The slave trade was engaged in by European state and non-state actors such as Great Britain, the Netherlands, Portugal and private companies, as well as various African states and non-state actors. With rising anti-slavery sentiment at home and changing economic realities, Great Britain outlawed the international slave trade in 1807. Following the Napoleonic Wars, Great Britain established the West Africa Squadron in an attempt to halt the international traffic in slaves. It stopped ships of other nations that were leaving the African coast with slaves; the seized slaves were taken to Freetown, a colony in West Africa originally established for the resettlement of freed slaves from Britain. Britain intervened in the Lagos Kingship power struggle by bombarding Lagos in 1851, deposing the slave trade friendly Oba Kosoko, helping to install the amenable Oba Akitoye, and signing the Treaty between Great Britain and Lagos on 1 January 1852. Britain annexed Lagos as a Crown Colony in August 1861 with the Lagos Treaty of Cession. British missionaries expanded their operations and travelled further inland. In 1864, Samuel Ajayi Crowther became the first African bishop of the Anglican Church.


After which war did Britain establish its West Africa Squadron?


Which Lagos king had supported the slave trade?


Where did Britain intervene in a power struggle?


Where did Britain take slaves it seized from traders?


Where was Britain's claim to West Africa recognized in 1885?

In 1885, British claims to a West African sphere of influence received recognition from other European nations at the Berlin Conference. The following year, it chartered the Royal Niger Company under the leadership of Sir George Taubman Goldie. In 1900 the company's territory came under the control of the British government, which moved to consolidate its hold over the area of modern Nigeria. On 1 January 1901, Nigeria became a British protectorate, and part of the British Empire, the foremost world power at the time. In the late 19th and early 20th centuries the independent kingdoms of what would become Nigeria fought a number of conflicts against the British Empire's efforts to expand its territory. By war, the British conquered Benin in 1897, and, in the Anglo-Aro War (1901–1902), defeated other opponents. The restraint or conquest of these states opened up the Niger area to British rule.


What company was led by Sir George Taubman Goldie?


When did the British government take over the Royal Niger Company's territory?


When did Nigeria become a British protectorate?


Which country did Britain conquer in 1897?


What religion built Western schools in Nigeria?

Christian missions established Western educational institutions in the Protectorates. Under Britain's policy of indirect rule and validation of Islamic tradition, the Crown did not encourage the operation of Christian missions in the northern, Islamic part of the country. Some children of the southern elite went to Great Britain to pursue higher education. By independence in 1960, regional differences in modern educational access were marked. The legacy, though less pronounced, continues to the present-day. Imbalances between North and South were expressed in Nigeria's political life as well. For instance, northern Nigeria did not outlaw slavery until 1936 whilst in other parts of Nigeria slavery was abolished soon after colonialism.


Britain discouraged building Christian missions in which part of Nigeria?


What religion was the majority in the northern part of Nigeria?


What was Nigeria's status after independence from the UK?

Nigeria gained independence from the United Kingdom as a Commonwealth Realm on 1 October 1960. Nigeria's government was a coalition of conservative parties: the Nigerian People's Congress (NPC), a party dominated by Northerners and those of the Islamic faith, and the Igbo and Christian-dominated National Council of Nigeria and the Cameroons (NCNC) led by Nnamdi Azikiwe. Azikiwe became Nigeria's maiden Governor-General in 1960. The opposition comprised the comparatively liberal Action Group (AG), which was largely dominated by the Yoruba and led by Obafemi Awolowo. The cultural and political differences between Nigeria's dominant ethnic groups – the Hausa ('Northerners'), Igbo ('Easterners') and Yoruba ('Westerners') – were sharp.


Which Nigerian political party was mostly Islamic?


Which Nigerian political party was mostly Christian?


Which Nigerian political party was mostly Yoruba?


In what year were there two military coups in Nigeria?

The disquilibrium and perceived corruption of the electoral and political process led, in 1966, to back-to-back military coups. The first coup was in January 1966 and was led by Igbo soldiers under Majors Emmanuel Ifeajuna and Chukwuma Kaduna Nzeogwu. The coup plotters succeeded in murdering Prime Minister Abubakar Tafawa Balewa, Premier Ahmadu Bello of the Northern Region and Premier Ladoke Akintola of the Western Region. But, the coup plotters struggled to form a central government. President Nwafor Orizu handed over government control to the Army, then under the command of another Igbo officer, General JTU Aguiyi-Ironsi.


Which Prime Minister was murdered in the Igbo coup?


Which Northern Premier was murdered in the Igbo coup?


Which Western Premier was murdered in the Igbo coup?


What did Eastern Nigeria want to call itself as an independent nation?

In May 1967, the Eastern Region declared independence as a state called the Republic of Biafra, under the leadership of Lt. Colonel Emeka Ojukwu. The Nigerian Civil War began as the official Nigerian government side (predominated by soldiers from the North and West) attacked Biafra (Southeastern) on 6 July 1967 at Garkem. The 30 month war, with a long siege of Biafra and its isolation from trade and supplies, ended in January 1970. Estimates of the number of dead in the former Eastern Region are between 1 and 3 million people, from warfare, disease, and starvation, during the 30-month civil war.


When did Eastern Nigeria declare its independence?


Who led Eastern Nigeria during the Nigerian Civil War?


How many months did the Nigerian Civil War last?


How many people died during the Nigerian Civil War?


During the oil boom of the 1970s, Nigeria joined OPEC and the huge revenue generated made the economy richer. Despite huge revenues from oil production and sale, the military administration did little to improve the standard of living of the population, help small and medium businesses, or invest in infrastructure. As oil revenues fuelled the rise of federal subventions to states, the federal government became the centre of political struggle and the threshold of power in the country. As oil production and revenue rose, the Nigerian government became increasingly dependent on oil revenues and the international commodity markets for budgetary and economic concerns. It did not develop other sources of the economy for economic stability. That spelled doom to federalism in Nigeria.


Who failed to use the oil revenues to invest in infrastructure?


Overdependence on oil income led to the fall of what form of government in Nigeria?


Which Nigerian leader transferred power in 1979?

Beginning in 1979, Nigerians participated in a brief return to democracy when Olusegun Obasanjo transferred power to the civilian regime of Shehu Shagari. The Shagari government became viewed as corrupt and incompetent by virtually all sectors of Nigerian society. The military coup of Muhammadu Buhari shortly after the regime's fraudulent re-election in 1984 was generally viewed as a positive development. Buhari promised major reforms, but his government fared little better than its predecessor. His regime was overthrown by another military coup in 1985.


Which Nigerian leader received power in 1979?


How did Nigerians view the Shagari administration?


Who led a military coup against Shagari?


When did another military coup overthrow Buhari?


Which Nigerian leader decided Nigeria would return to democracy in 1990?

The new head of state, Ibrahim Babangida, declared himself president and commander in chief of the armed forces and the ruling Supreme Military Council. He set 1990 as the official deadline for a return to democratic governance. Babangida's tenure was marked by a flurry of political activity: he instituted the International Monetary Fund's Structural Adjustment Program (SAP) to aid in the repayment of the country's crushing international debt, which most federal revenue was dedicated to servicing. He enrolled Nigeria in the Organisation of the Islamic Conference, which aggravated religious tensions in the country.


What did Babangida set up to help pay Nigeria's national debt?


What was most of Nigeria's federal income being spent on?


What controversial religious group did Nigeria join?


To when did Babangida delay the return to democracy?

After Babangida survived an abortive coup, he pushed back the promised return to democracy to 1992. Free and fair elections were finally held on 12 June 1993, with a presidential victory for Moshood Kashimawo Olawale Abiola. Babangida annulled the elections, leading to mass civilian violent protests which effectively shut down the country for weeks. Babangida finally kept his promise to relinquish office to a civilian-run government, but not before appointing Ernest Shonekan as head of the interim government. Babangida's regime has been considered the most corrupt, and responsible for creating a culture of corruption in Nigeria.


When did Nigeria finally hold a fair election?


Babangida's reaction to the election results caused violent protests for how long?


Who did Babangida appoint as head of an interim government when he finally stepped down?


Nigeria regained democracy in 1999 when it elected Olusegun Obasanjo, the former military head of state, as the new President of Nigeria. This ended almost 33 years of military rule (from 1966 until 1999), excluding the short-lived second republic (between 1979 and 1983) by military dictators who seized power in coups d'état and counter-coups during the Nigerian military juntas of 1966–1979 and 1983–1998. Although the elections which brought Obasanjo to power in 1999 and again in 2003 were condemned as unfree and unfair, Nigeria has shown marked improvements in attempts to tackle government corruption and to hasten development.


Nigeria was under military rule for how long?


Goodluck Jonathan served as Nigeria's president till 16 April 2011, when a new presidential election in Nigeria was conducted. Jonathan of the PDP was declared the winner on 19 April 2011, having won the election with a total of 22,495,187 of the 39,469,484 votes cast, to stand ahead of Muhammadu Buhari from the main opposition party, the Congress for Progressive Change (CPC), which won 12,214,853 of the total votes cast. The international media reported the elections as having run smoothly with relatively little violence or voter fraud, in contrast to previous elections.


How many votes did Goodluck get in 2011?


What was the main opposition political party in 2011?


Nigeria is a Federal Republic modelled after the United States, with executive power exercised by the president. It is influenced by the Westminster System model[citation needed] in the composition and management of the upper and lower houses of the bicameral legislature. The president presides as both Head of State and head of the national executive; the leader is elected by popular vote to a maximum of two 4-year terms. In the March 28, 2015 presidential election, General Muhammadu Buhari emerged victorious to become the Federal President of Nigeria, defeating then incumbent Goodluck Jonathan.


What houses does the Nigerian legislature have?


How many times can a Nigerian president be elected?


Who won the 2015 Nigerian presidential election?


Who lost the 2015 Nigerian presidential election?


What are Nigeria's 3 biggest ethnic groups?

Ethnocentrism, tribalism, religious persecution, and prebendalism have affected Nigerian politics both prior and subsequent to independence in 1960. Kin-selective altruism has made its way into Nigerian politics, resulting in tribalist efforts to concentrate Federal power to a particular region of their interests. Nationalism has also led to active secessionist movements such as MASSOB, Nationalist movements such as Oodua Peoples Congress, Movement for the Emancipation of the Niger Delta and a civil war. Nigeria's three largest ethnic groups (Hausa, Igbo and Yoruba) have maintained historical preeminence in Nigerian politics; competition amongst these three groups has fuelled corruption and graft.


What major secession movement has Nigeria had?


What major nationalist movement has Nigeria had?


How many seats does the People's Democratic Party of Nigeria have in the House?

Because of the above issues, Nigeria's political parties are pan-national and secular in character (though this does not preclude the continuing preeminence of the dominant ethnicities). The major political parties at that time included the then ruling People's Democratic Party of Nigeria, which maintains 223 seats in the House and 76 in the Senate (61.9% and 69.7% respectively); the opposition formerly All Nigeria People's Party now All Progressives Congress has 96 House seats and 27 in the Senate (26.6% and 24.7%). About twenty minor opposition parties are registered.


How many seats does the People's Democratic Party of Nigeria have in the Senate?


How many seats does the All Progressives Congress have in the House?


How many seats does the All Progressives Congress have in the Senate?


How many minor opposition parties does Nigeria have?


What group did Nigeria support against white governments in Southern Africa?

Nigeria's foreign policy was tested in the 1970s after the country emerged united from its own civil war. It supported movements against white minority governments in the Southern Africa sub-region. Nigeria backed the African National Congress (ANC) by taking a committed tough line with regard to the South African government and their military actions in southern Africa. Nigeria was also a founding member of the Organisation for African Unity (now the African Union), and has tremendous influence in West Africa and Africa on the whole. Nigeria has additionally founded regional cooperative efforts in West Africa, functioning as standard-bearer for the Economic Community of West African States (ECOWAS) and ECOMOG, economic and military organisations, respectively.


What group was Nigeria a founding member of?


What is the Organisation for African Unity now known as?


Nigeria is a 'standard-bearer' in what international group?


How many inches of rain does southern Nigeria get each year?

Nigeria has a varied landscape. The far south is defined by its tropical rainforest climate, where annual rainfall is 60 to 80 inches (1,500 to 2,000 mm) a year. In the southeast stands the Obudu Plateau. Coastal plains are found in both the southwest and the southeast. This forest zone's most southerly portion is defined as "salt water swamp," also known as a mangrove swamp because of the large amount of mangroves in the area. North of this is fresh water swamp, containing different vegetation from the salt water swamp, and north of that is rain forest.


What type of climate is southern Nigeria?


What part of Nigeria is the Obudu Plateau in?


What does the Cross River State area of Nigeria have the world's largest variety of?

The area near the border with Cameroon close to the coast is rich rainforest and part of the Cross-Sanaga-Bioko coastal forests ecoregion, an important centre for biodiversity. It is habitat for the drill monkey, which is found in the wild only in this area and across the border in Cameroon. The areas surrounding Calabar, Cross River State, also in this forest, are believed to contain the world's largest diversity of butterflies. The area of southern Nigeria between the Niger and the Cross Rivers has lost most of its forest because of development and harvesting by increased population, with it being replaced by grassland (see Cross-Niger transition forests).


Southern Nigeria is turning from a forest to what type of environment?


What type of monkey is only found in parts of Nigeria and Cameroon?


What ecoregion is in Nigeria near the Cameroon border?


Why is southern Nigeria losing its forests?


What type of vegetation is in central Nigeria?

Everything in between the far south and the far north is savannah (insignificant tree cover, with grasses and flowers located between trees). Rainfall is more limited, to between 500 and 1,500 millimetres (20 and 60 in) per year. The savannah zone's three categories are Guinean forest-savanna mosaic, Sudan savannah, and Sahel savannah. Guinean forest-savanna mosaic is plains of tall grass interrupted by trees. Sudan savannah is similar but with shorter grasses and shorter trees. Sahel savannah consists of patches of grass and sand, found in the northeast. In the Sahel region, rain is less than 500 millimetres (20 in) per year and the Sahara Desert is encroaching. In the dry north-east corner of the country lies Lake Chad, which Nigeria shares with Niger, Chad and Cameroon.


How many inches of rain does central Nigeria get each year?


How many subregions are there of Nigeria's savannah zone?


How much rain does the Sahel savannah area get per year?


Which desert is encroaching into northeastern Nigeria?


Waste management including sewage treatment, the linked processes of deforestation and soil degradation, and climate change or global warming are the major environmental problems in Nigeria. Waste management presents problems in a mega city like Lagos and other major Nigerian cities which are linked with economic development, population growth and the inability of municipal councils to manage the resulting rise in industrial and domestic waste. This huge waste management problem is also attributable to unsustainable environmental management lifestyles of Kubwa Community in the Federal Capital Territory, where there are habits of indiscriminate disposal of waste, dumping of waste along or into the canals, sewerage systems that are channels for water flows, etc.


What type of groups have been failing to keep up with waste management in Nigeria?


What Nigerian community has the worst unsustainable waste management?


Nigeria is divided into thirty-six states and one Federal Capital Territory, which are further sub-divided into 774 Local Government Areas (LGAs). The plethora of states, of which there were only three at independence, reflect the country's tumultuous history and the difficulties of managing such a heterogeneous national entity at all levels of government. In some contexts, the states are aggregated into six geopolitical zones: North West, North East, North Central, South East, South South, and South West.


How many smaller areas are the Nigerian states divided into?


What are the Nigerian states' sub-divisions called?


How many geopolitical zones do people consider the Nigerian states to be in?


Nigeria was ranked 30th in the world in terms of GDP (PPP) in 2012. Nigeria is the United States' largest trading partner in sub-Saharan Africa and supplies a fifth of its oil (11% of oil imports). It has the seventh-largest trade surplus with the US of any country worldwide. Nigeria is the 50th-largest export market for US goods and the 14th-largest exporter of goods to the US. The United States is the country's largest foreign investor. The International Monetary Fund (IMF) projected economic growth of 9% in 2008 and 8.3% in 2009. The IMF further projects an 8% growth in the Nigerian economy in 2011.


Which sub-Saharan African nation does the most trade with the US?


How much of the US's oil comes from Nigeria?


How much of the US's oil imports come from Nigeria?


How much growth did the IMF expect Nigeria's economy to have in 2009?


When was the Niger Delta Nembe Creek Oil field found?

The Niger Delta Nembe Creek Oil field was discovered in 1973 and produces from middle Miocene deltaic sandstone-shale in an anticline structural trap at a depth of 2–4 km. In June 2013, the company announced a strategic review of its operations in Nigeria, hinting that assets could be divested. While many international oil companies have operated there for decades, by 2014 most were making moves to divest their interests, citing a range of issues including oil theft. In August 2014, Shell Oil Company said it was finalising its interests in four Nigerian oil fields.


What is the depth of the Niger Delta Nembe Creek Oil field?


What type of geology is the Niger Delta Nembe Creek Oil field?


How long have international oil companies been in Nigeria?


How much money did overseas Nigerians send home in 2004?

According to the International Organization for Migration, Nigeria witnessed a dramatic increase in remittances sent home from overseas Nigerians, going from USD 2.3 billion in 2004 to 17.9 billion in 2007. The United States accounts for the largest portion of official remittances, followed by the United Kingdom, Italy, Canada, Spain and France. On the African continent, Egypt, Equatorial Guinea, Chad, Libya and South Africa are important source countries of remittance flows to Nigeria, while China is the biggest remittance-sending country in Asia.


How much money did overseas Nigerians send home in 2007?


Which country has Nigerians sending the most money home?


Which country has Nigerians sending the second-most money home?


Which Asian country has Nigerians sending the most money home?


What is Nigeria's local vehicle manufacturer?

Nigeria in recent years has been embracing industrialisation. It currently has an indigenous vehicle manufacturing company, Innoson Motors, which manufactures Rapid Transit Buses, Trucks and SUVs with an upcoming introduction of Cars. Nigeria also has few Electronic manufacturers like Zinox, the first Branded Nigerian Computer and Electronic gadgets (like tablet PCs) manufacturers. In 2013, Nigeria introduced a policy regarding import duty on vehicles to encourage local manufacturing companies in the country. In this regard, some foreign vehicle manufacturing companies like Nissan have made known their plans to have manufacturing plants in Nigeria. Ogun is considered to be the current Nigeria's industrial hub, as most factories are located in Ogun and more companies are moving there, followed by Lagos.


What is Nigeria's branded electronics manufacturer?


When did Nigeria change its import policies to encourage local manufacturers?


What city is Nigeria's main industrial area?


What city is Nigeria's secondary industrial area?


When did Nigeria launch its first satellite?

The Nigerian government has commissioned the overseas production and launch of four satellites. The Nigeriasat-1 was the first satellite to be built under the Nigerian government sponsorship. The satellite was launched from Russia on 27 September 2003. Nigeriasat-1 was part of the world-wide Disaster Monitoring Constellation System. The primary objectives of the Nigeriasat-1 were: to give early warning signals of environmental disaster; to help detect and control desertification in the northern part of Nigeria; to assist in demographic planning; to establish the relationship between malaria vectors and the environment that breeds malaria and to give early warning signals on future outbreaks of meningitis using remote sensing technology; to provide the technology needed to bring education to all parts of the country through distant learning; and to aid in conflict resolution and border disputes by mapping out state and International borders.


What was Nigeria's first satellite called?


Where did Nigeria launch its first satellite?


How many satellites has the Nigerian government commissioned?


What was Nigeria's second satellite called?

NigeriaSat-2, Nigeria's second satellite, was built as a high-resolution earth satellite by Surrey Space Technology Limited, a United Kingdom-based satellite technology company. It has 2.5-metre resolution panchromatic (very high resolution), 5-metre multispectral (high resolution, NIR red, green and red bands), and 32-metre multispectral (medium resolution, NIR red, green and red bands) antennas, with a ground receiving station in Abuja. The NigeriaSat-2 spacecraft alone was built at a cost of over £35 million. This satellite was launched into orbit from a military base in China.


Who manufactured Nigeria's second satellite?


Where was Nigeria's second satellite manufactured?


Where is Nigeria's second satellite's ground receiving station?


Where was Nigeria's second satellite launched?


What was Nigeria's third satellite called?

NigComSat-1, a Nigerian satellite built in 2004, was Nigeria's third satellite and Africa's first communication satellite. It was launched on 13 May 2007, aboard a Chinese Long March 3B carrier rocket, from the Xichang Satellite Launch Centre in China. The spacecraft was operated by NigComSat and the Nigerian Space Agency, NASRDA. On 11 November 2008, NigComSat-1 failed in orbit after running out of power because of an anomaly in its solar array. It was based on the Chinese DFH-4 satellite bus, and carries a variety of transponders: 4 C-band; 14 Ku-band; 8 Ka-band; and 2 L-band. It was designed to provide coverage to many parts of Africa, and the Ka-band transponders would also cover Italy.


When was Nigeria's third satellite built?


When was Nigeria's third satellite launched?


When did Nigeria's third satellite run out of power?


where was Nigeria's third satellite launched?


When was Nigeria's fourth satellite launched?

On 24 March 2009, the Nigerian Federal Ministry of Science and Technology, NigComSat Ltd. and CGWIC signed another contract for the in-orbit delivery of the NigComSat-1R satellite. NigComSat-1R was also a DFH-4 satellite, and the replacement for the failed NigComSat-1 was successfully launched into orbit by China in Xichang on December 19, 2011. The satellite according to then-Nigerian President Goodluck Jonathan which was paid for by the insurance policy on NigComSat-1 which de-orbited in 2009, would have a positive impact on national development in various sectors such as communications, internet services, health, agriculture, environmental protection and national security.


Where was Nigeria's fourth satellite launched?


What paid for Nigeria's fourth satellite?


What was Nigeria's fourth satellite called?


What satellite did Nigeria's fourth satellite replace?


The United Nations estimates that the population in 2009 was at 154,729,000, distributed as 51.7% rural and 48.3% urban, and with a population density of 167.5 people per square kilometre. National census results in the past few decades have been disputed. The results of the most recent census were released in December 2006 and gave a population of 140,003,542. The only breakdown available was by gender: males numbered 71,709,859, females numbered 68,293,08. On June 2012, President Goodluck Jonathan said that Nigerians should limit their number of children.


How much of Nigeria's population in 2009 was rural?


How much of Nigeria's population in 2009 was urban?


What was Nigeria's population density in 2009?


When did President Goodluck Jonathan advocate limiting childbirth?


What is the official language of Nigeria?

Even though most ethnic groups prefer to communicate in their own languages, English as the official language is widely used for education, business transactions and for official purposes. English as a first language is used only by a small minority of the country's urban elite, and it is not spoken at all in some rural areas. Hausa is the most widely spoken of the 3 main languages spoken in Nigeria itself (Igbo, Hausa and Yoruba) but unlike the Yorubas and Igbos, the Hausas tend not to travel far outside Nigeria itself.[citation needed]


How much of Nigeria uses English as a first language?


What is the most popular language in Nigeria?


What are the top 3 languages in Nigeria?


What is Nigerian Pidgin English often called?

With the majority of Nigeria's populace in the rural areas, the major languages of communication in the country remain indigenous languages. Some of the largest of these, notably Yoruba and Igbo, have derived standardised languages from a number of different dialects and are widely spoken by those ethnic groups. Nigerian Pidgin English, often known simply as 'Pidgin' or 'Broken' (Broken English), is also a popular lingua franca, though with varying regional influences on dialect and slang. The pidgin English or Nigerian English is widely spoken within the Niger Delta Regions, predominately in Warri, Sapele, Port Harcourt, Agenebode, Ewu, and Benin City.


What regions is Nigerian English commonly spoken in?


What type of region does a majority of Nigerians live in?


What type of languages are the most popular in Nigeria?


What are the most popular religions in Nigeria?

Nigeria is a religiously diverse society, with Islam and Christianity being the most widely professed religions. Nigerians are nearly equally divided into Christians and Muslims, with a tiny minority of adherents of Animism and other religions. According to one recent estimate, over 40% of Nigeria's population adheres to Islam (mainly Sunni, other branches are also present). Christianity is practised by 58% of the population (among them 74% are Protestant, 25% Roman Catholic, 1% other Christian). Adherents of Animism and other religions collectively represent 1.4% of the population.


What religions does Nigeria have besides the top two?


How much of Nigeria's population is Muslim?


How much of Nigeria's population is Christian?


How much of Nigeria's population is Animist and other religions?


What type of Islam is most common in Nigeria?

The vast majority of Muslims in Nigeria are Sunni belonging to Maliki school of jurisprudence; however, a sizeable minority also belongs to Shafi madhhab. A large number of Sunni Muslims are members of Sufi brotherhoods. Most Sufis follow the Qadiriyya, Tijaniyyah and/or the Mouride movements. A significant Shia minority exists (see Shia in Nigeria). Some northern states have incorporated Sharia law into their previously secular legal systems, which has brought about some controversy. Kano State has sought to incorporate Sharia law into its constitution. The majority of Quranists follow the Kalo Kato or Quraniyyun movement. There are also Ahmadiyya and Mahdiyya minorities.


What school of Sunni Islam is most common in Nigeria?


What Islamic law is being used in some Nigerian states?


What Nigerian state is trying to make Sharia law part of its constitution?


In 2001, what percent of Nigeria's population was Muslim?

According to a 2001 report from The World Factbook by CIA, about 50% of Nigeria's population is Muslim, 40% are Christians and 10% adhere to local religions. But in some recent report, the Christian population is now sightly larger than the Muslim population. An 18 December 2012 report on religion and public life by the Pew Research Center stated that in 2010, 49.3 percent of Nigeria's population was Christian, 48.8 percent was Muslim, and 1.9 percent were followers of indigenous and other religions, or unaffiliated. Additionally, the 2010s census of Association of Religion Data Archives has reported that 46.5 percent of the total population is Christian, slightly bigger than the Muslim population of 45.5 percent, and that 7.7 percent are members of other religious groups.


In 2001, what percent of Nigeria's population was Christian?


In 2001, what percent of Nigeria's population followed local religions?


According to Pew, in 2010, what percent of Nigeria's population was Muslim?


According to Pew, in 2010, what percent of Nigeria's population was Christian?


How many Nigerian Christians are Protestant?

Among Christians, the Pew Research survey found that 74% were Protestant, 25% were Catholic, and 1% belonged to other Christian denominations, including a small Orthodox Christian community. In terms of Nigeria's major ethnic groups, the Hausa ethnic group (predominant in the north) was found to be 95% Muslim and 5% Christian, the Yoruba tribe (predominant in the west) was 55% Muslim, 35% Christian and 10% adherents of other religions, while the Igbos (predominant in the east) and the Ijaw (south) were 98% Christian, with 2% practising traditional religions. The middle belt of Nigeria contains the largest number of minority ethnic groups in Nigeria, who were found to be mostly Christians and members of traditional religions, with a small proportion of Muslims.


How many Nigerian Christians are Catholic?


How many Nigerian Christians are Orthodox and other sects?


Which Eastern Nigerian tribe is 98% Christian?


When did many newer churches start growing in Nigeria?

Leading Protestant churches in the country include the Church of Nigeria of the Anglican Communion, the Assemblies of God Church, the Nigerian Baptist Convention and The Synagogue, Church Of All Nations Since the 1990s, there has been significant growth in many other churches, particularly the evangelical Protestant ones. These include the Redeemed Christian Church of God, Winners' Chapel, Christ Apostolic Church (the first Aladura Movement in Nigeria), Deeper Christian Life Ministry, Evangelical Church of West Africa, Mountain of Fire and Miracles, Christ Embassy and The Synagogue Church Of All Nations. In addition, The Church of Jesus Christ of Latter-day Saints, the Aladura Church, the Seventh-day Adventist and various indigenous churches have also experienced growth.


What is the largest Anglican church in Nigeria?


What is the largest Baptist church in Nigeria?


Health care delivery in Nigeria is a concurrent responsibility of the three tiers of government in the country, and the private sector. Nigeria has been reorganising its health system since the Bamako Initiative of 1987, which formally promoted community-based methods of increasing accessibility of drugs and health care services to the population, in part by implementing user fees. The new strategy dramatically increased accessibility through community-based healthcare reform, resulting in more efficient and equitable provision of services. A comprehensive approach strategy was extended to all areas of health care, with subsequent improvement in the health care indicators and improvement in health care efficiency and cost.


Nigeria is adding what kind of costs to its healthcare system?


When did Nigeria start reorganizing its healthcare system?


HIV/AIDS rate in Nigeria is much lower compared to the other African nations such as Kenya or South Africa whose prevalence (percentage) rates are in the double digits. As of 2012[update], the HIV prevalence rate among adults ages 15–49 was just 3.1 percent. As of 2014[update], Life expectancy in Nigeria is 52.62 years on average according to CIA, and just over half the population have access to potable water and appropriate sanitation; As of 2010[update], the Infant mortality is 8.4 deaths per 1000 live births.


How much of the Nigerian population has access to clean water?


What was Nigeria's infant mortality rate as of 2010?


What was the last African country to still have significant Polio problems?

Nigeria was the only country in Africa to have never eradicated polio, which it periodically exported to other African countries; Polio was cut 98% between 2009 and 2010. However, a major breakthrough came in December 2014, when it was reported that Nigeria hadn't recorded a polio case in 6 months, and on its way to be declared Polio free. In 2012, a new bone marrow donor program was launched by the University of Nigeria to help people with leukaemia, lymphoma, or sickle cell disease to find a compatible donor for a life-saving bone marrow transplant, which cures them of their conditions. Nigeria became the second African country to have successfully carried out this surgery. In the 2014 ebola outbreak, Nigeria was the first country to effectively contain and eliminate the Ebola threat that was ravaging three other countries in the West African region, the Nigerian unique method of contact tracing employed by Nigeria became an effective method later used by countries, such as the united States, when ebola threats were discovered.


When had Nigeria not had a reported polio case in 6 months for the first time?


When did Nigeria launch a bone marrow donation program?


Which entity runs Nigeria's bone marrow donation program?


Nigeria was the second African country to perform which medical procedure?


Education in Nigeria is overseen by the Ministry of Education. Local authorities take responsibility for implementing policy for state-controlled public education and state schools at a regional level. The education system is divided into Kindergarten, primary education, secondary education and tertiary education. After the 1970s oil boom, tertiary education was improved so that it would reach every subregion of Nigeria. 68% of the Nigerian population is literate, and the rate for men (75.7%) is higher than that for women (60.6%).


When did Nigeria improve its tertiary education?


How much of Nigeria's population can read?


How much of Nigeria's male population can read?


How much of Nigeria's female population can read?


What is Nigeria's most popular organized-crime activity?

Nigeria is home to a substantial network of organised crime, active especially in drug trafficking. Nigerian criminal groups are heavily involved in drug trafficking, shipping heroin from Asian countries to Europe and America; and cocaine from South America to Europe and South Africa. . The various Nigerian Confraternities or "campus cults" are active in both organised crime and in political violence as well as providing a network of corruption within Nigeria. As confraternities have extensive connections with political and military figures, they offer excellent alumni networking opportunities. The Supreme Vikings Confraternity, for example, boasts that twelve members of the Rivers State House of Assembly are cult members. On lower levels of society, there are the "area boys", organised gangs mostly active in Lagos who specialise in mugging and small-scale drug dealing. According to official statistics, gang violence in Lagos resulted in 273 civilians and 84 policemen killed in the period of August 2000 to May 2001.


What drug does Nigeria ship from Asia to Europe and America?


What drug does Nigeria ship from South America to Europe and South Africa?


How many civilians were killed in Lagos in Aug 2000-May 2001?


How many police were killed in Lagos in Aug 2000-May 2001?


What law is the Nigerian 419 scam nicknamed after?

Internationally, Nigeria is infamous for a form of bank fraud dubbed 419, a type of advance fee fraud (named after Section 419 of the Nigerian Penal Code) along with the "Nigerian scam", a form of confidence trick practised by individuals and criminal syndicates. These scams involve a complicit Nigerian bank (the laws being set up loosely to allow it) and a scammer who claims to have money he needs to obtain from that bank. The victim is talked into exchanging bank account information on the premise that the money will be transferred to him, and then he'll get to keep a cut. In reality, money is taken out instead, and/or large fees (which seem small in comparison with the imaginary wealth he awaits) are deducted. In 2003, the Nigerian Economic and Financial Crimes Commission (or EFCC) was created, ostensibly to combat this and other forms of organised financial crime.


What organization was created to combat the 419 scams?


What type of entity is complicit in the 419 scams?


In 2011 rankings, how bad was Nigeria's corruption ranking?

Nigeria has also been pervaded by political corruption. It was ranked 143 out of 182 countries in Transparency International's 2011 Corruption Perceptions Index; however, it improved to 136th position in 2014. More than $400 billion were stolen from the treasury by Nigeria's leaders between 1960 and 1999. In late 2013, Nigeria's then central bank governor Lamido Sanusi informed President Goodluck Jonathan that the state oil company, NNPC had failed to remit US$20 billion of oil revenues, which it owed the state. Jonathan however dismissed the claim and replaced Sanusi for his mismanagement of the central bank's budget. A Senate committee also found Sanusi’s account to be lacking substance. After the conclusion of the NNPC's account Audit, it was announced in January 2015 that NNPC's non-remitted revenue is actually US$1.48billion, which it needs to refund back to the Government.


In 2014 rankings, how bad was Nigeria's corruption ranking?


How much was embezzled from the Nigerian government in 1960-1999?


The state oil company NNPC was initially thought to owe how much to the government?


In a corrected audit, the state oil company NNPC was found to only owe how much to the government?


When did the Nigerian film industry begin?

The Nigerian film industry is known as Nollywood (a portmanteau of Nigeria and Hollywood) and is now the 2nd-largest producer of movies in the world. Nigerian film studios are based in Lagos, Kano and Enugu, forming a major portion of the local economy of these cities. Nigerian cinema is Africa's largest movie industry in terms of both value and the number of movies produced per year. Although Nigerian films have been produced since the 1960s, the country's film industry has been aided by the rise of affordable digital filming and editing technologies.


Which African country has the continent's largest movie industry?


Which cities are Nigeria's movie studios located in?


What is the nickname for Nigeria's movie industry?


Where does Nigeria's movie industry rank worldwide?


Which years did Nigeria win the African Cup of Nations?

Football is largely considered the Nigeria's national sport and the country has its own Premier League of football. Nigeria's national football team, known as the "Super Eagles", has made the World Cup on five occasions 1994, 1998, 2002, 2010, and most recently in 2014. In April 1994, the Super Eagles ranked 5th in the FIFA World Rankings, the highest ranking achieved by an African football team. They won the African Cup of Nations in 1980, 1994, and 2013, and have also hosted the U-17 & U-20 World Cup. They won the gold medal for football in the 1996 Summer Olympics (in which they beat Argentina) becoming the first African football team to win gold in Olympic Football.


When did Nigeria win a Summer Olympics gold medal?


What did Nigeria win a Summer Olympics gold medal for?


What country did Nigeria beat to win a Summer Olympics gold medal?


What is Nigeria's national football team called?


The nation's cadet team from Japan '93 produced some international players notably Nwankwo Kanu, a two-time African Footballer of the year who won the European Champions League with Ajax Amsterdam and later played with Inter Milan, Arsenal, West Bromwich Albion and Portsmouth. Other players that graduated from the junior teams are Nduka Ugbade, Jonathan Akpoborie, Victor Ikpeba, Celestine Babayaro, Wilson Oruma and Taye Taiwo. Some other famous Nigerian footballers include John Obi Mikel, Obafemi Martins, Vincent Enyeama, Yakubu Aiyegbeni, Rashidi Yekini, Peter Odemwingie and Jay-Jay Okocha.


Nwankwo Kanu won in what championship league?


What team did Nwankwo Kanu go on to play on?


Nigeria's human rights record remains poor; According to the US Department of State, the most significant human rights problems are: use of excessive force by security forces; impunity for abuses by security forces; arbitrary arrests; prolonged pretrial detention; judicial corruption and executive influence on the judiciary; rape, torture and other cruel, inhuman or degrading treatment of prisoners, detainees and suspects; harsh and life‑threatening prison and detention centre conditions; human trafficking for the purpose of prostitution and forced labour; societal violence and vigilante killings; child labour, child abuse and child sexual exploitation; female genital mutilation (FGM); domestic violence; discrimination based on sex, ethnicity, region and religion.


What are the conditions like in Nigerian prisons?


What types of discrimination are common in Nigeria?


How far back does evidence of inhabitation date back

Although there is some evidence of earlier inhabitation in the region of Utrecht, dating back to the Stone Age (app. 2200 BCE) and settling in the Bronze Age (app. 1800–800 BCE), the founding date of the city is usually related to the construction of a Roman fortification (castellum), probably built in around 50 CE. A series of such fortresses was built after the Roman emperor Claudius decided the empire should not expand north. To consolidate the border the limes Germanicus defense line was constructed along the main branch of the river Rhine, which at that time flowed through a more northern bed compared to today (what is now the Kromme Rijn). These fortresses were designed to house a cohort of about 500 Roman soldiers. Near the fort settlements would grow housing artisans, traders and soldiers' wives and children.


What did the Roman emperor Claudius decide


From the middle of the 3rd century Germanic tribes regularly invaded the Roman territories. Around 275 the Romans could no longer maintain the northern border and Utrecht was abandoned. Little is known about the next period 270–650. Utrecht is first spoken of again several centuries after the Romans left. Under the influence of the growing realms of the Franks, during Dagobert I's reign in the 7th century, a church was built within the walls of the Roman fortress. In ongoing border conflicts with the Frisians this first church was destroyed.


By the mid-7th century, English and Irish missionaries set out to convert the Frisians. The pope appointed their leader, Willibrordus, bishop of the Frisians. The tenure of Willibrordus is generally considered to be the beginning of the Bishopric of Utrecht. In 723, the Frankish leader Charles Martel bestowed the fortress in Utrecht and the surrounding lands as the base of the bishops. From then on Utrecht became one of the most influential seats of power for the Roman Catholic Church in the Netherlands. The archbishops of Utrecht were based at the uneasy northern border of the Carolingian Empire. In addition, the city of Utrecht had competition from the nearby trading centre Dorestad. After the fall of Dorestad around 850, Utrecht became one of the most important cities in the Netherlands. The importance of Utrecht as a centre of Christianity is illustrated by the election of the Utrecht-born Adriaan Florenszoon Boeyens as pope in 1522 (the last non-Italian pope before John Paul II).


What hapend when Frankish rulers established the system of feudalism

When the Frankish rulers established the system of feudalism, the Bishops of Utrecht came to exercise worldly power as prince-bishops. The territory of the bishopric not only included the modern province of Utrecht (Nedersticht, 'lower Sticht'), but also extended to the northeast. The feudal conflict of the Middle Ages heavily affected Utrecht. The prince-bishopric was involved in almost continuous conflicts with the Counts of Holland and the Dukes of Guelders. The Veluwe region was seized by Guelders, but large areas in the modern province of Overijssel remained as the Oversticht.


What was part of the territory of bishopric


Who was in conflict with the prince bishopric


What was the Most dominant Cathedral in Utrecht

Several churches and monasteries were built inside, or close to, the city of Utrecht. The most dominant of these was the Cathedral of Saint Martin, inside the old Roman fortress. The construction of the present Gothic building was begun in 1254 after an earlier romanesque construction had been badly damaged by fire. The choir and transept were finished from 1320 and were followed then by the ambitious Dom tower. The last part to be constructed was the central nave, from 1420. By that time, however, the age of the great cathedrals had come to an end and declining finances prevented the ambitious project from being finished, the construction of the central nave being suspended before the planned flying buttresses could be finished. Besides the cathedral there were four collegiate churches in Utrecht: St. Salvator's Church (demolished in the 16th century), on the Dom square, dating back to the early 8th century. Saint John (Janskerk), originating in 1040; Saint Peter, building started in 1039 and Saint Mary's church building started around 1090 (demolished in the early 19th century, cloister survives). Besides these churches the city housed St. Paul's Abbey, the 15th-century beguinage of St. Nicholas, and a 14th-century chapter house of the Teutonic Knights.


How many collegiate churches existed in Utecht besides the cathedral


The location on the banks of the river Rhine allowed Utrecht to become an important trade centre in the Northern Netherlands. The growing town Utrecht was granted city rights by Henry V in 1122. When the main flow of the Rhine moved south, the old bed, which still flowed through the heart of the town became evermore canalized; and the wharf system was built as an inner city harbour system. On the wharfs storage facilities (werfkelders) were built, on top of which the main street, including houses was constructed. The wharfs and the cellars are accessible from a platform at water level with stairs descending from the street level to form a unique structure.[nb 2] The relations between the bishop, who controlled many lands outside of the city, and the citizens of Utrecht was not always easy. The bishop, for example dammed the Kromme Rijn at Wijk bij Duurstede to protect his estates from flooding. This threatened shipping for the city and led the city of Utrecht to commission a canal to ensure access to the town for shipping trade: the Vaartse Rijn, connecting Utrecht to the Hollandse IJssel at IJsselstein.


What was the relationship with the bishop like for citizens of Utrecht


In 1528 the bishop lost secular power over both Neder- and Oversticht – which included the city of Utrecht – to Charles V, Holy Roman Emperor. Charles V combined the Seventeen Provinces (the current Benelux and the northern parts of France) as a personal union. This ended the prince-bishopric Utrecht, as the secular rule was now the lordship of Utrecht, with the religious power remaining with the bishop, although Charles V had gained the right to appoint new bishops. In 1559 the bishopric of Utrecht was raised to archbishopric to make it the religious center of the Northern ecclesiastical province in the Seventeen provinces.


What was the bishop of Utrecht raised to


Why was the transition to a new union difficult

The transition from independence to a relatively minor part of a larger union was not easily accepted. To quell uprisings Charles V was struggling to exert his power over the citizens of the city, who had struggled to gain a certain level of independence from the bishops and were not willing to cede this to their new lord. The heavily fortified castle Vredenburg was built to house a large garrison whose main task was to maintain control over the city. The castle would last less than 50 years before it was demolished in an uprising in the early stages of the Dutch Revolt.


In 1579 the northern seven provinces signed the Union of Utrecht, in which they decided to join forces against Spanish rule. The Union of Utrecht is seen as the beginning of the Dutch Republic. In 1580 the new and predominantly Protestant state abolished the bishoprics, including the archbishopric of Utrecht. The stadtholders disapproved of the independent course of the Utrecht bourgeoisie and brought the city under much more direct control of the republic; which shifted the power towards its dominant province Holland. This was the start of a long period of stagnation of trade and development in Utrecht. Utrecht remained an atypical city in the new republic with about 40% Catholic in the mid-17th century, and even more among the elite groups, who included many rural nobility and gentry with town houses there.


Who did the fortified city fall to in 1672

The fortified city temporarily fell to the French invasion in 1672 (the Disaster Year); where the French invasion was only stopped west of Utrecht at the Old Hollandic Waterline. In 1674, only two years after the French left, the centre of Utrecht was struck by a tornado. The halt to building before construction of flying buttresses in the 15th century now proved to be the undoing of the central section of the cathedral of St Martin church which collapsed; creating the current Dom square between the tower and choir. In 1713, Utrecht hosted one of the first international peace negotiations when the Treaty of Utrecht settled the War of the Spanish Succession. Since 1723 Utrecht became the centre of the non-Roman Old Catholic Churches in the world.


In the early 19th century, the role of Utrecht as a fortified town had become obsolete. The fortifications of the Nieuwe Hollandse Waterlinie were moved east of Utrecht. The town walls could now be demolished to allow for expansion. The moats remained intact and formed an important feature of the Zocher plantsoen, an English style landscape park that remains largely intact today. Growth of the city increased when, in 1843, a railway connecting Utrecht to Amsterdam was opened. After that, Utrecht gradually became the main hub of the Dutch railway network. With the industrial revolution finally gathering speed in the Netherlands and the ramparts taken down, Utrecht began to grow far beyond the medieval centre. In 1853, the Dutch government allowed the bishopric of Utrecht to be reinstated by Rome, and Utrecht became the centre of Dutch Catholicism once more. From the 1880s onward neighbourhoods such as Oudwijk, Wittevrouwen, Vogelenbuurt to the East, and Lombok to the West were developed. New middle class residential areas, such as Tuindorp and Oog in Al, were built in the 1920s and 1930s. During this period, several Jugendstil houses and office buildings were built, followed by Rietveld who built the Rietveld Schröder House (1924), and Dudok's construction of the city theater (1941).


The area surrounding Utrecht Centraal railway station and the station itself were developed following modernist ideas of the 1960s, in a brutalist style. This led to the construction of the shopping mall Hoog Catharijne (nl), music centre Vredenburg (Hertzberger, 1979), and conversion of part of the ancient canal structure into a highway (Catherijnebaan). Protest against further modernisation of the city centre followed even before the last buildings were finalised. In the early 21st century the whole area is being redeveloped. The music redeveloped music centre opened in 2014 where the original Vredenburg concert and rock and jazz halls are brought together in a single building.


What happened in the early 21 st century


What Socio economic problems does Utrecht face

About 69% of the population is of Dutch ancestry. Approximately 10% of the population consists of immigrants from Western countries, while 21% of the population is of non-Western origin (9% Moroccan, 5% Turkish, 3% Surinamese and Dutch Caribbean and 5% of other countries). Some of the city's boroughs have a relatively high percentage of originally non-Dutch inhabitants – i.e. Kanaleneiland 83% and Overvecht 57%. Like Rotterdam, Amsterdam, The Hague and other large Dutch cities, Utrecht faces some socio-economic problems. About 38% percent of its population either earns a minimum income or is dependent on social welfare (17% of all households). Boroughs such as Kanaleneiland, Overvecht and Hoograven consist primarily of high-rise housing developments, and are known for relatively high poverty and crime rate.


What does the dense population make difficult

Utrecht is the centre of a densely populated area, which makes concise definitions of its agglomeration difficult, and somewhat arbitrary. The smaller Utrecht agglomeration of continuously built up areas counts some 420,000 inhabitants and includes Nieuwegein, IJsselstein and Maarssen. It is sometimes argued that the close by municipalities De Bilt, Zeist, Houten, Vianen, Driebergen-Rijsenburg (Utrechtse Heuvelrug), and Bunnik should also be counted towards the Utrecht agglomeration, bringing the total to 640,000 inhabitants. The larger region, including slightly more remote towns such as Woerden and Amersfoort counts up to 820,000 inhabitants.


Utrecht's cityscape is dominated by the Dom Tower, the tallest belfry in the Netherlands and originally part of the Cathedral of Saint Martin. An ongoing debate is over whether any building in or near the centre of town should surpass the Dom Tower in height (112 m). Nevertheless, some tall buildings are now being constructed that will become part of the skyline of Utrecht. The second tallest building of the city, the Rabobank-tower, was completed in 2010 and stands 105 m (344.49 ft) tall. Two antennas will increase that height to 120 m (393.70 ft). Two other buildings were constructed around the Nieuw Galgenwaard stadium (2007). These buildings, the 'Kantoortoren Galghenwert' and 'Apollo Residence', stand 85.5 and 64.5 metres high respectively.


Another landmark is the old centre and the canal structure in the inner city. The Oudegracht is a curved canal, partly following the ancient main branch of the Rhine. It is lined with the unique wharf-basement structures that create a two-level street along the canals. The inner city has largely retained its Medieval structure, and the moat ringing the old town is largely intact. Because of the role of Utrecht as a fortified city, construction outside the medieval centre and its city walls was restricted until the 19th century. Surrounding the medieval core there is a ring of late 19th- and early 20th-century neighbourhoods, with newer neighbourhoods positioned farther out. The eastern part of Utrecht remains fairly open. The Dutch Water Line, moved east of the city in the early 19th century required open lines of fire, thus prohibiting all permanent constructions until the middle of the 20th century on the east side of the city.


Utrecht Centraal is the main railway station of Utrecht. There are regular intercity services to all major Dutch cities; direct services to Schiphol Airport. Utrecht Centraal is a station on the night service, providing 7 days a week an all night service to (among others) Schiphol Airport, Amsterdam and Rotterdam. International InterCityExpress (ICE) services to Germany (and further) through Arnhem call at Utrecht Centraal. Regular local trains to all areas surrounding Utrecht also depart from Utrecht Centraal; and service several smaller stations: Utrecht Lunetten, Utrecht Vaartsche Rijn, Utrecht Overvecht, Utrecht Leidsche Rijn, Utrecht Terwijde, Utrecht Zuilen and Vleuten. A former station Utrecht Maliebaan closed in 1939 and has since been converted into the Dutch Railway Museum.


Does the rail station provide 24 hour service


where to regular local trains provide service


The main local and regional bus station of Utrecht is located adjacent to Utrecht Centraal railway station, at the East and West entrances. Due to large scale renovation and construction works at the railway station, the station's bus stops are changing frequently. As a general rule, westbound buses depart from the bus station on the west entrance, other buses from the east side station. Local buses in Utrecht are operated by Qbuzz – its services include a high-frequency service to the Uithof university district. The local bus fleet is one of Europe's cleanest, using only buses compliant with the Euro-VI standard as well as electric buses for inner city transport. Regional buses from the city are operated by Arriva and Connexxion.


Like most Dutch cities, Utrecht has an extensive network of cycle paths, making cycling safe and popular. 33% of journeys within the city are by bicycle, more than any other mode of transport. (Cars, for example, account for 30% of trips). Bicycles are used by young and old people, and by individuals and families. They are mostly traditional, upright, steel-framed bicycles, with few or no gears. There are also barrow bikes, for carrying shopping or small children. As thousands of bicycles are parked haphazardly in town, creating an eyesore but also impeding pedestrians, the City Council decided in 2014 to build the world's largest bicycle parking station, near the Central Railway Station. This 3-floor construction will cost an estimated 48 million Euro and will hold 12,500 bicycles. Completion is foreseen in 2018.


Is Utrecht connected to the Dutch road system

Utrecht is well-connected to the Dutch road network. Two of the most important major roads serve the city of Utrecht: the A12 and A2 motorways connect Amsterdam, Arnhem, The Hague and Maastricht, as well as Belgium and Germany. Other major motorways in the area are the Almere–Breda A27 and the Utrecht–Groningen A28. Due to the increasing traffic and the ancient city plan, traffic congestion is a common phenomenon in and around Utrecht, causing elevated levels of air pollutants. This has led to a passionate debate in the city about the best way to improve the city's air quality.


What countries do the A12 and A2 connect


Production industry constitutes a small part of the economy of Utrecht. The economy of Utrecht depends for a large part on the several large institutions located in the city. It is the centre of the Dutch railroad network and the location of the head office of Nederlandse Spoorwegen. ProRail is headquartered in The De Inktpot (nl) (The Inkpot) – the largest brick building in the Netherlands (the "UFO" featured on its façade stems from an art program in 2000). Rabobank, a large bank, has its headquarters in Utrecht.


What is the name of the large shopping center

A large indoor shopping centre Hoog Catharijne (nl) is located between Utrecht Centraal railway station and the city centre. The corridors are treated as public places like streets, and the route between the station and the city centre is open all night. In 20 years from 2004, parts of Hoog Catharijne will be redeveloped as part of the renovation of the larger station area. Parts of the city's network of canals, which were filled to create the shopping center and central station area, will be recreated. The Jaarbeurs, one of the largest convention centres in the Netherlands, is located at the west side of the central railway station.


how are the shopping center corridors treated


what is located on the west side of the rail station


What is the largest University in the city

Utrecht hosts several large institutions of higher education. The most prominent of these is Utrecht University (est. 1636), the largest university of the Netherlands with 30,449 students (as of 2012). The university is partially based in the inner city as well as in the Uithof campus area, to the east of the city. According to Shanghai Jiaotong University's university ranking in 2014 it is the 57th best university in the world. Utrecht also houses the much smaller University of Humanistic Studies, which houses about 400 students.


Utrecht city has an active cultural life, and in the Netherlands is second only to Amsterdam. There are several theatres and theatre companies. The 1941 main city theatre was built by Dudok. Besides theatres there is a large number of cinemas including three arthouse cinemas. Utrecht is host to the international Early Music Festival (Festival Oude Muziek, for music before 1800) and the Netherlands Film Festival. The city has an important classical music hall Vredenburg (1979 by Herman Hertzberger). Its acoustics are considered among the best of the 20th-century original music halls.[citation needed] The original Vredenburg music hall has been redeveloped as part of the larger station area redevelopment plan and in 2014 has gained additional halls that allowed its merger with the rock club Tivoli and the SJU jazzpodium. There are several other venues for music throughout the city. Young musicians are educated in the conservatory, a department of the Utrecht School of the Arts. There is a specialised museum of automatically playing musical instruments.


There are many art galleries in Utrecht. There are also several foundations to support art and artists. Training of artists is done at the Utrecht School of the Arts. The Centraal Museum has many exhibitions on the arts, including a permanent exhibition on the works of Utrecht resident illustrator Dick Bruna, who is best known for creating Miffy ("Nijntje", in Dutch). Although street art is illegal in Utrecht, the Utrechtse Kabouter, a picture of a gnome with a red hat, became a common sight in 2004. Utrecht also houses one of the landmarks of modern architecture, the 1924 Rietveld Schröder House, which is listed on UNESCO's world heritage sites.


What is considered landmark Architecture


To promote culture Utrecht city organizes cultural Sundays. During a thematic Sunday several organisations create a program, which is open to everyone without, or with a very much reduced, admission fee. There are also initiatives for amateur artists. The city subsidises an organisation for amateur education in arts aimed at all inhabitants (Utrechts Centrum voor de Kunsten), as does the university for its staff and students. Additionally there are also several private initiatives. The city council provides coupons for discounts to inhabitants who receive welfare to be used with many of the initiatives.


What type of coupon does the city provide the poor


Utrecht is home to the premier league (professional) football club FC Utrecht, which plays in Stadium Nieuw Galgenwaard. It is also the home of Kampong, the largest (amateur) sportsclub in the Netherlands (4,500 members), SV Kampong. Kampong features fieldhockey, soccer, cricket, tennis, squash and jeu de boules. Kampong's men and women top hockey squads play in the highest Dutch hockey league, the Rabohoofdklasse.Utrecht is also home to the baseball and Sofball club: UVV which plays in the highest Dutch baseball league: de Hoofdklasse. Utrecht's waterways are used by several rowing clubs. Viking is a large club open to the general public, and the student clubs Orca and Triton compete in the Varsity each year.


John von Neumann (/vɒn ˈnɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn ˈjaːnoʃ ˈlɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American pure and applied mathematician, physicist, inventor, computer scientist, and polymath. He made major contributions to a number of fields, including mathematics (foundations of mathematics, functional analysis, ergodic theory, geometry, topology, and numerical analysis), physics (quantum mechanics, hydrodynamics, fluid dynamics and quantum statistical mechanics), economics (game theory), computing (Von Neumann architecture, linear programming, self-replicating machines, stochastic computing), and statistics.


What was John von Neumann's major contribution to economics?


What computing structure is named after John von Neumann?


What was the birth date of John Von Neumann?


What were the occupations that Von Neuman held?


What were Von Neuman's contributions to the field of computing?


How many papers did Von Neumann publish?

He was a pioneer of the application of operator theory to quantum mechanics, in the development of functional analysis, a principal member of the Manhattan Project and the Institute for Advanced Study in Princeton (as one of the few originally appointed), and a key figure in the development of game theory and the concepts of cellular automata, the universal constructor and the digital computer. He published 150 papers in his life; 60 in pure mathematics, 20 in physics, and 60 in applied mathematics. His last work, an unfinished manuscript written while in the hospital, was later published in book form as The Computer and the Brain.


What is the name of Von Neumann's last work?


What high profile controversial project was Von Neumann a prinipal of?


Of his published works, what topics were they covering?


Von Neumann's study of what preceded the discovery of DNA?

Von Neumann's mathematical analysis of the structure of self-replication preceded the discovery of the structure of DNA. In a short list of facts about his life he submitted to the National Academy of Sciences, he stated "The part of my work I consider most essential is that on quantum mechanics, which developed in Göttingen in 1926, and subsequently in Berlin in 1927–1929. Also, my work on various forms of operator theory, Berlin 1930 and Princeton 1935–1939; on the ergodic theorem, Princeton, 1931–1932."


What part of his work did Von Neumann consider to be his most important?


What work did Von Nemann do in Berlin in 1930 and Princeton 1935 - 39?


What was the topic of Von Neumann's work at Princeton in 1931 - 32?


With whom did Von Neumann work on the Manhattan Project?

During World War II he worked on the Manhattan Project with J. Robert Oppenheimer and Edward Teller, developing the mathematical models behind the explosive lenses used in the implosion-type nuclear weapon. After the war, he served on the General Advisory Committee of the United States Atomic Energy Commission, and later as one of its commissioners. He was a consultant to a number of organizations, including the United States Air Force, the Armed Forces Special Weapons Project, and the Lawrence Livermore National Laboratory. Along with theoretical physicist Edward Teller, mathematician Stanislaw Ulam, and others, he worked out key steps in the nuclear physics involved in thermonuclear reactions and the hydrogen bomb.


Post World War II, in what role did Von Neumann work?


For what organizations was Von Neumann a consultant after World War II?


What keys steps did Von Neumann work out that contributed to weapons of war?


Von Neumann was born Neumann János Lajos (in Hungarian the family name comes first), Hebrew name Yonah, in Budapest, Kingdom of Hungary, which was then part of the Austro-Hungarian Empire, to wealthy Jewish parents of the Haskalah. He was the eldest of three children. He had two younger brothers: Michael, born in 1907, and Nicholas, who was born in 1911. His father, Neumann Miksa (Max Neumann) was a banker, who held a doctorate in law. He had moved to Budapest from Pécs at the end of the 1880s. Miksa's father and grandfather were both born in Ond (now part of the town of Szerencs), Zemplén County, northern Hungary. John's mother was Kann Margit (Margaret Kann); her parents were Jakab Kann and Katalin Meisels. Three generations of the Kann family lived in spacious apartments above the Kann-Heller offices in Budapest; von Neumann's family occupied an 18-room apartment on the top floor.


What occupation did Von Neumann father hold?


When did Von Neuman's father move from Pecs to Budapest?


In what year was Von Neumann's father elevated to nobility?

In 1913, his father was elevated to the nobility for his service to the Austro-Hungarian Empire by Emperor Franz Joseph. The Neumann family thus acquired the hereditary appellation Margittai, meaning of Marghita. The family had no connection with the town; the appellation was chosen in reference to Margaret, as was those chosen coat of arms depicting three marguerites. Neumann János became Margittai Neumann János (John Neumann of Marghita), which he later changed to the German Johann von Neumann.


What Emperor elevated Von Neumann's father to nobility?


What town did Von Neumann's family become associated when elevated to nobility?


What was Von Neumann's given name as member of Austro-Hungarian nobility?


At what age did schooling begin in Hungary?

Formal schooling did not start in Hungary until the age of ten. Instead, governesses taught von Neumann, his brothers and his cousins. Max believed that knowledge of languages other than Hungarian was essential, so the children were tutored in English, French, German and Italian. By the age of 8, von Neumann was familiar with differential and integral calculus, but he was particularly interested in history, reading his way through Wilhelm Oncken's Allgemeine Geschichte in Einzeldarstellungen. A copy was contained in a private library Max purchased. One of the rooms in the apartment was converted into a library and reading room, with bookshelves from ceiling to floor.


Who taught children before they began school in Hungary?


What languages were Von Neumann and his siblings taught?


At what age was Von Neumann familiar with calculus?


Von Neumann entered the Lutheran Fasori Evangelikus Gimnázium in 1911. This was one of the best schools in Budapest, part of a brilliant education system designed for the elite. Under the Hungarian system, children received all their education at the one gymnasium. Despite being run by the Lutheran Church, the majority of its pupils were Jewish. The school system produced a generation noted for intellectual achievement, that included Theodore von Kármán (b. 1881), George de Hevesy (b. 1885), Leó Szilárd (b. 1898), Eugene Wigner (b. 1902), Edward Teller (b. 1908), and Paul Erdős (b. 1913). Collectively, they were sometimes known as Martians. Wigner was a year ahead of von Neumann at the Lutheran School. When asked why the Hungary of his generation had produced so many geniuses, Wigner, who won the Nobel Prize in Physics in 1963, replied that von Neumann was the only genius.


In what room did children get education in Hungary?


What collective name was given to the generation of scholars produced by the Hungarian school system?


In what year did Wigner win Nobel Prize?


At what age did Von Neumann begin to study advance calculus?

Although Max insisted von Neumann attend school at the grade level appropriate to his age, he agreed to hire private tutors to give him advanced instruction in those areas in which he had displayed an aptitude. At the age of 15, he began to study advanced calculus under the renowned analyst Gábor Szegő. On their first meeting, Szegő was so astounded with the boy's mathematical talent that he was brought to tears. Some of von Neumann's instant solutions to the problems in calculus posed by Szegő, sketched out on his father's stationery, are still on display at the von Neumann archive in Budapest. By the age of 19, von Neumann had published two major mathematical papers, the second of which gave the modern definition of ordinal numbers, which superseded Georg Cantor's definition. At the conclusion of his education at the gymnasium, von Neumann sat for and won the Eötvös Prize, a national prize for mathematics.


Who did Von Neumann begin his studies of advanced calculus under?


By 19 how many papers had Von Neumann published?


Von Neumann's modern definition of ordinal numbers superseded whose definition?


What prize did Von Neuman win at the conclusion of his gymansium formal education?


What career path was decided upon for Von Neuman?

Since there were few posts in Hungary for mathematicians, and those were not well-paid, his father wanted von Neumann to follow him into industry and therefore invest his time in a more financially useful endeavor than mathematics. So it was decided that the best career path was to become a chemical engineer. This was not something that von Neumann had much knowledge of, so it was arranged for him to take a two-year non-degree course in chemistry at the University of Berlin, after which he sat the entrance exam to the prestigious ETH Zurich, which he passed in September 1923. At the same time, von Neumann also entered Pázmány Péter University in Budapest, as a Ph.D. candidate in mathematics. For his thesis, he chose to produce an axiomatization of Cantor's set theory. He passed his final examinations for his Ph.D. soon after graduating from ETH Zurich in 1926. He then went to the University of Göttingen on a grant from the Rockefeller Foundation to study mathematics under David Hilbert.


At what university was it arranged for Von Neumann to enter a chemistry program?


Where did Von Neumann study as a PHD candidate?


What was the topic of Von Neuman's thesis?


Where did Von Neumann begin to lecture in 1928?

Von Neumann's habilitation was completed on December 13, 1927, and he started his lectures as a privatdozent at the University of Berlin in 1928. By the end of 1927, von Neumann had published twelve major papers in mathematics, and by the end of 1929, thirty-two papers, at a rate of nearly one major paper per month. His reputed powers of speedy, massive memorization and recall allowed him to recite volumes of information, and even entire directories, with ease. In 1929, he briefly became a privatdozent at the University of Hamburg, where the prospects of becoming a tenured professor were better, but in October of that year a better offer presented itself when he was invited to Princeton University in Princeton, New Jersey.


By the end of 1927 how many papers had Von Neuman written?


How many papers had Von Neumann written by 1929?


What better offer came for Von Neumann in 1930?


On New Year's Day in 1930, von Neumann married Mariette Kövesi, who had studied economics at the Budapest University. Before his marriage he was baptized a Catholic. Max had died in 1929. None of the family had converted to Christianity while he was alive, but afterwards they all did. They had one child, a daughter, Marina, who is now a distinguished professor of business administration and public policy at the University of Michigan. The couple divorced in 1937. In October 1938, von Neumann married Klara Dan, whom he had met during his last trips back to Budapest prior to the outbreak of World War II.


Before marriage what faith did Von Neumann join?


When did Von Neumann get married for a second time?


In what year was Von Neumann offered a lifetime professorship?

In 1933, von Neumann was offered a lifetime professorship on the faculty of the Institute for Advanced Study when the institute's plan to appoint Hermann Weyl fell through. He remained a mathematics professor there until his death, although he announced that shortly before his intention to resign and become a professor at large at the University of California. His mother, brothers and in-laws followed John to the United States in 1939. Von Neumann anglicized his first name to John, keeping the German-aristocratic surname of von Neumann. His brothers changed theirs to "Neumann" and "Vonneumann". Von Neumann became a naturalized citizen of the United States in 1937, and immediately tried to become a lieutenant in the United States Army's Officers Reserve Corps. He passed the exams easily, but was ultimately rejected because of his age. His prewar analysis is often quoted. Asked about how France would stand up to Germany he said "Oh, France won't matter."


In what year did Von Neumann's mother and siblings join him in U.S?


In what year did Von Neumann become a naturalized citizen of US?


Why was Neuman rejected from joining US Army?


What type of "off color" humor did Von Neumann especially enjoy?

Von Neumann liked to eat and drink; his wife, Klara, said that he could count everything except calories. He enjoyed Yiddish and "off-color" humor (especially limericks). He was a non-smoker. At Princeton he received complaints for regularly playing extremely loud German march music on his gramophone, which distracted those in neighbouring offices, including Albert Einstein, from their work. Von Neumann did some of his best work blazingly fast in noisy, chaotic environments, and once admonished his wife for preparing a quiet study for him to work in. He never used it, preferring the couple's living room with its television playing loudly.


What complaints did Von Neumann's neighbor's have?


What famous neighbor did Von Neumann have that may have been distracted by the music Von Neumann played?


What mathematician was Von Nemann's closest friend?

Von Neumann's closest friend in the United States was mathematician Stanislaw Ulam. A later friend of Ulam's, Gian-Carlo Rota writes: "They would spend hours on end gossiping and giggling, swapping Jewish jokes, and drifting in and out of mathematical talk." When von Neumann was dying in hospital, every time Ulam would visit he would come prepared with a new collection of jokes to cheer up his friend. He believed that much of his mathematical thought occurred intuitively, and he would often go to sleep with a problem unsolved, and know the answer immediately upon waking up.


What topics of conversation would Ulam and Von Neumann typically share?


What would Ulam use to cheer up Von Neumann in the hospital?


What caused a setback in naive set theory at the beginning of 20th century?

The axiomatization of mathematics, on the model of Euclid's Elements, had reached new levels of rigour and breadth at the end of the 19th century, particularly in arithmetic, thanks to the axiom schema of Richard Dedekind and Charles Sanders Peirce, and geometry, thanks to David Hilbert. At the beginning of the 20th century, efforts to base mathematics on naive set theory suffered a setback due to Russell's paradox (on the set of all sets that do not belong to themselves). The problem of an adequate axiomatization of set theory was resolved implicitly about twenty years later by Ernst Zermelo and Abraham Fraenkel. Zermelo–Fraenkel set theory provided a series of principles that allowed for the construction of the sets used in the everyday practice of mathematics. But they did not explicitly exclude the possibility of the existence of a set that belongs to itself. In his doctoral thesis of 1925, von Neumann demonstrated two techniques to exclude such sets—the axiom of foundation and the notion of class.


Who resolved the problem of adequate axiomatization of set theory?


What 2 techniques did Von Neumann use to exclude sets in his doctoral thesis in 1925?


What is the method to demonstrate that no contradictions were created by the addition of axiom of foundation?

The axiom of foundation established that every set can be constructed from the bottom up in an ordered succession of steps by way of the principles of Zermelo and Fraenkel, in such a manner that if one set belongs to another then the first must necessarily come before the second in the succession, hence excluding the possibility of a set belonging to itself. To demonstrate that the addition of this new axiom to the others did not produce contradictions, von Neumann introduced a method of demonstration, called the method of inner models, which later became an essential instrument in set theory.


Zermelo and Fraenkel's axiom of foundation established that every set be constructed how?


What excluded a set from belonging to itself in set theory?


The second approach to the problem took as its base the notion of class, and defines a set as a class which belongs to other classes, while a proper class is defined as a class which does not belong to other classes. Under the Zermelo–Fraenkel approach, the axioms impede the construction of a set of all sets which do not belong to themselves. In contrast, under the von Neumann approach, the class of all sets which do not belong to themselves can be constructed, but it is a proper class and not a set.


Under what approach does an axiom impede a set of all sets which do not belong to themselves?


Under Von Neumann's approach can a class of all sets that do not belong to themselves be constructed?


In 1930 who gave a strongly negative answer to Von Neuman's approach to the axiomatic system of theory of sets?

With this contribution of von Neumann, the axiomatic system of the theory of sets became fully satisfactory, and the next question was whether or not it was also definitive, and not subject to improvement. A strongly negative answer arrived in September 1930 at the historic mathematical Congress of Königsberg, in which Kurt Gödel announced his first theorem of incompleteness: the usual axiomatic systems are incomplete, in the sense that they cannot prove every truth which is expressible in their language. This result was sufficiently innovative as to confound the majority of mathematicians of the time.


What was the central theme of Godel's announcement that the axiomatic system was not complete?


Where was Godel's statement about axiomatic system made in 1930?


How long did it take von Neumann to figure a response to theory of incompleteness?

But von Neumann, who had participated at the Congress, confirmed his fame as an instantaneous thinker, and in less than a month was able to communicate to Gödel himself an interesting consequence of his theorem: namely that the usual axiomatic systems are unable to demonstrate their own consistency. However, Gödel had already discovered this consequence, now known as his second incompleteness theorem and sent von Neumann a preprint of his article containing both incompleteness theorems. Von Neumann acknowledged Gödel's priority in his next letter. He never thought much of "the American system of claiming personal priority for everything."


What was the consequence of the theory of incompleteness?


Upon revising the theory of incompleteness, what was the name of the new Godel theory?


Von Neumann founded the field of continuous geometry. It followed his path-breaking work on rings of operators. In mathematics, continuous geometry is an analogue of complex projective geometry, where instead of the dimension of a subspace being in a discrete set 0, 1, ..., n, it can be an element of the unit interval [0,1]. Von Neumann was motivated by his discovery of von Neumann algebras with a dimension function taking a continuous range of dimensions, and the first example of a continuous geometry other than projective space was the projections of the hyperfinite type II factor.


What is the distinction of continuous geometry?


What was the first example of continuous geometry?


In what way did von Neumann make spectacular contributions to measure theory?

In a series of famous papers, von Neumann made spectacular contributions to measure theory. The work of Banach had implied that the problem of measure has a positive solution if n = 1 or n = 2 and a negative solution in all other cases. Von Neumann's work argued that the "problem is essentially group-theoretic in character, and that, in particular, for the solvability of the problem of measure the ordinary algebraic concept of solvability of a group is relevant. Thus, according to von Neumann, it is the change of group that makes a difference, not the change of space."


What concept was relevant to the solvability of the problem of measure?


According to von Neumann what is the most important part of the problem of measure?


What is often considered more important than the results of von Neumann's papers?

In a number of von Neumann's papers, the methods of argument he employed are considered even more significant than the results. In anticipation of his later study of dimension theory in algebras of operators, von Neumann used results on equivalence by finite decomposition, and reformulated the problem of measure in terms of functions. In his 1936 paper on analytic measure theory, he used the Haar theorem in the solution of Hilbert's fifth problem in the case of compact groups. In 1938, he was awarded the Bôcher Memorial Prize for his work in analysis.


What did von Neumann use the Haar theorem to solve in a 1936 paper?


Von Neumann introduced the study of rings of operators, through the von Neumann algebras. A von Neumann algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. The von Neumann bicommutant theorem shows that the analytic definition is equivalent to a purely algebraic definition as an algebra of symmetries. The direct integral was introduced in 1949 by John von Neumann. One of von Neumann's analyses was to reduce the classification of von Neumann algebras on separable Hilbert spaces to the classification of factors.


What does the von Neumann bicommutant theorem show?


When was direct integral introduced by von Neumann?


What was introduced in von Neumann algebras?


What did von Neumann work on in 1937 - 39?

Von Neumann worked on lattice theory between 1937 and 1939. Von Neumann provided an abstract exploration of dimension in completed complemented modular topological lattices: "Dimension is determined, up to a positive linear transformation, by the following two properties. It is conserved by perspective mappings ("perspectivities") and ordered by inclusion. The deepest part of the proof concerns the equivalence of perspectivity with "projectivity by decomposition"—of which a corollary is the transitivity of perspectivity." Garrett Birkhoff writes: "John von Neumann's brilliant mind blazed over lattice theory like a meteor".


What properties determine dimension in lattice theory?


Who wrote that "John von Neumann's brilliant mind blazed over lattice theory like a meteor?"


What type of axioms were used by von Neumann in his lattice work?

Additionally, "[I]n the general case, von Neumann proved the following basic representation theorem. Any complemented modular lattice L having a "basis" of n≥4 pairwise perspective elements, is isomorphic with the lattice ℛ(R) of all principal right-ideals of a suitable regular ring R. This conclusion is the culmination of 140 pages of brilliant and incisive algebra involving entirely novel axioms. Anyone wishing to get an unforgettable impression of the razor edge of von Neumann's mind, need merely try to pursue this chain of exact reasoning for himself—realizing that often five pages of it were written down before breakfast, seated at a living room writing-table in a bathrobe."


How long was von Neumann's lattice theory paper?


In what room did von Neumann often write at home?


Who established the framework for quantum mechanics?

Von Neumann was the first to establish a rigorous mathematical framework for quantum mechanics, known as the Dirac–von Neumann axioms, with his 1932 work Mathematical Foundations of Quantum Mechanics. After having completed the axiomatization of set theory, he began to confront the axiomatization of quantum mechanics. He realized, in 1926, that a state of a quantum system could be represented by a point in a (complex) Hilbert space that, in general, could be infinite-dimensional even for a single particle. In this formalism of quantum mechanics, observable quantities such as position or momentum are represented as linear operators acting on the Hilbert space associated with the quantum system.


What paper did von Neumann produce in 1932?


What von Neumann work preceded the axiomatiztion of quatum mechanics?


What are the physics of quantum mechanics?

The physics of quantum mechanics was thereby reduced to the mathematics of Hilbert spaces and linear operators acting on them. For example, the uncertainty principle, according to which the determination of the position of a particle prevents the determination of its momentum and vice versa, is translated into the non-commutativity of the two corresponding operators. This new mathematical formulation included as special cases the formulations of both Heisenberg and Schrödinger. When Heisenberg was informed von Neumann had clarified the difference between an unbounded operator that was a Self-adjoint operator and one that was merely symmetric, Heisenberg replied "Eh? What is the difference?"


The physics of quantum mechanics included special cases for what work?


Von Neumann's abstract treatment allowed him to work on what foundational issue?

Von Neumann's abstract treatment permitted him also to confront the foundational issue of determinism versus non-determinism, and in the book he presented a proof that the statistical results of quantum mechanics could not possibly be averages of an underlying set of determined "hidden variables," as in classical statistical mechanics. In 1966, John S. Bell published a paper arguing that the proof contained a conceptual error and was therefore invalid. However, in 2010, Jeffrey Bub argued that Bell had misconstrued von Neumann's proof, and pointed out that the proof, though not valid for all hidden variable theories, does rule out a well-defined and important subset. Bub also suggests that von Neumann was aware of this limitation, and that von Neumann did not claim that his proof completely ruled out hidden variable theories.


Did von Neumann rule hidden variable theories?


What results came from von Neumann's deep analysis of the measurement problem?

In a chapter of The Mathematical Foundations of Quantum Mechanics, von Neumann deeply analyzed the so-called measurement problem. He concluded that the entire physical universe could be made subject to the universal wave function. Since something "outside the calculation" was needed to collapse the wave function, von Neumann concluded that the collapse was caused by the consciousness of the experimenter (although this view was accepted by Eugene Wigner, the Von Neumann–Wigner interpretation never gained acceptance amongst the majority of physicists).


What "outside of calculation" variable could initiate collapse in von Neumann's conclusion?


Were von Neumann's conclusions of collapse of entire universe cause accepted widely?


With whom did von Neuman work on a paper in 1936 that introduce quantum logic?

In a famous paper of 1936 with Garrett Birkhoff, the first work ever to introduce quantum logics, von Neumann and Birkhoff first proved that quantum mechanics requires a propositional calculus substantially different from all classical logics and rigorously isolated a new algebraic structure for quantum logics. The concept of creating a propositional calculus for quantum logic was first outlined in a short section in von Neumann's 1932 work, but in 1936, the need for the new propositional calculus was demonstrated through several proofs. For example, photons cannot pass through two successive filters that are polarized perpendicularly (e.g., one horizontally and the other vertically), and therefore, a fortiori, it cannot pass if a third filter polarized diagonally is added to the other two, either before or after them in the succession, but if the third filter is added in between the other two, the photons will, indeed, pass through. This experimental fact is translatable into logic as the non-commutativity of conjunction . It was also demonstrated that the laws of distribution of classical logic, and , are not valid for quantum theory.


What concept was created for quatum logic?


What is the difference of logic in quantum theory?


Von Neumann founded the field of game theory as a mathematical discipline. Von Neumann proved his minimax theorem in 1928. This theorem establishes that in zero-sum games with perfect information (i.e. in which players know at each time all moves that have taken place so far), there exists a pair of strategies for both players that allows each to minimize his maximum losses, hence the name minimax. When examining every possible strategy, a player must consider all the possible responses of his adversary. The player then plays out the strategy that will result in the minimization of his maximum loss.


What discipline is game theory derived from?


what are the possible strategies in minimax theory?


What must a player consider when determining every possible strategy?


What is the difference of quantum disjunction from classic?

The reason for this is that a quantum disjunction, unlike the case for classical disjunction, can be true even when both of the disjuncts are false and this is, in turn, attributable to the fact that it is frequently the case, in quantum mechanics, that a pair of alternatives are semantically determinate, while each of its members are necessarily indeterminate. This latter property can be illustrated by a simple example. Suppose we are dealing with particles (such as electrons) of semi-integral spin (angular momentum) for which there are only two possible values: positive or negative. Then, a principle of indetermination establishes that the spin, relative to two different directions (e.g., x and y) results in a pair of incompatible quantities. Suppose that the state ɸ of a certain electron verifies the proposition "the spin of the electron in the x direction is positive." By the principle of indeterminacy, the value of the spin in the direction y will be completely indeterminate for ɸ. Hence, ɸ can verify neither the proposition "the spin in the direction of y is positive" nor the proposition "the spin in the direction of y is negative." Nevertheless, the disjunction of the propositions "the spin in the direction of y is positive or the spin in the direction of y is negative" must be true for ɸ. In the case of distribution, it is therefore possible to have a situation in which , while .


What is frequently the case in quantum mechanics when a pair of alternatives are semantically determinate?


How can quantum disjuction be illustrated?


Such strategies, which minimize the maximum loss for each player, are called optimal. Von Neumann showed that their minimaxes are equal (in absolute value) and contrary (in sign). Von Neumann improved and extended the minimax theorem to include games involving imperfect information and games with more than two players, publishing this result in his 1944 Theory of Games and Economic Behavior (written with Oskar Morgenstern). Morgenstern wrote a paper on game theory and thought he would show it to von Neumann because of his interest in the subject. He read it and said to Morgenstern that he should put more in it. This was repeated a couple of times, and then von Neumann became a coauthor and the paper became 100 pages long. Then it became a book. The public interest in this work was such that The New York Times ran a front-page story. In this book, von Neumann declared that economic theory needed to use functional analytic methods, especially convex sets and topological fixed-point theorem, rather than the traditional differential calculus, because the maximum-operator did not preserve differentiable functions.


What von Neumann work was published in 1944?


Who was co-author with von Neman on the Theory of Games and Economic Behavior?


How did von Neumann raise the level of economics?

Von Neumann raised the intellectual and mathematical level of economics in several stunning publications. For his model of an expanding economy, von Neumann proved the existence and uniqueness of an equilibrium using his generalization of the Brouwer fixed-point theorem. Von Neumann's model of an expanding economy considered the matrix pencil A − λB with nonnegative matrices A and B; von Neumann sought probability vectors p and q and a positive number λ that would solve the complementarity equation


What did von Neumann prove with his model of expanding economy?


What did von Neumann consider for his model of expanding economy?