The introduction of the microprocessor, a single chip with all the circuitry that formerly occupied large cabinets, led to the proliferation of personal computers after 1975. Alan Turing spent most of the years 1937-38 at Princeton University, based in the world-leading research group in mathematical logic headed by Alonzo Church.
Princeton University had become a great intellectual centre, absorbing exiles from a Nazifying Europe, and great future developments in mathematics, science and economics were started there. The oral history project of the mathematics department marks the importance of this period. The work he did in 1937-8, his most difficult and most abstruse, charted new territory in trying to bring the uncomputable into some kind of order with 'systems of logics based on ordinals'.
We shall not go any further into the nature of this oracle apart from saying that it cannot be a machine.
The whole point of the 'oracle' is that it is a mathematical tool for the analysis of what cannot be done mechanically. Turing may have taken the word 'oracle' from Shaw's science-fiction play Back to Methuselah.
The most accessible introduction to the concept of infinite ordinals, on which Turing's work on 'ordinal logics' was based, is in Infinity and the Mind, by the mathematician Rudy Rucker.
In a curious twist, Rudy Rucker published a science-fantasy novel in 2012, called Turing and Burroughs.
Turing's work at Princeton also involved work on complex analysis and the Riemann zeta function.
The book The Music of the Primes,  by Marcus du Sautoy, also discusses the history of the Riemann Hypothesis (Hilbert's Eighth Problem) and what Turing achieved.
Turing's setting in Princeton in this period of the growing Nazi threat has inspired a passage in the novel Cryptonomicon  by the (science)-fiction writer Neal Stephenson. Turing's work on 'ordinal logics' was completed in 1938 and successfully submitted as a Ph.D.
Alan Turing did not like using the title, but when he next returned to America, in very different circumstances, he found it essential.
Alan Turing's mother was much amazed at the sprinking of international correspondence that now ensued.
But she did keep all his letters from America, and in 1960, when she understood much better how visionary his work had been, these formed the nucleus of the Archive in King's College, Cambridge.
When back at Cambridge, Turing designed a machine with moving cogwheels to sum a Fourier series for the Riemann zeta-function. This article by Bill Casselman in the Notices of the American Mathematical Society, 2006, gives a detailed account of the machine. At about the time of the Munich agreement he began helping the British government with the problem of deciphering German communications. John Casti has written an imaginary conversation, The Cambridge Quintet,  involving such a dialogue. While they were there the pact between Hitler and Stalin was signed and war became inevitable. The coming of war meant that Turing never again concentrated on mathematical logic, and he did not follow up the ideas he had in 1937-38. An article by me, The military use of Alan Turing,  explores Alan Turing's personal and moral position, as well as his intellectual work, at the time when he decided to give himself to the struggle against Nazi Germany. 2) Muhammad Rashid Rida (1865-1935) - From what is now Lebanon, wanted to rejuvenate the Ottoman caliphate. He made no statements opposing Islamic supremacism, but he is called a Reformera„? for denying the way things are like so many today. 3) Muhammad a€?Inayat Allah Khan (1888- 1963) - Born in Punjab, founded the Khaksar Movement, a Muslim separatist group. The astonishing similaritiesa€”or shall we say the unintentional similarity between two great mindsa€”between Hitlera€™s great book and the teachings of my Tazkirah and Isharat embolden me, because the fifteen years of a€?strugglea€? of the author of a€?My Strugglea€? [Mein Kampf] have now actually led his nation back to success. Mashriqi emphasized repeatedly in his pamphlets and published articles that the verity of Islam could be gauged by the rate of the earliest Muslim conquests in the glorious first decades after Muhammada€™s death - Mashriqia€™s estimate is a€?36,000 castles in 9 years, or 12 per daya€?. 4) Hajj Amin al-Husseini (~1896 - 1974) - Studied Islamic law briefly at Al-Azhar University in Cairo and at the Dar al-Da'wa wa-l-Irshad under Rashid Rida, who remained his mentor till Ridaa€™s death in 1935.2 3 Perhaps more a politician than a sharia scholar, he is on this page because of his authority and longtime influence as Grand Mufti of Jerusalem beginning in 1921.
5) Sheikh Muhammad Mahawif - was Grand Mufti of Egypt, in 1948 issued a fatwa declaring jihad in Palestine obligatory for all Muslims.
6) Sheikh Hasan Maa€™moun - Grand Mufti of Egypt in 1956 issued a fatwa, signed by the leading members of the Fatwa Committee of Al Azhar, and the major representatives of all four Sunni schools of jurisprudence. There are hundreds of other [Koranic] psalms and hadith urging Muslims to value war and to fight.
10) Sheik Muhammad Sayyid Tantawi (1928 - 2010) - Grand Sheik Al-Azhar University, Cairo 1996 - 2010. BBC said Tantawi a€?is acknowledged as the highest spiritual authority for nearly a billion Sunni Muslimsa€?. He devotes a chapter to the various ways Allah punished the Jews, among them changing their form. 1996 - 30 years later was appointed Grand Imam at Al-Azhar U., then met in Cairo with the Chief Rabbi of Israel.
President of many influential orgs, founder and president of the International Association of Muslim Scholars which issues many fatwas. During the Arab Springa„? in February 2011, after Mubarak's fall his return to Egypt for the 1st time since he was banned 30 years before drew the largest crowd since the uprising began - over 2 million.
He said he worked with and was influenced by Hasan al-Banna, founder of the Muslim Brotherhood, where he is a longtime spiritual advisor, and in 1976 and 2004 turned down offers to be the Brotherhooda€™s highest-ranking General Leader.
Report on Goma€™a: a€?A fatwa issued by Egypta€™s top religious authority, which forbids the display of statues has art-lovers fearing it could be used by Islamic extremists as an excuse to destroy Egypta€™s historical heritage. 15) Sheikh Gamal Qutb - The one-time Grand Sheik of Al-Azhar on K- 4:24, and sex with slave girls. 19) Sheikh 'Ali Abu Al-Hassan - Al-Azhar University Fatwa Committee Chairman on suicide bombing in 2003.

21) Sheikh Hassan Khalid (1921 - 1989) - Sunni jurist, elected Grand Mufti of Lebanon in 1966 where he presided over Islamic courts for 23 years. Tibi said, "First, both sides should acknowledge candidly that although they might use identical terms these mean different things to each of them. Muslims frequently claim that a€?Islam means peace.a€? The word Islam comes from the same three-letter Arabic root as the word a€?salaam,a€? peace.
23) Majid Khaduri (1909-2007) - Iraqi jurist, Ph.D International law University of Chicago in 1938, member of the Iraqi delegation to the founding of the United Nations in 1945.
25) Hatem al-Haj - Egyptian, leading American Muslim jurist, MD, PhD, fellow at the American Academy of Pediatrics, and the author of this revealing 2008 Assembly of Muslim Jurists of America paper, which says the duty of Muslims is not to respect the laws of the country where they live, but rather do everything in their power to make the laws of Allah supreme. Warraq says the main arguments of his book are few, since more than fifty percent of it is taken up by quotations from the Koran, from scholars like Ibn Taymiyya, from the Hadith, from Koranic commentators like Ibn Kathir, and from the four main Sunni schools of Law. Defensive Jihad: This is expelling the Kuffar from our land, and compulsory for all individuals. 28) Grand Ayatollah Ali Khamenei (1939 - ) - Shiite jurist, Supreme Leader of Iran, he was #2 in a 2009 book co authored by Esposito featuring the world's 500 most influential Muslims.
30) Sheikh Ahmed Kuftaro (1912-2004) - Grand Mufti of Syria, after the 2003 invasion of Iraq, yes to suicide attacks against Americans there. Grand Ayatollah Sistani (1930 -) - Shiite jurist and marja, the a€?highest authority for 17-20 million Iraqi Shia€™a, also as a moral and religious authority to Usuli Twelver Shia€™a worldwidea€?. 32) Saudi Sheikh Abdul Aziz al-Sheikh (1940- ) - Saudi Grand Mufti, the leading religious figure of Saudi-based Salafi Muslims. 33) Saudi Sheikh Saleh Al-Lehadan, Chief Justice of the Saudi Supreme Judiciary Council, and a member of Council of Senior Clerics, the highest religious body in the country, appointed by the King. 34) Saudi Sheikh Wajdi Hamza Al-Ghazawi - preacher started a popular new website "Al Minbar.
35) Saudi Sheik Muhammad al-Munajjid (1962 - ) - well-known Islamic scholar, lecturer, author, Wahhabi cleric. 36) Saudi Sheikh Abd al-Rahman al-Sudayyis - imam of Islam's most holy mosque, Al-Haram in Mecca, holds one of the most prestigious posts in Sunni Islam.
The Saudis boasted of having spent $74 billion a€?educatinga€? the West that Islam is a Peaceful Tolerant Religiona„?.
43) Mazen al-Sarsawi - popular Egyptian TV cleric comments in 2011 on what Muhammad said about IS&J.
46) Sheik Taj Din Al-Hilali - Sunni, Imam of the Lakemba Mosque, former Grand Mufti of Australia & New Zealand, Ia€™m not sure of his education but he is on this page because he was the highest religious authority there for almost 20 years. 47) Imam Anwar al-Awlaki - American imam, became a leading figure in Al Qaedaa€™s affiliate in Yemen. Abu Bakr Al-Baghdadi (1971- ) - First Caliph of the new Islamic State (ISIS, ISIL) created in 2014.
If youa€™ve been through this site then you dona€™t need Raymond Ibrahima€™s explanation why the a€?religious defamationa€? laws being called for internationally in 2012 would ban Islam itself and its core texts (One & Two) if they were applied with the same standard to all religions. If Islamic doctrines are inherently violent, why isna€™t every single Muslim in the world violent? 10) Sheik Muhammad Sayyid Tantawi (1928 - 2010) - Grand Sheik Al-Azhar University, Cairo 1996 - 2010.A  Grand Mufti of Egypt 1986 - 1996.
For computers generally referred to as PCs, see IBM Personal Computer and IBM PC compatible. The interview with Alonzo Church draws out rather little regarding Turing, whom Church calls 'a loner.' He was indeed, but Alan Turing had quite a good social life at the Graduate College, and also travelled between South Carolina and New England. It subtly represents the conflicts in Alan Turing's life after his discovery of computability. Since the 1950s it has become a standard idea ('relative computability') of mathematical logic. From now on, the finite, practical, human logic of the Enigma cipher machine came to dominate his life. See Wittgenstein's Lectures on the Foundations of Mathematics, Cambridge, 1939  for a transcript. The war exiled him from the opportunity to develop his advanced mathematical ideas, when he was at the height of his powers. We shook hands and Hitler said, pointing to a book that was lying on the table: a€?I had a chance to read your al-Tazkirah.a€? Little did I understand at that time, what should have been clear to me when he said these words! But only after leading his nation to the intended goal, has he disclosed his movementa€™s rules and obligations to the world; only after fifteen years has he made the means of success widely known.
In 1922 he became President of the Supreme Muslim Council where he had the power to appoint personally loyal preachers in all of Palestinea€™s mosques, making him indisputably the most powerful Muslim leader in the country.2 Exiled, eventually to Germany from 1937 - 1945 where he was Hitlera€™s close associate. He founded the political party Hizb ut-Tahrir in 1952 as an alternative to the MB, and remained its leader until he died in 1977. 90-91), Irana€™s Ayatollah Khomeini himself married a ten-year-old girl when he was twenty-eight.
English translation in Barry Rubin and Judith Colp Rubin, Anti-American Terrorism and the Middle East (Oxford: Oxford University Press, 2002), pp.
The 2 largest standing Buddha carvings in the world from the 6th century were blown up by the Taliban in 2001. Ahmad AlA­Tayyeb - Grand Sheik of Al-Azhar University, was President of Al Azhar for 7 years, was Grand Mufti of Egypt. Career spanned more than 65 years, joined SAIS faculty in 1949, then created the first graduate program in the U.S on the modern Middle East. Islamic Education, Darul Uloom, Karachi, now hadith and Islamic economics instructor, sat for 20 years on Pakistani Supreme Court, he is one of the most respected Deobandi scholars in the world who authored over 60 books, an expert in Islamic finance who was quietly terminated or resigned in 2008 from the Sharia Supervisory Board of the Iman Fund, formerly the Dow Jones Islamic Index Fund (sharia finance).
Al-Azhar University in The Principles of Islamic Jurisprudence, Shariah degree Damascus University, influenced by Sayyid Qutb and knew his family while in Egypt, lectured for years at Saudi Arabiaa€™s King Abdul Aziz University in Jeddah until 1979.
Although acquitted by an Egyptian court for complicity in the 1981 slaying of Egyptian president Anwar Sadat, he has bragged about issuing the fatwa that approved the killing. He meets frequently with Crown Prince Abdullah and other senior members of the ruling family.

But if the standard is how violent a reaction it provokes from the offended people, then only a€?defaminga€™ Islam will be banned.
Including all his references, they amount to a mountain of evidence that shows the consensus on IS&J in all 5 schools since the 7th century, especially in the absence of any book full of contrary opinions from authorities with the stature of the examples you have seen. If they had, it would be easy to demonstrate with the kind of evidence you see here, from whatever era that was.
He founded the political party Hizb ut-Tahrir in 1952 as an alternative to the MB, and remained its leader until he died in 1977.A  Its stated goal is jihad a€?in clearly defined stagesa€? against existing political regimes, and their replacement with a caliphate.
Copeland has rather absurdly claimed that Turing would have supported a project to 'construct' machines equipped with oracles, and holds out the prospect of 'the biggest revolution in computing since 1948.' See a comment on Copeland's picture of an oracle. Turing was a great fan of Bernard Shaw's plays, and had seen a production of Back to Methuselah at Cambridge in 1933. An article by the number theorist Dennis Hejhal explains the mathematics of the zeta function and links it to Alan Turing's life. She would hardly have guessed in 1938 that this family album snapshot of her son would grace the cover of a Japanese publication in 2012. McPhail, a Canadian engineering student then at King's College, Cambridge, and also brother of Malcolm McPhail whom Turing had known at Princeton. After the war he was wanted for crimes against humanity, but returned as a war hero to the Middle East, and remained Grand Mufti at least 10 years after WWII. Hizb reportedly now has secret cells in 40 countries, outlawed in Russia, Germany, Netherlands, Saudi Arabia and many others, but not in the USA where they hold an annual conference, and ita€™s still a legal political party in UK. Extremely influential Sunni jurist, sharia scholar based in Qatar, memorized the Koran by age ten. Chairman of the board of trustees atA Michigan-based Islamic American University, a subsidiary of the Muslim American Society, which was claimed by the Muslim Brotherhood as theirs in 1987. Goma€™a was #7 in the book co-authored by John Esposito featuring the world's 500 most influential Muslims, and he is widely hailed as a Moderatea„?. He was the program's director until his retirement in 1980 and University Distinguished Research Professor until his death at 98 years old. Deputy Chairman of the Jeddah based Islamic Fiqh Council of the OIC, and is a member of ECFR, whose President is Sheik Qaradawi. OBL was enrolled there from 76-81 where they probably first met; Azzam eventually became his mentor. In fact 3 times Pulitzer Prize winner and Middle East Experta„? Thomas Friedman wants to give a Nobel prize to him even though he is an Islamic supremacist. There is much more than those 2 books, here are reading lists with books full of more evidence from Muslim and non-Muslim accounts of institutionalized IS&J for over 1300 years. University Dogma takes for granted that a majority of jurists and ulama scholars, past and present, taught against IS&J, but no one says who and where these people are, and exactly what they said about relations between Muslims and non-Muslims. It was because Turing had also done new research in the theory of continuous groups, which was von Neumann's leading research area. He is remembered as the godfather of Palestinian terrorism nationalism - Professor Edward Said praised him as a€?the voice of the Palestinian people.a€? The History Channel made a film about him.
Former Hizb-ut-Tahrir member Ed Husain, in his 2007 book The Islamist, says: The difference between Hizb ut-Tahrir and jihadists, is tactics, not goals. Qaradawi was #6 in the book co authored by Esposito in 2009 featuring the world's 500 most influential Muslims.
Similarly, when Muslims and the Western heirs of the Enlightenment speak of tolerance they have different things in mind.
Internationally recognized as one of the world's leading authorities on Islamic law and jurisprudence, modern Arab and Iraqi history, and politics. Even though he is not a sharia scholar, he is on this page because that is mostly what his The Calcutta Qur'an Petition (1986) is - quotes of Koranic commentaries by famous sharia scholars, in an attempt to ban the Koran in India. If you have any examples, please send documentary evidence so I can add it to the Tiny Minority of Extremists page, coming up next.
In a piece of writing on Cambridge Scientific Minds, I have described more about the similarities and contrasts between Hardy and Turing in mathematics and life.
Stretching the definition a little, the line goes back to Euler, Johann Bernoulli, Jacob Bernoulli and Leibniz, who can be said to have started symbolic logic. They simply deny that it is a principle of Islam that jihad may include wars of aggression. Mashriqia€™s book Tazkirah (a commentary of the Quran) was nominated for the 1925 Nobel Prize in Literature. What is the good of us (the mullahs) asking for the hand of a thief to be severed or an adulteress to be stoned to death when all we can do is recommend such punishments, having no power to implement them? Because of his huge influence, and to understand the significance of his connections with Moderatea„? American Muslim leaders that you will see in the Muslim Brotherhood page, you must understand what believes. Fouad Ajami said "Professor Khadduri was one of the pioneers of Middle Eastern studies in the United States. In 1930 I sent him my Isharat concerning the Khaksar movement with a picture of a spade-bearer Khaksar at the end of that book.
According to prosecutors, the 1993 bombing of the World Trade Center (WTC), which killed six people, was part of the conspiracy. The intention of Mohammed, in what he said of jihad, may have been misunderstood and misrepresented. Islam says: Whatever good there it exists thanks to the sword and in the shadow of the sword!
Founded the Shaybani Society of International Law, and was a founder of the Middle East Institute, and the University of Libya, where he became dean in 1957. Until the newer conceptions, as to what the Koran teaches as to the duty of the believer towards non-believers, have spread further..

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