Dangerous Knowledge (chap 1of2) = Pt 1 of 5 – BBC
DANGEROUS KNOWLEDGE (chapter 1 or 2) – BBC: In this one-off documentary, David Malone looks at four brilliant mathematicians – Georg Cantor, Ludwig Boltzmann, Kurt Gödel and Alan Turing – whose genius has profoundly affected us, but which tragically drove them insane and eventually led to them all committing suicide. The film begins with Georg Cantor, the great mathematician whose work proved to be the foundation for much of the 20th-century mathematics. He believed he was God’s messenger and was eventually driven insane trying to prove his theories of infinity Georg Ferdinand Ludwig Philipp Cantor (1845-1918) was a mathematician, best known as the creator of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between sets, defined infinite and well-ordered sets, and proved that the real numbers are “more numerous” than the natural numbers. In fact, Cantor’s theorem implies the existence of an “infinity of infinities”. He defined the cardinal and ordinal numbers and their arithmetic. Cantor’s work is of great philosophical interest, a fact of which he was well aware. Philosophy, religion and Cantor’s mathematics. The concept of the existence of an actual infinity was an important shared concern within the realms of mathematics, philosophy and religion. Preserving the orthodoxy of the relationship between God and mathematics, although not in the same form as held by his critics, was long a concern …
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[...] This post was mentioned on Twitter by Debasish Ghosh, Alan Turing Year. Alan Turing Year said: DANGEROUS KNOWLEDGE: BBC- Cantor, Boltzmann, Gödel & Alan Turing – "whose genius has profoundly affected us" http://bit.ly/f9eoFN #Turing [...]
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