Why was Cantor so vehemently opposed to infinitesimals? In his valuable essay, "The Metaphysics of the Calculus," Abraham Robinson suggests that Cantor already had enough problems trying to defend transfinite numbers. It seems likely that, consciously or otherwise, Cantor deemed it politically wise to go along with orthodox mathematicians on the question of infinitesimals. Cantor's stance might be compared to that of a pro-marijuana Congressional candidate who advocates harsh penalties for the sale or use of heroin.
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Rudy Rucker, in Infinity and the Mind (2005), p. 80Georg Cantor
After being relegated to an obscure mid-tier university, blocked from leading journals and openly mocked by his peers, including his former mentor, the late 19th century German mathematician found refuge for his groundbreaking work on infinities in, of all places, the Roman Catholic Church... Catholic theologians welcomed Cantor's ideas, which provided a workable way of understanding mathematical infinities, as evidence that humans could grasp the infinite and could also, therefore, have a greater understanding of God, himself infinite.
What a welcome relief this must have been to the chronically depressed Cantor! As John D. Barrow writes in The Infinite Book: A Short Guide to the Boundless, Timeless and Endless, Cantor "started to tell his friends that he had not been the inventor of the ideas about infinity that he had published. He was merely a mouthpiece, inspired by God to communicate parts of the mind of God to everyone else."Georg Cantor
No one shall expel us from the Paradise that Cantor has created.
Georg Cantor
Aus dem Paradies, das Cantor uns geschaffen, soll uns niemand vertreiben können.
David Hilbert
Thus far, gentlemen, I have been insisting very strenuously upon what the most vulgar common sense has every disposition to assent to and only ingenious philosophers have been able to deceive themselves about. But now I come to a category which only a more refined form of common sense is prepared willingly to allow, the category which of the three is the chief burden of Hegel's song, a category toward which the studies of the new logico-mathematicians, Georg Cantor and the like, are steadily pointing, but to which no modern writer of any stripe, unless it be some obscure student like myself, has ever done anything approaching to justice.
Charles Sanders Peirce
MacUser: Which person do you most admire?
Jef Raskin: For what attribute? Once again you ask a question that linearises a complex matter. I can name many. Let's start with people named George: George Cantor for moving infinity out of philosophy into mathematics, George Washington for showing how a leader should relinquish power, and George Bernard Shaw for his humanity... Or we can do it by subject and admire Aristotle, Isaac Newton and Albert Einstein for their pulling from nature comprehensible laws; or Euclid, Gauss and Gödel for their contributions to mathematics; or people who have influenced me very directly, in which case I'd mention my very admirable parents and the teacher who taught me to be intellectually independent, L R Genise; or how about Claude Shannon without whose work on information theory I would have been lost.Jef Raskin
Cantor, Georg
Capa, Robert
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