“Mathematics, in the development of its ideas, has only to take account of the immanent reality of its concepts and has absolutely no obligation to examine their transient reality.”

— Georg Cantor

From Kant to Hilbert (1996)

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Georg Cantor 27

mathematician, inventor of set theory 1845–1918

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“It’s only science that cannot consider thought as a real event, and science is not reality. It’s a map of reality, and not a very good one. It’s good, it’s useful, but it has its limits.”

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Context: There are books that have devastated continents, destroyed thousands. What war hasn’t been a war of fiction? All the religious wars certainly, or the fiction of communism versus the fiction of capitalism – ideas, fictions, shit that people make. They have made a vast impression on the real world. It is the real world. Are thoughts not real? I believe it was Wittgenstein who said a thought is a real event in space and time. I don’t quite agree about the space and time bit, Ludwig, but certainly a real event. It’s only science that cannot consider thought as a real event, and science is not reality. It’s a map of reality, and not a very good one. It’s good, it’s useful, but it has its limits. We have to realise that the map has its edges. One thing that is past the edge is any personal experience. That is why magic is a broader map to me, it includes science. It’s the kind of map we need if we are to survive psychologically in the age that is to come, whatever that is. We need a bigger map because the old one is based on an old universe where not many of us live anymore. We have to understand what we are dealing with here because it is dangerous. It kills people. Art kills.