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Philip Koop's avatar

It is a fact of set theory that the number of infinities (i.e. set cardinalities) must be larger than any particular infinity. But whether anything physical is infinite, either in divisibility or extent, is an open question. Infinity, perhaps paradoxically, makes the mathematics we use to describe our world more tractable; but that does not in itself make it true.

Curiously, many ancient Greek mathematicians, if I am reading Jacob Klein correctly, thought the opposite: the physical world is infinitely divisible but numbers are not. What we think of as the number one, they thought of as a special category, the monad, a kind of numerical atom distinct from the other numbers (arithmos.)

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Shane's avatar

I feel like Borges’ Lottery of Babylon and Library of Babel are both good explorations of the sublime. The Library is definitely more on the mathematical side.

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