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Eric Dietrich's avatar

Very nice Kant-antinomy piece. Some people actually read Kant only for the ethics.

Hard to imagine.

Inspired by your paper, I boldly advocate accepting that we live in an antinomic universe. Antinomies are everywhere and increasing rapidly --- sort like tribbles . . . if tribbles had fangs . . . and an injectable neurotoxin.

Two quick cases.

(1) The Quantum Physics notion of superposition. A particle may have, say, spin up and spin down. This is NOT a contradiction, say the physicists, since the two spins are in superposition, they are not occurring at the same time and place. But this is just Quantum physicist trepidation: A single particle can have 2 opposing spins at the same time and place. How? Shrug: The spins are antinomies — contradictory. This happens throughout physics.

(2) Consider the set of even numbers (E). It has the same cardinality as the set of natural numbers (N), aleph-null. Proof: E can be put into one-to-one correspondence with N. So, E and N are the same “size.” But clearly E is “smaller” than N: E lacks all the odd numbers but the odds are completely in attendance in N, along with everything else. So E is both smaller than and the same size as N. Mathematicians hate this, by and large. But some embrace it. And of course, math is crawling with antinomies.

We philosophers should embrace that we live in an Antinomic Universe. Contradiction is that rough beast, it’s hour come round at last . . . after logical empiricism and all similar big-tent philosophies since Parmenides have failed . . . slouching towards Athens to be born.

Or, to end on a more upbeat note: There is grandeur in this view of our universe with its contradictory powers breathed into all. And whilst this planet has gone cycling on according to the more-or-less fixed law of gravity, endless forms most beautiful and most wonderful have been and still are being . . . contradictory.

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David Valdman's avatar

such great writing! lax ethics rules and safe spaces for antinomies. a wishbone breaking at reason. a house divided must stand. and i especially appreciated the "erstwhile".

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