June 27, 2012

isomorphismes asked: re njwildberger on set theory agreeing with you. Hey, cool! I don't know if you've seen the NCatLab people / Chris Isham / others talk about "bring your own set theory" but that direction may interest you as well. What was the thing you've been saying for a couple years?

Something I’ve thought for a long time - Real numbers are imaginary, and imaginary numbers are real. To explain just a bit, imaginary numbers describe a physical state of something, so as much as a number can exist, these do. But since reality is discrete (to the extent that anything testable can be, given planck’s constant,) real numbers, specifically the infinitely precise ones, do not ever describe reality, so they are imaginary.

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