/sci/ - Science & Math

>>11074003
>why do most people think the action of choice is true
There are quite a few ways of thinking about it:
1 - You can eenie meenie uncountable amounts of things.
2 - It's common knowledge that even without choice, you can still choose based on some conditions, i.e. Russell's left boot analogy. So instead of thinking of randomly choosing, you can imagine that there are sufficiently many predicates to make such choices over. Intuitively speaking, there should be as many as predicates as there are sets. So if I have uncountable boots, I can try to get just the brown ones, just the black ones, the ones with a smudge exactly here, the ones that were either made by Kanye or are yellow, etc, and at least one of those is in the cartesian prouct.