3 ms·
You can’t say you can’t chose an item from a set because you can’t describe the item. If it is sufficiently impossible to describe the number, how did it get i
by zaroth 4y ago
You can’t say you can’t chose an item from a set because you can’t describe the item.
If it is sufficiently impossible to describe the number, how did it get in the set.
Irrational numbers are not impossible to identify symbolically, so if you stuff them in a bag and ask me to pick one, I’ll just take sqrt(2) thanks.
- quchen 4y ago> You can’t say you can’t chose an item from a set because you can’t describe the item. Or rather: the whole point of the axiom is giving you such a description.
- vintermann 4y ago> If it is sufficiently impossible to describe the number, how did it get in the set. It got added along with infinitely many others! That's the thing, it's no problem dealing with "hairy" reals as long as you deal with infinitely many of them at a time. You can say, "all the numbers between zero and one", and the fact that it will include numbers whose decimal expansion can't be described by any rule shouldn't cause any trouble. But if I ask you, "show me one of these numbers whose decimal expansion can't be described by any rule", then by definition, you can't.
- hgsgm 4y agoHow did God create universe? Does your (non) answer imply that Universe doesn't exist?