> I like mathematical objects that can be written down with a finite number of symbols in a finite space.
Which is fine, but I don't think it justifies the claim that there are only countably many real numbers. The only claim it justifies is that there are only a finite (not even countable, since "countable" implies infinitely many) set of numbers that you find useful.
Which is fine, but I don't think it justifies the claim that there are only countably many real numbers. The only claim it justifies is that there are only a finite (not even countable, since "countable" implies infinitely many) set of numbers that you find useful.