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I think it's mostly a distinction between abstract and practical concepts. You might say that the infinite set of real numbers between 0 and 1 is as big as the
by ASalazarMX 5y ago
I think it's mostly a distinction between abstract and practical concepts. You might say that the infinite set of real numbers between 0 and 1 is as big as the infinite set of positive integers, but that's just true in an abstract sense. In the practical sense, for example, there are not infinite frequencies between 0 and 1 Hertz because they're subject to physical limits.
- anikan_vader 5y ago> You might say that the infinite set of real numbers between 0 and 1 is ad big as [N] No, I would say that it is much bigger, since [0, 1] is uncountable. > there are not infinite frequencies between 0 and 1. Personally I think time is continuous. It sounds like you believe it is discrete. But such a debate is entirely irrelevant to the set theory.
- ASalazarMX 5y agoAnd that is another example of the abstract vs pragmatic visions: it hasn't been proved that time is (or isn't) quantized, so we're left with out own opinions. Seeing that time needs things happening, and things are made of matter, which is quantized, I'm inclined to think time is quantized too.