Irrational numbers cannot be represented in the real physical world, I’ve been told. So my question is: if I have a one meter by one meter square of wood, which is a perfect square precisely to the atom, is its diagonal length not sqrt2?
And what does it even mean for a number to be representable in real world? I guess one could argue that you describing sqrt(2) ( ie. number that when squared equals 2) have already represented it. Btw, can you have a a piece of wood of length exacly 1m?
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