All the irrational numbers are actually uncomputable functions. You have to express them as algorithms that require infinitely many steps to run. As a result, nothing in the universe can be caused by an irrationally numbered value. Reality is all decorated integers.
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Well, that is another point :) I am not educated enough to propose something valuable, I am afraid. I was just into this particular conversation and my reasoning suggests that having floats only is a limitation, because maths, for example, are purely logical yet more abstract
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The argument is that classical mathematics pretends that a function and the value it returns are =, but Gödel/Turing show that this only works if the function terminates after finitely many steps, so classical math semantics have to be replaced by constructivism (computation).
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Not saying that maths are perfect to reflect the reality, just saying that computers imply pure logic and maths is pure logic, therefore extension the field of computations from just floats seems reasonable to me
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