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Do we draw a distinction between a number as an element of the reals, and an element of the naturals?
I see in some explanations of attempts to formalize numbers such as Von Neumann's ordinals like in this rather philosophical question that we can draw a distinction between a real number '1' and a ...
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Contradiction of axioms of real numbers
I am just starting out in real analysis, so please bare with me. My questions concerns three specific properties of the real numbers, at least as far as i understand them. Those are:
The natural ...