Why there is suppose and assumption in Mathematics when we need accuracy in maths?
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By saying that axioms are assumptions, you are assigning a meaning/value to the terms used in the axioms. That is, you are saying that the terms here are already well-defined and that we are making well-defined statements about them. The problem, if this was the case, is that those statements could be false or true.
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You are saying that the terms here are already well-defined and that we are making well-defined statements about them.
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