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I'd say that's debatable. My admittedly limited understanding of mathematics is that the underlying truths that emerge depend on the axioms in play. My understa
by ZenoArrow 10y ago
I'd say that's debatable. My admittedly limited understanding of mathematics is that the underlying truths that emerge depend on the axioms in play. My understanding of axioms is that of 'rules' to the mathematical games we play, and you can change which rules you follow and get different results.
https://en.m.wikipedia.org/wiki/Axiom https://en.m.wikipedia.org/wiki/Axiom
https://en.m.wikipedia.org/wiki/List_of_axioms https://en.m.wikipedia.org/wiki/List_of_axioms
If we accept that in mathematics we're finding out about the outcomes of the rules we choose to follow, then I have no problem in thinking of mathematical discoveries as truths, but I'd say they are conditional truths rather than absolute truths. What are your thoughts on this?