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> There could be another universe where circles are impossible due to whatever laws of physics exist, thus no pi. Circles (perfect ones) are impossible in our
by hackerlight 4y ago
> There could be another universe where circles are impossible due to whatever laws of physics exist, thus no pi.
Circles (perfect ones) are impossible in our universe, too. Circles are abstractions. If we have successfully deduced a conclusion from a set of axioms, wouldn't that deduction hold true in all possible universes?
The mathematical realist position is that these abstract math objects exist independent of an observer.
- anthk 4y agoThis. Circles are just the set of all the infinite points from any point covering any degree around you having the same distance. That's why Pi it's infinite on decimals. Ditto with sqrt(2), you need to "sharpen" the triangle made from half an square forever in order to get all the decimals.