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Cincinnatus
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#9
Dec5-05, 07:35 PM
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P: 395
It comes down to whether or not you think mathematical objects have existence independent of the axioms that specify them.
If you think mathematical objects are "real" things and our axioms only serve to describe them in a mathematically useful way, then you would answer that mathematics is discovered.
Whereas, if you think mathematical objects are "created" by the axioms that uniquely specify them then you would (probably) say mathematics is invented.