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Did thinkers we now regard as mathematicians call themselves philosophers prior to the 19th century?

Your teacher is simply wrong. Most major fields of academia were regarded as a specialized area of interest for millennia, originating formally and most significantly in ancient Greece. Archimedes, ...
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Has there been debate between relationship of philosophy of mathematics and physics?

In very ancient times one could argue intuitionism was predominant. Physics was more of a tool for craftsmen, building, and navigation. In these senses it was less about discovery and more about ...
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