What makes a good axiom?
from Intellectual Mathematics Hosted by Intellectual Mathematics
How should axioms be justified? By appeal to intuition, or sensory perception? Or are axioms legitimated merely indirectly, by their logical consequences? Plato and Aristotle disagreed, and later Newton disagreed even more. Their philosophies can be seen as rival interpretations of Euclid’s Elements. Transcript What kinds of axioms do we want in our geometry? How … Continue reading What makes a good axiom?
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This episode is 35 minutes long.
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This episode was published on October 4, 2020.
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