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What makes a good axiom?

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Content provided by Intellectual Mathematics. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Intellectual Mathematics or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://player.fm/legal.
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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38 episodes

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Manage episode 273669619 series 2502411
Content provided by Intellectual Mathematics. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Intellectual Mathematics or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://player.fm/legal.
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?
  continue reading

38 episodes

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