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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 mo...
What makes a good axiom? is an episode from Opinionated History of Mathematics by Intellectual Mathematics. How should axioms be justified? By appeal to intuition, or sensory perception? Or are axioms legitimated merely indirectly, by their...
This episode belongs to Opinionated History of Mathematics.
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Published Oct 4, 2020, 35:21 long, audio available.
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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What makes a good axiom? is an episode from Opinionated History of Mathematics by Intellectual Mathematics.
This episode is 35:21 long.
This episode was published on Oct 4, 2020.
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What makes a good axiom? is from Opinionated History of Mathematics by Intellectual Mathematics.
Published Oct 4, 2020 and 35:21 long