Opinionated History of Mathematics
Science: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?
view more
More Episodes
Rationalism versus empiricism
2021-09-18
2021-09-18
Why construct?
2021-01-20
2021-01-20
Created equal: Euclid’s Postulates 1-4
2020-12-10
2020-12-10
That which has no part: Euclid’s definitions
2020-11-03
2020-11-03
Why the Greeks?
2020-02-16
2020-02-16
Get this podcast on your
phone, FREE
