What makes a good axiom?
Listen now
Description
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.
More Episodes
Copernicus’s planetary models contain elements also found in the works of late medieval Islamic astronomers associated with the Maragha School, including the Tusi couple and Ibn al-Shatir’s models for the Moon and Mercury. On this basis many historians have concluded that Copernicus must have...
Published 11/29/23
Published 11/29/23
Einstein’s theory of special relativity defines time and space operationally, that is to say, in terms of the actions performed to measure them. This is analogous to the constructivist spirit of classical geometry.
Published 07/23/23
Links
Genres
Artwork or description wrong?
Request an update »
Updates may take a few minutes.
Do you host a podcast?
Track your ranks and reviews from Spotify, Apple Podcasts and more.
