Opinionated History of Mathematics

38 Episodes

1. Did Copernicus steal ideas from Islamic astronomers?

   Published: 11/29/2023
2. Operational Einstein: constructivist principles of special relativity

   Published: 7/23/2023
3. Review of Netz’s New History of Greek Mathematics

   Published: 10/11/2022
4. The “universal grammar” of space: what geometry is innate?

   Published: 5/20/2022
5. “Repugnant to the nature of a straight line”: Non-Euclidean geometry

   Published: 2/20/2022
6. Rationalism 2.0: Kant’s philosophy of geometry

   Published: 11/17/2021
7. Rationalism versus empiricism

   Published: 9/18/2021
8. Cultural reception of geometry in early modern Europe

   Published: 7/10/2021
9. Maker’s knowledge: early modern philosophical interpretations of geometry

   Published: 5/10/2021
10. “Let it have been drawn”: the role of diagrams in geometry

    Published: 3/10/2021
11. Why construct?

    Published: 1/20/2021
12. Created equal: Euclid’s Postulates 1-4

    Published: 12/10/2020
13. That which has no part: Euclid’s definitions

    Published: 11/3/2020
14. What makes a good axiom?

    Published: 10/4/2020
15. Consequentia mirabilis: the dream of reduction to logic

    Published: 9/8/2020
16. Read Euclid backwards: history and purpose of Pythagorean Theorem

    Published: 7/30/2020
17. Singing Euclid: the oral character of Greek geometry

    Published: 6/21/2020
18. First proofs: Thales and the beginnings of geometry

    Published: 5/15/2020
19. Societal role of geometry in early civilisations

    Published: 3/29/2020
20. Why the Greeks?

    Published: 2/16/2020