Opinionated History of Mathematics

39 Episodes

1. Torricelli’s trumpet is not counterintuitive

   Published: 12/30/2024
2. Did Copernicus steal ideas from Islamic astronomers?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    Published: 3/29/2020