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Podcast Profile: Opinionated History of Mathematics

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40 episodes
2018 to 2025
Median: 35 minutes
Collection: Physics, Math, and Astronomy


Description (podcaster-provided):

Cracking tales of historical mathematics and its interplay with science, philosophy, and culture. Revisionist history galore. Contrarian takes on received wisdom. Implications for teaching. Informed by current scholarship. By Dr Viktor Blåsjö.


Themes and summary (AI-generated based on podcaster-provided show and episode descriptions):

➤ Historical mathematics analysis • Revisionist history • Influence of Greek and early modern geometry • The role of Euclid and Galileo • Interaction with science, philosophy, and culture • Controversial takes

This podcast, titled "Opinionated History of Mathematics," offers a distinct exploration of mathematical history interwoven with science, philosophy, and culture. Each episode delves into assorted intriguing subjects, often adopting a revisionist perspective that challenges traditional narratives in the field of mathematics. The episodes are informed by contemporary scholarship and frequently present contrarian viewpoints, questioning received wisdom and exploring their implications on the teaching of mathematics.

The content spans a broad range of historical and philosophical topics. Listeners can expect discussions on the life and work of key historical figures such as Archimedes, Copernicus, and Galileo, examining their contributions and controversies, and in some cases, disputing their reputed innovations. A recurring theme is the examination of geometry and its philosophical interpretations through history, from the roles of Euclidean and non-Euclidean geometries in shaping intellectual thought to Kant’s philosophy of geometry and its relation to Newtonian science.

The podcast also addresses the intrinsic connection between mathematics and broader cultural and scientific contexts, such as the societal roles of geometry in ancient civilizations and the impact of mathematical thinking on early modern European culture. Episodes probe the interplay between mathematics and philosophy, such as the dichotomy of rationalism and empiricism, and how these philosophical approaches influenced prominent scientific and mathematical figures.

Overall, this podcast ventures beyond the mere recounting of mathematical history. It artfully interlaces historical narratives with philosophical inquiry and critical analysis, offering listeners a comprehensive and sometimes contentious view of mathematics’ role through the ages.


Episodes:
Episode Image Death of Archimedes
2025-Jul-15
26 minutes
Episode Image Torricelli’s trumpet is not counterintuitive
2024-Dec-30
56 minutes
Episode Image Did Copernicus steal ideas from Islamic astronomers?
2023-Nov-29
87 minutes
Episode Image Operational Einstein: constructivist principles of special relativity
2023-Jul-23
76 minutes
Episode Image Review of Netz’s New History of Greek Mathematics
2022-Oct-11
52 minutes
Episode Image The “universal grammar” of space: what geometry is innate?
2022-May-20
32 minutes
Episode Image “Repugnant to the nature of a straight line”: Non-Euclidean geometry
2022-Feb-20
30 minutes
Episode Image Rationalism 2.0: Kant’s philosophy of geometry
2021-Nov-17
30 minutes
Episode Image Rationalism versus empiricism
2021-Sep-18
43 minutes
Episode Image Cultural reception of geometry in early modern Europe
2021-Jul-10
33 minutes
Episode Image Maker’s knowledge: early modern philosophical interpretations of geometry
2021-May-10
49 minutes
Episode Image “Let it have been drawn”: the role of diagrams in geometry
2021-Mar-10
51 minutes
Episode Image Why construct?
2021-Jan-20
78 minutes
Episode Image Created equal: Euclid’s Postulates 1-4
2020-Dec-10
41 minutes
Episode Image That which has no part: Euclid’s definitions
2020-Nov-03
43 minutes
Episode Image What makes a good axiom?
2020-Oct-04
35 minutes
Episode Image Consequentia mirabilis: the dream of reduction to logic
2020-Sep-08
35 minutes
Episode Image Read Euclid backwards: history and purpose of Pythagorean Theorem
2020-Jul-30
41 minutes
Episode Image Singing Euclid: the oral character of Greek geometry
2020-Jun-21
40 minutes
Episode Image First proofs: Thales and the beginnings of geometry
2020-May-15
42 minutes
Episode Image Societal role of geometry in early civilisations
2020-Mar-29
36 minutes
Episode Image Why the Greeks?
2020-Feb-16
40 minutes
Episode Image The mathematicians’ view of Galileo
2020-Jan-11
36 minutes
Episode Image Historiography of Galileo’s relation to antiquity and middle ages
2019-Dec-03
35 minutes
Episode Image More things Galileo didn’t do first
2019-Oct-28
53 minutes
Episode Image Galileo was the first to … what exactly?
2019-Sep-21
44 minutes
Episode Image Galileo and the Church
2019-Aug-15
40 minutes
Episode Image Galileo’s theory of comets is hot air
2019-Jul-07
36 minutes
Episode Image Phases of Venus
2019-Jun-02
31 minutes
Episode Image Blemished sun
2019-May-04
32 minutes
Episode Image The telescope
2019-Apr-06
31 minutes
Episode Image Heliocentrism before the telescope
2019-Mar-09
31 minutes
Episode Image Heliocentrism in antiquity
2019-Feb-11
31 minutes
Episode Image Galileo’s theory of tides
2019-Jan-18
22 minutes
Episode Image Why Galileo is like Nostradamus
2018-Dec-27
28 minutes
Episode Image Galileo’s errors on projectile motion and inertia
2018-Dec-10
26 minutes
Episode Image The case against Galileo on the law of fall
2018-Nov-29
21 minutes
Episode Image Galilean science in antiquity?
2018-Nov-21
23 minutes
Episode Image Mathematics versus philosophy, then and now
2018-Nov-21
19 minutes
Episode Image Galileo bad, Archimedes good
2018-Nov-21
16 minutes