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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):

➤ History of mathematics • Revisionist perspectives • Interplay with science and philosophy • Non-Euclidean geometry • Galileo and Copernican debates • Geometry's cultural and societal roles • Teaching implications

This podcast, "Opinionated History of Mathematics," hosted by Dr. Viktor Blåsjö, delves into the historical tapestry of mathematics and its intersections with science, philosophy, and culture. The show offers a revisionist perspective, challenging conventional wisdom and providing contrarian viewpoints. Across its episodes, the podcast examines influential mathematical figures and theories, dissecting their historical contexts and implications for both historical scholarship and modern teaching.

The content often questions widely accepted narratives in the history of mathematics. For instance, it explores whether figures like Galileo and Copernicus were as revolutionary as traditionally portrayed, suggesting that many of their contributions and ideas were preceded by earlier thinkers. The podcast also features episodes that investigate the origins and psychological insights behind famous historical anecdotes, such as those involving Archimedes and Euclid.

Themes of philosophy and mathematics are prominent, with discussions on rationalism versus empiricism and the philosophical underpinnings of geometry from Kant to Euclid. The podcast delves into the constructivist principles evident in Einstein's theory of special relativity and the ongoing debate regarding the innate nature of geometry and its implications for cognitive science.

Additionally, the podcast scrutinizes the cultural and societal roles of mathematics throughout history, highlighting its impact on various civilizations. By revisiting historical accounts and exploring lesser-known perspectives, the podcast challenges traditional narratives and encourages listeners to rethink the long-standing relationship between mathematics and society. Overall, it presents an informed and critical exploration of how historical interpretations of mathematics shape our current understanding of the discipline.


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