Opinionated History of Mathematics

By: Intellectual Mathematics
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  • Summary

  • History of mathematics research with iconoclastic madcap twists
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Episodes
  • Torricelli’s trumpet is not counterintuitive

    Torricelli’s trumpet is not counterintuitive
    Dec 30 2024
    There is nothing counterintuitive about an infinite shape with finite volume, contrary to the common propaganda version of the calculus trope known as Torricelli’s trumpet. Nor was this result seen as counterintuitive at the time of its discovery in the 17th century, contrary to many commonplace historical narratives. Transcript Torricelli’s trumpet is not counterintuitive. Your … Continue reading Torricelli’s trumpet is not counterintuitive
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    57 mins
  • Did Copernicus steal ideas from Islamic astronomers?

    Did Copernicus steal ideas from Islamic astronomers?
    Nov 29 2023
    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 gotten his hands on these Maragha ideas somehow or other, even … Continue reading Did Copernicus steal ideas from Islamic astronomers?
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    1 hr and 27 mins
  • Operational Einstein: constructivist principles of special relativity

    Operational Einstein: constructivist principles of special relativity
    Jul 23 2023
    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. Transcript Oh no, we are chained to a wall! Aaah! This is going to mess up our geometry big time. Remember what … Continue reading Operational Einstein: constructivist principles of special relativity
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    1 hr and 17 mins

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