Partner im RedaktionsNetzwerk Deutschland
Luister naar Opinionated History of Mathematics in de app
Luister naar Opinionated History of Mathematics in de app
(171.489)
Favorieten opslaan
Wekker
Slaaptimer
Favorieten opslaan
Wekker
Slaaptimer
HomePodcastsWetenschap
Opinionated History of Mathematics

Opinionated History of Mathematics

Podcast Opinionated History of Mathematics
Podcast Opinionated History of Mathematics

Opinionated History of Mathematics

Intellectual Mathematics
toevoegen
History of mathematics research with iconoclastic madcap twists Meer
History of mathematics research with iconoclastic madcap twists Meer

Beschikbare afleveringen

5 van 36
  • Review of Netz’s New History of Greek Mathematics
    Reviel Netz’s New History of Greek Mathematics contains a number of factual errors, both mathematical and historical. Netz is dismissive of traditional scholarship in the field, but in some ways represents a step backwards with respect to that tradition. I argue against Netz’s dismissal of many anecdotal historical testimonies as fabrications, and his “ludic proof” … Continue reading Review of Netz’s New History of Greek Mathematics
    11-10-2022
    52:04
  • The “universal grammar” of space: what geometry is innate?
    Geometry might be innate in the same way as language. There are many languages, each of which is an equally coherent and viable paradigm of thought, and the same can be said for Euclidean and non-Euclidean geometries. As our native language is shaped by experience, so might our “native geometry” be. Yet substantive innate conceptions … Continue reading The “universal grammar” of space: what geometry is innate?
    20-5-2022
    32:22
  • “Repugnant to the nature of a straight line”: Non-Euclidean geometry
    The discovery of non-Euclidean geometry in the 19th century radically undermined traditional conceptions of the relation between mathematics and the world. Instead of assuming that physical space was the subject matter of geometry, mathematicians elaborated numerous alternative geometries abstractly and formally, distancing themselves from reality and intuition. Transcript The mathematician has only one nightmare: to … Continue reading “Repugnant to the nature of a straight line”: Non-Euclidean geometry
    20-2-2022
    30:40
  • Rationalism 2.0: Kant’s philosophy of geometry
    Kant developed a philosophy of geometry that explained how geometry can be both knowable in pure thought and applicable to physical reality. Namely, because geometry is built into not only our minds but also the way in which we perceive the world. In this way, Kant solved the applicability problem of classical rationalism, albeit at … Continue reading Rationalism 2.0: Kant’s philosophy of geometry
    17-11-2021
    30:00
  • Rationalism versus empiricism
    Rationalism says mathematical knowledge comes from within, from pure thought; empiricism that it comes from without, from experience and observation. Rationalism led Kepler to look for divine design in the universe, and Descartes to reduce all mechanical phenomena to contact mechanics and all curves in geometry to instrumental generation. Empiricism led Newton to ignore the … Continue reading Rationalism versus empiricism
    18-9-2021
    43:50

Meer Wetenschap podcasts

Over Opinionated History of Mathematics

History of mathematics research with iconoclastic madcap twists
Podcast website

Luister naar Opinionated History of Mathematics, Psychohacks - Leichter durchs Leben en vele andere stations van over de hele wereld met de radio.net-app

Opinionated History of Mathematics

Opinionated History of Mathematics

Download nu gratis en luister gemakkelijk naar radio.

Google Play StoreApp Store