English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Book Chapter

Time and periodicity from Ptolemy to Schrödinger: paradigm shifts vs continuity in history of mathematics

MPS-Authors
/persons/resource/persons235752

Manin,  Yuri I.
Max Planck Institute for Mathematics, Max Planck Society;

External Ressource
Fulltext (public)

arXiv:1812.00364.pdf
(Preprint), 106KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Manin, Y. I. (2019). Time and periodicity from Ptolemy to Schrödinger: paradigm shifts vs continuity in history of mathematics. In S. Dani, & A. Papadopoulos (Eds.), Geometry in history (pp. 129-138). Cham: Springer.


Cite as: http://hdl.handle.net/21.11116/0000-0007-8D5D-3
Abstract
I briefly consider the Kuhnian notion of "paradigm shifts" applied to the history of mathematics and argue that the succession and intergenerational continuity of mathematical thought was undeservedly neglected in the historical studies. To this end, I focus on the history of mathematical theory of time and periodicity, from Ptolemy's epicycles to Schroedinger's quantum amplitudes interference and contemporary cosmological models.