Logica Universalis

, Volume 6, Issue 1–2, pp 217–226 | Cite as

How to Take Advantage of the Blur Between the Finite and the Infinite

  • Pierre CartierEmail author


In this paper is presented and discussed the notion of true finite by opposition to the notion of theoretical finite. Examples from mathematics and physics are given. Fermat’s infinite descent principle is challenged.

Mathematics Subject Classification (2010)

Primary 00A30 Secondary 01A05 03A05 03b53 


Finite infinite descent induction opposition paradoxes astronomy Fermat’s principle 


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Copyright information

© Springer Basel AG 2012

Authors and Affiliations

  1. 1.CNRS, Université Paris-Diderot, Institut des Hautes Études ScientifiquesBures-sur-YvetteFrance

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