[FOM] induction and reducibility

[Joseph Vidal-Rosset]

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Le Tue, 23 Oct 2007 19:13:57 +0100,
A J Franco de Oliveira <francoli at kqnet.pt> a écrit :

> Dear FOMs
> In section 4 (dedicated to the axiom of reducibility) of his last
> paper "La logique de l'infini" ("The logic of infinity"), published
> in Scientia 12 (1912) 1-16 and reprinted in the book Dernieres
> Pensees (Flammarion, 1913, translated as Last Essays, Dover 1963)
> Henri Poincare says that he suspects that Russell's axiom of
> reducibility is just another form of the principle of mathematical
> induction. Any thoughts on this question? P.S. I have prepared a
> Portuguese translation (in pdf format) which will be sent on request
> to anyone who so desires. From sunny Lisbon AJFO  

Hello,

My colleague Gerhard Heinzmann just gave me this reference:

 Cf. on this point: Gerhard Heinzmann, Zwischen Objektkonstruktion  
und Strukturanalyse. Zur Philosophie der Mathematik bei Henri  
Poincaré, Göttingen : Vandenhoek & Ruprecht, 1995, 131-132.

I hope that helps,


- -- 
Joseph Vidal-Rosset
Université de Nancy 2
Département de philosophie
Bd Albert 1er
F-54000 Nancy

page web: http://jvrosset.free.fr
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