Francois Lepage
Université de Montréal
This paper is composed of two independent parts. The first is concerned with Russell’s early philosophy of mathematics and his quarrel with Poincaré about the nature of their opposition. I argue that the main divergence between the two philosophers was about the nature of definitions. In the second part, I briefly present Le!niewski’s Ontology and suggest that Le!niewski’s original treatment of definitions in the foundations of mathematics is the natural solution to the problem that divided Russell and Poincaré
Keywords Lesniewski  Russell  definition  Poincaré  contradiction
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Reprint years 2008, 2009
DOI 10.4148/biyclc.v4i0.138
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S. Leśniewski's Calculus of Names.Jerzy Słupecki - 1984 - In Jan T. J. Srzednicki, V. F. Rickey & J. Czelakowski (eds.), Studia Logica. Distributors for the United States and Canada, Kluwer Boston. pp. 59--122.
Poincaré Against the Logicians.Michael Detlefsen - 1992 - Synthese 90 (3):349 - 378.
On Understanding Leśniewski.Peter M. Simons - 1982 - History and Philosophy of Logic 3 (2):165-191.
Les mathématiques et la logique.H. Poincaré - 1905 - Revue de Métaphysique et de Morale 13 (6):815-835.

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