Poincaré's conception of the objectivity of mathematics

Philosophia Mathematica 2 (3):202-227 (1994)
Abstract
There is a basic division in the philosophy of mathematics between realist, ‘platonist’ theories and anti-realist ‘constructivist’ theories. Platonism explains how mathematical truth is strongly objective, but it does this at the cost of invoking mind-independent mathematical objects. In contrast, constructivism avoids mind-independent mathematical objects, but the cost tends to be a weakened conception of mathematical truth. Neither alternative seems ideal. The purpose of this paper is to show that in the philosophical writings of Henri Poincaré there is a coherent argument for an interesting position between the two traditional poles in the philosophy of mathematics. Relying on a semi-Kantian framework, Poincaré combines an epistemological and metaphysical constructivism with a more realist account of the nature of mathematical truth.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/philmat/2.3.202
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 26,769
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Science and Method.Henri Poincaré - 1914 - Dover Publications.
Truth and Proof.Otávio Bueno - 2008 - Manuscrito 31 (1):419-440.
The Many Faces of Mathematical Constructivism.B. Kerkhove & J. P. Bendegem - 2012 - Constructivist Foundations 7 (2):97-103.
Poincare on Mathematics, Intuition and the Foundations of Science.Janet Folina - 1994 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:217 - 226.
Poincaré: Mathematics & Logic & Intuition.Colin Mclarty - 1997 - Philosophia Mathematica 5 (2):97-115.
Mathematics and Reality.Mary Leng - 2010 - Oxford University Press.
Platonism and Anti-Platonism: Why Worry?Mary Leng - 2005 - International Studies in the Philosophy of Science 19 (1):65 – 84.
Science and Method.Henri Poincaré - 1952 - New York]Dover Publications.

Monthly downloads

Added to index

2009-01-28

Total downloads

78 ( #66,317 of 2,158,886 )

Recent downloads (6 months)

2 ( #193,038 of 2,158,886 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums