Wittgenstein on Mathematical Identities

Disputatio 4 (34):755-805 (2012)
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Abstract

This paper offers a new interpretation for Wittgenstein`s treatment of mathematical identities. As it is widely known, Wittgenstein`s mature philosophy of mathematics includes a general rejection of abstract objects. On the other hand, the traditional interpretation of mathematical identities involves precisely the idea of a single abstract object – usually a number –named by both sides of an equation.

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10.2478/disp-2012-0031

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André Porto
Universidade Federal de Goiás

Citations of this work

SINGULARITY AND VISUAL PERCEPTION.André Porto - 2023 - Dissertatio 58:218-246.
Rule-following and Functions.André Porto - 2013 - O Que Nos Faz Pensar 33:95-141.

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References found in this work

Philosophical Investigations.Ludwig Wittgenstein - 1953 - New York, NY, USA: Wiley-Blackwell. Edited by G. E. M. Anscombe.
Word and Object.Willard Van Orman Quine - 1960 - Cambridge, MA, USA: MIT Press.
The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge, Mass.: Harvard University Press.
Remarks on the foundations of mathematics.Ludwig Wittgenstein - 1956 - Oxford [Eng.]: Blackwell. Edited by G. E. M. Anscombe, Rush Rhees & G. H. von Wright.

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