Chapter

What Is Mathematical Realism?

Michael D. Resnik

in Mathematics as a Science of Patterns

Published in print December 1999 | ISBN: 9780198250142
Published online November 2003 | e-ISBN: 9780191598296 | DOI: http://dx.doi.org/10.1093/0198250142.003.0002
 What Is Mathematical Realism?

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Talk of truth plays a major role in formulating realism, to the point that realist theories are often criticized by attacking the correspondence theory of truth that they are presumed to defend. In this chapter, I claim that there is an alternative theory of truth, which is both non‐epistemic and not based on correspondence relation that suffices to support mathematical realism. I describe the theory as a logical conception of truth because the truth predicate will turn out to be simply a logical operator. The theory has two main features: it is disquotational, and immanent, in that it specifies the extension of the term ‘true’ only for the language in which it applies.

Keywords: correspondence theory of truth; disquotational; epistemic; immanent; logical operator; mathematical realism; transcendent; truth

Chapter.  12196 words. 

Subjects: Philosophy of Mathematics and Logic

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