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Mathematics as a Science of Patterns$
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Michael D. Resnik

Print publication date: 1999

Print ISBN-13: 9780198250142

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0198250142.001.0001

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What Is Mathematical Realism?

What Is Mathematical Realism?

(p.10) 2 What Is Mathematical Realism?
Mathematics as a Science of Patterns

Michael D. Resnik (Contributor Webpage)

Oxford University Press

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

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