What Is Mathematical Realism?

In Michael David Resnik (ed.), Mathematics as a science of patterns. New York ;: Oxford University Press (1997)
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Abstract

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.

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Michael Resnik
University of North Carolina, Chapel Hill

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