Discovery, Invention and Realism: Gödel and others on the Reality of Concepts

In John Polkinghorne (ed.), Mathematics and its Significance. Oxford University Press. pp. 73-96 (2011)
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Abstract

The general question considered is whether and to what extent there are features of our mathematical knowledge that support a realist attitude towards mathematics. I consider, in particular, reasoning from claims such as that mathematicians believe their reasoning to be part of a process of discovery (and not of mere invention), to the view that mathematical entities exist in some mind-independent way although our minds have epistemic access to them.

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Michael Detlefsen
Last affiliation: University of Notre Dame

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