On Existence, Inconsistency, and Indispensability
Principia: An International Journal of Epistemology（2018）
Abstract
In this paper I sketch some lines of response to Mark Colyvan’s (2008) indispensability arguments for the existence of inconsistent objects, being mainly concerned with the indispens ability of inconsistent mathematical entities. My response will draw heavily on Jody Azzouni’s (2004) deflationary nominalism.
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Key words
Indispensability argument,Deflationary nominalism,Inconsistent theories,Inconsistent objects,Dialetheism,Principle of non-contradiction
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