Implicit Definitions and Uniqueness in the Neologicist Program
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Abstract
In this paper I consider a problem affecting the Neologicist Program advocated on many occasions by Bob Hale and Crispin Wright. In particular, I argue that Hale and Wright have not given enough conditions to separate appropriate implicit definitions such as Hume’s Principle from rival implicit definitions like Second-Order Peano Arithmetic. I also suggest that this task can only be performed adequately if one of the proposed conditions is that every implicit definition be univocal.
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