Identity Facts
Salmon (Nathan)
Source: Salmon (Nathan) - Metaphysics, Mathematics, and Meaning, 2005
Paper - Abstract

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Oxford Scholarship Online

  1. For any x there can be nothing y such that there is no fact that x = y and at the same time no fact that x <> y.
  2. For if there were, then y would differ from x in this respect: that there is no fact that x is it and no fact that x is not it.
  3. In this case there is a fact that x <> y. In short, identity is always determinate.
  4. This argument is defended at length against the most developed response to date, that of Terence Parsons. The proof is also contrasted with a similar proof due to Gareth Evans.

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