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The Identity of Indiscernibles

  • A. J. Ayer

Abstract

The principle of the identity of indiscernibles would seem, in the forms in which it is usually stated, to be at best contingently true. It does not appear that even Leibniz held it to be logically inconceivable that different things should have all their properties in common. That ‘no substances are completely similar, or differ solo numero1 was established, in his view, by the principle of sufficient reason, but he conceded that ‘the supposition of two indiscernibles seems to be possible in abstract terms’.2 Indeed, it may plausibly be argued that even to ask whether things can be different without being discernible from one another is to admit that it is logically possible. For what sense could there be either in affirming or in denying that two things could have all their properties in common unless they were already distinguished? As Russell put it, ‘it is a sheer logical error to suppose that, if there were an ultimate distinction between subjects and predicates, subjects could be distinguished by differences of predicates.

Keywords

Infinite Series Sufficient Reason Relational Predicate Predicative Function Philosophical Essay 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Palgrave Macmillan, a division of Macmillan Publishers Limited 1972

Authors and Affiliations

  • A. J. Ayer
    • 1
  1. 1.University of OxfordUK

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