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Identity and Necessary Similarity

Published online by Cambridge University Press:  01 January 2020

Raja Bahlul*
Affiliation:
Indiana University-Purdue University, at Indianapolis, IndianapolisIN 46202, USA

Extract

The Principle of the Identity of Indiscernibles (PH), commonly attributed to Leibniz, has given rise to much discussion and debate. Thus philosophers have argued over how it should be formulated, whether it is (necessarily) true, and what, if any, metaphysical consequences it has.

It is not my intention to add to these discussions here, having done so elsewhere. Rather, I intend to introduce and defend a closely related principle which I shall, for want of a better name, refer to as The Principle of the Identity of Necessary Similarity’ (PINS).

In section II, I briefly recapitulate some of the distinctions and other relevant points which are customarily made in connection with (PH). This is all too familiar material, but it is necessary in order to provide a general framework of concepts in terms of which we can discuss (PINS) in an intelligible fashion.

Type
Research Article
Copyright
Copyright © The Authors 1992

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References

1 Bahlul, R.Ockham’s Razor and the Identity of Indiscernibles,’ Philosophy Research Archives 14 (1988-89) 405-14CrossRefGoogle Scholar

2 Leibniz, Philosophical Papers and Letters, 2nd ed., Loemker, L.E. ed. (Dordrecht: D. Reidel 1969), 308Google Scholar

3 Adams refers to all such properties, simple and complex, as ‘suchnesses.’ See Adams, R.Primitive Thisness and Primitive Identity,’ Journal of Philosophy 76 (1979), 8.CrossRefGoogle Scholar

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10 This is the classical example used by Max Black to argue for the idea that (PII) is not a necessarily true principle. See Black, M.The Identity of Indiscernibles,’ Mind 61 (1952) 152-63.Google Scholar

11 Kripke, S. Naming and Necessity (Oxford: Basil Blackwell 1980), 3Google Scholar

12 Hughes, G.E. and Cresswell, M.J. An Introduction to Modal Logic (London: Methuen 1968), 190Google Scholar

13 This is known as ‘Brouwer’s axiom.’ See Hughes & Cresswell, 57, where this axiom is briefly explained.

14 Thus Kripke says that necessary identity is a ‘self-evident [thesis] of philosophical logic independent of natural language’ (4).

15 I would like to thank my former teacher, Prof. Romane Clark, and anonymous referees of this journal for many helpful comments and suggestions.