Objects and Identity: An Examination of the Relative Identity Thesis and Its Consequences
Identity has for long been an important concept in philosophy and logic. Plato in his Sophist puts same among those fonns which "run through" all others. The scholastics inherited the idea (and the tenninology), classifying same as one of the "transcendentals", i.e. as running through all the categories. The work of Locke and l.eibniz made the concept a problematic one. But it is rather recently, i.e. since the importance of Frege has been generally recognized, that there has been a keen interest in the notion, fonnulated by him, of a criterion of identity. This, at first sight harmless as well as useful, has proved to be like a charge of dynamite. The seed had indeed been sown long ago, by Euclid. In Book V of his Elements he first gives a useless defmition of a ratio: "A ratio is a sort of relation between two magnitudes in respect of muchness". But then, in definition 5 he answers, not the question "What is a ratio?" but rather ''What is it for magnitudes to be in the same ratio?" and this is the definition that does the work.
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ABSOLUTE AND RELATIVE IDENTITY
DIACHRONIC IDENTITY AS RELATIVE IDENTITY
SYNCHRONIC IDENTITY AS RELATIVE IDENTITY
QUINE ON SYNCHRONIC IDENTITY
SORTAL CONCEPTS AND IDENTITY
ON THE NOTION OF A CRITERION OF IDENTITY
ABSOLUTE IDENTITY AND CRITERIA OF IDENTITY
RESTRICTED AND UNRESTRICTED QUANTIFICATION
ABSOLUTE IDENTITY AND CRITERIA OF IDENTITY CONCLUDED
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absolute equivalence relation absolute identity argue associated B-set B-stages believed in Hegel's billiard ball chapter Chones claim classical identity constitutes count noun counterpart Counterpart Theory course criterion of identity David Wiggins definite description discussion distinct Dummett entails example exist explained express an absolute fact false fission fluvium follows Frege Fregean Geach Geach's argument Geach's view Hegel's dialectic Heraclitus bathed herald holds among x,t I-predicable introduced involved Jimmy Jimmy-1 Leibniz's Law M-type McTaggart means Michael Dummett names for B's Noonan notion number of planets object obviously occurring parcel of matter person-stages personal identity philosopher possible predicate proper name quasi-memory question Quine Quine's point Quinean regard relation can serve relation expressed relative equivalence relation Relative Identity Thesis restricted quantifiers river River Windrush river-bed sense sentence serve as criteria Shoemaker sitter someone sortal concept sortal term stages statement summation surman Tibbles true truth-conditions unity relation yesterday