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Philosophical Papers Volume I$
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David Lewis

Print publication date: 1983

Print ISBN-13: 9780195032048

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0195032047.001.0001

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Counterpart Theory and Quantified Modal Logic

Counterpart Theory and Quantified Modal Logic

Chapter:
(p.26) Three Counterpart Theory and Quantified Modal Logic
Source:
Philosophical Papers Volume I
Author(s):

David Lewis

Publisher:
Oxford University Press
DOI:10.1093/0195032047.003.0003

In this landmark paper, Lewis outlines his theory of modality and counterparts. The eight postulates constitutive of Lewis's counterpart theory are expressed in an extensional first‐order language that replaces the modal operators (characteristic of traditional quantified modal logic) with four primitive predicates: ‘x is a possible world’, ‘x is in possible world y’, ‘x is actual’, and ‘x is a counterpart of y’. Upon presenting a scheme for translating sentences expressed in quantified modal logic into those expressed in his preferred extensional language, Lewis demonstrates that the latter is nevertheless a richer language; while every sentence of quantified modal logic may be translated into a sentence expressed in counterpart theory, the reverse is not the case. Lewis concludes the paper by considering the implications of his view for several well‐known topics (notably, Aristotelian essentialism). The postscript includes numerous additions and emendations (including a specification of the primitive predicate, ‘x is in possible world y’).

Keywords:   counterpart, counterpart theory, essence, essentialism, logic, modal logic, modality, necessity, possibility, possible worlds

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