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Modal LogicAn Introduction to its Syntax and Semantics$
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Nino B. Cocchiarella and Max A. Freund

Print publication date: 2008

Print ISBN-13: 9780195366587

Published to Oxford Scholarship Online: October 2011

DOI: 10.1093/acprof:oso/9780195366587.001.0001

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Quantified Modal Logic

Quantified Modal Logic

Chapter:
(p.118) (p.119) Chapter 7 Quantified Modal Logic
Source:
Modal Logic
Author(s):

Nino B. Cocchiarella

Max A. Freund

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780195366587.003.0007

This chapter describes the syntax of first-order modal predicate logic and develops the first-order extensions of the different sentential modal logics constructed in Chapter 2. The authors distinguish in this section between actualism, which is based on free logic, i.e. logic that is free of existential presuppositions for singular terms, and possibilism, which is based on standard logic. The Carnap–Barcan formula is provable in possibilism that are not provable in actualism.

Keywords:   syntax, first-order modal predicate logic, sentential modal logics, actualism, free logic, standard logic, possibilism, Carnap–Barcan formula

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