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Logic, Form and Grammar

Logic, Form and Grammar

Paperback

Series: International Library of Philosophy

LinguisticsLogic

ISBN10: 0415408083
ISBN13: 9780415408080
Publisher: Routledge
Published: May 1 2006
Pages: 120
Weight: 0.41
Height: 0.26 Width: 6.14 Depth: 9.21
Language: English

The notion of logical form and its applications are at the heart of some of the classical problems in philosophical logic and are the focus of Peter Long's investigations in the three essays that comprise this volume.

In the first, major, essay the concern is with the notion of logical form as it applies to arguments involving hypotethical statements, for example 'If today is Wednesday then tomorrow is Thursday; today is Wednesday: therefore tomorrow is Thursday.' Whilst such an argument (an argument by modus ponens) is cited by logical textbooks as a paradigm of one that is 'formally valid', it is not hard to show that the conjunction forming a hypothetical statement is not a logical constant, in which case the argument form If p then q; p: therefore q is not a logical form. But, then, how can logic claim to be the science of formal inference? The author resolves this difficulty by drawing a fundamental distinction within the notion of the form under which an argument is valid. With this distinction it becomes possible for the first time to determine the status of any formally valid argument involving hypotheticals, whether as premises or conclusion or both.

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