Classical First-order Logic

Shapiro, Stewart; Kissel, Teresa Kouri

ISBN 10: 1108987001 / ISBN 13: 9781108987004

Published by Cambridge University Press, 2022

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Unread book in perfect condition. Seller Inventory # 44107248

Bibliographic Details

Title: Classical First-order Logic

Publisher: Cambridge University Press

Publication Date: 2022

Binding: Soft cover

Condition: As New

About this title

Synopsis:

One is often said to be reasoning well when they are reasoning logically. Many attempts to say what logical reasoning is have been proposed, but one commonly proposed system is first-order classical logic. This Element will examine the basics of first-order classical logic and discuss some surrounding philosophical issues. The first half of the Element develops a language for the system, as well as a proof theory and model theory. The authors provide theorems about the system they developed, such as unique readability and the Lindenbaum lemma. They also discuss the meta-theory for the system, and provide several results there, including proving soundness and completeness theorems. The second half of the Element compares first-order classical logic to other systems: classical higher order logic, intuitionistic logic, and several paraconsistent logics which reject the law of ex falso quodlibet.