Classical First-Order Logic
$22.00 USD
Part of Elements in Philosophy and Logic
- Authors:
- Stewart Shapiro, Ohio State University
- Teresa Kouri Kissel, Old Dominion University, Virginia
- Date Published: May 2022
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9781108989923
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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.
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×Product details
- Date Published: May 2022
- format: Adobe eBook Reader
- isbn: 9781108989923
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Introduction
2. Formal System
3. Language
4. Deduction
5. Model-Theoretic Semantics
6. Meta-theory
7. Classical Higher-Order Logic
8. Intuitionism
9. Paraconsistency: demurring from ex falso quodlibet
10. Conclusion.
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