Classical First-Order Logic
Published on 4. May 2022
978-1-108-98992-3 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Illustrations
Worked examples or Exercises
File size
0,90 MB
ISBN-13
978-1-108-98992-3 (9781108989923)
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Schweitzer Classification
Other editions
Additional editions
Stewart Shapiro | Teresa Kouri Kissel
Classical First-Order Logic
Book
05/2022
Cambridge University Press
€26.50
Shipment within 15-20 days
Persons
Content
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.
