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Classical First-Order Logic
Taschenbuch von Stewart Shapiro (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
ISBN-13: 9781108987004
ISBN-10: 1108987001
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Shapiro, Stewart
Kissel, Teresa Kouri
Hersteller: Cambridge University Press
Maße: 229 x 152 x 5 mm
Von/Mit: Stewart Shapiro (u. a.)
Erscheinungsdatum: 13.05.2022
Gewicht: 0,131 kg
Artikel-ID: 120951939
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
ISBN-13: 9781108987004
ISBN-10: 1108987001
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Shapiro, Stewart
Kissel, Teresa Kouri
Hersteller: Cambridge University Press
Maße: 229 x 152 x 5 mm
Von/Mit: Stewart Shapiro (u. a.)
Erscheinungsdatum: 13.05.2022
Gewicht: 0,131 kg
Artikel-ID: 120951939
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