Classical First-Order Logic

Stewart Shapiro, Teresa Kouri Kissel (Autoren)

Buch | Softcover

75 Seiten

2022
Cambridge University Press (Verlag)
978-1-108-98700-4 (ISBN)

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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.

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.

Erscheinungsdatum	01.04.2022
Reihe/Serie	Elements in Philosophy and Logic
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	151 x 230 mm
Gewicht	140 g
Themenwelt	Geisteswissenschaften ► Philosophie ► Logik
ISBN-10	1-108-98700-1 / 1108987001
ISBN-13	978-1-108-98700-4 / 9781108987004
Zustand	Neuware