Modern logic -- a survey : historical, philosophical, and mathematical aspects of modern logic and its applications
Évandro Agazzi
Abstract
Évandro Agazzi
Abstract
1: Introduction.- The General Sense and Character of Modern Logic.- The Growth of Logic Out of the Foundational Research in Mathematics.- 2: Pure Logic.- Proof Theory.- Model Theory.- Constructivist Approaches to Logic.- Inflnitary Logics.- Many-Valued Logics.- Modal and Relevance Logics: 1977.- 3: The Interplay Between Logic and Mathematics.- Logic and the Foundations of Mathematics.- Logic and Set Theory.- Recursion Theory.- The Interplay Between Logic and Mathematics: Intuitionism.- Logic and Probability.- Logic and Category Theory.- 4: The Relevance of Logic to Other Scientific Disciplines.- Logic and Methodology of Empirical Sciences.- Standard Vs. Nonstandard Logic: Higher-Order, Modal, and First-Order Logics.- Logic and Computers.- Logic and Linguistics.- Logical Foundations of Quantum Mechanics.- Inductive Logic 1945-1977.- 5: Logic and Philosophical Topics.- Logic and Ontology.- Problems and Prospects of Deontic Logic - A Survey.- Report on Tense Logic.- Logical Semiotic.- Logic and Rhetoric.- Index of Names.- Index of Subjects.
OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
1: Introduction.- The General Sense and Character of Modern Logic.- The Growth of Logic Out of the Foundational Research in Mathematics.- 2: Pure Logic.- Proof Theory.- Model Theory.- Constructivist Approaches to Logic.- Inflnitary Logics.- Many-Valued Logics.- Modal and Relevance Logics: 1977.- 3: The Interplay Between Logic and Mathematics.- Logic and the Foundations of Mathematics.- Logic and Set Theory.- Recursion Theory.- The Interplay Between Logic and Mathematics: Intuitionism.- Logic and Probability.- Logic and Category Theory.- 4: The Relevance of Logic to Other Scientific Disciplines.- Logic and Methodology of Empirical Sciences.- Standard Vs. Nonstandard Logic: Higher-Order, Modal, and First-Order Logics.- Logic and Computers.- Logic and Linguistics.- Logical Foundations of Quantum Mechanics.- Inductive Logic 1945-1977.- 5: Logic and Philosophical Topics.- Logic and Ontology.- Problems and Prospects of Deontic Logic - A Survey.- Report on Tense Logic.- Logical Semiotic.- Logic and Rhetoric.- Index of Names.- Index of Subjects.
Key concepts: Philosophy of logic, Dynamic logic (digital electronics), Multimodal logic, Computational logic, Many-valued logic, Higher-order logic, Intermediate logic, Substructural logic