1981Unpublished venueRequires access

Modern logic -- a survey : historical, philosophical, and mathematical aspects of modern logic and its applications

Évandro Agazzi

Open publisher page 4 citations

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.

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Philosophy of logic, Dynamic logic (digital electronics), Multimodal logic, Computational logic, Many-valued logic, Higher-order logic, Intermediate logic, Substructural logic

Related papers

Back to paper searchBrowse research topicsOriginal source
Modern logic -- a survey : historical, philosophical, and mathematical aspects of modern logic and its applications — Research Paper | ScholarLens