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Philosophical and Mathematical Logic

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Philosophical and Mathematical Logic/ by Harrie de Swart.
Author:	de Swart, Harrie.
Description:	XX, 539 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Epistemology. -
Online resource:	https://doi.org/10.1007/978-3-030-03255-5
ISBN:	9783030032555

Philosophical and Mathematical Logic
de Swart, Harrie.

Philosophical and Mathematical Logic[electronic resource] /by Harrie de Swart. - 1st ed. 2018. - XX, 539 p.online resource. - Springer Undergraduate Texts in Philosophy,2569-8737. - Springer Undergraduate Texts in Philosophy,.

Chapter 1. Propositional Logic -- Chapter 2. Predicate Logic -- Chapter 3. Arithmetic and Gödel’s incompleteness theorem -- Chapter 4. Sets (finite and infinite) -- Chapter 5. Philosophical logic: modal, epistemic, deontic, temporal -- Chapter 6. Philosophy of language -- Chapter 7. Intuitionism and intuitionistic logic -- Chapter 8. Applications of logic and set theory: logic programming; relational databases.

This book was written to serve as an introduction to logic, with in each chapter – if applicable – special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic, temporal) and intuitionistic logic as well. The first chapter is an easy to read non-technical Introduction to the topics in the book. The next chapters are consecutively about Propositional Logic, Sets (finite and infinite), Predicate Logic, Arithmetic and Gödel’s Incompleteness Theorems, Modal Logic, Philosophy of Language, Intuitionism and Intuitionistic Logic, Applications (Prolog; Relational Databases and SQL; Social Choice Theory, in particular Majority Judgment) and finally, Fallacies and Unfair Discussion Methods. Throughout the text, the author provides some impressions of the historical development of logic: Stoic and Aristotelian logic, logic in the Middle Ages and Frege's Begriffsschrift, together with the works of George Boole (1815-1864) and August De Morgan (1806-1871), the origin of modern logic. Since "if …, then …" can be considered to be the heart of logic, throughout this book much attention is paid to conditionals: material, strict and relevant implication, entailment, counterfactuals and conversational implicature are treated and many references for further reading are given. Each chapter is concluded with answers to the exercises.

ISBN: 9783030032555

Standard No.: 10.1007/978-3-030-03255-5doiSubjects--Topical Terms:

671538
Epistemology.

LC Class. No.: BD143-237

Dewey Class. No.: 120

Philosophical and Mathematical Logic
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