Philosophical and Mathematical Logic | Buch

Cover: 9783030032531 | Philosophical and Mathematical Logic | Harrie de Swart | Buch

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Sprache: Englisch

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Beschreibung

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.

Philosophical and Mathematical Logic is a very recent book (2018), but with every aspect of a classic. What a wonderful book!
Work written with all the necessary rigor, with immense depth, but without giving up clarity and good taste.
Philosophy and mathematics go hand in hand with the most diverse themes of logic.
An introductory text, but not only that. It goes much further.
It's worth diving into the pages of this book, dear reader!

Paulo Sérgio Argolo

Über den Autor

Harrie de Swart has almost fifty years of experience in teaching Logic in all its aspects at three different universities. The author has great experience in making the insights and highlights of logic accessible to students, also to those students who are not keen on mathematical methods. He is convinced that the interest of logic is in its relationships with philosophy, mathematics, artificial intelligence, computer science and linguistics. Apart from logic, also the theory of social choice belongs to his research interests.

Zusammenfassung

Offers a treatment of logic that touches upon all of its aspects

Focuses attention upon the relation of logic to other disciplines

Scrutinizes beyond definitions and theorems by providing explanations to the underlying ideas

Inhaltsverzeichnis

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.

Erscheinungsjahr:	2018
Fachbereich:	Allgemeines
Genre:	Philosophie
Jahrhundert:	Antike
Rubrik:	Geisteswissenschaften
Thema:	Lexika
Medium:	Buch
Reihe:	Springer Undergraduate Texts in Philosophy
Inhalt:	xx 539 S.
ISBN-13:	9783030032531
ISBN-10:	3030032531
Sprache:	Englisch
Herstellernummer:	978-3-030-03253-1
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	De Swart, Harrie
Auflage:	1st ed. 2018
Hersteller:	Springer International Publishing Springer Undergraduate Texts in Philosophy
Maße:	241 x 160 x 36 mm
Von/Mit:	Harrie De Swart
Erscheinungsdatum:	10.12.2018
Gewicht:	0,998 kg

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