Philosophical and Mathematical Logic (Springer Undergraduate Texts in Philosophy) by Harrie de Swart (PDF)

Description

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

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I have been privileged to read excellent Logic books. Indeed, there are excellent books available, some already classic, some more recent.Well … 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!Congratulations to Prof. Harrie de Swart and the efficient editors.

⭐I have read quite a few textbooks on different forms of Logic, and I can say none have been as informative and readable as this textbook. Either a textbook covers logic in such a way that it’s ambiguous to intricacies, or there it omits details in some way or another. This textbook, while of course does not cover everything, it is the most explanatory.

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