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Author : Harold Robert Smart
Release : 1925
Genre : Logic, Symbolic and mathematical
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Philosophical Presuppositions of Mathematical Logic by : Harold Robert Smart
Download or read book The Philosophical Presuppositions of Mathematical Logic written by Harold Robert Smart. This book was released on 1925. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold R.. Smart
Release : 1925
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Philosophical Presuppositions of Mathematical Logic by : Harold R.. Smart
Download or read book The Philosophical Presuppositions of Mathematical Logic written by Harold R.. Smart. This book was released on 1925. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold Robert Smart
Release : 1925
Genre : Logic, Symbolic and mathematical
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Philosophical Presuppositions of Mathematical Logic by : Harold Robert Smart
Download or read book The Philosophical Presuppositions of Mathematical Logic written by Harold Robert Smart. This book was released on 1925. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harrie de Swart
Release : 2018-11-28
Genre : Philosophy
Kind : eBook
Book Rating : 558/5 ( reviews)
Book Synopsis Philosophical and Mathematical Logic by : Harrie de Swart
Download or read book Philosophical and Mathematical Logic written by Harrie de Swart. This book was released on 2018-11-28. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Richmond H. Thomason
Release : 2012-12-06
Genre : Philosophy
Kind : eBook
Book Rating : 488/5 ( reviews)
Book Synopsis Philosophical Logic and Artificial Intelligence by : Richmond H. Thomason
Download or read book Philosophical Logic and Artificial Intelligence written by Richmond H. Thomason. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: cians concerned with using logical tools in philosophy have been keenly aware of the limitations that arise from the original con centration of symbolic logic on the idiom of mathematics, and many of them have worked to create extensions of the received logical theories that would make them more generally applicable in philosophy. Carnap's Testability and Meaning, published in 1936 and 1937, was a good early example of this sort of research, motivated by the inadequacy of first-order formalizations of dis 'This sugar cube is soluble in water'. positional sentences like And in fact there is a continuous history of work on this topic, extending from Carnap's paper to Shoham's contribution to the present volume . . Much of the work in philosophical logic, and much of what has appeared in The Journal of Philosophical Logic, was mo tivated by similar considerations: work in modal logic (includ ing tense, deontic, and epistemic logic), intensional logics, non declaratives, presuppositions, and many other topics. In this sort of research, sin.ce the main point is to devise new formalisms, the technical development tends to be rather shallow in comparison with mathematical logic, though it is sel dom absent: theorems need to be proved in order to justify the formalisms, and sometimes these are nontrivial. On the other hand, much effort has to go into motivating a logical innovation.
