Carrinho de Compras

Seu carrinho está vazio no momento.

Carrinho de Compras

Seu carrinho está vazio no momento.

Philosophical and Mathematical Logic

Harrie de Swart (Autor)

Springer Nature B.V. (Editora)

R$ 298,10
SKU: 9783030032531
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!

Sobre o Livro

Introdução acessível aos conceitos centrais da lógica, com tratamento de lógica proposicional, modal e intuicionista e ênfase em condicionais material, estrita e relevante. O texto inclui panorama histórico que menciona Boole, De Morgan e Frege como marcos na origem da lógica moderna.

Capítulos sobre conjuntos finitos e infinitos, lógica de predicados e aritmética conduzem ao enunciado e às implicações dos teoremas de incompletude de Gödel. Há atenção a aplicações formais de condicionalidade, contrapositivos e implicaturas conversacionais.

Aplicações práticas aparecem em disciplinas computacionais e sociais, com tratamentos de Prolog, bancos relacionais e SQL, além de teoria da escolha social como o julgamento por maioria. Cada capítulo traz exercícios acompanhados das respectivas respostas.

Características

Categoria Filosofia
Subcategoria Lógica
Autores Harrie de Swart
Sobre o Autor Harrie de Swart é autor do livro e trabalha com temas de lógica e suas interseções com filosofia e ciência da computação.
Idioma Inglês
Quantidade de Páginas 560
Acabamento Capa dura
Editora Springer Nature B.V.
ISBN 9783030032531
Tamanho 15.6x23.4
//internacional.umlivro.com.br/cdn/shop/t/4/assets/wishlist.js?v=117459665672360049951765476847
Translation missing: pt-BR.general.search.loading