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A Short History of Logic

A Short History of Logic
Author: Robert Adamson
Publisher:
Total Pages: 358
Release: 1911
Genre: Philosophy
ISBN:

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A Short History of Logic by William Ritchie Sorley, first published in 1911, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it.


A Short History of Logic

A Short History of Logic
Author: Robert Adamson
Publisher:
Total Pages:
Release: 1970
Genre:
ISBN:

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The Evolution of Logic

The Evolution of Logic
Author: W. D. Hart
Publisher: Cambridge University Press
Total Pages:
Release: 2010-08-23
Genre: Philosophy
ISBN: 1139491202

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Examines the relations between logic and philosophy over the last 150 years. Logic underwent a major renaissance beginning in the nineteenth century. Cantor almost tamed the infinite, and Frege aimed to undercut Kant by reducing mathematics to logic. These achievements were threatened by the paradoxes, like Russell's. This ferment generated excellent philosophy (and mathematics) by excellent philosophers (and mathematicians) up to World War II. This book provides a selective, critical history of the collaboration between logic and philosophy during this period. After World War II, mathematical logic became a recognized subdiscipline in mathematics departments, and consequently but unfortunately philosophers have lost touch with its monuments. This book aims to make four of them (consistency and independence of the continuum hypothesis, Post's problem, and Morley's theorem) more accessible to philosophers, making available the tools necessary for modern scholars of philosophy to renew a productive dialogue between logic and philosophy.


A Short History of Logic

A Short History of Logic
Author: Robert Adamson
Publisher:
Total Pages: 284
Release: 1911
Genre: Logic
ISBN:

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A Short History of Logic

A Short History of Logic
Author: R. Adamson
Publisher:
Total Pages: 0
Release: 1901
Genre:
ISBN:

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A Short History of Logic

A Short History of Logic
Author: R. Adamson
Publisher:
Total Pages:
Release: 1901
Genre:
ISBN:

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Concise Guide to Formal Methods

Concise Guide to Formal Methods
Author: Gerard O'Regan
Publisher: Springer
Total Pages: 336
Release: 2017-08-08
Genre: Mathematics
ISBN: 3319640216

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This invaluable textbook/reference provides an easy-to-read guide to the fundamentals of formal methods, highlighting the rich applications of formal methods across a diverse range of areas of computing. Topics and features: introduces the key concepts in software engineering, software reliability and dependability, formal methods, and discrete mathematics; presents a short history of logic, from Aristotle’s syllogistic logic and the logic of the Stoics, through Boole’s symbolic logic, to Frege’s work on predicate logic; covers propositional and predicate logic, as well as more advanced topics such as fuzzy logic, temporal logic, intuitionistic logic, undefined values, and the applications of logic to AI; examines the Z specification language, the Vienna Development Method (VDM) and Irish School of VDM, and the unified modelling language (UML); discusses Dijkstra’s calculus of weakest preconditions, Hoare’s axiomatic semantics of programming languages, and the classical approach of Parnas and his tabular expressions; provides coverage of automata theory, probability and statistics, model checking, and the nature of proof and theorem proving; reviews a selection of tools available to support the formal methodist, and considers the transfer of formal methods to industry; includes review questions and highlights key topics in every chapter, and supplies a helpful glossary at the end of the book. This stimulating guide provides a broad and accessible overview of formal methods for students of computer science and mathematics curious as to how formal methods are applied to the field of computing.


The Development of Logic

The Development of Logic
Author: William Calvert Kneale
Publisher:
Total Pages: 783
Release: 1978
Genre: Logic
ISBN:

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This book traces the development of formal logic from its origins in ancient Greece to the present day. The authors first discuss the work of logicians from Aristotle to Frege, showing how they were influenced by the philosophical or mathematical ideas of their time.


From Frege to Gödel

From Frege to Gödel
Author: Jean van Heijenoort
Publisher: Harvard University Press
Total Pages: 684
Release: 1967
Genre: Mathematics
ISBN: 9780674324497

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Gathered together here are the fundamental texts of the great classical period in modern logic. A complete translation of Gottlob Frege’s Begriffsschrift—which opened a great epoch in the history of logic by fully presenting propositional calculus and quantification theory—begins the volume, which concludes with papers by Herbrand and by Gödel.


The History of Philosophical and Formal Logic

The History of Philosophical and Formal Logic
Author: Alex Malpass
Publisher: Bloomsbury Publishing
Total Pages: 333
Release: 2017-06-29
Genre: Philosophy
ISBN: 1472507177

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The History of Philosophical and Formal Logic introduces ideas and thinkers central to the development of philosophical and formal logic. From its Aristotelian origins to the present-day arguments, logic is broken down into four main time periods: Antiquity and the Middle Ages (Aristotle and The Stoics) The early modern period (Bolzano, Boole) High modern period (Frege, Peano & Russell and Hilbert) Early 20th century (Godel and Tarski) Each new time frame begins with an introductory overview highlighting themes and points of importance. Chapters discuss the significance and reception of influential works and look at historical arguments in the context of contemporary debates. To support independent study, comprehensive lists of primary and secondary reading are included at the end of chapters, along with exercises and discussion questions. By clearly presenting and explaining the changes to logic across the history of philosophy, The History of Philosophical and Formal Logic constructs an easy-to-follow narrative. This is an ideal starting point for students looking to understand the historical development of logic.