Lectures on Logic

Lectures on Logic

Author: Immanuel Kant

Publisher: Cambridge University Press

Published: 2004-09-13

Total Pages: 740

ISBN-13: 9780521546911

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Table of contents


Popular Lectures on Mathematical Logic

Popular Lectures on Mathematical Logic

Author: Hao Wang

Publisher: Courier Corporation

Published: 2014-09-22

Total Pages: 290

ISBN-13: 0486171043

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Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.


Pragmatic Logic

Pragmatic Logic

Author: William J. Eccles

Publisher: Morgan & Claypool Publishers

Published: 2007-06-01

Total Pages: 220

ISBN-13: 1598291939

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Pragmatic Logic presents the analysis and design of digital logic systems. The author begins with a brief study of binary and hexadecimal number systems and then looks at the basics of Boolean algebra. The study of logic circuits is divided into two parts, combinational logic, which has no memory, and sequential logic, which does. Numerous examples highlight the principles being presented. The text ends with an introduction to digital logic design using Verilog, a hardware description language. The chapter on Verilog can be studied along with the other chapters in the text. After the reader has completed combinational logic in Chapters 4 and 5, sections 9.1 and 9.2 would be appropriate. Similarly, the rest of Chapter 9 could be studied after completing sequential logic in Chapters 6 and 7. This short lecture book will be of use to students at any level of electrical or computer engineering and for practicing engineers or scientists in any field looking for a practical and applied introduction to digital logic. The author's "pragmatic" and applied style gives a unique and helpful "non-idealist, practical, opinionated" introduction to digital systems.


Reasoning and the Logic of Things

Reasoning and the Logic of Things

Author: Charles Sanders Peirce

Publisher: Harvard University Press

Published: 1992

Total Pages: 318

ISBN-13: 9780674749672

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Charles Sanders Peirce (1839-1914) was an American philosopher, physicist, mathematician and founder of pragmatism. This book provides readers with philosopher's only known, complete account of his own work. It comprises a series of lectures given in Cambridge, Massachusetts in 1898.


Introduction to Logic, Second Edition

Introduction to Logic, Second Edition

Author: Genesereth Michael

Publisher: Springer Nature

Published: 2013-08-16

Total Pages: 155

ISBN-13: 3031017994

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This book is a gentle but rigorous introduction to Formal Logic. It is intended primarily for use at the college level. However, it can also be used for advanced secondary school students, and it can be used at the start of graduate school for those who have not yet seen the material. The approach to teaching logic used here emerged from more than 20 years of teaching logic to students at Stanford University and from teaching logic to tens of thousands of others via online courses on the World Wide Web. The approach differs from that taken by other books in logic in two essential ways, one having to do with content, the other with form. Like many other books on logic, this one covers logical syntax and semantics and proof theory plus induction. However, unlike other books, this book begins with Herbrand semantics rather than the more traditional Tarskian semantics. This approach makes the material considerably easier for students to understand and leaves them with a deeper understanding of what logic is all about. In addition to this text, there are online exercises (with automated grading), online logic tools and applications, online videos of lectures, and an online forum for discussion. They are available at logic.stanford.edu/intrologic/


Hegel's Science of Logic

Hegel's Science of Logic

Author: Richard Dien Winfield

Publisher: Rowman & Littlefield Publishers

Published: 2012-10-27

Total Pages: 389

ISBN-13: 144221936X

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This text provides a truly comprehensive guide to one of the most important and challenging works of modern philosophy. The systematic complexity of Hegel's radical project in the Science of Logic prevents many from understanding and appreciating its value. By independently and critically working through Hegel's argument, this book offers an enlightening aid for study and anchors the Science of Logic at a central position in the philosophical canon.


Concept and Judgment in Brentano's Logic Lectures

Concept and Judgment in Brentano's Logic Lectures

Author: Robin D. Rollinger

Publisher: BRILL

Published: 2020-11-16

Total Pages: 396

ISBN-13: 9004443037

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Concept and Judgment in Brentano's Logic Lectures provides an analysis of an important feature of Brentano's philosophy in the 19th century. Relevant materials in both German and English are also included in the volume.


Lectures on the Curry-Howard Isomorphism

Lectures on the Curry-Howard Isomorphism

Author: Morten Heine Sørensen

Publisher: Elsevier

Published: 2006-07-04

Total Pages: 457

ISBN-13: 0080478921

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The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance,minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic types, sequent calculus is related to explicit substitution, etc.The isomorphism has many aspects, even at the syntactic level:formulas correspond to types, proofs correspond to terms, provability corresponds to inhabitation, proof normalization corresponds to term reduction, etc.But there is more to the isomorphism than this. For instance, it is an old idea---due to Brouwer, Kolmogorov, and Heyting---that a constructive proof of an implication is a procedure that transformsproofs of the antecedent into proofs of the succedent; the Curry-Howard isomorphism gives syntactic representations of such procedures. The Curry-Howard isomorphism also provides theoretical foundations for many modern proof-assistant systems (e.g. Coq).This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic.Key features- The Curry-Howard Isomorphism treated as common theme- Reader-friendly introduction to two complementary subjects: Lambda-calculus and constructive logics- Thorough study of the connection between calculi and logics- Elaborate study of classical logics and control operators- Account of dialogue games for classical and intuitionistic logic- Theoretical foundations of computer-assisted reasoning· The Curry-Howard Isomorphism treated as the common theme.· Reader-friendly introduction to two complementary subjects: lambda-calculus and constructive logics · Thorough study of the connection between calculi and logics.· Elaborate study of classical logics and control operators.· Account of dialogue games for classical and intuitionistic logic.· Theoretical foundations of computer-assisted reasoning