Intermediate Logic

Author : David Bostock
Publisher : Clarendon Press
Page : 406 pages
File Size : 49,9 Mb
Release : 1997-08-07
Category : Mathematics
ISBN : 9780191567070

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Intermediate Logic by David Bostock Pdf

Intermediate Logic fills a serious gap in the range of university logic texts by offering a clear, reliable, general guide for students taking a second course in logic after completing a basic introduction. It will serve as an ideal follow-up to any of the standard introductory texts, and will give excellent preparation for advanced work in logical theory or applications of logic in philosophy, mathematics, or computing theory. - ;Intermediate Logic is an ideal text for anyone who has taken a first course in logic and is progressing to further study. It examines logical theory, rather than the applications of logic, and does not assume any specific technological grounding. The author introduces and explains each concept and term, ensuring that readers have a firm foundation for study. He provides a broad, deep understanding of logic by adopting and comparing a variety of different methods and approaches. In the first section, Bostock covers such fundamental notions as truth, validity, entailment, quantification, and decision procedures. Part two lays out a definitive introduction to four key logical tools or procedures: semantic tableaux, axiomatic proofs, natural deduction, and sequent calculi. The final section opens up new areas of existence and identity, concluding by moving from orthodox logic to examination of `free logic'. Intermediate Logic provides an ideal secondary course in logic for university students, and a bridge to advanced study of such subjects as model theory, proof theory, and other specialized areas of mathematical logic. -

Author : 3rd Edition,James B. Nance
Publisher : Unknown
Page : 128 pages
File Size : 46,6 Mb
Release : 2014-06-04
Category : Education
ISBN : 1591281687

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Intermediate Logic Teachers Gu by 3rd Edition,James B. Nance Pdf

Whether your students are learning in a brick-and-mortar school or a homeschool or online, you teachers and parents know how important logic is -- but that doesn't make the technical aspects of the subject any easier (in fact the fundamental nature of the subject makes it even more intimidating ). We've painstakingly designed Intermediate Logic with that tension in mind: you'll get the benefit of James B. Nance's twenty years of teaching experience, so mastering logic will be as painless (and rewarding ) as possible for any student. Anybody can learn from Intermediate Logic. The whole series takes advantage of a brand new, clean, easy-to-read layout, lots of margin notes for key points and further study, a step-by-step modern method, and exercises for every lesson (plus review questions and exercises for every unit). More importantly, anybody can teach Intermediate Logic. Here are the features that make the Teacher Edition for Intermediate Logic the obvious choice for educators.

Author : 3rd Edition,James B. Nance
Publisher : Unknown
Page : 128 pages
File Size : 40,8 Mb
Release : 2014-06-04
Category : Education
ISBN : 1591281660

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Intermediate Logic Student Tex by 3rd Edition,James B. Nance Pdf

Studying formal logic can be intimidating without the right help, but knowing how to think logically isn't just for "experts." Logic should be your secret weapon. It's the tool for learning how to use other tools. It's the bones that give a clenched fist its structure (and knuckles). With that in mind, we have painstakingly designed Intermediate Logic for everyday students, teachers, and parents who've never used truth tables or formal proofs of validity to work with syllogisms, but who know just how important and applicable learning logic is. In Intermediate Logic, you'll get the benefit of Jim Nance's twenty years of experience to help you master propositional arguments. Brand new, clean, easy-to-read layout, lots of margin notes for key points and further study, a step-by-step modern method, and exercises for every lesson (plus review questions and review exercises for every unit) all make Intermediate Logic the perfect choice for a logic course.

Author : Philip Peterson
Publisher : Routledge
Page : 294 pages
File Size : 47,8 Mb
Release : 2020-07-24
Category : Language Arts & Disciplines
ISBN : 9781000114096

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Intermediate Quantities by Philip Peterson Pdf

This title was first published in 2000: Intermediate quantifiers express logical quantities which fall between Aristotle's two quantities of categorical propositions - universal and particular. "Few", "many" and "most" express the most commonly referred to intermediate quantifiers, but this book argues that an infinite number can be understood through a deeper examination of the logical nature of all intermediate quantifiers. Presenting and analyzing the logical and linguistic features of intermediate quantifiers, in a fashion typical of traditional logic, Philip L. Peterson presents an account integrating the logic and semantics of intermediate quantifiers with the two traditional quantities by traditional methods. Having introduced the basic idea of how to approach the task in the first chapter, with heavy emphasis on the linguistic meanings and ordinary uses of English intermediate quantifier expressions, Peterson then undertakes the task of completely integrating the three basic intermediate quantities into traditional logic in the following chapter.

Author : George S. Boolos,John P. Burgess,Richard C. Jeffrey
Publisher : Cambridge University Press
Page : 365 pages
File Size : 45,5 Mb
Release : 2007-09-17
Category : Computers
ISBN : 9780521877527

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Computability and Logic by George S. Boolos,John P. Burgess,Richard C. Jeffrey Pdf

This fifth edition of 'Computability and Logic' covers not just the staple topics of an intermediate logic course such as Godel's incompleteness theorems, but also optional topics that include Turing's theory of computability and Ramsey's theorem.

Author : Paul A. Gregory
Publisher : Broadview Press
Page : 400 pages
File Size : 50,7 Mb
Release : 2017-04-30
Category : Philosophy
ISBN : 9781770485945

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Formal Logic by Paul A. Gregory Pdf

Formal Logic is an undergraduate text suitable for introductory, intermediate, and advanced courses in symbolic logic. The book’s nine chapters offer thorough coverage of truth-functional and quantificational logic, as well as the basics of more advanced topics such as set theory and modal logic. Complex ideas are explained in plain language that doesn’t presuppose any background in logic or mathematics, and derivation strategies are illustrated with numerous examples. Translations, tables, trees, natural deduction, and simple meta-proofs are taught through over 400 exercises. A companion website offers supplemental practice software and tutorial videos.

Author : Nathaniel Bluedorn,Hans Bluedorn
Publisher : Christian Logic
Page : 237 pages
File Size : 47,6 Mb
Release : 2023-10-15
Category : Education
ISBN : 9780974531557

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The Thinking Toolbox: Thirty-Five Lessons That Will Build Your Reasoning Skills by Nathaniel Bluedorn,Hans Bluedorn Pdf

Author : Harry J. Gensler
Publisher : Unknown
Page : 342 pages
File Size : 47,9 Mb
Release : 1990
Category : Mathematics
ISBN : UOM:49015002306521

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Symbolic Logic by Harry J. Gensler Pdf

Author : Theodore Sider
Publisher : Oxford University Press
Page : 305 pages
File Size : 44,6 Mb
Release : 2010-01-07
Category : Philosophy
ISBN : 9780192658814

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Logic for Philosophy by Theodore Sider Pdf

Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.

Author : 5th Edition,James B. Nance,Douglas J. Wilson
Publisher : Unknown
Page : 128 pages
File Size : 54,8 Mb
Release : 2014-07-30
Category : Education
ISBN : 1591281652

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Introductory Logic Student Tex by 5th Edition,James B. Nance,Douglas J. Wilson Pdf

Studying formal logic can be intimidating without the right help, but knowing how to think logically isn't just for "experts." Logic should be your secret weapon. It's the tool for learning how to use other tools. It's the bones that give a clenched fist its structure (and knuckles). With that in mind, we have painstakingly designed Introductory Logic for everyday students, teachers, and parents who've never tackled syllogisms or fallacies before, but who know just how important learning logic is. In Introductory Logic, you'll get the benefit of James B. Nance's twenty years of teaching experience as you learn the fundamentals you need to think well wherever you are, including: How to properly define terms for maximum precision and accuracy -- and thus win the debate, How to form and interpret statements, the building blocks of logical thought, How to compose valid syllogisms, and -- just as importantly -- expose the invalid fakes using counterexamples, How to analyze arguments in norm

Author : Johan van Benthem
Publisher : MIT Press
Page : 390 pages
File Size : 42,5 Mb
Release : 1995
Category : Language Arts & Disciplines
ISBN : 0262720248

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Language in Action by Johan van Benthem Pdf

Language in Action demonstrates the viability of mathematical research into the foundations of categorial grammar, a topic at the border between logic and linguistics. Since its initial publication it has become the classic work in the foundations of categorial grammar. A new introduction to this paperback edition updates the open research problems and records relevant results through pointers to the literature. Van Benthem presents the categorial processing of syntax and semantics as a central component in a more general dynamic logic of information flow, in tune with computational developments in artificial intelligence and cognitive science. Using the paradigm of categorial grammar, he describes the substructural logics driving the dynamics of natural language syntax and semantics. This is a general type-theoretic approach that lends itself easily to proof-theoretic and semantic studies in tandem with standard logic. The emphasis is on a broad landscape of substructural categorial logics and their proof-theoretical and semantic peculiarities. This provides a systematic theory for natural language understanding, admitting of significant mathematical results. Moreover, the theory makes possible dynamic interpretations that view natural languages as programming formalisms for various cognitive activities.

Author : Craig DeLancey
Publisher : Open SUNY Textbooks
Page : 128 pages
File Size : 42,5 Mb
Release : 2017-02-06
Category : Electronic
ISBN : 1942341431

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A Concise Introduction to Logic by Craig DeLancey Pdf

Author : James B. Nance
Publisher : Unknown
Page : 164 pages
File Size : 55,8 Mb
Release : 1996
Category : Juvenile Nonfiction
ISBN : 1885767137

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Intermediate Logic by James B. Nance Pdf

Logic has been defined both as the science and the art of correct reasoning. People who study different sciences observe a variety of things: biologists observe living organisms, astronomers observe the heavens, and so on. From their observations they seek to discover natural laws by which God governs his creation. The person who studies logic as a science observes the mind as it reasons -- as it draws conclusions from premises -- and from those observations discovers laws of reasoning which God has placed in the minds of people. Specifically, he seeks to discover the principles or laws which may be used to distinguish good reasoning from poor reasoning. In deductive logic, good reasoning is valid reasoning -- in which the conclusions follow necessarily from the premises. Logic as a science discovers the principles of valid and invalid reasoning. - Introduction.

Author : Peter Smith
Publisher : Cambridge University Press
Page : 370 pages
File Size : 54,6 Mb
Release : 2003-11-06
Category : Mathematics
ISBN : 0521008042

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An Introduction to Formal Logic by Peter Smith Pdf

Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.

Author : Dov M. Gabbay
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 54,6 Mb
Release : 2013-11-11
Category : Philosophy
ISBN : 9789401729772

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Semantical Investigations in Heyting's Intuitionistic Logic by Dov M. Gabbay Pdf

From the point of view of non-classical logics, Heyting's implication is the smallest implication for which the deduction theorem holds. This book studies properties of logical systems having some of the classical connectives and implication in the neighbourhood of Heyt ing's implication. I have not included anything on entailment, al though it belongs to this neighbourhood, mainly because of the appearance of the Anderson-Belnap book on entailment. In the later chapters of this book, I have included material that might be of interest to the intuitionist mathematician. Originally, I intended to include more material in that spirit but I decided against it. There is no coherent body of material to include that builds naturally on the present book. There are some serious results on topological models, second order Beth and Kripke models, theories of types, etc., but it would require further research to be able to present a general theory, possibly using sheaves. That would have postponed pUblication for too long. I would like to dedicate this book to my colleagues, Professors G. Kreisel, M.O. Rabin and D. Scott. I have benefited greatly from Professor Kreisel's criticism and suggestions. Professor Rabin's fun damental results on decidability and undecidability provided the powerful tools used in obtaining the majority of the results reported in this book. Professor Scott's approach to non-classical logics and especially his analysis of the Scott consequence relation makes it possible to present Heyting's logic as a beautiful, integral part of non-classical logics.