An Introduction To Metalogic
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An Introduction To Metalogic
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Author : Aladdin M. Yaqub
language : en
Publisher: Broadview Press
Release Date : 2014-10-24
An Introduction To Metalogic written by Aladdin M. Yaqub and has been published by Broadview Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-24 with Philosophy categories.
An Introduction to Metalogic is a uniquely accessible introduction to the metatheory of first-order predicate logic. No background knowledge of logic is presupposed, as the book is entirely self-contained and clearly defines all of the technical terms it employs. Yaqub begins with an introduction to predicate logic and ends with detailed outlines of the proofs of the incompleteness, undecidability, and indefinability theorems, covering many related topics in between.
Metalogic
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Author : Geoffrey Hunter
language : en
Publisher: Univ of California Press
Release Date : 1973-06-26
Metalogic written by Geoffrey Hunter and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-06-26 with Mathematics categories.
This work makes available to readers without specialized training in mathematics complete proofs of the fundamental metatheorems of standard (i.e., basically truth-functional) first order logic. Included is a complete proof, accessible to non-mathematicians, of the undecidability of first order logic, the most important fact about logic to emerge from the work of the last half-century. Hunter explains concepts of mathematics and set theory along the way for the benefit of non-mathematicians. He also provides ample exercises with comprehensive answers.
An Introduction To Metalogic
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Author : Aladdin M. Yaqub
language : en
Publisher: Broadview Press
Release Date : 2014-10-24
An Introduction To Metalogic written by Aladdin M. Yaqub and has been published by Broadview Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-24 with Philosophy categories.
An Introduction to Metalogic is a uniquely accessible introduction to the metatheory of first-order predicate logic. No background knowledge of logic is presupposed, as the book is entirely self-contained and clearly defines all of the technical terms it employs. Yaqub begins with an introduction to predicate logic and ends with detailed outlines of the proofs of the incompleteness, undecidability, and indefinability theorems, covering many related topics in between.
Sets Logic Computation
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Author :
language : en
Publisher:
Release Date : 2019
Sets Logic Computation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
An Introduction To Logical Theory
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Author : Aladdin M. Yaqub
language : en
Publisher: Broadview Press
Release Date : 2013-03-22
An Introduction To Logical Theory written by Aladdin M. Yaqub and has been published by Broadview Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-22 with Philosophy categories.
This book reclaims logic as a branch of philosophy, offering a self-contained and complete introduction to the three traditional systems of classical logic (term, sentence, and predicate logic) and the philosophical issues that surround those systems. The exposition is lucid, clear, and engaging. Practical methods are favored over the traditional, and creative approaches over the merely mechanical. The author’s guiding principle is to introduce classical logic in an intellectually honest way, and not to shy away from difficulties and controversies where they arise. Relevant philosophical issues, such as the relation between the meaning and the referent of a proper name, logical versus metaphysical possibility, and the conceptual content of an expression, are discussed throughout. In this way, the book is not only an introduction to the three main systems of classical logic, but also an introduction to the philosophy of classical logic.
Sets Logic Computation
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Author : Richard Zach
language : en
Publisher:
Release Date : 2021-07-13
Sets Logic Computation written by Richard Zach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-13 with categories.
A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.
Introduction To Metalogic
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Author : Imre Ruzsa
language : en
Publisher:
Release Date : 1997
Introduction To Metalogic written by Imre Ruzsa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with First-order logic categories.
Logic With Trees
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Author : Colin Howson
language : en
Publisher: Routledge
Release Date : 2005-10-11
Logic With Trees written by Colin Howson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-11 with Philosophy categories.
Logic With Trees is a new and original introduction to modern formal logic. Unlike most texts, it also contains discussions on more philosophical issues such as truth, conditionals and modal logic. It presents the formal material with clarity, preferring informal explanations and arguments to intimidatingly rigorous development. Worked examples and excercises enable the readers to check their progress. Logic With Trees equips students with * a complete and clear account of the truth-tree system for first order logic * the importance of logic and its relevance to many different disciplines * the skills to grasp sophisticated formal reasoning techniques necessary to explore complex metalogic * the ability to contest claims that `ordinary' reasoning is well represented by formal first order logic The issues covered include a thorough discussion of truth-functional and full first order logic, using the truth-tree or semantic tableau approach. Completeness and Soundness proofs are given for both truth-functional and first order trees. Much use is made of induction, which is presented in a clear and consistent manner. There is also discussion of alternative deductive systems, an introduction to transfinite numbers and categoricity, the Lowenhein-Skolem theories and the celebrated findings of Godel and Church. The book concludes with an account of Kripke's attempted solution of the liar paradox and a discussion of the weakness of truth-functional account of conditionals. Particularly useful to those who favour critical accounts of formal reasoning, it will be of interest to students of philosophy at first level and beyond and also students of mathematics and computer science.
Logic For Philosophy
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Author : Theodore Sider
language : en
Publisher: Oxford University Press
Release Date : 2010-01-07
Logic For Philosophy written by Theodore Sider and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-07 with Philosophy categories.
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.
Elementary Logic
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Author : Brian Garrett
language : en
Publisher: Routledge
Release Date : 2014-09-12
Elementary Logic written by Brian Garrett and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-12 with Philosophy categories.
Elementary Logic explains what logic is, how it is done, and why it can be exciting. The book covers the central part of logic that all students have to learn: propositional logic. It aims to provide a crystal-clear introduction to what is often regarded as the most technically difficult area in philosophy. The book opens with an explanation of what logic is and how it is constructed. Subsequent chapters take the reader step-by-step through all aspects of elementary logic. Throughout, ideas are explained simply and directly, with the chapters packed with overviews, illustrative examples, and summaries. Each chapter builds on previous explanation and example, with the final chapters presenting more advanced methods. After a discussion of meta-logic and logical systems, the book closes with an exploration of how paradoxes can exist in the world of logic. Elementary Logic's clarity and engagement make it ideal for any reader studying logic for the first time.