An Introduction to Metalogic PDF Download
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Author: Aladdin M. Yaqub
Publisher: Broadview Press
ISBN: 1460402448
Category : Philosophy
Languages : en
Pages : 346
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Book Description
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.
Author: Aladdin M. Yaqub
Publisher: Broadview Press
ISBN: 1460402448
Category : Philosophy
Languages : en
Pages : 346
Get Book Here
Book Description
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.
Author: Geoffrey Hunter
Publisher: Univ of California Press
ISBN: 9780520023567
Category : Mathematics
Languages : en
Pages : 306
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Book Description
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.
Author: Richard Zach
Publisher:
ISBN:
Category :
Languages : en
Pages : 418
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Book Description
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.
Author: Geoffrey Hunter
Publisher:
ISBN:
Category :
Languages : en
Pages : 288
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Book Description
Author: Alfred Tarski
Publisher: Courier Corporation
ISBN: 0486318893
Category : Mathematics
Languages : en
Pages : 271
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Book Description
This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.
Author: Aladdin M. Yaqub
Publisher: Broadview Press
ISBN: 1770483810
Category : Philosophy
Languages : en
Pages : 346
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Book Description
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.
Author: Patrick Suppes
Publisher: Courier Corporation
ISBN: 0486138054
Category : Mathematics
Languages : en
Pages : 340
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Book Description
Part I of this coherent, well-organized text deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Ideal for undergraduates.
Author: Theodore Sider
Publisher: Oxford University Press
ISBN: 0192658816
Category : Philosophy
Languages : en
Pages : 305
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Book Description
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:
Publisher:
ISBN: 9781077322127
Category :
Languages : en
Pages : 368
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Book Description
Author: Aladdin M. Yaqub
Publisher: Broadview Press
ISBN: 1551119935
Category : Philosophy
Languages : en
Pages : 438
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Book Description
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.
