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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: Geoffrey Hunter
Publisher: Univ of California Press
ISBN: 9780520023567
Category : Mathematics
Languages : en
Pages : 306
Get Book
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:
Publisher: PediaPress
ISBN:
Category :
Languages : en
Pages : 203
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Book Description
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: Aladdin M. Yaqub
Publisher: Broadview Press
ISBN: 1554811716
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: 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: Imre Ruzsa
Publisher:
ISBN:
Category : First-order logic
Languages : en
Pages : 200
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Book Description
Author: Gabriele M. Mras
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110657880
Category : Philosophy
Languages : en
Pages : 559
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Book Description
This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism. The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.
Author: Douglas Dunsmore Daye
Publisher:
ISBN:
Category : Buddhist logic
Languages : en
Pages : 454
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Book Description
Author: John T. O'Donnell
Publisher: Springer Science & Business Media
ISBN: 144713236X
Category : Computers
Languages : en
Pages : 297
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Book Description
The Functional Programming Group at the University of Glasgow was started in 1986 by John Hughes and Mary Sheeran. Since then it has grown in size and strength, becoming one of the largest computing science research groups at Glasgow and earning an international reputation. The first Glasgow Functional Programming Workshop was organised in the summer of 1988. Its purpose was threefold: to provide a snapshot of all the research going on within the group, to share research ideas between Glaswegians and colleagues in the U.K. and abroad, and to introduce research students to the art of writing and presenting papers at a semi-formal (but still local and friendly) conference. The success of the first workshop has led to an annual series: Rothesay (1988), Fraserburgh (1989), Ullapool (1990). Portree (1991), Ayr (1992), and the workshop reported in these proceedings: Ayr (1993). Most participants wrote a paper that appeared in the draft proceedings (distributed at the workshop), and each draft paper was presented by one of the authors. The papers were all refereed by several other participants at the workshop, both internal and external, and the programme committee selected papers for these proceedings. Most papers have been revised twice, based firstly on feedback at the workshop, and secondly using the referee reports.
Author: Theodore Sider
Publisher: Oxford University Press, USA
ISBN: 0199575592
Category : Logic
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 dophilosophy.
