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304 pages

Foundations Without Foundationalism, A Case for Second-Order Logic

Creator: Stewart Shapiro | Mathematics - 2000-05-18

Foundations without Foundationalism is a key contribution both to philosophy of mathematics and to mathematical logic. 'In this excellent treatise Shapiro defends the use of second-order languages and logic as framework for mathematics.

Publisher: Oxford University Press, USA

About this book
Stewart Shapiro presents a distinctive and persuasive view of the foundations of mathematics, arguing controversially that second-order logic has a central role to play in laying these foundations. To support this contention, he first gives a detailed development of second-order andhigher-order logic, in a way that will be accessible to graduate students. He then demonstrates that second-order notions are prevalent in mathematics as practised, and that higher-order logic is needed to codify many contemporary mathematical concepts. Throughout, he emphasizes philosophical andhistorical issues that the subject raises. Foundations without Foundationalism is a key contribution both to philosophy of mathematics and to mathematical logic. 'In this excellent treatise Shapiro defends the use of second-order languages and logic as framework for mathematics. His coverage of the wide range of logical and philosophical topics required for understanding the controversy over second-order logic is thorough, clear, and persuasive. . . .Shapiro recognizes that it is unlikely that he has had the last word on these controversial philosophical subjects. Nevertheless, his book is certainly an excellent place to start work on them.' Michael D. Resnik, History and Philosophy of Logic



626 pages

Computer Science Logic, 20th International Workshop, CSL 2006, 15th Annual Conference of the EACSL, Szeged, Hungary, September 25-29, 2006 : Proceedings

Creator: European Association for Computer Science Logic. Conference | 2006-11-13

The stable of the operators Da and Dt define the semantics of extensions (in )f default logic, proposed originally by Reiter, in the case of autoepis- ic the concept was not identified until algebraic considerations in [15] t).

Publisher: Springer Verlag

About this book
This book constitutes the refereed proceedings of the 20th International Workshop on Computer Science Logic, CSL 2006, held as the 15th Annual Conference of the EACSL in Szeged, Hungary in September 2006. The 37 revised full papers presented together with 4 invited contributions were carefully reviewed and selected from 132 submissions. All current aspects of logic in computer science are addressed, including automated deduction and interactive theorem proving, constructive mathematics and type theory, equational logic and term rewriting, automata and formal logics, modal and temporal logic, model checking, logical aspects of computational complexity, finite model theory, computational proof theory, logic programming and constraints, lambda calculus and combinatory logic, categorical logic and topological semantics, domain theory, database theory, specification, extraction and transformation of programs, logical foundations of programming paradigms, verification of security protocols, linear logic, higher-order logic, nonmonotonic reasoning, as well as logics and type systems for biology.



310 pages

Handbook of Philosophical Logic

Creator: Dov M. Gabbay | 2010-12-29

To understand what (K°3)-(K°5) say, two cases need to be considered: Case 1: KL) (p) is consistent. ... The particular way of writing the postulates given above makes use of technical properties of classical logic (the way inconsistent ...

Publisher: Springer-Verlag New York Incorporated

About this book
This book is indispensable to any advanced student or researcher using logic in these areas. The chapters are comprehensive and written by major figures in the field. Topics include, Belief Revision, Refutation Systems in Propositional Logic, Quantifier Scope in Formal Linguistics and Non-deterministic Semantics for Logical Systems.


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    Rating (0 reviews):
    (4.4/5)
    Case Logic

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    Recommended for Seagate 1TB Portable - won't fit

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    Great case but beware of SIZE!!!

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Camera and Photo Accessories


Gift Ideas

Pretzel Logic iPhone 4 Savvy Case iPhone 4/4S Cover

purple, fuchsia, green, geometric, pink, pattern,
Savvy iPhone 4 hardshell case design from "Pretzel Logic," an Apophysis fractal by Susan Wallace. Copyright © 2008, Susan Wallace. An array of tri-lobed shapes in shades of purple, fuchsia and green repeat endlessly in this lively abstract design.
Price: $$37.95

Pretzel Logic iPad Air Case

purple, fuchsia, green, geometric, pink, pattern,
iPad Air case design from "Pretzel Logic," an Apophysis fractal by Susan Wallace. Copyright © 2008, Susan Wallace. An array of tri-lobed shapes in shades of purple, fuchsia and green repeat endlessly in this lively abstract design.
Price: $$73.95


Bacon Logic with Bacon Tough iPhone 6 Case

bacon, humor, logic
Who doesn't love bacon and rationalizations?
Price: $$47.95

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