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300 pages

Foundations without Foundationalism : A Case for Second-Order Logic, A Case for Second-Order Logic

Creator: Stewart Shapiro | Mathematics - 1991-09-19

The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics.

Publisher: Clarendon Press

About this book
The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed development of higher-order logic, including a comprehensive discussion of its semantics. Professor Shapiro demonstrates the prevalence of second-order notions in mathematics is practised, and also the extent to which mathematical concepts can be formulated in second-order languages . He shows how first-order languages are insufficient to codify many concepts in contemporary mathematics, and thus that higher-order logic is needed to fully reflect current mathematics. Throughout, the emphasis is on discussing the philosophical and historical issues associated with this subject, and the implications that they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic as might be gained from a beginning graduate course which includes the incompleteness of arithmetic and the Lowenheim-Skolem theorems. All those concerned with the foundations of mathematics will find this a thought-provoking discussion of some of the central issues in this subject.



541 pages

An Invitation to Law and Social Science

Creator: Richard O. Lempert, Joseph Sanders | Law - 1989-01-01

In Chapter 4, we developed two ideal typical ways in which cases may be decided — by a shallow or a deep case logic. Sometimes the choice of a case logic may be quite purposive. As we shall see in Chapter 8. a court may adopt a shallow ...

Publisher: University of Pennsylvania Press

About this book
This innovative work treats law as the set of rules governing how people should act in society, and it demonstrates how the legal system attempts to deter antisocial behavior. Comprised of three sections. the book explores different ways in which law decides issues of responsibility, how cases are adjudicated, and theories of distributive justice and social change. Distinguished by its problem-oriented, topical perspective, An Invitation to Law and Social Science serves as an invaluable book for course in law and society, legal process, and the sociology of law.



335 pages

Answering Atheism, How to Make the Case for God with Logic and Charity

Creator: Trent Horn | Religion - 2013-09-01

In Answering Atheism, Trent Horn responds with a fresh and useful resource for the God debate, based on reason, common sense, and more importantly, a charitable approach that respects atheists' sincerity and good will, making this book ...

Publisher: Catholic Answers

About this book
Today's New Atheists don't just deny God's existence (as the old atheists did) - they consider it their duty to scorn and ridicule religious belief. We don't need new answers for this aggressive modern strain of unbelief: We need a new approach. In Answering Atheism, Trent Horn responds with a fresh and useful resource for the God debate, based on reason, common sense, and more importantly, a charitable approach that respects atheists' sincerity and good will, making this book suitable not just for believers but for skeptics and seekers too. Meticulously researched, and street-tested in Horn's work as a pro-God apologist, it tackles all the major issues of the debate, including: -Reconciling human evil and suffering with the existence of a loving, all-powerful God -Whether the empirical sciences have eliminated the need for God, or in fact point to him -How atheists usually deny moral laws (and thus a moral lawgiver) in theory


Camera and Photo Accessories Directory

Camera Bags - Case Logic - Case Logic
At Case Logic we started out providing the best CD Cases & DVD Cases around. With so many electronics today we now offer protection for all devices including laptops ...

Case Logic | Thule Group
Founded in 1984 in Colorado, USA, Case Logic is a global leader in bags and cases for technology gear. Case Logic balances performance and style – for a mobile life ...

Camera Bags | Tablet Cases | Laptop Cases - Case Logic
At Case Logic we started out providing the best CD Cases & DVD Cases around. With so many electronics today we now offer protection for all devices including laptops ...

Amazon.com: Case Logic PHDC-1 Compact Portable Hard Drive ...
Amazon.com: Case Logic PHDC-1 Compact Portable Hard Drive Case (Black): Computers & Accessories

Case Logic at Amazon.com
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Editor's picks

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Camera and Photo Accessories


Gift Ideas

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United Cor Wood Bumper Phone Case

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Bright vibrant puzzle pieces puzzled design barely there iPhone 6 case

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A IS A Ayn Rand iPhone 4 Case

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