The Semantic Foundations Of Logic

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The Semantic Foundations Of Logic Volume 1 Propositional Logics

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Author : R.L. Epstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

The Semantic Foundations Of Logic Volume 1 Propositional Logics written by R.L. Epstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Philosophy categories.

This book grew out of my confusion. If logic is objective how can there be so many logics? Is there one right logic, or many right ones? Is there some underlying unity that connects them? What is the significance of the mathematical theorems about logic which I've learned if they have no connection to our everyday reasoning? The answers I propose revolve around the perception that what one pays attention to in reasoning determines which logic is appropriate. The act of abstracting from our reasoning in our usual language is the stepping stone from reasoned argument to logic. We cannot take this step alone, for we reason together: logic is reasoning which has some objective value. For you to understand my answers, or perhaps better, conjectures, I have retraced my steps: from the concrete to the abstract, from examples, to general theory, to further confirming examples, to reflections on the significance of the work.

The Semantic Foundations Of Logic

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Author : Richard L. Epstein
language : en
Publisher:
Release Date : 1994

The Semantic Foundations Of Logic written by Richard L. Epstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with French language categories.

Classical Mathematical Logic

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Author : Richard L. Epstein
language : en
Publisher: Princeton University Press
Release Date : 2006-07-23

Classical Mathematical Logic written by Richard L. Epstein and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-23 with Mathematics categories.

In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real numbers and Euclidean plane geometry. The scope and limitations of modern logic are made clear in these formalizations. The book provides detailed explanations of all proofs and the insights behind the proofs, as well as detailed and nontrivial examples and problems. The book has more than 550 exercises. It can be used in advanced undergraduate or graduate courses and for self-study and reference. Classical Mathematical Logic presents a unified treatment of material that until now has been available only by consulting many different books and research articles, written with various notation systems and axiomatizations.

Propositional Logics

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Author : Richard L. Epstein
language : en
Publisher: Wadsworth Publishing Company
Release Date : 2001

Propositional Logics written by Richard L. Epstein and has been published by Wadsworth Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Logic categories.

This book is a survey and overview of the major systems of propositional logics, answering the question, "If logic is the right way to reason, why are there so many logics?" Each system is presented both formally and with philosophical motivation in Epstein's renowned clear style.

The Semantic Foundations Of Logic Predicate Logic

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Author : Richard L. Epstein
language : en
Publisher:
Release Date : 1994

The Semantic Foundations Of Logic Predicate Logic written by Richard L. Epstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with French language categories.

Mathematical Aspects Of Logic Programming Semantics

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Author : Pascal Hitzler
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Mathematical Aspects Of Logic Programming Semantics written by Pascal Hitzler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Computers categories.

Covering the authors' own state-of-the-art research results, this book presents a rigorous, modern account of the mathematical methods and tools required for the semantic analysis of logic programs. It significantly extends the tools and methods from traditional order theory to include nonconventional methods from mathematical analysis that depend on topology, domain theory, generalized distance functions, and associated fixed-point theory. The authors closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks.

Propositional Logics

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Author : Richard L. Epstein
language : en
Publisher: Oxford University Press, USA
Release Date : 1995

Propositional Logics written by Richard L. Epstein and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Language Arts & Disciplines categories.

This book grew out of my confusion. If logic is objective, how can there be so many logics? Is there one right logic, or many right ones? Is there some underlying unity that connects them? What is the significance of the mathematical theorems about logic that I've learned if they have no connection to our everyday reasoning? The answers I propose revolve around the idea that what one pays attention to in reasoning determines which logic is appropriate. The act of abstracting from reasoning in our usual language is the stepping-stone from reasoned argument to logic. We cannot take this step alone, for we reason together: logic is reasoning that has some objective value.

The Semantic Foundations Of Logic Volume 1 Propositional Logics

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Author : R.L. Epstein
language : en
Publisher: Springer
Release Date : 2014-03-14

The Semantic Foundations Of Logic Volume 1 Propositional Logics written by R.L. Epstein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-14 with Philosophy categories.

This book grew out of my confusion. If logic is objective how can there be so many logics? Is there one right logic, or many right ones? Is there some underlying unity that connects them? What is the significance of the mathematical theorems about logic which I've learned if they have no connection to our everyday reasoning? The answers I propose revolve around the perception that what one pays attention to in reasoning determines which logic is appropriate. The act of abstracting from our reasoning in our usual language is the stepping stone from reasoned argument to logic. We cannot take this step alone, for we reason together: logic is reasoning which has some objective value. For you to understand my answers, or perhaps better, conjectures, I have retraced my steps: from the concrete to the abstract, from examples, to general theory, to further confirming examples, to reflections on the significance of the work.

Predicate Logic

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Author : Richard L. Epstein
language : en
Publisher:
Release Date : 2012-05-01

Predicate Logic written by Richard L. Epstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-01 with categories.

Philosophical Approaches To The Foundations Of Logic And Mathematics

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Author : Marcin Trepczyński
language : en
Publisher: BRILL
Release Date : 2021-01-25

Philosophical Approaches To The Foundations Of Logic And Mathematics written by Marcin Trepczyński and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-25 with Philosophy categories.

Eleven papers collected in the volume Philosophical Approaches to the Foundations of Logic and Mathematics address various aspects of the “roots”, basic concepts and the nature of logic and mathematics. Taken together, these papers reveal how many serious philosophical problems lie at the foundations of logic and mathematics. The topics discussed in this volume include: transcending anti-foundationalism and two concurrent trends of "anthropological" and "practical" understanding of the foundations of mathematics, new approaches to mathematical realism, the “roots” of logic in a genetic perspective, the primacy of truth or satisfaction, and the “effectiveness” of mathematics in terms of categorical semantics.