In The Light Of Logic

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In The Light Of Logic

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Author : Solomon Feferman
language : en
Publisher:
Release Date : 1998

In The Light Of Logic written by Solomon Feferman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborated the nature of the infinite, and in doing so helped transform the face of twentieth-century mathematics. Feferman details the development of Cantorian concepts and the foundational difficulties they engendered. He argues that the freedom provided by Cantorian set theory was purchased at a heavy philosophical price, namely adherence to a form of mathematical platonism that is difficult to support. Beginning with a previously unpublished lecture for a general audience, Deciding the Undecidable, Feferman examines the famous list of twenty-three mathematical problems posed by David Hilbert, concentrating on three problems that have most to do with logic. Other chapters are devoted to the work and thought of Kurt Gödel, whose stunning results in the 1930s on the incompleteness of formal systems and the consistency of Cantors continuum hypothesis have been of utmost importance to all subsequent work in logic. Though Gödel has been identified as the leading defender of set-theoretical platonism, surprisingly even he at one point regarded it as unacceptable. In his concluding chapters, Feferman uses tools from the special part of logic called proof theory to explain how the vast part--if not all--of scientifically applicable mathematics can be justified on the basis of purely arithmetical principles. At least to that extent, the question raised in two of the essays of the volume, Is Cantor Necessary?, is answered with a resounding no. This volume of important and influential work by one of the leading figures in logic and the foundations of mathematics is essential reading for anyone interested in these subjects.

Seeing The Light

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Author : Thomas DeGloma
language : en
Publisher: University of Chicago Press
Release Date : 2014-11-26

Seeing The Light written by Thomas DeGloma and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-26 with Literary Criticism categories.

This title explores the distinctly social logic of awakening narratives - autobiographical stories people tell about having once been contained in a world of darkness and ignorance and subsequently awakening to an enlightened understanding of their experiences and situations. It analyses a wide variety of stories spanning roughly ten thousand years of history and pertaining to various philosophical, religious, political, scientific, psychological, and sexual subject matters.

In The Light Of Logic

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Author : Solomon Feferman
language : en
Publisher:
Release Date : 2023

In The Light Of Logic written by Solomon Feferman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Logic, Symbolic and mathematical categories.

This volume brings together a revised and annotated selection of Solomon Feferman's most important writings, covering the relation between logic and mathematics, proof theory, and objectivity and intentionality in mathematics.

Logic Epistemology And The Unity Of Science

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Author : Shahid Rahman
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-10-25

Logic Epistemology And The Unity Of Science written by Shahid Rahman 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 2004-10-25 with Philosophy categories.

This is the first volume in a series aimed at considering the scientific enterprise in light of recent developments in logic and philosophy. This work explores new ways of achieving the integration of science in all its diversity.

Logic

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Author : Paul Tomassi
language : en
Publisher: Routledge
Release Date : 2013-05-13

Logic written by Paul Tomassi and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-13 with Education categories.

Bringing elementary logic out of the academic darkness into the light of day, Paul Tomassi makes logic fully accessible for anyone attempting to come to grips with the complexities of this challenging subject. Including student-friendly exercises, illustrations, summaries and a glossary of terms, Logic introduces and explains: * The Theory of Validity * The Language of Propositional Logic * Proof-Theory for Propositional Logic * Formal Semantics for Propositional Logic including the Truth-Tree Method * The Language of Quantificational Logic including the Theory of Descriptions. Logic is an ideal textbook for any logic student: perfect for revision, staying on top of coursework or for anyone wanting to learn about the subject. Related downloadable software for Macs and PCs is available for this title at www.logic.routledge.com.

Elementary Logic

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Author : Brian Garrett
language : en
Publisher: Routledge
Release Date : 2014-09-12

Elementary Logic written by Brian Garrett and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-12 with Philosophy categories.

Elementary Logic explains what logic is, how it is done, and why it can be exciting. The book covers the central part of logic that all students have to learn: propositional logic. It aims to provide a crystal-clear introduction to what is often regarded as the most technically difficult area in philosophy. The book opens with an explanation of what logic is and how it is constructed. Subsequent chapters take the reader step-by-step through all aspects of elementary logic. Throughout, ideas are explained simply and directly, with the chapters packed with overviews, illustrative examples, and summaries. Each chapter builds on previous explanation and example, with the final chapters presenting more advanced methods. After a discussion of meta-logic and logical systems, the book closes with an exploration of how paradoxes can exist in the world of logic. Elementary Logic's clarity and engagement make it ideal for any reader studying logic for the first time.

Technical Manual

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Author : United States Department of the Army
language : en
Publisher:
Release Date : 1982

Technical Manual written by United States Department of the Army and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.

Formation And Logic Of Quantum Mechanics The In 3 Vols

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Author : Masayuki Nagasaki
language : en
Publisher: World Scientific
Release Date : 2001-11-23

Formation And Logic Of Quantum Mechanics The In 3 Vols written by Masayuki Nagasaki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-23 with Science categories.

This book analyzes the intricate logical process through which the quantum theory was developed, and shows that the quantum mechanics thus established is governed by stereo-structural logic. The method of analysis is based on Mituo Taketani's three-stage theory of scientific cognition, which was presented and developed in close connection with Yukawa's theory of the meson. According to the three-stage theory, scientific cognition proceeds through a series of coiling turns of the phenomenological, substantialistic and essentialistic stages. The old quantum mechanics is shown to be in a substantialistic stage, followed by the quantum mechanics in the corresponding essentialistic stage./a

Automated Reasoning

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Author : Ulrich Furbach
language : en
Publisher: Springer
Release Date : 2006-10-06

Automated Reasoning written by Ulrich Furbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-06 with Computers categories.

Here are the proceedings of the Third International Joint Conference on Automated Reasoning, IJCAR 2006, held in Seattle, Washington, USA, August 2006. The book presents 41 revised full research papers and 8 revised system descriptions, with 3 invited papers and a summary of a systems competition. The papers are organized in topical sections on proofs, search, higher-order logic, proof theory, proof checking, combination, decision procedures, CASC-J3, rewriting, and description logic.

Ki 2002 Advances In Artificial Intelligence

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Author : Matthias Jarke
language : en
Publisher: Springer
Release Date : 2003-08-02

Ki 2002 Advances In Artificial Intelligence written by Matthias Jarke and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-02 with Computers categories.

This book constitutes the refereed proceedings of the 25th Annual German conference on Artificial Intelligence, KI 2002, held in Aachen, Germany in September 2002. The 20 revised full papers presented were carefully reviewed and selected from 58 submissions. The book offers topical sections on natural language processing; machine learning; knowledge representation, semantic web, and AI; neural networks; logic programming, theorem proving, and model checking; and vision and spatial reasoning.