Essays on Mathematical Reasoning

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Publisher :
ISBN 13 : 3643963106
Total Pages : 118 pages
Book Rating : 4.6/5 (439 download)

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Book Synopsis Essays on Mathematical Reasoning by : Jerzy Pogonowski

Download or read book Essays on Mathematical Reasoning written by Jerzy Pogonowski and published by . This book was released on 2020 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reasoning: The History and Impact of the DReaM Group

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Publisher : Springer Nature
ISBN 13 : 3030778797
Total Pages : 173 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Mathematical Reasoning: The History and Impact of the DReaM Group by : Gregory Michaelson

Download or read book Mathematical Reasoning: The History and Impact of the DReaM Group written by Gregory Michaelson and published by Springer Nature. This book was released on 2021-11-20 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays examines the key achievements and likely developments in the area of automated reasoning. In keeping with the group ethos, Automated Reasoning is interpreted liberally, spanning underpinning theory, tools for reasoning, argumentation, explanation, computational creativity, and pedagogy. Wider applications including secure and trustworthy software, and health care and emergency management. The book starts with a technically oriented history of the Edinburgh Automated Reasoning Group, written by Alan Bundy, which is followed by chapters from leading researchers associated with the group. Mathematical Reasoning: The History and Impact of the DReaM Group will attract considerable interest from researchers and practitioners of Automated Reasoning, including postgraduates. It should also be of interest to those researching the history of AI.

Mechanizing Mathematical Reasoning

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Publisher : Springer
ISBN 13 : 354032254X
Total Pages : 573 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Mechanizing Mathematical Reasoning by : Dieter Hutter

Download or read book Mechanizing Mathematical Reasoning written by Dieter Hutter and published by Springer. This book was released on 2011-03-29 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: By presenting state-of-the-art results in logical reasoning and formal methods in the context of artificial intelligence and AI applications, this book commemorates the 60th birthday of Jörg H. Siekmann. The 30 revised reviewed papers are written by former and current students and colleagues of Jörg Siekmann; also included is an appraisal of the scientific career of Jörg Siekmann entitled "A Portrait of a Scientist: Logics, AI, and Politics." The papers are organized in four parts on logic and deduction, applications of logic, formal methods and security, and agents and planning.

Essays on Mathematical Reasoning

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Publisher : LIT Verlag Münster
ISBN 13 : 3643913109
Total Pages : pages
Book Rating : 4.6/5 (439 download)

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Book Synopsis Essays on Mathematical Reasoning by : Jerzy Pogonowski

Download or read book Essays on Mathematical Reasoning written by Jerzy Pogonowski and published by LIT Verlag Münster. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains four essays which may attract the attention of those readers, who are interested in mathematical cognition The main issues and questions addressed include: How do we achieve understanding of mathematical notions and ideas? What benefits can be obtained from mistakes of great mathematicians? Which mathematical objects are standard and which are pathological? Is it possible characterize the intended models of mathematical theories in a unique way?

18 Unconventional Essays on the Nature of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387298312
Total Pages : 346 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis 18 Unconventional Essays on the Nature of Mathematics by : Reuben Hersh

Download or read book 18 Unconventional Essays on the Nature of Mathematics written by Reuben Hersh and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of the most interesting recent writings on the philosophy of mathematics written by highly respected researchers from philosophy, mathematics, physics, and chemistry Interdisciplinary book that will be useful in several fields—with a cross-disciplinary subject area, and contributions from researchers of various disciplines

Proof and Knowledge in Mathematics

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Publisher : Routledge
ISBN 13 : 1134916760
Total Pages : 170 pages
Book Rating : 4.1/5 (349 download)

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Book Synopsis Proof and Knowledge in Mathematics by : Michael Detlefsen

Download or read book Proof and Knowledge in Mathematics written by Michael Detlefsen and published by Routledge. This book was released on 2005-08-18 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distinguished contributors tackle the main problem that arizes when considering an epistemology for mathematics, the nature and sources of mathematical justification.

Automated Reasoning

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Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Automated Reasoning by : Robert S. Boyer

Download or read book Automated Reasoning written by Robert S. Boyer and published by Springer Science & Business Media. This book was released on 1991 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reasoning in Science and Mathematics

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Publisher : Advanced Reasoning Forum
ISBN 13 : 098345213X
Total Pages : 133 pages
Book Rating : 4.9/5 (834 download)

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Book Synopsis Reasoning in Science and Mathematics by : Richard L Epstein

Download or read book Reasoning in Science and Mathematics written by Richard L Epstein and published by Advanced Reasoning Forum. This book was released on 2018-11-05 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of books is meant to present the fundamentals of reasoning well in a clear manner accessible to both scholars and students. The body of each essay gives the main development of the subject, while the footnotes and appendices place the research within a larger scholarly context. The topic of this volume is the nature and evaluation of reasoning in science and mathematics. Science and mathematics can both be understood as proceeding by a method of abstraction from experience. Mathematics is distinguished from other sciences only in its greater abstraction and its demand for necessity in its inferences. That methodology of abstraction is the main focus here. The study of these subjects is not just of academic interest but can lead to better research in science and mathematics. First comes clear thinking, then comes clear research and clear writing. The essays: • Background • Models and Theories • Experiments • Mathematics as the Art of Abstraction.

Essays on the Foundations of Mathematics and Logic

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Publisher : Polimetrica s.a.s.
ISBN 13 : 8876990143
Total Pages : 353 pages
Book Rating : 4.8/5 (769 download)

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Book Synopsis Essays on the Foundations of Mathematics and Logic by : Giandomenico Sica

Download or read book Essays on the Foundations of Mathematics and Logic written by Giandomenico Sica and published by Polimetrica s.a.s.. This book was released on 2005 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechanizing Mathematical Reasoning

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Publisher :
ISBN 13 :
Total Pages : 563 pages
Book Rating : 4.:/5 (799 download)

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Book Synopsis Mechanizing Mathematical Reasoning by : Werner Stephan (informatico.)

Download or read book Mechanizing Mathematical Reasoning written by Werner Stephan (informatico.) and published by . This book was released on 2005 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Essay on the Foundations of Geometry

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Publisher : Psychology Press
ISBN 13 : 9780415141451
Total Pages : 232 pages
Book Rating : 4.1/5 (414 download)

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Book Synopsis An Essay on the Foundations of Geometry by : Bertrand Russell

Download or read book An Essay on the Foundations of Geometry written by Bertrand Russell and published by Psychology Press. This book was released on 1996 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides both an insight into the foundations of Russell's philosophical thinking and an introduction to the philosophy of mathematics and logic. It explores the various concepts of geometry and their philosophical implications, including an overview of the development of geometry.

Arguing with Numbers

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Publisher : Penn State Press
ISBN 13 : 0271089237
Total Pages : 303 pages
Book Rating : 4.2/5 (71 download)

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Book Synopsis Arguing with Numbers by : James Wynn

Download or read book Arguing with Numbers written by James Wynn and published by Penn State Press. This book was released on 2021-05-14 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: As discrete fields of inquiry, rhetoric and mathematics have long been considered antithetical to each other. That is, if mathematics explains or describes the phenomena it studies with certainty, persuasion is not needed. This volume calls into question the view that mathematics is free of rhetoric. Through nine studies of the intersections between these two disciplines, Arguing with Numbers shows that mathematics is in fact deeply rhetorical. Using rhetoric as a lens to analyze mathematically based arguments in public policy, political and economic theory, and even literature, the essays in this volume reveal how mathematics influences the values and beliefs with which we assess the world and make decisions and how our worldviews influence the kinds of mathematical instruments we construct and accept. In addition, contributors examine how concepts of rhetoric—such as analogy and visuality—have been employed in mathematical and scientific reasoning, including in the theorems of mathematical physicists and the geometrical diagramming of natural scientists. Challenging academic orthodoxy, these scholars reject a math-equals-truth reduction in favor of a more constructivist theory of mathematics as dynamic, evolving, and powerfully persuasive. By bringing these disparate lines of inquiry into conversation with one another, Arguing with Numbers provides inspiration to students, established scholars, and anyone inside or outside rhetorical studies who might be interested in exploring the intersections between the two disciplines. In addition to the editors, the contributors to this volume are Catherine Chaput, Crystal Broch Colombini, Nathan Crick, Michael Dreher, Jeanne Fahnestock, Andrew C. Jones, Joseph Little, and Edward Schiappa.

Essays on the Foundations of Mathematics by Moritz Pasch

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Publisher : Springer Science & Business Media
ISBN 13 : 9048194164
Total Pages : 248 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Essays on the Foundations of Mathematics by Moritz Pasch by : Stephen Pollard

Download or read book Essays on the Foundations of Mathematics by Moritz Pasch written by Stephen Pollard and published by Springer Science & Business Media. This book was released on 2010-08-03 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Moritz Pasch (1843-1930) is justly celebrated as a key figure in the history of axiomatic geometry. Less well known are his contributions to other areas of foundational research. This volume features English translations of 14 papers Pasch published in the decade 1917-1926. In them, Pasch argues that geometry and, more surprisingly, number theory are branches of empirical science; he provides axioms for the combinatorial reasoning essential to Hilbert’s program of consistency proofs; he explores "implicit definition" (a generalization of definition by abstraction) and indicates how this technique yields an "empiricist" reconstruction of set theory; he argues that we cannot fully understand the logical structure of mathematics without clearly distinguishing between decidable and undecidable properties; he offers a rare glimpse into the mind of a master of axiomatics, surveying in detail the thought experiments he employed as he struggled to identify fundamental mathematical principles; and much more. This volume will: Give English speakers access to an important body of work from a turbulent and pivotal period in the history of mathematics, help us look beyond the familiar triad of formalism, intuitionism, and logicism, show how deeply we can see with the help of a guide determined to present fundamental mathematical ideas in ways that match our human capacities, will be of interest to graduate students and researchers in logic and the foundations of mathematics.

Mathematical Essays ... The second edition, with additions

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Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.0/5 (18 download)

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Book Synopsis Mathematical Essays ... The second edition, with additions by : William LUDLAM

Download or read book Mathematical Essays ... The second edition, with additions written by William LUDLAM and published by . This book was released on 1787 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Automated Reasoning and Mathematics

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Publisher : Springer
ISBN 13 : 3642366759
Total Pages : 276 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Automated Reasoning and Mathematics by : Maria Paola Bonacina

Download or read book Automated Reasoning and Mathematics written by Maria Paola Bonacina and published by Springer. This book was released on 2013-02-28 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume is published in memory of William W. McCune who passed away in 2011. William W. McCune was an accomplished computer scientist all around but especially a fantastic system builder and software engineer. The volume includes 13 full papers, which are presenting research in all aspects of automated reasoning and its applications to mathematics. These papers have been thoroughly reviewed and selected out of 15 submissions received in response to the call for paper issued in September 2011. The topics covered are: strategies, indexing, superposition-based theorem proving, model building, application of automated reasoning to mathematics, as well as to program verification, data mining, and computer formalized mathematics.

Psychology and Mathematics

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Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (41 download)

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Book Synopsis Psychology and Mathematics by : Clyde Hamilton Coombs

Download or read book Psychology and Mathematics written by Clyde Hamilton Coombs and published by . This book was released on 1983 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics and Its Logics

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Publisher : Cambridge University Press
ISBN 13 : 1316999602
Total Pages : 296 pages
Book Rating : 4.3/5 (169 download)

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Book Synopsis Mathematics and Its Logics by : Geoffrey Hellman

Download or read book Mathematics and Its Logics written by Geoffrey Hellman and published by Cambridge University Press. This book was released on 2021-02-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these essays Geoffrey Hellman presents a strong case for a healthy pluralism in mathematics and its logics, supporting peaceful coexistence despite what appear to be contradictions between different systems, and positing different frameworks serving different legitimate purposes. The essays refine and extend Hellman's modal-structuralist account of mathematics, developing a height-potentialist view of higher set theory which recognizes indefinite extendability of models and stages at which sets occur. In the first of three new essays written for this volume, Hellman shows how extendability can be deployed to derive the axiom of Infinity and that of Replacement, improving on earlier accounts; he also shows how extendability leads to attractive, novel resolutions of the set-theoretic paradoxes. Other essays explore advantages and limitations of restrictive systems - nominalist, predicativist, and constructivist. Also included are two essays, with Solomon Feferman, on predicative foundations of arithmetic.