Truth In Mathematics
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Truth In Mathematics
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Author : Harold G. Dales
language : en
Publisher: Oxford University Press
Release Date : 1998
Truth In Mathematics written by Harold G. Dales and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
The nature of truth in mathematics has exercised the minds of thinkers from at least the time of the ancient Greeks. The great advances in mathematics and philosophy in the twentieth century and in particular the work by G]odel and the development of the notion of independence in mathematics have led to new and complex views on this question. Collecting the work of a number of outstanding mathematicians and philosophers, including Yurii Manin, Vaughan Jones, and Per Martin-L]of, this volume provides an overview of the forefront of current thinking and a valuable introduction for researchers in the area.
Infinity And Truth
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Author : Chi Tat Chong
language : en
Publisher: World Scientific
Release Date : 2013-11-28
Infinity And Truth written by Chi Tat Chong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-28 with Mathematics categories.
This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters cover topics in mathematical and philosophical logic that examine various aspects of the foundations of mathematics. The theme of the volume focuses on two basic foundational questions: (i) What is the nature of mathematical truth and how does one resolve questions that are formally unsolvable within the Zermelo-Fraenkel Set Theory with the Axiom of Choice, and (ii) Do the discoveries in mathematics provide evidence favoring one philosophical view over others? These issues are discussed from the vantage point of recent progress in foundational studies.The final chapter features questions proposed by the participants of the Workshop that will drive foundational research. The wide range of topics covered here will be of interest to students, researchers and mathematicians concerned with issues in the foundations of mathematics.
Truth Existence And Explanation
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Author : Mario Piazza
language : en
Publisher: Springer
Release Date : 2018-10-24
Truth Existence And Explanation written by Mario Piazza and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-24 with Mathematics categories.
This book contains more than 15 essays that explore issues in truth, existence, and explanation. It features cutting-edge research in the philosophy of mathematics and logic. Renowned philosophers, mathematicians, and younger scholars provide an insightful contribution to the lively debate in this interdisciplinary field of inquiry. The essays look at realism vs. anti-realism as well as inflationary vs. deflationary theories of truth. The contributors also consider mathematical fictionalism, structuralism, the nature and role of axioms, constructive existence, and generality. In addition, coverage also looks at the explanatory role of mathematics and the philosophical relevance of mathematical explanation. The book will appeal to a broad mathematical and philosophical audience. It contains work from FilMat, the Italian Network for the Philosophy of Mathematics. These papers collected here were also presented at their second international conference, held at the University of Chieti-Pescara, May 2016.
Truth In Math
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Author : David T. Carrott
language : en
Publisher:
Release Date : 2011
Truth In Math written by David T. Carrott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Yearning For The Impossible
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Author : John Stillwell
language : en
Publisher: CRC Press
Release Date : 2018-04-27
Yearning For The Impossible written by John Stillwell and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-27 with Mathematics categories.
Yearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress. The author puts these creations into a broader context involving related "impossibilities" from art, literature, philosophy, and physics. This new edition contains many new exercises and commentaries, clearly discussing a wide range of challenging subjects.
Is Math Real
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Author : Eugenia Cheng
language : en
Publisher: Basic Books
Release Date : 2023-08-15
Is Math Real written by Eugenia Cheng and has been published by Basic Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-15 with Mathematics categories.
One of the world’s most creative mathematicians offers a new way to look at math—focusing on questions, not answers Where do we learn math: From rules in a textbook? From logic and deduction? Not really, according to mathematician Eugenia Cheng: we learn it from human curiosity—most importantly, from asking questions. This may come as a surprise to those who think that math is about finding the one right answer, or those who were told that the “dumb” question they asked just proved they were bad at math. But Cheng shows why people who ask questions like “Why does 1 + 1 = 2?” are at the very heart of the search for mathematical truth. Is Math Real? is a much-needed repudiation of the rigid ways we’re taught to do math, and a celebration of the true, curious spirit of the discipline. Written with intelligence and passion, Is Math Real? brings us math as we’ve never seen it before, revealing how profound insights can emerge from seemingly unlikely sources.
Trick Or Truth
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Author : Anthony Aguirre
language : en
Publisher: Springer
Release Date : 2016-02-20
Trick Or Truth written by Anthony Aguirre and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-20 with Science categories.
The prize-winning essays in this book address the fascinating but sometimes uncomfortable relationship between physics and mathematics. Is mathematics merely another natural science? Or is it the result of human creativity? Does physics simply wear mathematics like a costume, or is math the lifeblood of physical reality? The nineteen wide-ranging, highly imaginative and often entertaining essays are enhanced versions of the prize-winning entries to the FQXi essay competition “Trick or Truth”, which attracted over 200 submissions. The Foundational Questions Institute, FQXi, catalyzes, supports, and disseminates research on questions at the foundations of physics and cosmology, particularly new frontiers and innovative ideas integral to a deep understanding of reality, but unlikely to be supported by conventional funding sources.
Language Truth And Logic In Mathematics
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Author : Jaakko Hintikka
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Language Truth And Logic In Mathematics written by Jaakko Hintikka 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 2013-03-09 with Mathematics categories.
One can distinguish, roughly speaking, two different approaches to the philosophy of mathematics. On the one hand, some philosophers (and some mathematicians) take the nature and the results of mathematicians' activities as given, and go on to ask what philosophical morals one might perhaps find in their story. On the other hand, some philosophers, logicians and mathematicians have tried or are trying to subject the very concepts which mathematicians are using in their work to critical scrutiny. In practice this usually means scrutinizing the logical and linguistic tools mathematicians wield. Such scrutiny can scarcely help relying on philosophical ideas and principles. In other words it can scarcely help being literally a study of language, truth and logic in mathematics, albeit not necessarily in the spirit of AJ. Ayer. As its title indicates, the essays included in the present volume represent the latter approach. In most of them one of the fundamental concepts in the foundations of mathematics and logic is subjected to a scrutiny from a largely novel point of view. Typically, it turns out that the concept in question is in need of a revision or reconsideration or at least can be given a new twist. The results of such a re-examination are not primarily critical, however, but typically open up new constructive possibilities. The consequences of such deconstructions and reconstructions are often quite sweeping, and are explored in the same paper or in others.
Yearning For The Impossible
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Author : John Stillwell
language : en
Publisher: CRC Press
Release Date : 2006-05-23
Yearning For The Impossible written by John Stillwell and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-23 with Mathematics categories.
This book explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress: - Irrational and Imaginary Numbers - The Fourth Dimension - Curved Space - Infinity and others The author puts t
Some Truth Some Validity Some Opinion
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Author : David A. Crothamel
language : en
Publisher: Dorrance Publishing
Release Date : 2022-03-16
Some Truth Some Validity Some Opinion written by David A. Crothamel and has been published by Dorrance Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-16 with Mathematics categories.
Some Truth, Some Validity, Some Opinion: Lessons from an Old Mathematics Teacher to New Mathematics Teachers By: David A. Crothamel David A. Crothamel has taught mathematics for thirty-eight years from the seventh grade level up to calculus. Throughout his many years of teaching, he has seen many times teachers skip over proof of the techniques. Students then tend to memorize how to get an answer without knowing the methodology behind it. Crothamel would like this book to be used as a guide for students to navigate the “whys” of some of the mathematics they study.