Lectures On The Philosophy Of Mathematics

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Lectures On The Philosophy Of Mathematics
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Author : Joel David Hamkins
language : en
Publisher: MIT Press
Release Date : 2021-02-02
Lectures On The Philosophy Of Mathematics written by Joel David Hamkins and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-02 with Mathematics categories.
An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Lectures On The Philosophy Of Mathematics
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Author : Friedrich Waismann
language : en
Publisher: BRILL
Release Date : 2022-11-07
Lectures On The Philosophy Of Mathematics written by Friedrich Waismann and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-07 with Philosophy categories.
Lectures On The Philosophy Of Mathematics Classic Reprint
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Author : James Byrnie Shaw
language : en
Publisher:
Release Date : 2016-06-14
Lectures On The Philosophy Of Mathematics Classic Reprint written by James Byrnie Shaw and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-14 with Philosophy categories.
Excerpt from Lectures on the Philosophy of Mathematics In the spring of 1915 the author was invited to deliver a course of lectures before a club of graduate students of the University of Illinois on the subject "The Philosophy of Mathematics." This club consisted of students who had had an ordinary college course in mathematics, for the most part. This fact tended to narrow the field to be covered, inasmuch as the more difficult questions of mathematical philosophy had to be omitted. It tended to widen the field in the way of making it intelligible to all students of fair mathematical knowledge, which could be accomplished best by considering mathematics constantly in its historical development. This class of readers is the one directly addressed in the lectures. The large class of secondary and collegiate teachers of mathematics is also addressed to a great extent. The author cherishes the hope that the professional philosopher too may find some interest in these lectures, even though the more delicate problems are omitted or only referred to. If the student of philosophy finds enough mathematics here to characterize the field and give him a broad view over its hills and valleys, he will see it from the mathematician's point of view. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Lectures On The Philosophy Of Mathematics
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Author : James Byrnie Shaw
language : en
Publisher:
Release Date : 1918
Lectures On The Philosophy Of Mathematics written by James Byrnie Shaw and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1918 with Mathematics categories.
Lectures On The Philosophy Of
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Author : James Byrnie 1866- Shaw
language : en
Publisher: Wentworth Press
Release Date : 2016-08-27
Lectures On The Philosophy Of written by James Byrnie 1866- Shaw and has been published by Wentworth Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-27 with History categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Lectures On The Philosophy Of Mathematics
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Author : Shaw James Byrnie
language : en
Publisher: Sagwan Press
Release Date : 2015-08-24
Lectures On The Philosophy Of Mathematics written by Shaw James Byrnie and has been published by Sagwan Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-24 with categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Lectures On The Philosophy Of Mathematics
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Author : Shaw James Byrnie
language : en
Publisher:
Release Date : 1901
Lectures On The Philosophy Of Mathematics written by Shaw James Byrnie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1901 with categories.
Wittgenstein S Lectures On The Foundations Of Mathematics Cambridge 1939
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Author : Cora Diamond
language : en
Publisher: University of Chicago Press
Release Date : 2015-05-14
Wittgenstein S Lectures On The Foundations Of Mathematics Cambridge 1939 written by Cora Diamond 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 2015-05-14 with Philosophy categories.
For several terms at Cambridge in 1939, Ludwig Wittgenstein lectured on the philosophical foundations of mathematics. A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.
Bridging The Gap Philosophy Mathematics And Physics
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Author : G. Corsi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Bridging The Gap Philosophy Mathematics And Physics written by G. Corsi 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 2012-12-06 with Philosophy categories.
Foundational questions in logic, mathematics, computer science and physics are constant sources of epistemological debate in contemporary philosophy. To what extent is the transfinite part of mathematics completely trustworthy? Why is there a general `malaise' concerning the logical approach to the foundations of mathematics? What is the role of symmetry in physics? Is it possible to build a coherent worldview compatible with a macroobjectivistic position and based on the quantum picture of the world? What account can be given of opinion change in the light of new evidence? These are some of the questions discussed in this volume, which collects 14 lectures on the foundation of science given at the School of Philosophy of Science, Trieste, October 1989. The volume will be of particular interest to any student or scholar engaged in interdisciplinary research into the foundations of science in the context of contemporary debates.
Philosophy Of Logic And Mathematics
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Author : Gabriele M. Mras
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-11-18
Philosophy Of Logic And Mathematics written by Gabriele M. Mras and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-18 with Philosophy categories.
This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism. The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.