Philosophy Of Arithmetic
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Philosophy Of Arithmetic
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Author : Edmund Husserl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Philosophy Of Arithmetic written by Edmund Husserl 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 Mathematics categories.
This volume is a window on a period of rich and illuminating philosophical activity that has been rendered generally inaccessible by the supposed "revolution" attributed to "Analytic Philosophy" so-called. Careful exposition and critique is given to every serious alternative account of number and number relations available at the time.
The Philosophy Of Arithmetic
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Author : Sir John Leslie
language : en
Publisher:
Release Date : 1817
The Philosophy Of Arithmetic written by Sir John Leslie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1817 with Arithmetic categories.
Philosophy Of Arithmetic
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Author : Edmund Husserl
language : en
Publisher:
Release Date : 2014-01-15
Philosophy Of Arithmetic written by Edmund Husserl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Arithmetic And Ontology
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Author : Philip Hugly
language : en
Publisher: BRILL
Release Date : 2016-08-09
Arithmetic And Ontology written by Philip Hugly and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-09 with Philosophy categories.
This volume documents a lively exchange between five philosophers of mathematics. It also introduces a new voice in one central debate in the philosophy of mathematics. Non-realism, i.e., the view supported by Hugly and Sayward in their monograph, is an original position distinct from the widely known realism and anti-realism. Non-realism is characterized by the rejection of a central assumption shared by many realists and anti-realists, i.e., the assumption that mathematical statements purport to refer to objects. The defense of their main argument for the thesis that arithmetic lacks ontology brings the authors to discuss also the controversial contrast between pure and empirical arithmetical discourse. Colin Cheyne, Sanford Shieh, and Jean Paul Van Bendegem, each coming from a different perspective, test the genuine originality of non-realism and raise objections to it. Novel interpretations of well-known arguments, e.g., the indispensability argument, and historical views, e.g. Frege, are interwoven with the development of the authors’ account. The discussion of the often neglected views of Wittgenstein and Prior provide an interesting and much needed contribution to the current debate in the philosophy of mathematics.
Frege S Philosophy Of Mathematics
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Author : William Demopoulos
language : en
Publisher: Harvard University Press
Release Date : 1995
Frege S Philosophy Of Mathematics written by William Demopoulos and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Widespread interest in Frege's general philosophical writings is, relatively speaking, a fairly recent phenomenon. But it is only very recently that his philosophy of mathematics has begun to attract the attention it now enjoys. This interest has been elicited by the discovery of the remarkable mathematical properties of Frege's contextual definition of number and of the unique character of his proposals for a theory of the real numbers. This collection of essays addresses three main developments in recent work on Frege's philosophy of mathematics: the emerging interest in the intellectual background to his logicism; the rediscovery of Frege's theorem; and the reevaluation of the mathematical content of The Basic Laws of Arithmetic. Each essay attempts a sympathetic, if not uncritical, reconstruction, evaluation, or extension of a facet of Frege's theory of arithmetic. Together they form an accessible and authoritative introduction to aspects of Frege's thought that have, until now, been largely missed by the philosophical community.
The Philosophy Of Arithmetic
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Author : John Leslie
language : en
Publisher: Forgotten Books
Release Date : 2017-10-20
The Philosophy Of Arithmetic written by John Leslie and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-20 with Mathematics categories.
Excerpt from The Philosophy of Arithmetic: Exhibiting a Progressive View of the Theory and Practice of Calculation, With Tables for the Multiplication of Numbers as Far as One Thousand Language insensibly moulds itself to our wants. But it was impossible to furnish a name for each particular num ber: No invention could supply such a multitude of words as would be required, and no memory, could ever retain them. The only practical mode of proceeding, was to have recourse, as on other occasions, to the powers of classifi cation. By conceiving the individuals of a mass to be dis tributed into successive ranks and divisions, a few compo neat terms might be made sufficient to express the whole. We maydiscern around us traces of the progress of nu meration, through all its gradations. 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.
Frege
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Author : Michael Dummett
language : en
Publisher: Harvard University Press
Release Date : 1991
Frege written by Michael Dummett and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
No one has figured more prominently in the study of the German philosopher Gottlob Frege than Michael Dummett. His magisterial Frege: Philosophy of Language is a sustained, systematic analysis of Frege's thought, omitting only the issues in philosophy of mathematics. In this work Dummett discusses, section by section, Frege's masterpiece The Foundations of Arithmetic and Frege's treatment of real numbers in the second volume of Basic Laws of Arithmetic, establishing what parts of the philosopher's views can be salvaged and employed in new theorizing, and what must be abandoned, either as incorrectly argued or as untenable in the light of technical developments. Gottlob Frege (1848-1925) was a logician, mathematician, and philosopher whose work had enormous impact on Bertrand Russell and later on the young Ludwig Wittgenstein, making Frege one of the central influences on twentieth-century Anglo-American philosophy; he is considered the founder of analytic philosophy. His philosophy of mathematics contains deep insights and remains a useful and necessary point of departure for anyone seriously studying or working in the field.
The Philosophy Of Arithmetic
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Author : sir John Leslie
language : en
Publisher:
Release Date : 1817
The Philosophy Of Arithmetic written by sir John Leslie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1817 with categories.
The Philosophy Of Arithmetic As Developed From The Three Fundamental Processes Of Synthesis
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Author : Edward Brooks
language : en
Publisher: Legare Street Press
Release Date : 2023-07-18
The Philosophy Of Arithmetic As Developed From The Three Fundamental Processes Of Synthesis written by Edward Brooks and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-18 with categories.
A groundbreaking work of mathematical philosophy that draws on insights from logic, psychology, and epistemology to offer a new approach to understanding the nature and meaning of arithmetic. 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 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. 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.
Introducing Philosophy Of Mathematics
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Author : Michele Friend
language : en
Publisher: Routledge
Release Date : 2014-12-05
Introducing Philosophy Of Mathematics written by Michele Friend and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-05 with Philosophy categories.
What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual accessibility and correct representation of the issues. Friend examines the standard theories of mathematics - Platonism, realism, logicism, formalism, constructivism and structuralism - as well as some less standard theories such as psychologism, fictionalism and Meinongian philosophy of mathematics. In each case Friend explains what characterises the position and where the divisions between them lie, including some of the arguments in favour and against each. This book also explores particular questions that occupy present-day philosophers and mathematicians such as the problem of infinity, mathematical intuition and the relationship, if any, between the philosophy of mathematics and the practice of mathematics. Taking in the canonical ideas of Aristotle, Kant, Frege and Whitehead and Russell as well as the challenging and innovative work of recent philosophers like Benacerraf, Hellman, Maddy and Shapiro, Friend provides a balanced and accessible introduction suitable for upper-level undergraduate courses and the non-specialist.