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An Aristotelian Realist Philosophy Of Mathematics


An Aristotelian Realist Philosophy Of Mathematics
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An Aristotelian Realist Philosophy Of Mathematics


An Aristotelian Realist Philosophy Of Mathematics
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Author : J. Franklin
language : en
Publisher: Springer
Release Date : 2014-04-09

An Aristotelian Realist Philosophy Of Mathematics written by J. Franklin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-09 with Mathematics categories.


Mathematics is as much a science of the real world as biology is. It is the science of the world's quantitative aspects (such as ratio) and structural or patterned aspects (such as symmetry). The book develops a complete philosophy of mathematics that contrasts with the usual Platonist and nominalist options.



An Aristotelian Realist Philosophy Of Mathematics Mathematics As The Science Of Quantity And Structure


An Aristotelian Realist Philosophy Of Mathematics Mathematics As The Science Of Quantity And Structure
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Author : James Franklin
language : en
Publisher:
Release Date : 2014

An Aristotelian Realist Philosophy Of Mathematics Mathematics As The Science Of Quantity And Structure written by James Franklin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.




Philosophy Of Mathematics


Philosophy Of Mathematics
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Author : James Robert Brown
language : en
Publisher: Psychology Press
Release Date : 1999

Philosophy Of Mathematics written by James Robert Brown and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.


Philosophy of Mathematics is an excellent introductory text for philosophy of mathematics. Clear and engaging, it moves at a good pace, is easy to understand and student friendly.



The Science Of Conjecture


The Science Of Conjecture
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Author : James Franklin
language : en
Publisher: JHU Press
Release Date : 2015-08

The Science Of Conjecture written by James Franklin and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08 with History categories.


The Science of Conjecture provides a history of rational methods of dealing with uncertainty and explores the coming to consciousness of the human understanding of risk.



Geometric Possibility


Geometric Possibility
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Author : Gordon Belot
language : en
Publisher: OUP Oxford
Release Date : 2013-06-20

Geometric Possibility written by Gordon Belot and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-20 with Science categories.


Relationalism seeks to ground all claims about the structure of space in facts about actual and possible configurations of matter. Gordon Belot elucidates the prospects for this view of the nature of space by investigating the key notion of geometric possibility in relation to philosophical notions of physical possibility.



Logic Epistemology And The Unity Of Science


Logic Epistemology And The Unity Of Science
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Author : Shahid Rahman
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-16

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 2009-03-16 with Philosophy categories.


The first volume in this new series explores, through extensive co-operation, new ways of achieving the integration of science in all its diversity. The book offers essays from important and influential philosophers in contemporary philosophy, discussing a range of topics from philosophy of science to epistemology, philosophy of logic and game theoretical approaches. It will be of interest to philosophers, computer scientists and all others interested in the scientific rationality.



Philosophy Of Mathematics


Philosophy Of Mathematics
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Author : Stewart Shapiro
language : en
Publisher: Oxford University Press
Release Date : 1997-08-07

Philosophy Of Mathematics written by Stewart Shapiro 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 1997-08-07 with Philosophy categories.


Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic problems. As a way out of this dilemma, Shapiro articulates a structuralist approach. On this view, the subject matter of arithmetic, for example, is not a fixed domain of numbers independent of each other, but rather is the natural number structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle. Using this framework, realism in mathematics can be preserved without troublesome epistemic consequences. Shapiro concludes by showing how a structuralist approach can be applied to wider philosophical questions such as the nature of an "object" and the Quinean nature of ontological commitment. Clear, compelling, and tautly argued, Shapiro's work, noteworthy both in its attempt to develop a full-length structuralist approach to mathematics and to trace its emergence in the history of mathematics, will be of deep interest to both philosophers and mathematicians.



Frege


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 Problem Of Universals In Early Modern Philosophy


The Problem Of Universals In Early Modern Philosophy
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Author : Stefano Di Bella
language : en
Publisher: Oxford University Press
Release Date : 2017

The Problem Of Universals In Early Modern Philosophy written by Stefano Di Bella 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 2017 with Philosophy categories.


This is a collection of essays from an international group of scholars that explore the ways in which the ancient problem of universals was transformed in modern philosophy. Essays consider the various forms of "Platonism," "conceptualism" and "nominalism" in the writings of a broad range of modern thinkers.



The Principles Of Mathematics


The Principles Of Mathematics
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Author : Bertrand Russell
language : en
Publisher:
Release Date : 1903

The Principles Of Mathematics written by Bertrand Russell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1903 with Mathematics categories.