Wittgenstein Mathematics And World
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Wittgenstein Mathematics And World
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Author : Bob Clark
language : en
Publisher: Springer
Release Date : 2017-11-14
Wittgenstein Mathematics And World written by Bob Clark and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-14 with Mathematics categories.
This book uses Ludwig Wittgenstein’s philosophical methodology to solve a problem that has perplexed thinkers for thousands of years: 'how come (abstract) mathematics applies so wonderfully well to the (concrete, physical) world?' The book is distinctive in several ways. First, it gives the reader a route into understanding important features of Wittgenstein’s writings and lectures by using his methodology to tackle this long-standing and seemingly intractable philosophical problem. More than this, though, it offers an outline of important (sometimes little-known) aspects of the development of mathematical thought through the ages, and an engagement of Wittgenstein’s philosophy with this and with contemporary philosophy of mathematics on its own terms. A clear overview of all this in the context of Wittgenstein’s philosophy of mathematics is interesting in its own right; it is also just what is needed to solve the problem of mathematics and world.
Wittgenstein S Philosophy Of Mathematics
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Author : Juliet Floyd
language : en
Publisher: Cambridge University Press
Release Date : 2021-08-12
Wittgenstein S Philosophy Of Mathematics written by Juliet Floyd and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-12 with Science categories.
For Wittgenstein mathematics is a human activity characterizing ways of seeing conceptual possibilities and empirical situations, proof and logical methods central to its progress. Sentences exhibit differing 'aspects', or dimensions of meaning, projecting mathematical 'realities'. Mathematics is an activity of constructing standpoints on equalities and differences of these. Wittgenstein's Later Philosophy of Mathematics (1934–1951) grew from his Early (1912–1921) and Middle (1929–33) philosophies, a dialectical path reconstructed here partly as a response to the limitative results of Gödel and Turing.
Wittgenstein Finitism And The Foundations Of Mathematics
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Author : Mathieu Marion
language : en
Publisher: Oxford University Press
Release Date : 1998
Wittgenstein Finitism And The Foundations Of Mathematics written by Mathieu Marion 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.
Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.
Why Is There Philosophy Of Mathematics At All
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Author : Ian Hacking
language : en
Publisher: Cambridge University Press
Release Date : 2014-01-30
Why Is There Philosophy Of Mathematics At All written by Ian Hacking and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-30 with Mathematics categories.
Hacking explores how mathematics became possible for the human race, and how it ensured our status as the dominant species.
Ludwig Wittgenstein Dictating Philosophy
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Author : Arthur Gibson
language : en
Publisher: Springer Nature
Release Date : 2020-12-13
Ludwig Wittgenstein Dictating Philosophy written by Arthur Gibson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-13 with Philosophy categories.
In this volume we witness Wittgenstein in the act of composing and experimenting with his new visions in philosophy. The book includes key explanations of the origin and background of these previously unknown manuscripts. It investigates how Wittgenstein’s philosophical thought-processes are revealed in his dictation to, as well as his editing and revision with Francis Skinner, in the latter’s role of amanuensis. The book displays a considerable wealth and variety of Wittgenstein’s fundamental experiments in philosophy across a wide array of subjects that include the mind, pure and applied mathematics, metaphysics, the identities of ordinary and creative language, as well as intractable problems in logic and life. He also periodically engages with the work of Newton, Fermat, Russell and others. The book shows Wittgenstein strongly battling against the limits of understanding and the bewitchment of institutional and linguistic customs. The reader is drawn in by Wittgenstein as he urges us to join him in his struggles to equip us with skills, so that we can embark on devising new pathways beyond confusion. This collection of manuscripts was posted off by Wittgenstein to be considered for publication during World War 2, in October 1941. None of it was published and it remained hidden for over two generations. Upon its rediscovery, Professor Gibson was invited to research, prepare and edit the Archive to appear as this book, encouraged by Trinity College Cambridge and The Mathematical Association. Niamh O’Mahony joined him in co-editing and bringing this book to publication.
Wittgenstein S Tractatus
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Author : Matthew B. Ostrow
language : en
Publisher: Cambridge University Press
Release Date : 2002
Wittgenstein S Tractatus written by Matthew B. Ostrow and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This book is a strikingly innovative study of the Tractatus.
The Oxford Handbook Of Wittgenstein
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Author : Oskari Kuusela
language : en
Publisher: Oxford University Press
Release Date : 2011-10-27
The Oxford Handbook Of Wittgenstein written by Oskari Kuusela 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 2011-10-27 with Philosophy categories.
Since the middle of the 20th century Ludwig Wittgenstein has been an exceptionally influential and controversial figure wherever philosophy is studied. This is a comprehensive volume on Wittgenstein where 35 scholars explore the whole range of his thought, offering critical engagement and original interpretation.
Wittgenstein S Tractatus
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Author : Alfred Nordmann
language : en
Publisher: Cambridge University Press
Release Date : 2005-08-25
Wittgenstein S Tractatus written by Alfred Nordmann and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-25 with Mathematics categories.
This introduction, first published in 2005, considers the philosophical and literary aspects of Wittgenstein's 'Tractatus' and shows how they are related.
The Logical Must
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Author : Penelope Maddy
language : en
Publisher: Oxford University Press, USA
Release Date : 2014
The Logical Must written by Penelope Maddy and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Philosophy categories.
"Maddy's short monograph looks at Wittgenstein's philosophy of logic, from the perspective of the form of naturalism that she calls "second philosophy." That view takes an empirical approach to logical truth -- essentially arguing that if philosophers want to understand the world, they should start from a position informed by scientific understandings of the world, because science is often a reliable guide to how the world works. Similarly, just like science, logic is also grounded in the structure of our world, and our basic cognitive machinery is tuned by evolutionary pressures to detect that structure where it occurs. Ludwig Wittgenstein (particularly in the "Tractatus") also linked the logical structure of representation with the structure of the world, but still insisted that the sense of our representations must be given prior to -- independently of -- any facts about how the world happens to be. When that requirement is removed, Wittgenstein's position in the Tractatus approaches Maddy's Second Philosophy -- that logic is grounded in the structure of the world and our representational systems reflect that structuring. The later Wittgenstein also hews closely to Second Philosophy, holding that our logical practices are grounded in our interests and motivations, and our natural inclinations, and the features of the world. In this sense, logic is no different from other descriptions of the world -- just more general and responding to features so basic and ubiquitous that they tend to go unnoticed. Maddy's Second Philosophy finds Wittgenstein as an important precursor and kindred spirit, and promotes a new view of him as a naturalistic phliosopher"--
Wittgenstein S Form Of Life
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Author : David Kishik
language : en
Publisher: A&C Black
Release Date : 2008-08-01
Wittgenstein S Form Of Life written by David Kishik and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-01 with Language Arts & Disciplines categories.
Wittgenstein's Form of Life reveals the intricate relationship between language and life throughout Ludwig Wittgenstein's work. Drawing on the entire corpus of his writings, David Kishik offers a synoptic view of Wittgenstein's evolving thought by considering the notion of form of life as its vanishing center. The book takes its cue from the idea that 'to imagine a language means to imagine a form of life', in order to present the first holistic account of Wittgenstein's philosophy in the spirit of a new wave of interpretations, pioneered by Stanley Cavell, Cora Diamond and James Conant. It is also an enticing contribution to the rising discourse revolving around the subject of life, led by the recent work of Giorgio Agamben. Standing on the threshold between the Analytic and the Continental philosophical traditions, Kishik shows how Wittgenstein's philosophy of language points toward a new philosophy of life, thereby making a unique contribution to our ethical and political thought.