From Kant To Hilbert Volume 2

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From Kant To Hilbert Volume 2

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Author : William Bragg Ewald
language : en
Publisher: OUP Oxford
Release Date : 2005-04-21

From Kant To Hilbert Volume 2 written by William Bragg Ewald and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-21 with Mathematics categories.

Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics—algebra, geometry, number theory, analysis, logic and set theory—with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics.

From Kant To Hilbert

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Author : William Bragg Ewald
language : en
Publisher: Oxford University Press, USA
Release Date : 1996

From Kant To Hilbert written by William Bragg Ewald 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 1996 with Language Arts & Disciplines categories.

Part of a two-volume set which contains principal texts on the foundations of mathematics from the late 18th century to the early 20th century. Many essays are translated here into English for the first time.

From Kant To Hilbert

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Author : William Bragg Ewald
language : en
Publisher: Oxford University Press, USA
Release Date : 1996

From Kant To Hilbert written by William Bragg Ewald 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 1996 with Language Arts & Disciplines categories.

Part of a two-volume set which contains principal texts on the foundations of mathematics from the late 18th century to the early 20th century. Many essays are translated here into English for the first time.

Philosophical Explorations Of The Legacy Of Alan Turing

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Author : Juliet Floyd
language : en
Publisher: Springer
Release Date : 2017-05-30

Philosophical Explorations Of The Legacy Of Alan Turing written by Juliet Floyd and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-30 with Science categories.

Chapters “Turing and Free Will: A New Take on an Old Debate” and “Turing and the History of Computer Music” are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Abduction In Cognition And Action

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Author : John R. Shook
language : en
Publisher: Springer Nature
Release Date : 2021-05-29

Abduction In Cognition And Action written by John R. Shook and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-29 with Philosophy categories.

This book gathers together novel essays on the state-of-the-art research into the logic and practice of abduction. In many ways, abduction has become established and essential to several fields, such as logic, cognitive science, artificial intelligence, philosophy of science, and methodology. In recent years this interest in abduction’s many aspects and functions has accelerated. There are evidently several different interpretations and uses for abduction. Many fundamental questions on abduction remain open. How is abduction manifested in human cognition and intelligence? What kinds or types of abduction can be discerned? What is the role for abduction in inquiry and mathematical discovery? The chapters aim at providing answer to these and other current questions. Their contributors have been at the forefront of discussions on abduction, and offer here their updated approaches to the issues that they consider central to abduction’s contemporary relevance. The book is an essential reading for any scholar or professional keeping up with disciplines impacted by the study of abductive reasoning, and its novel development and applications in various fields.

Non Locality And Modality

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Author : Tomasz Placek
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Non Locality And Modality written by Tomasz Placek 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 Science categories.

Quantum theory is the most successful of all physical theories: it has a towering mathematical structure, a vast range of accurate predictions, and technological applications. Its interpretation, however, is as unsettled now as in the heroic days of Einstein and Bohr. This book focuses on quantum non-locality, the curious quantum correlations between spatially separated systems. Quantum non-locality was one subject of the debates between Einstein, Bohr and others such as Schrödinger. The topic was revived in the 1960s as a result of Bell's epoch-making theorems; since then it has been a very active research field, both theoretically and experimentally. This book contains twenty new papers by eminent researchers, who report recent developments in both the physics of the subject and its philosophy. The physics topics covered include quantum information, the unsharp (positive-operator) approach to observables, the state-space approach, and the pilot-wave theory. The philosophy papers include precise studies of Bohr's reply to the original Einstein-Podolsky-Rosen non-locality paradox, and of non-locality's relation to causation, probability and modality.

Philosophy Of Mathematics In The Twentieth Century

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Author : Charles Parsons
language : en
Publisher: Harvard University Press
Release Date : 2014-03-17

Philosophy Of Mathematics In The Twentieth Century written by Charles Parsons 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 2014-03-17 with Philosophy categories.

In these selected essays, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the past century: Brouwer, Hilbert, Bernays, Weyl, Gödel, Russell, Quine, Putnam, Wang, and Tait.

Phenomenology And Mathematics

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Author : Michael Roubach
language : en
Publisher: Cambridge University Press
Release Date : 2023-12-06

Phenomenology And Mathematics written by Michael Roubach 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 2023-12-06 with Science categories.

This Element explores the relationship between phenomenology and mathematics. Its focus is the mathematical thought of Edmund Husserl, founder of phenomenology, but other phenomenologists and phenomenologically-oriented mathematicians, including Weyl, Becker, Gödel, and Rota, are also discussed. After outlining the basic notions of Husserl's phenomenology, the author traces Husserl's journey from his early mathematical studies. Phenomenology's core concepts, such as intention and intuition, each contributed to the emergence of a phenomenological approach to mathematics. This Element examines the phenomenological conceptions of natural number, the continuum, geometry, formal systems, and the applicability of mathematics. It also situates the phenomenological approach in relation to other schools in the philosophy of mathematics-logicism, formalism, intuitionism, Platonism, the French epistemological school, and the philosophy of mathematical practice.

The Legacy Of Mario Pieri In Geometry And Arithmetic

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Author : Elena Anne Marchisotto
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-05

The Legacy Of Mario Pieri In Geometry And Arithmetic written by Elena Anne Marchisotto 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 2007-12-05 with Mathematics categories.

This book is the first in a series of three volumes that comprehensively examine Mario Pieri’s life, mathematical work and influence. The book introduces readers to Pieri’s career and his studies in foundations, from both historical and modern viewpoints. Included in this volume are the first English translations, along with analyses, of two of his most important axiomatizations — one in arithmetic and one in geometry. The book combines an engaging exposition, little-known historical notes, exhaustive references and an excellent index. And yet the book requires no specialized experience in mathematical logic or the foundations of geometry.

Pluralism In Mathematics A New Position In Philosophy Of Mathematics

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Author : Michèle Friend
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-20

Pluralism In Mathematics A New Position In Philosophy Of Mathematics written by Michèle Friend 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 2013-11-20 with Science categories.

This book is about philosophy, mathematics and logic, giving a philosophical account of Pluralism which is a family of positions in the philosophy of mathematics. There are four parts to this book, beginning with a look at motivations for Pluralism by way of Realism, Maddy’s Naturalism, Shapiro’s Structuralism and Formalism. In the second part of this book the author covers: the philosophical presentation of Pluralism; using a formal theory of logic metaphorically; rigour and proof for the Pluralist; and mathematical fixtures. In the third part the author goes on to focus on the transcendental presentation of Pluralism, and in part four looks at applications of Pluralism, such as a Pluralist approach to proof in mathematics and how Pluralism works in regard to together-inconsistent philosophies of mathematics. The book finishes with suggestions for further Pluralist enquiry. In this work the author takes a deeply radical approach in developing a new position that will either convert readers, or act as a strong warning to treat the word ‘pluralism’ with care.