Search Results: the-philosophy-of-mathematics-oxford-readings-in-philosophy

The philosophy of mathematics

Author: Jaakko Hintikka

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 186

View: 1929

The Philosophy of Mathematics

Author: Wilbur Dyre Hart

Publisher: Oxford University Press on Demand

ISBN: 9780198751205

Category: Mathematics

Page: 316

View: 5776

This volume offers a selection of the most interesting and important work from recent years in the philosophy of mathematics, which has always been closely linked to, and has exerted a significant influence upon, the main stream of analytical philosophy. The issues discussed are of interest throughout philosophy, and no mathematical expertise is required of the reader. Contributors include W.V. Quine, W.D. Hart, Michael Dummett, Charles Parsons, Paul Benacerraf, Penelope Maddy, W.W. Tait, Hilary Putnam, George Boolos, Daniel Isaacson, Stewart Shapiro, and Hartry Field.

Neo-Aristotelian Perspectives in Metaphysics

Author: Daniel D. Novotný,Lukáš Novák

Publisher: Routledge

ISBN: 1134630093

Category: Philosophy

Page: 342

View: 7909

This volume re-examines some of the major themes at the intersection of traditional and contemporary metaphysics. The book uses as a point of departure Francisco Suárez’s Metaphysical Disputations published in 1597. Minimalist metaphysics in empiricist/pragmatist clothing have today become mainstream in analytic philosophy. Independently of this development, the progress of scholarship in ancient and medieval philosophy makes clear that traditional forms of metaphysics have affinities with some of the streams in contemporary analytic metaphysics. The book brings together leading contemporary metaphysicians to investigate the viability of a neo-Aristotelian metaphysics.

Einführung in die mathematische Philosophie

Author: Bertrand Russell

Publisher: N.A

ISBN: 3787321020

Category: Philosophy

Page: 237

View: 4574

Dem Versuch, die These zu stützen, daß Logik und Mathematik eins seien, hat Russell mehrere Bücher gewidmet, unter anderem das dreibändige, gemeinsam mit A. N. Whitehead verfaßte Werk "Principia Mathematica" (1910-1913). Die "Einführung in die mathematische Philosophie" faßt die Ergebnisse dieser Untersuchungen zusammen, ohne Kenntnisse der mathematischen Symbolik vorauszusetzen. Sie ist zuweilen und mit Recht "eine bewundernswerte Exposition des Monumentalwerks Principia Mathematica" genannt worden; und sie ist zugleich etwas anderes, insofern sie eine relativ eigenständige Einführung in die Grundlagen der Mathematik und der Erkenntnistheorie darstellt.Das Buch entstand 1918 im Gefängnis von Brixton, wo Russell eine sechsmonatige Haftstrafe für seine pazifistische Tätigkeit während des 1. Weltkrieges absaß. Es ist sehr anregend zu lesen, wie beinahe alles, was Bertrand Russell geschrieben hat, und es ist ein Buch von der Art, wie es nur jemand wie Russell schreiben kann, wenn er im Gefängnis sitzt und keine Hilfsmittel hat und sich daher entschließt, allen technischen Ballast abzustreifen. Anders als die heute üblichen Texte im Bereich der Philosophie der Mathematik läßt Russell seine Leser immer an seinem Denken teilhaben, an seinen Vermutungen und Irrtümern und an der Begeisterung, die er bei der Beschäftigung mit seinem Gegenstand empfindet. Da er einer der herausragenden Protagonisten des modernen wissenschaftlichen Empirismus und einer der Begründer der heute dominierenden Philosophie der Mathematik ist, gewinnt man auf diese Weise aus seinen Schriften einen einzigartigen Einblick in die Wechselfälle und Ideen der erkenntnistheoretischen und logischen Diskussionen dieses Jahrhunderts.Die Ausgabe bietet eine revidierte Fassung der deutschen Übersetzung des in den 20er Jahren prominenten Mathematikers E. J. Gumbel sowie W. Gordon.

Introducing Philosophy of Mathematics

Author: Michele Friend

Publisher: Routledge

ISBN: 1317493796

Category: Philosophy

Page: 240

View: 7000

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.

Die Grundlagen der Arithmetik

eine logisch-mathematische untersuchung über den begriff der zahl

Author: Gottlob Frege

Publisher: Georg Olms Verlag

ISBN: 9783487400280

Category:

Page: 119

View: 5473

Wittgenstein and the Turning Point in the Philosophy of Mathematics

Author: S.G. Shanker

Publisher: Routledge

ISBN: 1317832035

Category: Philosophy

Page: 376

View: 1402

First published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.

Québec Studies in the Philosophy of Science

Part I: Logic, Mathematics, Physics and History of Science

Author: Mathieu Marion,Robert S. Cohen

Publisher: Springer Science & Business Media

ISBN: 9400915756

Category: Science

Page: 332

View: 1078

By North-American standards, philosophy is not new in Quebec: the first men tion of philosophy lectures given by a Jesuit in the College de Quebec (founded 1635) dates from 1665, and the oldest logic manuscript dates from 1679. In English-speaking universities such as McGill (founded 1829), philosophy began to be taught later, during the second half of the 19th century. The major influence on English-speaking philosophers was, at least initially, that of Scottish Empiricism. On the other hand, the strong influence of the Catholic Church on French-Canadian society meant that the staff of the facultes of the French-speaking universities consisted, until recently, almost entirely of Thomist philosophers. There was accordingly little or no work in modem Formal Logic and Philosophy of Science and precious few contacts between the philosophical communities. In the late forties, Hugues Leblanc was a young student wanting to learn Formal Logic. He could not find anyone in Quebec to teach him and he went to study at Harvard University under the supervision of W. V. Quine. His best friend Maurice L' Abbe had left, a year earlier, for Princeton to study with Alonzo Church. After receiving his Ph. D from Harvard in 1948, Leblanc started his profes sional career at Bryn Mawr College, where he stayed until 1967. He then went to Temple University, where he taught until his retirement in 1992, serving as Chair of the Department of Philosophy from 1973 until 1979.

Principia Mathematica.

Author: Alfred North Whitehead,Bertrand Russell

Publisher: N.A

ISBN: N.A

Category: Logic, Symbolic and mathematical

Page: 167

View: 3679

Calendar

Author: University of Cape Town

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 7182

Das Wahrheitsproblem und die Idee der Semantik

Eine Einführung in die Theorien von A. Tarski und R. Carnap

Author: Wolfgang Stegmüller

Publisher: Springer-Verlag

ISBN: 3709136245

Category: Juvenile Nonfiction

Page: 328

View: 7838

Die vorliegende Arbeit wurde zu dem Zwecke abgefaßt, eine Einführung in die reine oder nichtempirische Semantik zu geben, die sich in den letzten Jahren zu einem eigenen Forschungszweig entwickelt hat. Immer mehr dringt in der Philosophie der Gegenwart die Erkenntnis durch, daß philosophische Untersuchungen zu einem guten Teil sprachlogischer und sprachkritischer Art sein müssen, und im Rahmen solcher Untersuchungen nehmen jene der Semantik eine zentrale Stellung ein. Während die Logikkalküle nur mit der traditionellen formalen Logik in einem gewissen historischen Zusammenhang stehen, ist der Kontakt zwischen der Semantik und den althergebrachten philosophischen Pro blemen ein viel engerer. Dort steht bloß der Begrüf der logischen Deduk tion im Vordergrund, hier hingegen der wichtigste Begriff der Erkenntnis theorie, nämlich der Begriff des wahren Urteils bzw. der wahren Aussage. Über die Bedeutung einer Explikation des Wahrheitsbegriffs braucht man wohl kaum Worte zu verlieren angesichts der Tatsache, daß unser ganzes Erkenntnisstreben darauf abzielt, zu wahren Urteilen oder Sätzen zu gelangen. Eine Beantwortung der Frage, was man unter einem wahren Urteil bzw. einer wahren Aussage zu verstehen habe, wird nicht innerhalb der Einzelwissenschaften gegeben, sondern ist seit jeher dem Philosophen überlassen worden.

Philosophies of the Sciences

A Guide

Author: Fritz Allhoff

Publisher: John Wiley & Sons

ISBN: 9781444315585

Category: Science

Page: 368

View: 7336

A collection of essays discussing a wide range of sciences and the central philosophical issues associated with them, presenting the sciences collectively to encourage a greater understanding of their associative theoretical foundations, as well as their relationships to each other. Offers a new and unique approach to studying and comparing the philosophies of a variety of scientific disciplines Explores a wide variety of individual sciences, including mathematics, physics, chemistry, biology, psychology, sociology and economics The essays are written by leading scholars in a highly accessible style for the student audience Complements more traditional studies of philosophy of science

Formale und handlungstheoretische Sprachbetrachtung

Author: Meinert Meyer

Publisher: N.A

ISBN: N.A

Category: Language and languages

Page: 288

View: 1350

Scientific Inquiry

Readings in the Philosophy of Science

Author: Robert Klee

Publisher: Oxford University Press, USA

ISBN: N.A

Category: Science

Page: 352

View: 1650

Scientific Inquiry: Readings in the Philosophy of Science features an impressive collection of classical and contemporary readings on a wide range of issues in the philosophy of science. The volume is organized into six sections, each with its own introduction, and includes a general introduction that situates the philosophy of science in relation to other areas of intellectual inquiry. The selections focus on the main issues in the field, including the structure of scientific theories, models of scientific explanation, reductionism, historicist challenges to the objectivity of science, and the dispute over the ontological interpretation of mature scientific theories. Both the positivist model of science and its competitors, including contemporary social constructivist models, are included. Ideal for introductory philosophy of science courses, Scientific Inquiry strives to provide students and other readers with a thorough knowledge of the philosophical complexity of modern science and an appreciation of its authoritative intellectual standing in contemporary life.

The Oxford Companion to Philosophy

Author: Ted Honderich

Publisher: OUP Oxford

ISBN: 0191037478

Category: Philosophy

Page: 1088

View: 7040

Oxford University Press presents a major new edition of the definitive philosophical reference work for readers at all levels. For ten years the original volume has served as a stimulating introduction for general readers and as an indispensable guide for students; its breadth and depth of coverage have ensured that it is also read with pleasure and interest by those working at a higher level in philosophy and related disciplines. A distinguished international assembly of 249 philosophers contributed almost 2,000 entries, and many of these have now been considerably revised and updated; to these are added over 300 brand-new pieces on a fascinating range of current topics. This new edition offers enlightening and enjoyable discussions of all aspects of philosophy, and of the lives and work of the great philosophers from antiquity to the present day.

The philosophy of history

Author: Patrick L. Gardiner

Publisher: Oxford University Press, USA

ISBN: 9780198750314

Category: History

Page: 224

View: 1471

Danish Yearbook of Philosophy

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Philosophy

Page: N.A

View: 7825

Vom Calculus zum Chaos

Author: David J. Acheson

Publisher: Walter de Gruyter

ISBN: 3486598996

Category: Mathematics

Page: 301

View: 800

Eine spannende Abhandlung zu ausgewählten Fragen der Mechanik quer durch die Jahrhunderte der Physik. Ohne großen mathematischen Ballast zeigt Acheson, wie hier die Infinitesimalrechnung - oder auch Calculus - den passenden Schlüssel zum Verständnis liefert. Das dynamische Verhalten der vorgestellten Systeme wird sowohl analytisch als auch mit Simulationen untersucht. Dazu werden QBasic-Programme verwendet, die so einfach sind, daß sie jeder leicht zum Laufen bringen und seinen Fragestellungen entsprechend anpassen kann. Der Inhalt wird durch historische Darstellungen der Mechanik und durch Bilder berühmter Physiker und Faksimiles ihrer Originaltexte bereichert. Das Buch für Studenten und Dozenten der Mathematik und Physik ist auch für interessierte Schüler der Oberstufe geeignet.

Appraising Lakatos

Mathematics, Methodology, and the Man

Author: György Kampis,Ladislav Kvasz,Michael Stoeltzner

Publisher: Springer Science & Business Media

ISBN: 9401707693

Category: Science

Page: 382

View: 4888

Imre Lakatos (1922-1974) was one of the protagonists in shaping the "new philosophy of science". More than 25 years after his untimely death, it is time for a critical re-evaluation of his ideas. His main theme of locating rationality within the scientific process appears even more compelling today, after many historical case studies have revealed the cultural and societal elements within scientific practices. Recently there has been, above all, an increasing interest in Lakatos' philosophy of mathematics, which emphasises heuristics and mathematical practice over logical justification. But suitable modifications of his approach are called for in order to make it applicable to modern axiomatised theories. Pioneering historical research in England and Hungary has unearthed hitherto unknown facts about Lakatos' personal life, his wartime activities and his involvement in the political developments of post-war Europe. From a communist activist committed to Györgyi Lukács' thinking, Lakatos developed into a staunch anti-Marxist who found his intellectual background in Popper's critical rationalism. The volume also publishes for the first time a part of his Debrecen Ph.D. thesis and it is concluded by a bibliography of his Hungarian writings.

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