Philosophies of Mathematics

Produk Detail:
  • Author : Alexander L. George
  • Publisher : Wiley-Blackwell
  • Pages : 244 pages
  • ISBN : 9780631195443
  • Rating : /5 from reviews
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Download or Read online Philosophies of Mathematics full in PDF, ePub and kindle. this book written by Alexander L. George and published by Wiley-Blackwell which was released on 03 December 2001 with total page 244 pages. We cannot guarantee that Philosophies of Mathematics book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. This book provides an accessible, critical introduction to the three main approaches that dominated work in the philosophy of mathematics during the twentieth century: logicism, intuitionism and formalism.

Philosophies of Mathematics

Philosophies of Mathematics
  • Author : Alexander L. George,Daniel Velleman
  • Publisher : Wiley-Blackwell
  • Release : 03 December 2001
GET THIS BOOK Philosophies of Mathematics

This book provides an accessible, critical introduction to the three main approaches that dominated work in the philosophy of mathematics during the twentieth century: logicism, intuitionism and formalism.

Thinking about Mathematics

Thinking about Mathematics
  • Author : Stewart Shapiro
  • Publisher : OUP Oxford
  • Release : 13 July 2000
GET THIS BOOK Thinking about Mathematics

Thinking about Mathematics covers the range of philosophical issues and positions concerning mathematics. The text describes the questions about mathematics that motivated philosophers throughout history and covers historical figures such as Plato, Aristotle, Kant, and Mill. It also presents the major positions and arguments concerning mathematics throughout the twentieth century, bringing the reader up to the present positions and battle lines.

Philosophy of Mathematics

Philosophy of Mathematics
  • Author : Stewart Shapiro
  • Publisher : Oxford University Press on Demand
  • Release : 07 August 1997
GET THIS BOOK Philosophy of Mathematics

Shapiro argues that both realist and anti-realist accounts of mathematics are problematic. To resolve this dilemma, he articulates a "structuralist" approach, arguing that the subject matter of a mathematical theory is not a fixed domain of numbers that exist independent of each other, but rather is the natural structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle.

Philosophy of Mathematics

Philosophy of Mathematics
  • Author : Øystein Linnebo
  • Publisher : Princeton University Press
  • Release : 30 May 2017
GET THIS BOOK Philosophy of Mathematics

A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholars Mathematics is one of humanity's most successful yet puzzling endeavors. It is a model of precision and objectivity, but appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic yet accessible introduction to the field that is

Philosophy of Mathematics

Philosophy of Mathematics
  • Author : Ahmet Cevik
  • Publisher : CRC Press
  • Release : 09 November 2021
GET THIS BOOK Philosophy of Mathematics

The philosophy of mathematics is an exciting subject. Philosophy of Mathematics: Classic and Contemporary Studies explores the foundations of mathematical thought. The aim of this book is to encourage young mathematicians to think about the philosophical issues behind fundamental concepts and about different views on mathematical objects and mathematical knowledge. With this new approach, the author rekindles an interest in philosophical subjects surrounding the foundations of mathematics. He offers the mathematical motivations behind the topics under debate. He introduces various

Philosophy of Mathematics

Philosophy of Mathematics
  • Author : Thomas Bedürftig,Roman Murawski
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 26 October 2018
GET THIS BOOK Philosophy of Mathematics

The present book is an introduction to the philosophy of mathematics. It asks philosophical questions concerning fundamental concepts, constructions and methods - this is done from the standpoint of mathematical research and teaching. It looks for answers both in mathematics and in the philosophy of mathematics from their beginnings till today. The reference point of the considerations is the introducing of the reals in the 19th century that marked an epochal turn in the foundations of mathematics. In the book

Philosophy of Mathematics

Philosophy of Mathematics
  • Author : James Robert Brown
  • Publisher : Routledge
  • Release : 17 March 2010
GET THIS BOOK Philosophy of Mathematics

In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value? This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of computers in mathematics, as well as traditional topics

Philosophy of Mathematics Today

Philosophy of Mathematics Today
  • Author : E. Agazzi,György Darvas
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOK Philosophy of Mathematics Today

Mathematics is often considered as a body of knowledge that is essen tially independent of linguistic formulations, in the sense that, once the content of this knowledge has been grasped, there remains only the problem of professional ability, that of clearly formulating and correctly proving it. However, the question is not so simple, and P. Weingartner's paper (Language and Coding-Dependency of Results in Logic and Mathe matics) deals with some results in logic and mathematics which reveal that certain notions

Wittgenstein s Philosophy of Mathematics

Wittgenstein s Philosophy of Mathematics
  • Author : Pasquale Frascolla
  • Publisher : Routledge
  • Release : 05 December 2006
GET THIS BOOK Wittgenstein s Philosophy of Mathematics

Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal relations'.

An Historical Introduction to the Philosophy of Mathematics A Reader

An Historical Introduction to the Philosophy of Mathematics  A Reader
  • Author : Russell Marcus,Mark McEvoy
  • Publisher : Bloomsbury Publishing
  • Release : 11 February 2016
GET THIS BOOK An Historical Introduction to the Philosophy of Mathematics A Reader

A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle,

The Oxford Handbook of Philosophy of Mathematics and Logic

The Oxford Handbook of Philosophy of Mathematics and Logic
  • Author : Stewart Shapiro
  • Publisher : Oxford University Press
  • Release : 10 February 2005
GET THIS BOOK The Oxford Handbook of Philosophy of Mathematics and Logic

Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these topics

From Foundations to Philosophy of Mathematics

From Foundations to Philosophy of Mathematics
  • Author : Joan Roselló
  • Publisher : Cambridge Scholars Publishing
  • Release : 18 October 2011
GET THIS BOOK From Foundations to Philosophy of Mathematics

From Foundations to Philosophy of Mathematics provides an historical introduction to the most exciting period in the foundations of mathematics, starting with the discovery of the paradoxes of logic and set theory at the beginning of the twentieth century and continuing with the great foundational debate that took place in the 1920s. As a result of the efforts of several mathematicians and philosophers during this period to ground mathematics and to clarify its nature from a certain philosophical standpoint, the

Kant s Philosophy of Mathematics Volume 1 The Critical Philosophy and its Roots

Kant s Philosophy of Mathematics  Volume 1  The Critical Philosophy and its Roots
  • Author : Carl Posy,Ofra Rechter
  • Publisher : Cambridge University Press
  • Release : 31 January 2020
GET THIS BOOK Kant s Philosophy of Mathematics Volume 1 The Critical Philosophy and its Roots

The late 1960s saw the emergence of new philosophical interest in Kant's philosophy of mathematics, and since then this interest has developed into a major and dynamic field of study. In this state-of-the-art survey of contemporary scholarship on Kant's mathematical thinking, Carl Posy and Ofra Rechter gather leading authors who approach it from multiple perspectives, engaging with topics including geometry, arithmetic, logic, and metaphysics. Their essays offer fine-grained analysis of Kant's philosophy of mathematics in the context of his Critical

The Philosophy of Mathematics and Natural Laws

The Philosophy of Mathematics and Natural Laws
  • Author : Noel Curran
  • Publisher : Routledge
  • Release : 23 July 2019
GET THIS BOOK The Philosophy of Mathematics and Natural Laws

First published in 1997, this title is a sequel to Dr Noel Curran's first book The Logical Universe: The Real Universe (published by Ashgate under the Avebury imprint, 1994). The philosophy of mathematics in this book is based on ideas of Sir William Rowan Hamilton on the ordinal character of numbers, the real numbers, the measure numbers, scalar numbers and the extension to vectors. The final extension is to Hamilton’s quaternions. This algebra is interpreted as the mathematics of spin. This