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Cover: 9780195139303 | Philosophy of Mathematics | Structure and Ontology | Stewart Shapiro
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Philosophy of Mathematics
Structure and Ontology
Taschenbuch von Stewart Shapiro
Sprache: Englisch

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Beschreibung
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 these questions that have attracted lively debate in recent years, Stewart Shapiro argues that standard realist and antirealist accounts of mathematics are both 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, existing independently, but simply a natural structure, the pattern common to any system that follows the general laws of addition. Shapiro concludes by showing how his approach can be applied to wider philosophical questions such as the nature of an object. Clear, compelling, and tautly argued it will be of deep interest to both philosophers and mathematicians.
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 these questions that have attracted lively debate in recent years, Stewart Shapiro argues that standard realist and antirealist accounts of mathematics are both 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, existing independently, but simply a natural structure, the pattern common to any system that follows the general laws of addition. Shapiro concludes by showing how his approach can be applied to wider philosophical questions such as the nature of an object. Clear, compelling, and tautly argued it will be of deep interest to both philosophers and mathematicians.
Über den Autor
Stewart Shapiro is Professor of Philosophy at Ohio State University at Newark and the University of St. Andrews, Scotland.
Details
Erscheinungsjahr: 2000
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
ISBN-13: 9780195139303
ISBN-10: 0195139305
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Shapiro, Stewart
Hersteller: Oxford University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 17 mm
Von/Mit: Stewart Shapiro
Erscheinungsdatum: 01.03.2000
Gewicht: 0,478 kg
Artikel-ID: 120656944
Über den Autor
Stewart Shapiro is Professor of Philosophy at Ohio State University at Newark and the University of St. Andrews, Scotland.
Details
Erscheinungsjahr: 2000
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
ISBN-13: 9780195139303
ISBN-10: 0195139305
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Shapiro, Stewart
Hersteller: Oxford University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 17 mm
Von/Mit: Stewart Shapiro
Erscheinungsdatum: 01.03.2000
Gewicht: 0,478 kg
Artikel-ID: 120656944
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