Introducing philosophy of mathematics /:
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...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London :
Routledge,
2014.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | Previously issued in print: Chesham: Acumen, 2006. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781317493785 1317493788 9781317493792 1317493796 9781317493778 131749377X 9781315712055 1315712059 |
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| 520 | |a 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. | ||
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| spelling | Friend, Michèle, author. Introducing philosophy of mathematics / Michele Friend. London : Routledge, 2014. ©2007 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Previously issued in print: Chesham: Acumen, 2006. CIP data; resource not viewed. Includes bibliographical references and index. 1. Infinity -- 2. Mathematical platonism and realism -- 3. Logicism -- 4. Structuralism -- 5. Constructivism -- 6. A pot-pourri of philosophies of mathematics. 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. Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Mathématiques Philosophie. Mathematics Philosophy fast Print version 9781844650606 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=924373 Volltext |
| spellingShingle | Friend, Michèle Introducing philosophy of mathematics / 1. Infinity -- 2. Mathematical platonism and realism -- 3. Logicism -- 4. Structuralism -- 5. Constructivism -- 6. A pot-pourri of philosophies of mathematics. Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Mathématiques Philosophie. Mathematics Philosophy fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082153 |
| title | Introducing philosophy of mathematics / |
| title_auth | Introducing philosophy of mathematics / |
| title_exact_search | Introducing philosophy of mathematics / |
| title_full | Introducing philosophy of mathematics / Michele Friend. |
| title_fullStr | Introducing philosophy of mathematics / Michele Friend. |
| title_full_unstemmed | Introducing philosophy of mathematics / Michele Friend. |
| title_short | Introducing philosophy of mathematics / |
| title_sort | introducing philosophy of mathematics |
| topic | Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Mathématiques Philosophie. Mathematics Philosophy fast |
| topic_facet | Mathematics Philosophy. Mathématiques Philosophie. Mathematics Philosophy |
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