Philosophy of Mathematics:
A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholarsMathematics 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 s...
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2017]
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| Schriftenreihe: | Princeton Foundations of Contemporary Philosophy
15 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAB01 FCO01 FHA01 FKE01 FLA01 UPA01 UBG01 Volltext |
| Zusammenfassung: | A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholarsMathematics 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 trying to answer that question: the philosophy of mathematics.Written by Øystein Linnebo, one of the world's leading scholars on the subject, the book introduces all of the classical approaches to the field, including logicism, formalism, intuitionism, empiricism, and structuralism. It also contains accessible introductions to some more specialized issues, such as mathematical intuition, potential infinity, the iterative conception of sets, and the search for new mathematical axioms. The groundbreaking work of German mathematician and philosopher Gottlob Frege, one of the founders of analytic philosophy, figures prominently throughout the book. Other important thinkers whose work is introduced and discussed include Immanuel Kant, John Stuart Mill, David Hilbert, Kurt Gödel, W. V. Quine, Paul Benacerraf, and Hartry H. Field.Sophisticated but clear and approachable, this is an essential introduction for all students and teachers of philosophy, as well as mathematicians and others who want to understand the foundations of mathematics |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Mai 2019) |
| Beschreibung: | 1 online resource |
| ISBN: | 9781400885244 |
| DOI: | 10.1515/9781400885244 |
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| 520 | |a A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholarsMathematics 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 trying to answer that question: the philosophy of mathematics.Written by Øystein Linnebo, one of the world's leading scholars on the subject, the book introduces all of the classical approaches to the field, including logicism, formalism, intuitionism, empiricism, and structuralism. It also contains accessible introductions to some more specialized issues, such as mathematical intuition, potential infinity, the iterative conception of sets, and the search for new mathematical axioms. The groundbreaking work of German mathematician and philosopher Gottlob Frege, one of the founders of analytic philosophy, figures prominently throughout the book. Other important thinkers whose work is introduced and discussed include Immanuel Kant, John Stuart Mill, David Hilbert, Kurt Gödel, W. V. Quine, Paul Benacerraf, and Hartry H. Field.Sophisticated but clear and approachable, this is an essential introduction for all students and teachers of philosophy, as well as mathematicians and others who want to understand the foundations of mathematics | ||
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Datensatz im Suchindex
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| author | Linnebo, Øystein |
| author_facet | Linnebo, Øystein |
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| author_sort | Linnebo, Øystein |
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| dewey-full | 510.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.1 |
| dewey-search | 510.1 |
| dewey-sort | 3510.1 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1515/9781400885244 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T18:54:16Z |
| indexdate | 2024-07-10T09:18:46Z |
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| isbn | 9781400885244 |
| language | English |
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| publishDate | 2017 |
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| publisher | Princeton University Press |
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| series2 | Princeton Foundations of Contemporary Philosophy |
| spelling | Linnebo, Øystein Verfasser aut Philosophy of Mathematics Øystein Linnebo Princeton, NJ Princeton University Press [2017] © 2017 1 online resource txt rdacontent c rdamedia cr rdacarrier Princeton Foundations of Contemporary Philosophy 15 Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Mai 2019) A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholarsMathematics 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 trying to answer that question: the philosophy of mathematics.Written by Øystein Linnebo, one of the world's leading scholars on the subject, the book introduces all of the classical approaches to the field, including logicism, formalism, intuitionism, empiricism, and structuralism. It also contains accessible introductions to some more specialized issues, such as mathematical intuition, potential infinity, the iterative conception of sets, and the search for new mathematical axioms. The groundbreaking work of German mathematician and philosopher Gottlob Frege, one of the founders of analytic philosophy, figures prominently throughout the book. Other important thinkers whose work is introduced and discussed include Immanuel Kant, John Stuart Mill, David Hilbert, Kurt Gödel, W. V. Quine, Paul Benacerraf, and Hartry H. Field.Sophisticated but clear and approachable, this is an essential introduction for all students and teachers of philosophy, as well as mathematicians and others who want to understand the foundations of mathematics In English Philosophie gnd Mathematik gnd PHILOSOPHY / General bisacsh Mathematics Philosophy https://doi.org/10.1515/9781400885244 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Linnebo, Øystein Philosophy of Mathematics Philosophie gnd Mathematik gnd PHILOSOPHY / General bisacsh Mathematics Philosophy |
| title | Philosophy of Mathematics |
| title_auth | Philosophy of Mathematics |
| title_exact_search | Philosophy of Mathematics |
| title_exact_search_txtP | Philosophy of Mathematics |
| title_full | Philosophy of Mathematics Øystein Linnebo |
| title_fullStr | Philosophy of Mathematics Øystein Linnebo |
| title_full_unstemmed | Philosophy of Mathematics Øystein Linnebo |
| title_short | Philosophy of Mathematics |
| title_sort | philosophy of mathematics |
| topic | Philosophie gnd Mathematik gnd PHILOSOPHY / General bisacsh Mathematics Philosophy |
| topic_facet | Philosophie Mathematik PHILOSOPHY / General Mathematics Philosophy |
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