Indispensability:
Our best scientific theories explain a wide range of empirical phenomena, make accurate predictions, and are widely believed. Since many of these theories make ample use of mathematics, it is natural to see them as confirming its truth. Perhaps the use of mathematics in science even gives us reason...
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Cambridge ; New York ; Port Melbourne ; New Delhi ; Singapore
Cambridge University Press
2023
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Schriftenreihe: | Cambridge elements : elements in the philosophy of mathematics
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Zusammenfassung: | Our best scientific theories explain a wide range of empirical phenomena, make accurate predictions, and are widely believed. Since many of these theories make ample use of mathematics, it is natural to see them as confirming its truth. Perhaps the use of mathematics in science even gives us reason to believe in the existence of abstract mathematical objects such as numbers and sets. These issues lie at the heart of the Indispensability Argument, to which this Element is devoted. The Element's first half traces the evolution of the Indispensability Argument from its origins in Quine and Putnam's works, taking in naturalism, confirmational holism, Field's program, and the use of idealisations in science along the way. Its second half examines the explanatory version of the Indispensability Argument, and focuses on several more recent versions of easy-road and hard-road fictionalism respectively. |
Beschreibung: | Includes bibliographical references |
Beschreibung: | 57 Seiten |
ISBN: | 9781009096850 |
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520 | 3 | |a Our best scientific theories explain a wide range of empirical phenomena, make accurate predictions, and are widely believed. Since many of these theories make ample use of mathematics, it is natural to see them as confirming its truth. Perhaps the use of mathematics in science even gives us reason to believe in the existence of abstract mathematical objects such as numbers and sets. These issues lie at the heart of the Indispensability Argument, to which this Element is devoted. The Element's first half traces the evolution of the Indispensability Argument from its origins in Quine and Putnam's works, taking in naturalism, confirmational holism, Field's program, and the use of idealisations in science along the way. Its second half examines the explanatory version of the Indispensability Argument, and focuses on several more recent versions of easy-road and hard-road fictionalism respectively. | |
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Datensatz im Suchindex
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adam_text | Contents 1 Introduction 2 Naturalism and Holism 1 4 3 Hard Road Nominalism: Field s Program 13 4 An Objection from Scientific Practice 22 5 The Enhanced Indispensability Argument 30 6 Easy Road Fictionalism 38 7 Hard Road Fictionalism 47 8 Conclusions 52 References 54
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adam_txt |
Contents 1 Introduction 2 Naturalism and Holism 1 4 3 Hard Road Nominalism: Field's Program 13 4 An Objection from Scientific Practice 22 5 The Enhanced Indispensability Argument 30 6 Easy Road Fictionalism 38 7 Hard Road Fictionalism 47 8 Conclusions 52 References 54 |
any_adam_object | 1 |
any_adam_object_boolean | 1 |
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physical | 57 Seiten |
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series2 | Cambridge elements : elements in the philosophy of mathematics |
spelling | Paseau, Alexander 1974- Verfasser (DE-588)1127559281 aut Indispensability A. C. Paseau (University of Oxford), Alan Baker (Swarthmore College) Cambridge ; New York ; Port Melbourne ; New Delhi ; Singapore Cambridge University Press 2023 57 Seiten txt rdacontent n rdamedia nc rdacarrier Cambridge elements : elements in the philosophy of mathematics Includes bibliographical references Our best scientific theories explain a wide range of empirical phenomena, make accurate predictions, and are widely believed. Since many of these theories make ample use of mathematics, it is natural to see them as confirming its truth. Perhaps the use of mathematics in science even gives us reason to believe in the existence of abstract mathematical objects such as numbers and sets. These issues lie at the heart of the Indispensability Argument, to which this Element is devoted. The Element's first half traces the evolution of the Indispensability Argument from its origins in Quine and Putnam's works, taking in naturalism, confirmational holism, Field's program, and the use of idealisations in science along the way. Its second half examines the explanatory version of the Indispensability Argument, and focuses on several more recent versions of easy-road and hard-road fictionalism respectively. Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematics / Philosophy Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s DE-604 Baker, Alan 1969- Verfasser (DE-588)1297144449 aut Erscheint auch als Online-Ausgabe 9781009099042 Digitalisierung BSB München - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034324621&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Paseau, Alexander 1974- Baker, Alan 1969- Indispensability Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
subject_GND | (DE-588)4045791-6 (DE-588)4037944-9 |
title | Indispensability |
title_auth | Indispensability |
title_exact_search | Indispensability |
title_exact_search_txtP | Indispensability |
title_full | Indispensability A. C. Paseau (University of Oxford), Alan Baker (Swarthmore College) |
title_fullStr | Indispensability A. C. Paseau (University of Oxford), Alan Baker (Swarthmore College) |
title_full_unstemmed | Indispensability A. C. Paseau (University of Oxford), Alan Baker (Swarthmore College) |
title_short | Indispensability |
title_sort | indispensability |
topic | Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
topic_facet | Philosophie Mathematik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034324621&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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