Buch, Englisch, Band 12, 248 Seiten, Format (B × H): 155 mm x 235 mm
Exploring Disagreement and Agreement among Practitioners
Buch, Englisch, Band 12, 248 Seiten, Format (B × H): 155 mm x 235 mm
Reihe: Studies in Theoretical Philosophy
ISBN: 978-3-465-04643-1
Verlag: Vittorio Klostermann
Many believe mathematical truth is indisputable. However, the set-theoretic independence phenomenon challenges this idea. Certain statements about infinite sets, like the continu-um hypothesis, are neither true nor false according to the standard axioms.
While philosophers have offered various diagnoses of this problem, this book posits that the set-theoretic community is key to solving the issue, proposing a pragmatic approach. It presents the first extensive empirical study, featuring inter-views with 28 set theorists from varied backgrounds. It ex-plores the spectrum of disagreement and agreement among practitioners, predicting whether the community will adopt new axioms. Overall, this book demonstrates the potential of empirical research for philosophical purposes, also contributing to de-bates in social epistemology. It addresses a complex problem, applies a novel sociological method, and reveals much about the inner workings of a scientific community in the founda-tions of mathematics.
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While philosophers have offered various diagnoses of this problem, this book posits that the set-theoretic community is key to solving the issue, proposing a pragmatic approach. It presents the first extensive empirical study, featuring inter-views with 28 set theorists from varied backgrounds. It ex-plores the spectrum of disagreement and agreement among practitioners, predicting whether the community will adopt new axioms. Overall, this book demonstrates the potential of empirical research for philosophical purposes, also contributing to de-bates in social epistemology. It addresses a complex problem, applies a novel sociological method, and reveals much about the inner workings of a scientific community in the founda-tions of mathematics.
Zielgruppe
Analytische Philosophen, Mathematiker
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
- Geisteswissenschaften Philosophie Erkenntnistheorie
- Geisteswissenschaften Philosophie Moderne Philosophische Disziplinen Analytische Philosophie
- Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
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