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Philosophy of Mathematics in Antiquity and in Modern Times

BuchKartoniert, Paperback
317 Seiten
Englisch
Springererschienen am11.06.20242023
These include, for example, questions about the ontological status of mathematical objects (e.g., what is the nature of mathematical objects?) and the epistemological status of mathematical theorems (e.g., from what sources do we draw when we prove mathematical theorems?).mehr
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EUR139,09
BuchKartoniert, Paperback
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Produkt

KlappentextThese include, for example, questions about the ontological status of mathematical objects (e.g., what is the nature of mathematical objects?) and the epistemological status of mathematical theorems (e.g., from what sources do we draw when we prove mathematical theorems?).
Details
ISBN/GTIN978-3-031-27306-3
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2024
Erscheinungsdatum11.06.2024
Auflage2023
ReiheScience Networks. Historical Studies
Seiten317 Seiten
SpracheEnglisch
Gewicht505 g
IllustrationenXI, 317 p. 2 illus.
Artikel-Nr.56452453

Inhalt/Kritik

Inhaltsverzeichnis
The concept of mathematics.- Plato's philosophy of mathematics.- The Aristotelian conception of mathematics.- The axiomatic method of Euclid.- Finitism in Greek mathematics.- The paradoxes of Zeno.- On certainty in mathematics.- The Cartesian nativism, the Prometheus myth, Augustinian illuminism, and Cartesian rationalism.- John Locke's thoughts on mathematics.- Rationalism.- Empiricism in mathematics.- Immanuel Kant's conception of mathematics.- Psychologism in mathematics.- Logicism.- The concept of "set".- Contemporary Platonism.- The problem of non-constructive proofs of existence.- The formal and the contentual position.- Dedekind and the emergence of structuralism.- Hilbert's critical philosophy.- Epilogue.- Index of names.- Index of subjects.- Index of abbreviations.mehr

Autor

Ulrich Felgner is a retired professor of mathematics at the University of Tübingen. He studied at the Universities of Giessen, Besancon and Frankfurt/M, received his doctorate in 1968 in Tübingen and habilitated in Heidelberg in 1973. He worked as a Professor at the Universities of Heidelberg, Freiburg and Tübingen. His main areas of research are Algebra, Mathematical Logic, Set Theory, as well as Foundations, History and Philosophy of Mathematics.