Hugendubel.info - Die B2B Online-Buchhandlung 

Merkliste
Die Merkliste ist leer.
Bitte warten - die Druckansicht der Seite wird vorbereitet.
Der Druckdialog öffnet sich, sobald die Seite vollständig geladen wurde.
Sollte die Druckvorschau unvollständig sein, bitte schliessen und "Erneut drucken" wählen.

Philosophy of Mathematics in Antiquity and in Modern Times

BuchGebunden
317 Seiten
Englisch
Springererschienen am11.06.20231st ed. 2023
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
Verfügbare Formate
BuchGebunden
EUR139,09
BuchKartoniert, Paperback
EUR139,09
E-BookPDF1 - PDF WatermarkE-Book
EUR128,39

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/GTIN978-3-031-27303-2
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2023
Erscheinungsdatum11.06.2023
Auflage1st ed. 2023
ReiheScience Networks. Historical Studies
Seiten317 Seiten
SpracheEnglisch
IllustrationenXI, 317 p. 2 illus.
Artikel-Nr.51984129

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.