home libri books Fumetti ebook dvd top ten sconti 0 Carrello


Torna Indietro

felgner ulrich - philosophy of mathematics in antiquity and in modern times

Philosophy of Mathematics in Antiquity and in Modern Times




Disponibilità: Normalmente disponibile in 10 giorni


PREZZO
140,98 €
NICEPRICE
133,93 €
SCONTO
5%



Questo prodotto usufruisce delle SPEDIZIONI GRATIS
selezionando l'opzione Corriere Veloce in fase di ordine.


Pagabile anche con Carta della cultura giovani e del merito, 18App Bonus Cultura e Carta del Docente


Facebook Twitter Aggiungi commento


Spese Gratis

Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Birkhäuser

Pubblicazione: 06/2023
Edizione: 1st ed. 2023





Trama

»Philosophy of Mathematics« is understood, in this book, as an effort to clarify such questions that mathematics itself raises but cannot answer with its own methods. 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?). The answers given by Plato, Aristotle, Euclid, Descartes, Locke, Leibniz, Kant, Cantor, Frege, Dedekind, Hilbert and others will be studied in detail. This will lead us to deep insights, not only into the history of mathematics, but also into the conception of mathematics as it is commonly held in the present time.

The book is a translation from the German, however revised and considerably expanded. Various chapters have been completely rewritten.






Sommario

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.





Autore

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.











Altre Informazioni

ISBN:

9783031273032

Condizione: Nuovo
Collana: Science Networks. Historical Studies
Dimensioni: 235 x 155 mm Ø 664 gr
Formato: Copertina rigida
Illustration Notes:XI, 317 p. 2 illus.
Pagine Arabe: 317
Pagine Romane: xi


Dicono di noi