Autore |
Felgner Ulrich
|
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa |
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023
|
Descrizione fisica |
1 online resource (314 pages)
|
Disciplina |
510.1
|
Collana |
Science Networks. Historical Studies
|
Soggetto topico |
Mathematical logic
Geometry
Mathematical Logic and Foundations
Filosofia de la matemàtica
Història de la matemàtica
|
Soggetto genere / forma |
Llibres electrònics
|
ISBN |
3-031-27304-4
|
Formato |
Materiale a stampa |
Livello bibliografico |
Monografia |
Lingua di pubblicazione |
eng
|
Nota di contenuto |
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.
|
Record Nr. | UNINA-9910731462303321 |