This is a work in the philosophy of mathematics, about some philosophical issues connected with set theory, especially the conceptual question of the semantics of set theory. Specifically, some aspects of the classical philosophical question concerning the notion of model of axiomatic set theory are discussed. The standpoint is not Platonist, but in a broad sense Neo-Kantian, identifying the crucial feature of mathematical 'reality' in the objectivity of concepts, understood as something which by its own essence holds in an autonomous realm of pure validity. The actual practice of the mathematical study of models of set theory is taken as a datum for philosophical reflection.
What is a model of axiomatic set theory?
BELLOTTI, LUCA
2012-01-01
Abstract
This is a work in the philosophy of mathematics, about some philosophical issues connected with set theory, especially the conceptual question of the semantics of set theory. Specifically, some aspects of the classical philosophical question concerning the notion of model of axiomatic set theory are discussed. The standpoint is not Platonist, but in a broad sense Neo-Kantian, identifying the crucial feature of mathematical 'reality' in the objectivity of concepts, understood as something which by its own essence holds in an autonomous realm of pure validity. The actual practice of the mathematical study of models of set theory is taken as a datum for philosophical reflection.| File | Dimensione | Formato | |
|---|---|---|---|
|
whatis_ets.pdf
solo utenti autorizzati
Tipologia:
Versione finale editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
1.7 MB
Formato
Adobe PDF
|
1.7 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
