The aim of this Element is to provide an overview of abstractionism in the philosophy of mathematics. We shall distinguish between mathematical abstractionism, which interprets mathematical theories on the basis of abstraction principles, and philosophical abstractionism, which attributes a philosophical significance to mathematical abstractionism. We shall then survey the main semantic, ontological and epistemological theses that are associated with philosophical abstractionism. We shall finally suggest that the most recent developments in the debate pull abstractionism in different directions.
Abstractionism / Boccuni, Francesca; Zanetti, Luca. - (2024), pp. 1-80. [10.1017/9781009375139]
Abstractionism
Francesca BoccuniCo-primo
;
2024-01-01
Abstract
The aim of this Element is to provide an overview of abstractionism in the philosophy of mathematics. We shall distinguish between mathematical abstractionism, which interprets mathematical theories on the basis of abstraction principles, and philosophical abstractionism, which attributes a philosophical significance to mathematical abstractionism. We shall then survey the main semantic, ontological and epistemological theses that are associated with philosophical abstractionism. We shall finally suggest that the most recent developments in the debate pull abstractionism in different directions.| File | Dimensione | Formato | |
|---|---|---|---|
|
Boccuni-Zanetti - Abstractionism_CUP.pdf
solo gestori archivio
Tipologia:
PDF editoriale (versione pubblicata dall'editore)
Licenza:
Copyright dell'editore
Dimensione
2.32 MB
Formato
Adobe PDF
|
2.32 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.
