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Philosophy of Mathematics. Definitions and Mathematical Knowledge a.y. 2021/22

Programma

We will discuss some of the basic themes in the philosophy of mathematics, as they have developed from the origins of the debate on the foundations of mathematics up to their contemporary setting or reformulation. In particular, we will focus on the semantic analysis of mathematical discourse, especially on the crucial role of mathematical definitions, both in providing rigorous formal settings for mathematical reasoning and, more controversially, in securing mathematical knowledge.

Svolgimento

January 25th, 2021, h. 14-17
January 26th, 2021, h. 11-13 + 14-16
January 27th, 2021, h. 14-17

Bibliografia

Lectures will be based on selected readings from:

- Linnebo, Ø. (2018), Philosophy of Mathematics, Princeton University Press, Chapter I.
- Panza, M., Sereni, (2013), A., Plato's Problem. An Introduction to Mathematical Platonism, Palgrave MacMillan, 2013.
- Potter, Michael (2000), Reason’s Nearest Kin,  Oxford University Press.
- Coffa, A. (1991). The Semantic Tradition from Kant to Carnap: To the Vienna Station. Cambridge: Cambridge University Press. 

A final list of readings will be established during classes.

Esame

The evaluation will be based on an oral exam.

Credits:2

Andrea Sereni

Professore Associato di Filosofia e Teoria dei linguaggi

Ciclo : XXXVII

Tipologia corso : Tipo a

Periodo: Semestre I

Anno accademico: 2021-2022

Luogo : Iuss, aula 1-16

Durata : 10 ore