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Lecturer: L. Zanetti
“Ad Hoc classes (PhD Project: Epistemology and Philosophy of Mathematics and Logic)”

 

Seminar "Semantic Engineering" - a.y. 2020/21

Programma

The history of mathematics shows that mathematical definitions have often been reshaped in order to be adapted to new applications. After some preliminary remarks on the relations between informal conceptions, formal definitions, and mathematical concepts, we will consider some paradigmatic examples of semantic shifts in mathematics. We will discuss some consequences for ‘conceptual engineering’ at large, as well as for the innateness, uniqueness, and revisability of mathematical concepts.

Svolgimento

February 22nd, 2021, 9-13
February 26th, 2021, 9-13

Bibliografia

  • Antonelli, G. Aldo (1999). “Conceptions and paradoxes of sets”. Philosophia Mathematica 7 (2): 136-163.
  • Paseau, Alexander (2003). “The open-endedness of the set concept and the semantics of set theory”. Synthese 135 (3):379 - 399.
  • Tanswell, Fenner (2018). “Conceptual engineering for mathematical concepts”. Inquiry 61 (8): 881-913.

Esame

Evaluation will be based on readings + active participation to classes

Ciclo : XXXVI

Tipologia corso : Tipo a

Periodo: Semestre I

Anno accademico: 2020-2021

Luogo : on line

Durata : 8 ore