Potentialism

After talking about the infinite and Frege Arithmetic, it is time to turn to potentialism about set-theory. In this session we will turn to potentiality about the height of the cumulative hierarchy.

Main Readings:

• Soysal, Z. (2024). Why be a Height Potentialist?. Journal for the Philosophy of Mathematics, 1, 155–175. https://doi.org/10.36253/jpm-2938

Our second meeting of the year continues along the lines of potentialism. Now we turn to Frege Arithmetic and a genuinely potentialist account of it.

Next reading will be Solomon Feferman’s Conceptions of the Continuum, available here.

Marta will present the paper, followed by a discussion.

Slides used in the presentation are available here.