Infinity: history, philosophy, mathematics

Project Start Year
2021
Project Area of Research
Project Description

The project aims at making novel and far-reaching contributions to some of the most central areas of contemporary philosophy of mathematics and philosophy of probability as they relate to infinity. The envisaged results include, among other things, decisive contributions to: the history of our conceptions of infinity; neo-logicism in philosophy of mathematics; the nature of abstraction principles as infinitary principles yielding finitistic results; alternative conceptions of probability; the concept of extension; the sources of our knowledge of counting and probabilistic reasoning.

UC PI
Paolo Mancosu
Paolo Mancosu
Department of Philosophy, UC Berkeley
France PI
Marco Panza
Marco Panza
Institut d'histoire et de philosophie des sciences et des techniques (IHPST), CNRS / Université Paris 1 - Panthéon-Sorbonne