Stewart Shapiro’s article, ‘Actual and Potential Infinity,’ co-authored with Oystein Linnebo, and published in Nous, vol. 53 (pp. 160-191), has been selected by The Philosopher’s Annual for inclusion as one of the ten best philosophy articles published in 2019.
The notion of potential infinity dominated in mathematical thinking about infinity from Aristotle until Cantor. The coherence and philosophical importance of the notion are defended. Particular attention is paid to the question of whether potential infinity is compatible with classical logic or requires a weaker logic, perhaps intuitionistic.