Conceptions of Set and the Foundations of Mathematics

Conceptions of Set and the Foundations of Mathematics appeared with Cambridge University Press in 2020. Available at: CUP  | Amazon

Overview

Reviews

'It is the book’s role as a one-stop source for both technical information and philosophical commentary on the various conceptions just listed, never before treated at length and with comparisons all in one place, that makes the book an indispensable reference work for anyone interested in the philosophy of set theory ... one of the book’s virtues is that, for all the information it provides, it shows also how open-ended investigation of the different conceptions remains: almost every paragraph raises further issues for future exploration, and it is bound to generate discussion for years to come.'  

John Burgess, Philosophia Mathematica

 'without doubt the best discussion available of the variety of conceptions of set that have been proposed.'  

Øystein Linnebo, NDPR 

'...explores different approaches to the concept of set, comparing and evaluating these approaches in terms of how they might provide such a foundation. Along the way, it offers an excellent, self-contained introduction to a wide range of important topics in the philosophy of set theory, while at the same time, proposing a novel framework within which one can evaluate different conceptions of set.' 

John Wigglesworth, Analysis