This work investigates the philosophical justification for the fundamental assumptions of mathematics by evaluating the merits of realism against the framework of naturalism. Penelope Maddy, a prominent philosopher of mathematics, utilizes her expertise to critique traditional realist perspectives. She proposes a naturalistic approach that aligns mathematical practice with empirical and scientific inquiry, specifically demonstrating its utility within the context of set theory.

Experts and scholars frequently cite this text as a foundational contribution to the philosophy of mathematics. Readers often note the clarity of the prose, which successfully bridges the gap between abstract philosophical inquiry and technical mathematical application.