Books by Stewart (Professor of Philosophy Shapiro

Stewart Shapiro presents a distinctive original view of the foundations of mathematics, arguing that second-order logic has a central role to play in laying these foundations. He gives an accessible account of second-order and higher-order logic, paying special attention to philosophical and historical issues.

A structuralist approach to mathematical theory in which Shapiro argues that both realist and anti-realist accounts of mathematics are problematic . He claims that mathematical theory is not a fixed domain of numbers that exist independent of one another, but a natural structure with an initial object and successor relation.