Making and Breaking Mathematical Sense: Histories and Philosophies of Mathematical Practice
Making and Breaking Mathematical Sense: Histories and Philosophies of Mathematical Practice4 1 5 Scritto da: Roi Wagner
Roi Wagner uniquely combines philosophical, historical, and cognitive studies to paint a fully rounded image of mathematics not as an absolute ideal but as a human endeavor that takes shape in specific social and institutional contexts. The book builds on ancient, medieval, and modern case studies to confront philosophical reconstructions and cutting-edge cognitive theories. It focuses on the contingent semiotic and interpretive dimensions of mathematical practice, rather than on mathematics' claim to universal or fundamental truths, in order to explore not only what mathematics is, but also what it could be. Along the way, Wagner challenges conventional views that mathematical signs represent fixed, ideal entities; that mathematical cognition is a rigid transfer of inferences between formal domains; and that mathematics’ exceptional consensus is due to the subject’s underlying reality.
The result is a revisionist account of mathematical philosophy that will interest mathematicians, philosophers, and historians of science alike.
Più informazioniEditore: Princeton University Press