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This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, José Ferreirós uses the crucial idea of a continuum to provide an account of the development of mathematical knowledge that reflects the actual experience of doing math and makes sense of the perceived objectivity of mathematical results. Offering a wealth of philosophical and historical insights, Mathematical Knowledge and the Interplay of Practices challenges us to rethink some of our most basic assumptions about mathematics, its objectivity, and its relationship to culture and science.
About the author
José Ferreirós is professor of logic and philosophy of science at the University of Seville in Spain. He is the author of
Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics and the coeditor of
The Architecture of Modern Mathematics: Essays in History and Philosophy.
Summary
This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, Jose Ferreiros uses the crucial idea of a continuum to provide an account of the development of mathematical knowledg
Additional text
"A valuable contribution to the literature on the epistemology and practice of mathematics, in which [Ferreirós] argues that mathematical knowledge is inseparable from the actual practices in which mathematicians engage."---Audrey Yap, Metascience