
What is a Mathematical Concept?
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'How splendid it is that this volume is devoted to so fundamental, and so grand, a question: What is a mathematical concept? And how wide a range of concepts are featured: from 'function machines' and 'the act of doubling' in their role in early education, to 'the act of halving' as it might reveal aspects of the currently developing foundations offered by homotopy type theory; from the jewels of geometry such as the stellated octahedron, to the extraordinary role that the newly fashioned concept of perfectoid spaces plays in resolving conjectures in arithmetic algebraic geometry and representation theory.' Barry Mazur, Gerhard Gade University Professor, Harvard University 'Mathematics has far too often been a discipline reserved for specialists. Even philosophers have tended to limit their focus to the foundations of mathematics, rather than the productions of contemporary mathematics. This is a wonderful book that reverses this trend. It approaches mathematical concepts from a perspective that is broadly humanistic and interdisciplinary, drawing on disciplines as diverse as history, philosophy, sociology and psychology. Each of the essays is written in a non-technical yet rigorous manner that should be accessible even to the 'mathematically challenged', and taken together they present a richly innovative approach to the ontology of mathematics. This is a timely and user-friendly collection that should help restore mathematics to its rightful place as a central discipline in the humanities.' Daniel Smith, Purdue University, IndianaMore details
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