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The Philosophy of Mathematical Practice
Thanks for telling us about the problem. Return to Book Page. Contemporary philosophy of mathematics offers us an embarrassment of riches. Among the major areas of work one could list developments of the classical foundational programs, analytic approaches to epistemology and ontology of mathematics, and developments at the intersection of history and philosophy of mathematics. But anyone familiar with contemporary philosophy of math Contemporary philosophy of mathematics offers us an embarrassment of riches.
But anyone familiar with contemporary philosophy of mathematics will be aware of the need for new approaches that pay closer attention to mathematical practice. This book is the first attempt to give a coherent and unified presentation of this new wave of work in philosophy of mathematics. The new approach is innovative at least in two ways. First, it holds that there are important novel characteristics of contemporary mathematics that are just as worthy of philosophical attention as the distinction between constructive and non-constructive mathematics at the time of the foundational debates.
Secondly, it holds that many topics which escape purely formal logical treatment--such as visualization, explanation, and understanding--can nonetheless be subjected to philosophical analysis. The Philosophy of Mathematical Practice comprises an introduction by the editor and eight chapters written by some of the leading scholars in the field.
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Each chapter consists of a short introduction to the general topic of the chapter followed by a longer research article in the area. The eight topics selected represent a broad spectrum of contemporary philosophical reflection on different aspects of mathematical practice: diagrammatic reasoning and representational systems; visualization; mathematical explanation; purity of methods; mathematical concepts; the philosophical relevance of category theory; philosophical aspects of computer science in mathematics; the philosophical impact of recent developments in mathematical physics.
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What is the philosophy of mathematical practice
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To see what your friends thought of this book, please sign up. To ask other readers questions about The Philosophy of Mathematical Practice , please sign up. Be the first to ask a question about The Philosophy of Mathematical Practice. Lists with This Book. This book is not yet featured on Listopia. Community Reviews. Showing Average rating 4. Rating details. More filters. Sort order. Start your review of The Philosophy of Mathematical Practice. This is a well-written, interesting read on the history and development of mathematics during a particularly volatile time in the development of the field.
The book is not particularly accessible, however.
New Perspectives on Mathematical Practices
Not being a mathematician myself, I found the first pages of each chapter particularly difficult to follow, as Mancuso demonstrated technical nuances of various proofs that were at issue. I do not intend this as a criticism, as I'm certain that if I understood what was happening in the p This is a well-written, interesting read on the history and development of mathematics during a particularly volatile time in the development of the field.
I do not intend this as a criticism, as I'm certain that if I understood what was happening in the proofs, then the rest of the chapters would have been more rewarding. However, I found that I could glean what was at issue philosophically from the rest of the chapter, which I found fascinating. Again, not being a mathematician, I am unsure how accessible the second half of each chapter would be to a mathematician, as it is pretty difficult philosophical material.
This makes the text something of an odd piece. Unless one is both a mathematician and a philosopher, this may not be the text for you. Again, that's not to say that it's not worth reading unless you're both, but just prepare yourself for some dense material.
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