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Margaret Morrison, “Reconstructing Reality: Models, Mathematics, and Simulations” (Oxford UP, 2015)
Almost 400 years ago, Galileo wrote that the book of nature is written in the language of mathematics. Today, mathematics is integral to physics and chemistry, and is becoming so in biology, economics, and other sciences, although amid great controversy. The messy reality of biological creatures and their social relations cannot be captured in mathematical models or computer simulations, it is argued. But what is the relation between mathematics and physical reality? Do highly abstract mathematical formalisms and computer simulations yield empirical knowledge? If so, when, and how? In…
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