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Representation and Productive Ambiguity in Mathematics and the Sciences by Emily R. Grosholz; Emily Grosholz is a nonfiction available to read on EtoBox.

What is Representation and Productive Ambiguity in Mathematics and the Sciences about?

<p><P>Emily Grosholz offers an original investigation of demonstration in mathematics and science, examining how it works and why it is persuasive. Focusing on geometrical demonstration, she shows the roles that representation and ambiguity play in mathematical discovery. She presents a wide range of case studies in mechanics, topology, algebra, logic, and chemistry, from ancient Greece to the present day, but focusing particularly on the seventeenth and twentieth centuries. She argues that reductive methods are effective not because they diminish but because they multiply and juxtapose modes of representation. Such problem-solving is, she argues, best understood in terms of Leibnizian analysis&#151;the search for conditions of intelligibility. Discovery and justification are then two aspects of one rational way of proceeding, which produces the mathematician's formal experience. <P>Grosholz defends the importance of iconic, as well as symbolic and indexical, signs in mathematical representation, and argues that pragmatic, as well as syntactic and semantic, considerations are indispensable fore mathematical reasoning. By taking a close look at the way results are presented on the p

Who reads Representation and Productive Ambiguity in Mathematics and the Sciences?

Author

Emily R. Grosholz; Emily Grosholz

Publisher

Oxford University Press, USA; Oxford University Press

Published

2007

Language

EN

ISBN

9786611155377

Category

nonfiction

Subjects

Mathematics, History, Philosophy