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Starry Reckoning: Reference and Analysis in Mathematics and Cosmology (Hardcover, 1st ed. 2016)
Loot Price: R2,554
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Starry Reckoning: Reference and Analysis in Mathematics and Cosmology (Hardcover, 1st ed. 2016)
Series: Studies in Applied Philosophy, Epistemology and Rational Ethics, 30
Expected to ship within 10 - 15 working days
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This book deals with a topic that has been largely neglected by
philosophers of science to date: the ability to refer and analyze
in tandem. On the basis of a set of philosophical case studies
involving both problems in number theory and issues concerning time
and cosmology from the era of Galileo, Newton and Leibniz up
through the present day, the author argues that scientific
knowledge is a combination of accurate reference and analytical
interpretation. In order to think well, we must be able to refer
successfully, so that we can show publicly and clearly what we are
talking about. And we must be able to analyze well, that is, to
discover productive and explanatory conditions of intelligibility
for the things we are thinking about. The book's central claim is
that the kinds of representations that make successful reference
possible and those that make successful analysis possible are not
the same, so that significant scientific and mathematical work
typically proceeds by means of a heterogeneous discourse that
juxtaposes and often superimposes a variety of kinds of
representation, including formal and natural languages as well as
more iconic modes. It demonstrates the virtues and necessity of
heterogeneity in historically central reasoning, thus filling an
important gap in the literature and fostering a new, timely
discussion on the epistemology of science and mathematics.
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