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Descartes' Dream The World According to Mathematics

ISBN-10: 0486442527

ISBN-13: 9780486442525

Edition: 2005

Authors: Philip J. Davis, Reuben Hersh

List price: $17.95
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Description:

Philosopher Ren Descartes visualized a world unified by mathematics, in which all intellectual issues could be resolved rationally by local computation. This series of provocative essays takes a modern look at the seventeenth-century thinker's dream, examining the physical and intellectual influences of mathematics on society, particularly in light of technological advances. They survey the conditions that elicit the application of mathematic principles; the effectiveness of these applications; and how applied mathematics constrain lives and transform perceptions of reality. Highly suitable for browsing, the essays require different levels of mathematical knowledge that range from popular to professional. 1987 ed.
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Book details

List price: $17.95
Copyright year: 2005
Publisher: Dover Publications, Incorporated
Publication date: 3/24/2005
Binding: Paperback
Pages: 352
Size: 6.25" wide x 9.25" long x 0.75" tall
Weight: 0.946
Language: English

Preface
Acknowledgements
This Mathematized World
Descartes' Dream
Where the Dream Stands Today
The Limits of Mathematics
Are We Drowning in Digits?
The Stochastized World: A Matter of Style?
Feedback and Control: The Equilibrium Machine
Computer Graphics and the Possibility of High Art
The Social Tyranny of Numbers
Mathematics and Rhetoric
The Criterion Makers: Mathematics and Social Policy
The Computerization of Love
Testing
Mathematics as a Social Filter
A "Marxian" Analysis of the Role of Computing in Organizations
Cognition and Computation
The Descriptive, Predictive, and Prescriptive Functions of Applied Mathematics
The Intellectual Components of Technology, Mathematics and Computation: Four Lists
Metathinking as a Way of Life
Three Meanings of Computation
What Scientific Computation is for
Why Should I Believe a Computer: Computation as Process and Product
The Whorfian Hypothesis: Ends and Means in Computer Languages
The Programming Milieu
Perspectives Through Time
Of Time and Mathematics
Non-Euclidean Geometry and Ethical Relativism
The Unreasonable Effectiveness of Computers. Are We Hooked?
Mathematics and Ethics
Platonic Mathematics Meets Platonic Philosophy of Religion: An Ethical Metaphor
The Computer Thinks: An Interpretation in the Medieval Mode
Mathematics and the End of the World
Personal Meanings
Mathematics and Imposed Reality
Loss of Meaning through Intellectual Processes: Mathematical Abstraction
Envoi
Bibliography
Index