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Quote by David Berlinski

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The Advent of the Algorithm: The Idea that Rules the World

This book delves into the history and significance of algorithms, examining their role in shaping modern life and the profound influence they have on various aspects of society. more

Author

David Berlinski
David Berlinski

David Berlinski is an American educator renowned for his contributions to mathematics and philosophy. Born in 1942, he graduated from Columbia University with a Ph.D. in mathematics. Berlinski is praised for his clear and insightful writing style, with his works spanning a wide range of topics from scientific philosophy to cultural commentary. more

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“An axiomatic system establishes a reverberating relationship between what a mathematician assumes (the axioms) and what he or she can derive (the theorems). In the best of circumstances, the relationship is clear enough so that the mathematician can submit his or her reasoning to an informal checklist, passing from step to step with the easy confidence the steps are small enough so that he cannot be embarrassed nor she tripped up.”

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Author:David Berlinski
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“An axiomatic system comprises axioms and theorems and requires a certain amount of hand-eye coordination before it works. A formal system comprises an explicit list of symbols, an explicit set of rules governing their cohabitation, an explicit list of axioms, and, above all, an explicit list of rules explicitly governing the steps that the mathematician may take in going from assumptions to conclusions. No appeal to meaning nor to intuition. Symbols lose their referential powers; inferences become mechanical.”

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Book:The Advent of the Algorithm: The Idea that Rules the World
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“For the most part, it is true, ordinary men and women regard mathematics with energetic distaste, counting its concepts as rhapsodic as cauliflower. This is a mistake-there is no other word. Where else can the restless human mind find means to tie the infinite in a finite bow?”

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Book:The Advent of the Algorithm: The Idea that Rules the World
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“No one really understood music unless he was a scientist, her father had declared, and not just a scientist, either, oh, no, only the real ones, the theoreticians, whose language was mathematics. She had not understood mathematics until he had explained to her that it was the symbolic language of relationships. "And relationships," he had told her, "contained the essential meaning of life."”

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