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

Book by David Berlinski · 2 quotes · Mathematics, Men, Mind

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

“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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“At the beginning of the new millennium, we still do not know why mathematics is true and whether it is certain. But we know what we do not know in an immeasurably richer way than we did. And learning this has been a remarkable achievement-among the greatest and least-known of the modern era.”

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