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David Berlinski Quotes - Page 2

All Quotes Logic Mathematics
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

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?

David Berlinski
Mistake, Mean, Men
David Berlinski (2000). “The Advent of the Algorithm: The Idea that Rules the World”, Houghton Mifflin

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.

David Berlinski
Eye, Hands, Intuition
David Berlinski (2000). “The Advent of the Algorithm: The Idea that Rules the World”, Houghton Mifflin

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.

David Berlinski
Science, Achievement, Way
David Berlinski (2000). “The Advent of the Algorithm: The Idea that Rules the World”, Houghton Mifflin

Aristotelian logic is massive and marmoreal, but every monument accumulates graffiti.

David Berlinski
Graffiti, Legacy, Logic
David Berlinski (2000). “The Advent of the Algorithm: The Idea that Rules the World”, Houghton Mifflin

The definition of a limit is essentially his [Cauchy's] creation and is as much of a miracle as those fantastic Swiss clocks of the period in which hundreds of gleaming cogs are made to celebrate not only the time and date but the phases of the moon.

David Berlinski
Education, Moon, Miracle
David Berlinski (2011). “A Tour of the Calculus”, p.119, Vintage

Validity is the touchstone of inference, and truth of judgment: the fact that vichyssoise is cold ratifies the judgment that vichyssoise is, indeed, cold, and the judgment that vichyssoise is cold expresses the fact that vichyssoise is cold.

David Berlinski
Judgement, Facts, Cold
David Berlinski (2000). “The Advent of the Algorithm: The Idea that Rules the World”, Houghton Mifflin

Leibniz endeavored to provide an account of inference and judgment involving the mechanical play of symbols and very little else. The checklists that result are the first of humanity's intellectual artifacts. They express, they explain, and so they ratify a power of the mind. And, of course, they are artifacts in the process of becoming algorithms.

David Berlinski
Play, Humanity, Intellectual
David Berlinski (2000). “The Advent of the Algorithm: The Idea that Rules the World”, Houghton Mifflin

However good an argument in philosophy may happen to be, it is generally not good enough.

David Berlinski
Philosophy, Not Good Enough, May

The motion of the mind is conveyed along a cloud of meaning.~ There is this paradox that we get to meaning only when we strip the meaning from symbols.

David Berlinski
Clouds, Mind, Paradox
David Berlinski (2000). “The Advent of the Algorithm: The Idea that Rules the World”, Houghton Mifflin

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