"An axiomatic system establishes a reverberating relationship between……" — David Berlinski
"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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David Berlinski
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29 Quotes by David Berlinski
David Berlinski has 29 quotes on this site.
A few more worth reading:
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Darwin's theory of evolution is the last of the great nineteenth-century mystery religions. And as we speak it is now…
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There are gaps in the fossil graveyard, places where there should be intermediate forms, but where there is nothing whatsoever…
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Ultimately, Leibniz argued, there are only two absolutely simple concepts, God and Nothingness. From these, all other concepts may be…
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If moral statements are about something, then the universe is not quite as science suggests it is, since physical theories,…
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Commentators who today talk of 'The Dark Ages' when faith instead of reason was said to ruthlessly rule, have for…
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Just who has imposed on the suffering human race poison gas, barbed wire, high explosives, experiments in eugenics, the formula…
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Darwinism is not a sufficient condition for a phenomenon like Nazism but I think it's certainly a necessary one,
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I do not know whether any of this is true. I am certain that the scientific community does not know…
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Although every novel is derived directly from another novel, there is really only one novel, the Quixote.
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While science has nothing of value to say on the great and aching questions of life, death, love and meaning,…
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Validity is the touchstone of inference, and truth of judgment: the fact that vichyssoise is cold ratifies the judgment that…
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The definition of a limit is essentially his [Cauchy's] creation and is as much of a miracle as those fantastic…
See all 29 quotes by David Berlinski »
More Assumes Quotes
This quote is filed under Assumes Quotes,
one of 223 quotes in that category. Here are a few more:
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Negotiation in the classic diplomatic sense assumes parties more anxious to agree than to disagree.
— Dean Acheson
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Traditional science assumes, for the most part, that an objective observer independent reality exists; the universe, stars, galaxies, sun, moon…
— Deepak Chopra
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It is the best of all games for me. It frequently escapes from the pattern of sport and assumes the…
— Jimmy Cannon
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Prayer assumes the sovereignty of God. If God is not sovereign, we have no assurance that He is able to…
— Jerry Bridges
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The Society is based on that great bottom law of human right, that nothing but crime can forfeit liberty. That…
— Theodore Dwight Weld
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The Pacific no longer represents menacing avenues of approach for a prospective invader. It assumes, instead, the friendly aspect of…
— Douglas MacArthur
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There is no vice so simple but assumes some mark of virtue on his outward parts.
— William Shakespeare
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English character and English freedom depend comparatively little on the form which the Constitution assumes at Westminster. A centralised democracy…
— James Anthony Froude
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Whensoever the General Government assumes undelegated powers, its acts are unauthoritative, void, and of no force.
— Thomas Jefferson
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Some theists, observing that all 'effects' need a cause, assert that God is a cause but not an effect. But…
— Dan Barker
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Food, one assumes, provides nourishment; but Americans eat it fully aware that small amounts of poison have been added to…
— John Cage
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If Islam despises Christianity, it has a thousandfold right to do so: Islam at least assumes that it is dealing…
— Friedrich Nietzsche
See all 223 Assumes Quotes »