Axioms Quotes

Freedom can be manifested only in the void of beliefs, in the absence of axioms, and only where the laws have no more authority than a hypothesis.

Emil Cioran

The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest number of hypotheses or axioms.

Albert Einstein

Nothing ... nothing in the universe, is of any importance, or is authentic to any serious sense, except the illusions of romance. For man alone of animals plays the ape to his dreams. These axioms poor, deaf and blinded spendthrift! are none the less valuable for being quoted.

James Branch Cabell

A ragged urchin, aimless and alone, Loitered about that vacancy: a bird Flew up to safety from his well-aimed stone: That girls are raped, that two boys knife a third, Were axioms to him, who'd never heard Of any world where promises were kept Or one could weep because another wept.

Wystan Hugh Auden

It cannot be that axioms established by argumentation should avail for the discovery of new works, since the subtlety of nature is greater many times over than the subtlety of argument. But axioms duly and orderly formed from particulars easily discover the way to new particulars, and thus render sciences active.

Francis Bacon

There are and can be only two ways of searching into and discovering truth. The one flies from the senses and particulars to the most general axioms, and from these principles, the truth of which it takes for settled and immovable, proceeds to judgment and to the discovery of middle axioms. And this way is now in fashion. The other derives axioms from the senses and particulars, rising by a gradual and unbroken ascent, so that it arrives at the most general axioms last of all. This is the true way, but as yet untried.

Francis Bacon

A final moral concerns terminology. Why did such serious people take so seriously axioms which now seem so arbitrary? I suspect that they were misled by the pernicious misuse of the word measurement in contemporary theory. This word very strongly suggests the ascertaining of some preexisting property of some thing, any instrument involved playing a purely passive role. Quantum experiments are just not like that, as we learned especially from Bohr. The results have to be regarded as the joint product of system and apparatus, the complete experimental set-up.

John Stewart Bell
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