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.

We read fine things but never feel them to the full until we have gone the same steps as the author.

Ethical axioms are found and tested not very differently from the axioms of science. Truth is what stands the test of experience.

For axioms in philosophy are not axioms until they are proved upon our pulses.

You can "prove" anything on the verbal level, just be accepting the necessary axioms at the beginning.

To choose one sock from each of infinitely many pairs of socks requires the Axiom of Choice, but for shoes the Axiom is not needed.

A science is something which is constructed from truth on workable axioms. There are 55 axioms in scientology which are very demonstrably true, and on these can be constructed a great deal.

Axioms are delightful in theory, but impossible in practice.

Many successful people are no more talented than unsuccessful people. The difference between them lies in the old axiom that successful people do those things that unsuccessful people don't like to do.

The eye of understanding is like the eye of the sense; for as you may see great objects through small crannies or levels, so you may see great axioms of nature through small and contemptible instances.

The fundamental axiom, then, for the study of man is the existence of individual consciousness

Be willing to dream, and imagine yourself becoming all that you wish to be. Keep in mind the basic axiom -- all that now exists was once imagined. It follows then that what you want to exist for you in the future must now be imagined.

Natura nihil agit frustra [Nature does nothing in vain] is the only indisputible axiom in philosophy. There are no grotesques in nature; not any thing framed to fill up empty cantons, and unncecessary spaces.

What are your Axioms, and Categories, and Systems, and Aphorisms? Words, words.... Be not the slave of Words.

Summation of Leviathan: "The axiom, fear; the method, logic; the conclusion, despotism."

This truth must be recognized as a dogma and assume the validity of an axiom in the general understanding of painting

In a conquered country benevolence is not humanitarianism. It is a general political axiom that a conqueror must not inspire a good opinion of his benevolence until he has demonstrated that he can be severe with malefactors.

It should be remembered, as an axiom of eternal truth in politics, that whatever power in any government is independent, is absolute also.

My morality, the morality of reason, is contained in a single axiom: existence exists - and in a single choice: to live.

Fanon calls his ideology a new humanism, not only in contrast to the elite humanism of the West, but also on the axiom that the wretched of the earth, understood socially, think and thus must be a basis of a new politics. This, of course, is not achieved immediately, but it must become an explicit element of the struggle for liberation.

The axioms of physics translate the laws of ethics. Thus, "the whole is greater than its part;" "reaction is equal to action;" "the smallest weight may be made to lift the greatest, the difference of weight being compensated by time;" and many the like propositions, which have an ethical as well as physical sense. These propositions have a much more extensive and universal sense when applied to human life, than when confined to technical use.

You want at least 5% of the population being serious. That five, 6% of the population carries the rest of the people. You've heard that old axiom: 5% of the people pull the wagon; 95% are in it.

An Italian proverb says, In men every mortal sin is venial; in woman every venial sin is mortal. And a German axiom, that There are only two good women in the world: one of them is dead, and the other is not to be found.

Philosophy begins when one learns to doubt -- particularly to doubt one's cherished beliefs, one's dogmas and one's axioms.

If nature leads us to mathematical forms of great simplicity and beauty - by forms I am referring to coherent systems of hypothesis, axioms, etc. - to forms that no one has previously encountered, we cannot help thinking that they are "true," that they reveal a genuine feature of nature... You must have felt this too: The almost frightening simplicity and wholeness of relationships which nature suddenly spreads out before us and for which none of us was in the least prepared.

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