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Whatever is referred to must exist. Let us call this the axiom of existence.
John Searle
The idea that to make a man work you've got to hold gold in front of his eyes is a growth, not an axiom. We've done that for so long that we've forgotten there's any other way.
F. Scott Fitzgerald
It is an axiom in my mind, that our liberty can never be safe but in the hands of the people themselves, and that too of the people with a certain degree of instruction. This it is the business of the State to effect, and on a general plan.
Thomas Jefferson
The opinions that the price of commodities depends solely on the proportion of supply and demand, or demand to supply, has become almost an axiom in political economy, and has been the source of much error in that science.
David Ricardo
...the mathematician uses an indirect definition of congruence, making use of the fact that the axiom of parallels together with an additional condition can replace the definition of congruence.
Hans Reichenbach
Axiom: Novel must have either one living character or a perfect pattern: fails otherwise.
E. M. Forster
...the old axiom that 'all power corrupts' has doubtful validity, because it derives from our neglect of Plato's advice to find men carefully and train them by methods which make them fit for heroes.
Oswald Mosley
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.
Bertrand Russell
We may lay it down as an incontestible axiom, that, in all the operations of art and nature, nothing is created; an equal quantity of matter exists both before and after the experiment; the quality and quantity of the elements remain precisely the same; and nothing takes place beyond changes and modifications in the combination of these elements. Upon this principle the whole art of performing chemical experiments depends: We must always suppose an exact equality between the elements of the body examined and those of the products of its analysis.
Antoine Lavoisier
What I affirm is the intuition that where God's presence is no longer a tenable supposition and where His absence is no longer a felt, indeed overwhelming weight, certain dimensions of thought and creativity are no longer attainable. And I would vary Yeats's axiom so as to say: no man can read fully, can answer answeringly to the aesthetic, whose "nerve and blood" are at peace in sceptical rationality, are now at home in immanence and verification. We must read as if.
George Steiner
It was an axiom of "containment" that no part of the known world could be considered neutral. "Neutralism" was among the Cold Warriors' gravest curse words, applied with caustic hostility to India and even France. Those who were not with were against, subjected to intense economic and ideological and sometimes military pressure to fall into line.
Christopher Hitchens
The controversy as to whether socialism is possible has been settled by the fact that it exists, and it is a fundamental axiom of my philosophy, at any rate, that anything that exists, is possible.
Kenneth Boulding
A revolution is an axiom backed by bayonets.
Napoleon Bonaparte
AXIOM. - Property is the Right of Increase claimed by the Proprietor over any thing which he has stamped as his own.
Pierre-Joseph Proudhon
The old and oft-repeated proposition "Totum est majus sua parte" [the whole is larger than the part] may be applied without proof only in the case of entities that are based upon whole and part; then and only then is it an undeniable consequence of the concepts "totum" and "pars". Unfortunately, however, this "axiom" is used innumerably often without any basis and in neglect of the necessary distinction between "reality" and "quantity", on the one hand, and "number" and "set", on the other, precisely in the sense in which it is generally false.
Georg Cantor
We no longer even understand the question whether change is by itself good or bad, ...We start out with the axiom that it is the norm. We do not see change as altering the order... We see change as being order itself--indeed the only order we can comprehend today is a dynamic, a moving, a changing one.
Peter Drucker
The only thing that might have annoyed some mathematicians was the presumption of assuming that maybe the axiom of choice could fail, and that we should look into contrary assumptions.
Alonzo Church
It may be assumed as an axiom that Providence has never gifted any political party with all of political wisdom or blinded it with all of political folly.
John George Nicolay
Perhaps the truest axiom in baseball is that the toughest thing to do is repeat.
Walt Alston
It is impossible by means of inanimate material agency, to derive mechanical effect from any portion of matter by cooling it below the temperature of the coldest of the surrounding objects. [Footnote: ] If this axiom be denied for all temperatures, it would have to be admitted that a self-acting machine might be set to work and produce mechanical effect by cooling the sea or earth, with no limit but the total loss of heat from the earth and sea, or in reality, from the whole material world.
William Thomson
That axiom of Metaphysicians which is termed the principle of contradiction and which affirms that it is impossible for anything to possess a quality, and in the same time not to possess it, is a consequence of the fundamental law of thought, whose expression is x²=x.
George Boole
The above interpretation has been introduced, not on account of its immediate value in the present system, but as an illustration of a significant fact in the philosophy of the intellectual powers, viz., that what has commonly been regarded as the fundamental axiom of metaphysics is but the consequence of a law of thought, mathematical in its form.
George Boole
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