Axiom Quotes
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 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
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
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