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The science of the day was also rooted in materialism, and discarded all its own very excellent axioms when it was faced by an entirely new and unexpected proposition. Faraday declared that in approaching a new subject one should make up one's mind a priori as to what is possible and what is not!

These entities do not take for granted any knowledge or intuition whatever, but they presuppose only the validity of the axioms, such as the one stated above, which are to be taken in a purely formal sense, i.e. as void of all content of intuition or experience. These axioms are free creations of the human mind. The matter of which geometry treats is first defined by the axioms.

He further argued that the one "made up of usages and customs, had always been understood to contain certain fundamental axioms which were held sacred and inviolable, and which were the basis on which rested the rights of the people."

Is it believed that axioms in metaphysics, declarations of right, harangues from the tribune, will put a stop to the disbanding of an army? To reject me when I landed at Cannes I can conceive possible; to abandon me now is what I do not understand. It is not when the enemy is at twenty-five leagues' distance that any Government can be overturned with impunity.

"Liberty is inalienable, and its price is above that of all the goods of this world." Las Casas follows the fashion of his time in resting all his glorious axioms upon the authority of men and councils.

The two kinds of speculation have been pursued, for the most part, by two different classes of persons, the geometers and the metaphysicians; for it has been far more the occupation of metaphysicians than of geometers to discuss such questions as I have stated, the nature of geometrical proofs, geometrical axioms, the geometrical faculty, and the like.

And to have beaten back, or even to have struggled against and stemmed in ever so small a degree those besetting basenesses of human nature, now held so invincible that the influences of them are assumed as the fundamental axioms of economic science; this appears to me a greater victory than Agincourt, a grander triumph of wisdom and faith and courage than even the English constitution or the English liturgy.

It is true that in the Analytic I introduced into the list of principles of the pure understanding, certain axioms of intuition; but the principle there discussed was not itself an axiom, but served merely to present the principle of the possibility of axioms in general, while it was really nothing more than a principle based upon conceptions.

We have seen how ideas of Society, State, Government, Sovereignty, Rights, Liberty, the most important of all ideas, were, at the close of the eighteenth century, curtailed and falsified; how, in most minds, simple verbal reasoning combined them together in dogmas and axioms; what an offspring these metaphysical simulacra gave birth to, how many lifeless and grotesque abortions, how many monstrous and destructive chimeras.

Among the laws, too, the conventional law takes its principles, freedom and purpose, from political philosophy. Whence does divine law take its principles? The existence of God can be demonstrated philosophically from premises going back to axioms and first principles. But this is not true of Prophecy and Providence. The answer Albo gives to this question is that of Judah Halevi and Crescas.