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Updated: May 18, 2025
Nevertheless, geometry forms the handiest system for applying to experience and calculating shapes and motions. But, ideally, other systems might be used. The 'metageometries' have constructed other ideal 'spaces' out of postulates differing from Euclid's, though when applied to real space their greater complexity destroys their value.
He postulates as if it were a mere gift of inevitable instinct, what too certainly is the gift, and the tardy gift, of training; which training, again, is not to be won from efforts of study, but is in the nature of a slow deposition or sediment, as it were from a constant, perhaps at the moment, an unconscious, experience.
Now, it is perfectly clear that if our palaeontological collections are to be taken, even approximately, as an adequate representation of all the forms of animals and plants that have ever lived; and if the record furnished by the known series of beds of stratified rock covers the whole series of events which constitute the history of life on the globe, such a fact as this directly contravenes the hypothesis of evolution; because this hypothesis postulates that the existence of every form must have been preceded by that of some form little different from it.
Bachofen postulates a revolt of women to establish marriage. We have seen that such a supposition, in the form in which he puts it, is without any credible foundation. Yet, it is part of my theory that there was a revolt of women, or rather a combination of the mothers of the group, which led to a change in the direction of sexual regulation and order.
Was this the way to keep him standing strong to his resolutions? And shall we blame her? Does the beautiful thing we call life spring from postulates and rules and mathematics; or from the spirit's altar fires? And I confess I never see the thing we call vice but I wonder did it not spring from the burning of the refuse heap, which poor humans have mistaken for altar fires?
I anticipate the answers; but know that they likewise proceed from the want of distinguishing between ideas, such as God, Eternity, the responsible Will, the Good, and the like, the actuality of which is absolutely subjective, and includes both the relatively subjective and the relatively objective as higher or transcendant realities, which alone are the proper objects of faith, the great postulates of reason in order to its own admission of its own being, the not distinguishing, I say, between these, and those positions which must be either matters of fact or fictions.
For this vital question we are not yet prepared, but must first consider the remaining rational postulates it assumes. The second is II. This order is one of intelligence.
It postulates, not that there is an actually existing harmony requiring nothing but prudence and coolness of judgment for its effective operation, but only that there is a possible ethical harmony, to which, partly by discipline, partly by the improvement of the conditions of life, men might attain, and that in such attainment lies the social ideal.
His reverence for reality, as this presents itself to him, and his distrust of far-reaching abstraction, are so strong that it is enough for him to take his bearings from the real, and to give a true reproduction of it, while he willingly renounces the ambition to form it anew in concepts. With this respect for concrete reality he combines a similar reverence for ethical postulates.
He postulates a God, and he postulates a region, and he postulates a communication, and then talks about all these postulates as if they were facts. I protest against this mystical, transcendental rhetoric. It is not argument. Who has seen God? Who has entered that "region"? Who has communicated with God? There is in most men a desire, in some men a passion, for what is good.
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