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The axioms, as well those which are indemonstrable as those which admit of being demonstrated, differ from that other class of fundamental principles which are involved in the definitions, in this, that they are true without any mixture of hypothesis.
The axioms, as well those which are indemonstrable as those which admit of being demonstrated, differ from that other class of fundamental principles which are involved in the definitions, in this, that they are true without any mixture of hypothesis.
But that all dreams are to be interpreted bisexually, seems to me to be a generalization as indemonstrable as it is improbable, which I should not like to support. Above all I should not know how to dispose of the apparent fact that there are many dreams satisfying other than in the widest sense erotic needs, as dreams of hunger, thirst, convenience, &c.
Virtue is finding one's greatest happiness in God or in the eternal good. As morality is a matter of feeling, not of thought, so God, so even the first principles on which the certitude of demonstration depends, are the object, not of reason, but of the heart. That which certifies to the highest indemonstrable principles is a feeling, a belief, an instinct of nature: les principes se sentent.
If we leave this ground of experience, they become mere fictions of thought, the possibility of which is quite indemonstrable; and they cannot, consequently, be employed as hypotheses in the explanation of real phenomena.
A similar remark might be extended to every other class of phenomena really peculiar; and, had it been attended to, would have prevented many chimerical attempts at demonstrations of the indemonstrable, and explanations which do not explain.
A similar remark might be extended to every other class of phenomena really peculiar; and, had it been attended to, would have prevented many chimerical attempts at demonstrations of the indemonstrable, and explanations which do not explain.
M. Renan combats it at considerable length. The logical consequence of admitting either theory would be that the problem was simply indemonstrable.
But this degree of reality can become less and less through an infinite series of smaller degrees. For consciousness itself has always a degree, which may be lessened.* Consequently the faculty of being conscious may be diminished; and so with all other faculties. The permanence of the soul, therefore, as an object of the internal sense, remains undemonstrated, nay, even indemonstrable.
First, that is indemonstrable, because, if demonstrable, he cannot be said to know them who has no demonstration of them for knowing such things as are demonstrable is the same as having demonstration of them. That which is necessary in order to learn something else is an Axiom.
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