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I have never been one of those who dwell upon distinctions of rank, and birth, and such like; as if they were in the heart of nature, and must be eternal. In early youth, I may have thought so, and been full of that little pride. But now I have long accounted it one of the first axioms of political economy you are following me, Mistress Ridd?"
She has two trunks full of property, and keeps an account at the savings bank. Upon this Caroline complains of the bad morals of the lower classes: she complains of the education and the knowledge of figures which distinguish domestics. From time to time she utters little axioms like the following: There are some mistakes you must make! It's only those who do nothing who do everything well.
Always handle any positively electrical body, whether it is charged with passion or power, with some non-conductor between you and it, not with your naked hands. The above were some of the young gentleman's working axioms; and he proceeded to act in accordance with them. He began by paying his court more assiduously to his uncle.
It was not to be expected that in the case of this axiom, any more than of other axioms, there should be unanimity among thinkers with respect to the grounds on which it is to be received as true. I have already stated that I regard it as itself a generalization from experience.
The believer in God knows that the truth which he holds is as certain as the axioms of mathematics; but he cannot make others know this whose spiritual faculty is not awake; and he is liable to be asked for proof not of the spiritual but of the physical kind.
By banishing the figure, it becomes possible to discover all the axioms that are needed; and in this way all sorts of possibilities, which would have otherwise remained undetected, are brought to light. One great advance, from the point of view of correctness, has been made by introducing points as they are required, and not starting, as was formerly done, by assuming the whole of space.
His friends knew that up to the present time woman had been to him no more than an always dreaded circumstance; he had observed her too much not to fear her; but by dint of studying her he had ceased to understand her, like, in this, to those deep strategists who are always beaten on unexpected ground, where their scientific axioms are either modified or contradicted.
Proverbial axioms flourish copiously in the idiomatic ground and vernacular climate of unlearned, undisciplined, unreflective minds, as thistles on the highway where every ass may gather them.
In this respect, however, these axioms of logic are on a level with those of mathematics.
The English school of philosophy have already attacked this problem in connection with the origin of axioms. The principle of their explanation lies in the virtue of what they have termed "inseparable association." They have supposed that when an association is often repeated it creates a habit of thought against which no further strife is possible.
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