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Updated: May 26, 2025
Since, then, the axioms and the misnamed definitions are but inductions from experience, and since the definitions are only hypothetically true, the deductive or demonstrative sciences of which these axioms and definitions form together the first principles must really be themselves inductive and hypothetical.
Had he ever yet grasped the meaning of religion to the religious man? God and faith what have these venerable ideas ever mattered to him personally, except as the subjects of the most ingenious analysis, the most delicate historical inductions?
If we were to say, All the planets shine by the sun’s light, from observation of each separate planet, or All the Apostles were Jews, because this is true of Peter, Paul, John, and every other apostle—these, and such as these, would, in the phraseology in question, be called perfect, and the only perfect, Inductions.
The demonstrations of the enemy agreed with these inductions of his experience, no precautions, no resistance in front of their right and their centre; but before their left a great number of troops, a marked solicitude to profit by the slightest accidents of the ground, in order to dispute it, and finally, a formidable redoubt; this was, of course, their weak side, since they covered it with such care.
To this conclusion we are led by the clearest inductions of moral science; but, at this momentous point, philosophy fails us. No human power can find a refuge, to which the mind can betake itself under a sense of guilt; no human wisdom can answer the inquiry of mighty import, can God be just and yet justify the ungodly.
There is no need for me to point out once more how this method of combating socialism, on the part of M. Garofalo, resemble that which the classical criminologists employed against the positivist school, when, after so many sweeping denials of our teachings, they came to admit that, nevertheless, some of our inductions, for example, the anthropological classification of criminals, might well be applied ... on a reduced scale, in the administration of jails and penitentiaries, but never in the provisions of the criminal law!
Afterwards these generalizations will be modified in accordance with certain broad differences of race, custom, and religion. Of quite serious forecasts and inductions of things to come, the number is very small indeed; a suggestion or so of Mr. Herbert Spencer's, Mr. Kidd's Social Evolution, some hints from Mr.
Hence chemistry, though similar extensions and simplifications of its generalizations are continually taking place, is still in the main an experimental science; and is likely so to continue, unless some comprehensive induction should be hereafter arrived at, which, like Newton’s, shall connect a vast number of the smaller known inductions together, and change the whole method of the science at once.
The walls were plastered with bills: JUST OUT. LE SOLITAIRE, by M. le Vicomte d'Arlincourt. Third edition. LEONIDE, by Victor Ducange; five volumes 12mo, printed on fine paper. 12 francs. INDUCTIONS MORALES, by Keratry. "They are lucky, that they are!" exclaimed Lucien. The placard, a new and original idea of the celebrated Ladvocat, was just beginning to blossom out upon the walls.
Spencer agrees with me in considering axioms to be “simply our earliest inductions from experience.” But he differs from me “widely as to the worth of the test of inconceivableness.” He thinks that it is the ultimate test of all beliefs. He arrives at this conclusion by two steps.
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