THREE:Such a view was essentially unfavourable to the progress of science, assigning, as it did, a higher dignity to meagre and very questionable abstractions than to the far-reaching combinations by which alone we are enabled to unravel the inmost texture of visible phenomena. Instead of using reason to supplement sense, Aristotle turned it into a more subtle and universal kind of sense; and if this disastrous assimilation was to a certain extent imposed upon him by the traditions of Athenian thought, it harmonised admirably with the descriptive and superficial character of his own intelligence. Much was also due to the method of geometry, which in his time had already assumed the form made familiar to us by Euclids Elements. The employment of axioms side by side with definitions, might, indeed, have drawn his attention to the existence and importance of judgments which, in Kantian terminology, are not analytic but syntheticthat is, which add to the content of a notion instead of simply analysing it. But although he mentions axioms, and states that mathematical theorems are deduced from them, no suspicion of their essential difference from definitions, or of the typical significance which they were destined to assume in the theory of reasoning, seems ever to have crossed his mind; otherwise he could hardly have failed to ask how we come by our knowledge of them, and to what they correspond in Nature. On the whole,385 it seems likely that he looked on them as an analysis of our ideas, differing only from definition proper by the generality of its application; for he names the law of contradiction as the most important of all axioms, and that from which the others proceed;277 next to it he places the law of excluded middle, which is also analytical; and his only other example is, that if equals be taken from equals the remainders are equal, a judgment the synthetic character of which is by no means clear, and has occasionally been disputed.278Fourth. Machinery of transportation.
FORE:Gast he murmured. GastStill more important was the antithesis between Nature and convention, which, so far as we know, originated exclusively with Hippias. We have already observed that universality and necessity were, with the Greeks, standing marks of naturalness. The customs of different countries were, on the other hand, distinguished by extreme variety, amounting sometimes to diametrical opposition. Herodotus was fond of calling attention to such contrasts; only, he drew from them the conclusion that law, to be so arbitrary, must needs possess supreme and sacred authority. According to the more plausible interpretation of Hippias, the variety, and at least in Greek democracies, the changeability of law proved that it was neither sacred nor binding. He also looked on artificial social institutions as the sole cause of division and discord among mankind. Here we already see the dawn of a cosmopolitanism afterwards preached by Cynic and82 Stoic philosophers. Furthermore, to discover the natural rule of right, he compared the laws of different nations, and selected those which were held by all in common as the basis of an ethical system.63 Now, this is precisely what was done by the Roman jurists long afterwards under the inspiration of Stoical teaching. We have it on the high authority of Sir Henry Maine that they identified the Jus Gentium, that is, the laws supposed to be observed by all nations alike, with the Jus Naturale, that is, the code by which men were governed in their primitive condition of innocence. It was by a gradual application of this ideal standard that the numerous inequalities between different classes of persons, enforced by ancient Roman law, were removed, and that contract was substituted for status. Above all, the abolition of slavery was, if not directly caused, at any rate powerfully aided, by the belief that it was against Nature. At the beginning of the fourteenth century we find Louis Hutin, King of France, assigning as a reason for the enfranchisement of his serfs, that, according to natural law, everybody ought to be born free, and although Sir H. Maine holds this to have been a mistaken interpretation of the juridical axiom omnes homines natura aequales sunt, which means not an ideal to be attained, but a primitive condition from which we have departed: nevertheless it very faithfully reproduces the theory of those Greek philosophers from whom the idea of a natural law was derived. That, in Aristotles time at least, a party existed who were opposed to slavery on theoretical grounds of right is perfectly evident from the language of the Politics. Some persons, says Aristotle, think that slave-holding is against nature, for that one man is a slave and another free by law, while by nature there is no difference between them, for which reason it is unjust as being the result of force.64 And he proceeds to prove the contrary at length. The same doctrine of natural equality led to important political consequences, having, again according to Sir83 H. Maine, contributed both to the American Declaration of Independence and to the French Revolution.
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