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ONE: ONE:The other great ethical method of the eighteenth century, its hedonism, was closely connected with the sceptical movement in speculative philosophy, and, like that, received an entirely new significance by becoming associated with the idea of law. Those who isolate man from the universe are necessarily led to seek in his interests as such the sole regulator of his actions, and their sole sanction in the opinion of his fellows. Protagoras went already so far, notwithstanding his unwillingness to recognise pleasure as the supreme end; and in the system of his true successor, Aristippus, the most extreme hedonism goes hand in hand with the most extreme idealism; while with Epicurus, again, both are tempered by the influence of naturalism, imposing on him its conceptions of objective law alike in science and in practice. Still his system leaned heavily to the side of self-gratification pure and simple; and it was reserved for modern thought to establish a complete equilibrium between the two competing tendencies of Greek ethics. This has been effected in Utilitarianism; and those critics are entirely mistaken who, like M. Guyau, regard that system as a mere reproduction of Epicureanism. It might with full as much reason be called a modern version of Stoicism. The idea of humanity is essentially Stoic; to work for the good of humanity was a424 Stoic precept; and to sacrifice one��s own pleasure for that higher good is a virtue which would have satisfied the most rigorous demands of a Cleanthes, an Epict��tus, or an Aurelius.We have endeavoured to show that Aristotle��s account of the syllogism is redundant on the one side and defective on the other, both errors being due to a false analysis of the reasoning process itself, combined with a false metaphysical philosophy. The same evil influences tell with much greater effect on his theory of applied reasoning. Here the fundamental division, corresponding to that between heaven and earth in the cosmos, is between demonstration and dialectic or experimental reasoning. The one starts with first principles of unquestionable validity, the other with principles the validity of which is to be tested by their consequences. Stated in its most abstract form, the distinction is sound, and very nearly prefigures the modern division between deduction and induction, the process by which general laws are applied, and the process by which they are established. Aristotle, however, committed two great mistakes; he thought that each method corresponded to an entirely different order of phenomena: and he thought that both were concerned for the most part with definitions. The Posterior Analytics, which contains his theory of demonstration, answers to the astronomical portion of his physics; it is the doctrine of eternal and necessary truth. And just as his ontology distinguishes between the Prime Mover himself unmoved and the eternal movement produced by his influence, so also his logic distinguishes between infallible first principles and the truths derived from them, the latter being, in his opinion, of inferior384 value. Now, according to Aristotle, these first principles are definitions, and it is to this fact that their self-evident certainty is due. At the same time they are not verbal but real definitions��that is to say, the universal forms of things in themselves as made manifest to the eye of reason, or rather, stamped upon it like the impression of a signet-ring on wax. And, by a further refinement, he seems to distinguish between the concept as a whole and the separate marks which make it up, these last being the ultimate elements of all existence, and as much beyond its complex forms as Nous is beyond reasoned truth.