ONE:Designing machines must have reference to adaptation, endurance, and the expense of construction. Adaptation includes the performance of machinery, its commercial value, or what the machinery may earn in operating; endurance, the time that machines may operate without being repaired, and the constancy of their performance; expense, the investment represented in machinery.From utter confusion to extreme nihilism there was but a single step. This step was taken by Gorgias, the Sicilian rhetorician, who held the same relation towards western Hellas and the Eleatic school as that which Protagoras held towards eastern Hellas and the philosophy of Heracleitus. He, like his eminent contemporary, was opposed to the thinkers whom, borrowing a useful term from the nomenclature of the last century, we may call the Greek physiocrats. To confute them, he wrote a book with the significant title, On Nature or Nothing: maintaining, first, that nothing exists; secondly, that if anything exists, we cannot know it; thirdly, that if we know it, there is no possibility of communicating our knowledge to others. The first thesis was established by pushing the Eleatic arguments against movement and change a little further; the second by showing that thought and existence are different, or else everything that is thought of would exist; the third by establishing a similar incommensurability between words and sensations. Grote96 has attempted to show that Gorgias was only arguing against the existence of a noumenon underlying phenomena, such as all idealists deny. Zeller has, however, convincingly proved that Gorgias, in common with every other thinker before Plato, was ignorant of this distinction;72 and we may add that it would leave the second and third theses absolutely unimpaired. We must take the whole together as constituting a declaration of war against science, an assertion, in still stronger language, of the agnosticism taught by Protagoras. The truth is, that a Greek controversialist generally overproved his case, and in order to overwhelm an adversary pulled down the whole house, even at the risk of being buried among the ruins himself. A modern reasoner, taking his cue from Gorgias, without pushing the matter to such an extreme, might carry on his attack on lines running parallel with those laid down by the Sicilian Sophist. He would begin by denying the existence of a state of Nature; for such a state must be either variable or constant. If it is constant, how could civilisation ever have arisen? If it is variable, what becomes of the fixed standard appealed to? Then, again, supposing such a state ever to have existed, how could authentic information about it have come down to us through the ages of corruption which are supposed to have intervened? And, lastly, granting that a state of Nature accessible to enquiry has ever existed, how can we reorganise society on the basis of such discordant data as are presented to us by the physiocrats, no two of whom agree with regard to the first principles of natural order; one saying that it is equality, another aristocracy, and a third despotism? We do not say that these arguments are conclusive, we only mean that in relation to modern thought they very fairly represent the dialectic artillery brought to bear by Greek humanism against its naturalistic opponents.
TWO:Plato seems to have felt very strongly that all virtuous action tends towards a good exceeding in value any temporary sacrifice which it may involve; and the accepted connotation of ethical terms went entirely along with this belief. But he could not see that a particular action might be good for the community at large and bad for the individual who performed it, not in a different sense but in the very same sense, as involving a diminution of his happiness. For from Platos abstract and generalising point of view all good was homogeneous, and the welfare of the individual was absolutely identified with the welfare of the whole to which he belonged. As against those who made right dependent on might and erected self-indulgence into the law of life Plato occupied an impregnable position. He showed that such principles made society impossible, and that without honour even a gang of thieves cannot hold together.140 He also saw that it is reason which brings each individual into relation with the whole and enables him to understand his obligations towards it; but at the same time he gave this232 reason a personal character which does not properly belong to it; or, what comes to the same thing, he treated human beings as pure entia rationis, thus unwittingly removing the necessity for having any morality at all. On his assumption it would be absurd to break the law; but neither would there be any temptation to break it, nor would any unpleasant consequences follow on its violation. Plato speaks of injustice as an injury to the souls health, and therefore as the greatest evil that can befall a human being, without observing that the inference involves a confusion of terms. For his argument requires that soul should mean both the whole of conscious life and the system of abstract notions through which we communicate and co-operate with our fellow-creatures. All crime is a serious disturbance to the latter, for it cannot without absurdity be made the foundation of a general rule; but, apart from penal consequences, it does not impair, and may benefit the former.
THREE:We have seen how Greek thought had arrived at a perfectly just conception of the process by which all physical transformations are effected. The whole extended universe is an aggregate of bodies, while each single body is formed by a combination of everlasting elements, and is destroyed by their separation. But if Empedocles was right, if these primary substances were no other than the fire, air, water, and earth of everyday experience, what became of the Heracleitean law, confirmed by common observation, that, so far from remaining unaltered, they were continually passing into one another? To this question the atomic theory gave an answer so conclusive, that, although ignored or contemned by later schools, it was revived with the great revival of science in the sixteenth century, was successfully employed in the explanation of every order of phenomena, and still remains the basis of all physical enquiry. The undulatory theory of light, the law of universal gravitation, and the laws of chemical combination can only be expressed in terms implying the existence of atoms; the laws of gaseous diffusion, and of thermodynamics generally, can only be understood with their help; and the latest develop34ments of chemistry have tended still further to establish their reality, as well as to elucidate their remarkable properties. In the absence of sufficient information, it is difficult to determine by what steps this admirable hypothesis was evolved. Yet, even without external evidence, we may fairly conjecture that, sooner or later, some philosopher, possessed of a high generalising faculty, would infer that if bodies are continually throwing off a flux of infinitesimal particles from their surfaces, they must be similarly subdivided all through; and that if the organs of sense are honeycombed with imperceptible pores, such may also be the universal constitution of matter.26 Now, according to Aristotle, Leucippus, the founder of atomism, did actually use the second of these arguments, and employed it in particular to prove the existence of indivisible solids.27 Other considerations equally obvious suggested themselves from another quarter. If all change was expressible in terms of matter and motion, then gradual change implied interstitial motion, which again involved the necessity of fine pores to serve as channels for the incoming and outgoing molecular streams. Nor, as was supposed, could motion of any kind be conceived without a vacuum, the second great postulate of the atomic theory. Here its advocates directly joined issue with Parmenides. The chief of the Eleatic school had, as we have seen, presented being under the form of a homogeneous sphere, absolutely continuous but limited in extent. Space dissociated from matter was to him, as afterwards to Aristotle, non-existent and impossible. It was, he exclaimed, inconceivable, nonsensical. Unhappily inconceivability is about the worst negative criterion of truth ever yet invented. His challenge was now35 taken up by the Atomists, who boldly affirmed that if non-being meant empty space, it was just as conceivable and just as necessary as being. A further stimulus may have been received from the Pythagorean school, whose doctrines had, just at this time, been systematised and committed to writing by Philolaus, its most eminent disciple. The hard saying that all things were made out of number might be explained and confirmed if the integers were interpreted as material atoms.Balmayne picked up the coat and laid it on the table. There was just a dexterous motion and a flash of his white hands, then he smiled with the air of one who is perfectly and wholly satisfied with something.
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