ONE:ALONG THE MEUSE TO HUY, ANDENNE, AND NAMUR
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ONE:We have now to study an analogous, though far less complicated, antagonism in ancient Greece, and to show how her most brilliant period of physical philosophy arose from the combination of two seemingly irreconcilable systems. Parmenides, in an address supposed to be delivered by Wisdom to her disciple, warns us against the method pursued by ignorant mortals, the blind, deaf, stupid, confused tribes, who hold that to be and not to be are the same, and that all things move round by an inverted path.19 What Parmenides denounced as arrant nonsense was deliberately proclaimed to be the highest truth by his illustrious contemporary, Heracleitus, of Ephesus. This wonderful thinker is popularly known as the weeping philosopher, because, according to a very silly tradition, he never went abroad without shedding tears over the follies of mankind. No such mawkish sentimentality, but bitter scorn and indignation, marked the attitude of23 Heracleitus towards his fellows. A self-taught sage, he had no respect for the accredited instructors of Hellas. Much learning, he says, does not teach reason, else it would have taught Hesiod and Pythagoras, Xenophanes and Hecataeus.20 Homer, he declares, ought to be flogged out of the public assemblages, and Archilochus likewise. When the highest reputations met with so little mercy, it will readily be imagined what contempt he poured on the vulgar herd. The feelings of a high-born aristocrat combine with those of a lofty genius to point and wing his words. The many are bad and few are the good. The best choose one thing instead of all, a perpetual well-spring of fame, while the many glut their appetites like beasts. One man is equal to ten thousand if he is the best. This contempt was still further intensified by the very excusable incapacity of the public to understand profound thought conveyed in a style proverbial for its obscurity. Men cannot comprehend the eternal law; when I have explained the order of Nature they are no wiser than before. What, then, was this eternal law, a knowledge of which Heracleitus found so difficult to popularise? Let us look back for a moment at the earlier Ionian systems. They had taught that the universe arose either by differentiation or by condensation and expansion from a single primordial substance, into which, as Anaximander, at least, held, everything, at last returned. Now, Heracleitus taught that this transformation is a universal, never-ending, never-resting process; that all things are moving; that Nature is like a stream in which no man can bathe twice; that rest and stability are the law, not of life, but of death. Again, the Pythagorean school, as we have seen, divided all things into a series of sharply distinguished antithetical pairs. Heracleitus either directly identified the terms of every opposition, or regarded them as necessarily combined, or as continually24 passing into one another. Perhaps we shall express his meaning most thoroughly by saying that he would have looked on all three propositions as equivalent statements of a single fact. In accordance with this principle he calls war the father and king and lord of all, and denounces Homers prayer for the abolition of strife as an unconscious blasphemy against the universe itself. Yet, even his powerful intellect could not grasp the conception of a shifting relativity as the law and life of things without embodying it in a particular material substratum. Following the Ionian tradition, he sought for a world-element, and found it in that cosmic fire which enveloped the terrestrial atmosphere, and of which the heavenly luminaries were supposed to be formed. Fire, says the Ephesian philosopher, no doubt adapting his language to the comprehension of a great commercial community, is the general medium of exchange, as gold is given for everything, and everything for gold. The world was not created by any god or any man, but always was, and is, and shall be, an ever-living fire, periodically kindled and quenched25. By cooling and condensation, water is formed from fire, and earth from water; then, by a converse process called the way up as the other was the way down, earth again passes into water and water into fire. At the end of certain stated periods the whole world is to be reconverted into fire, but only to enter on a new cycle in the series of its endless revolutionsa conception, so far, remarkably confirmed by modern science. The whole theory, including a future world conflagration, was afterwards adopted by the Stoics, and probably exercised a considerable influence on the eschatology of the early Christian Church. Imagination is obliged to work under forms which thought has already superseded; and Heracleitus as a philosopher had forestalled the dazzling consummation to which as a prophet he might look forward in wonder and hope. For, his elemental fire was only a picturesque presentation indispensable to him, but not to us, of the sovereign law wherein all things live and move and have their being. To have introduced such an idea into speculation was his distinctive and inestimable achievement, although it may have been suggested by the ε?μαρμ?νη or destiny of the theological poets, a term occasionally employed in his writings. It had a moral as well as a physical meaning, or rather it hovers ambiguously between the two. The sun shall not transgress his bounds, or the Erinyes who help justice will find him out. It is the source of human laws, the common reason which binds men together, therefore they should hold by it even more firmly than by the laws of the State. It is not only all-wise but all-good, even where it seems to be the reverse; for our distinctions between good and evil, just and unjust, vanish in the divine harmony of Nature, the concurrent energies and identifying transformations of her universal life.The reformed system of education was to be not only moral and religious but also severely scientific. The place given to mathematics as the foundation of a right intellectual training is most remarkable, and shows how truly Plato apprehended the conditions under which knowledge is acquired and enlarged. Here, as in other respects, he is, more even than Aristotle, the precursor of Auguste Comte. He arranges the mathematical sciences, so far as they then existed, in their logical order; and his remarks on the most general ideas suggested by astronomy read like a divination of rational mechanics. That a recommendation of such studies should be put into the mouth of Socrates is a striking incongruity. The older Plato grew the farther he seems to have advanced from the humanist to the naturalistic point of view; and, had he been willing to confess it, Hippias and Prodicus were the teachers with whom he finally found himself most in sympathy.
ONE:We have now to study an analogous, though far less complicated, antagonism in ancient Greece, and to show how her most brilliant period of physical philosophy arose from the combination of two seemingly irreconcilable systems. Parmenides, in an address supposed to be delivered by Wisdom to her disciple, warns us against the method pursued by ignorant mortals, the blind, deaf, stupid, confused tribes, who hold that to be and not to be are the same, and that all things move round by an inverted path.19 What Parmenides denounced as arrant nonsense was deliberately proclaimed to be the highest truth by his illustrious contemporary, Heracleitus, of Ephesus. This wonderful thinker is popularly known as the weeping philosopher, because, according to a very silly tradition, he never went abroad without shedding tears over the follies of mankind. No such mawkish sentimentality, but bitter scorn and indignation, marked the attitude of23 Heracleitus towards his fellows. A self-taught sage, he had no respect for the accredited instructors of Hellas. Much learning, he says, does not teach reason, else it would have taught Hesiod and Pythagoras, Xenophanes and Hecataeus.20 Homer, he declares, ought to be flogged out of the public assemblages, and Archilochus likewise. When the highest reputations met with so little mercy, it will readily be imagined what contempt he poured on the vulgar herd. The feelings of a high-born aristocrat combine with those of a lofty genius to point and wing his words. The many are bad and few are the good. The best choose one thing instead of all, a perpetual well-spring of fame, while the many glut their appetites like beasts. One man is equal to ten thousand if he is the best. This contempt was still further intensified by the very excusable incapacity of the public to understand profound thought conveyed in a style proverbial for its obscurity. Men cannot comprehend the eternal law; when I have explained the order of Nature they are no wiser than before. What, then, was this eternal law, a knowledge of which Heracleitus found so difficult to popularise? Let us look back for a moment at the earlier Ionian systems. They had taught that the universe arose either by differentiation or by condensation and expansion from a single primordial substance, into which, as Anaximander, at least, held, everything, at last returned. Now, Heracleitus taught that this transformation is a universal, never-ending, never-resting process; that all things are moving; that Nature is like a stream in which no man can bathe twice; that rest and stability are the law, not of life, but of death. Again, the Pythagorean school, as we have seen, divided all things into a series of sharply distinguished antithetical pairs. Heracleitus either directly identified the terms of every opposition, or regarded them as necessarily combined, or as continually24 passing into one another. Perhaps we shall express his meaning most thoroughly by saying that he would have looked on all three propositions as equivalent statements of a single fact. In accordance with this principle he calls war the father and king and lord of all, and denounces Homers prayer for the abolition of strife as an unconscious blasphemy against the universe itself. Yet, even his powerful intellect could not grasp the conception of a shifting relativity as the law and life of things without embodying it in a particular material substratum. Following the Ionian tradition, he sought for a world-element, and found it in that cosmic fire which enveloped the terrestrial atmosphere, and of which the heavenly luminaries were supposed to be formed. Fire, says the Ephesian philosopher, no doubt adapting his language to the comprehension of a great commercial community, is the general medium of exchange, as gold is given for everything, and everything for gold. The world was not created by any god or any man, but always was, and is, and shall be, an ever-living fire, periodically kindled and quenched25. By cooling and condensation, water is formed from fire, and earth from water; then, by a converse process called the way up as the other was the way down, earth again passes into water and water into fire. At the end of certain stated periods the whole world is to be reconverted into fire, but only to enter on a new cycle in the series of its endless revolutionsa conception, so far, remarkably confirmed by modern science. The whole theory, including a future world conflagration, was afterwards adopted by the Stoics, and probably exercised a considerable influence on the eschatology of the early Christian Church. Imagination is obliged to work under forms which thought has already superseded; and Heracleitus as a philosopher had forestalled the dazzling consummation to which as a prophet he might look forward in wonder and hope. For, his elemental fire was only a picturesque presentation indispensable to him, but not to us, of the sovereign law wherein all things live and move and have their being. To have introduced such an idea into speculation was his distinctive and inestimable achievement, although it may have been suggested by the ε?μαρμ?νη or destiny of the theological poets, a term occasionally employed in his writings. It had a moral as well as a physical meaning, or rather it hovers ambiguously between the two. The sun shall not transgress his bounds, or the Erinyes who help justice will find him out. It is the source of human laws, the common reason which binds men together, therefore they should hold by it even more firmly than by the laws of the State. It is not only all-wise but all-good, even where it seems to be the reverse; for our distinctions between good and evil, just and unjust, vanish in the divine harmony of Nature, the concurrent energies and identifying transformations of her universal life.The reformed system of education was to be not only moral and religious but also severely scientific. The place given to mathematics as the foundation of a right intellectual training is most remarkable, and shows how truly Plato apprehended the conditions under which knowledge is acquired and enlarged. Here, as in other respects, he is, more even than Aristotle, the precursor of Auguste Comte. He arranges the mathematical sciences, so far as they then existed, in their logical order; and his remarks on the most general ideas suggested by astronomy read like a divination of rational mechanics. That a recommendation of such studies should be put into the mouth of Socrates is a striking incongruity. The older Plato grew the farther he seems to have advanced from the humanist to the naturalistic point of view; and, had he been willing to confess it, Hippias and Prodicus were the teachers with whom he finally found himself most in sympathy.
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ONE:It has, until lately, been customary to speak as if all that Aristotle knew about induction was contained in a few scattered passages where it is mentioned under that name in the Analytics. This, no doubt, is true, if by induction we mean simple generalisation. But if we understand by it the philosophy of experimental evidencethe analysis of those means by which, in the absence of direct observation, we decide between two conflicting hypothesesthen the Topics must be pronounced as good a discussion on the subject as was compatible with his general theory of knowledge. For he supposes that there are large classes of phenomena, including, among other things, the whole range of human life, which, not being bound by any fixed order, lie outside the scope of scientific demonstration, although capable of being determined with various degrees of probability; and here also what he has in view is not the discovery of laws, but the construction of definitions. These being a matter of opinion, could always be attacked as well as maintained. Thus the constant conflict and balancing of opposite forces, which we have learned to associate with the sublunary sphere, has its logical representative no less than the kindred ideas of uncertainty and vicissitude. And, in connexion with this side of applied logic, Aristotle has also to consider the requirements of those who took part in the public debates on disputed questions, then very common among educated Athenians, and frequently turning on verbal definitions. Hence, while we find many varieties of reasoning suggested, such as Reasoning by Analogy, Disjunctive Reasoning, Hypothetical Reasoning (though without a generalised expression for all its varieties), and, what is most remarkable, three out of Mills four Experimental Methods,288 we do not find that any interesting or395 useful application is made of them. Even considered as a handbook for debaters, the Topics is not successful. With the practical incompetence of a mere naturalist, Aristotle has supplied heads for arguments in such profusion and such utter carelessness of their relative importance that no memory could sustain the burden, except in the probably rare instances when a lifetime was devoted to their study.
ONE:It has, until lately, been customary to speak as if all that Aristotle knew about induction was contained in a few scattered passages where it is mentioned under that name in the Analytics. This, no doubt, is true, if by induction we mean simple generalisation. But if we understand by it the philosophy of experimental evidencethe analysis of those means by which, in the absence of direct observation, we decide between two conflicting hypothesesthen the Topics must be pronounced as good a discussion on the subject as was compatible with his general theory of knowledge. For he supposes that there are large classes of phenomena, including, among other things, the whole range of human life, which, not being bound by any fixed order, lie outside the scope of scientific demonstration, although capable of being determined with various degrees of probability; and here also what he has in view is not the discovery of laws, but the construction of definitions. These being a matter of opinion, could always be attacked as well as maintained. Thus the constant conflict and balancing of opposite forces, which we have learned to associate with the sublunary sphere, has its logical representative no less than the kindred ideas of uncertainty and vicissitude. And, in connexion with this side of applied logic, Aristotle has also to consider the requirements of those who took part in the public debates on disputed questions, then very common among educated Athenians, and frequently turning on verbal definitions. Hence, while we find many varieties of reasoning suggested, such as Reasoning by Analogy, Disjunctive Reasoning, Hypothetical Reasoning (though without a generalised expression for all its varieties), and, what is most remarkable, three out of Mills four Experimental Methods,288 we do not find that any interesting or395 useful application is made of them. Even considered as a handbook for debaters, the Topics is not successful. With the practical incompetence of a mere naturalist, Aristotle has supplied heads for arguments in such profusion and such utter carelessness of their relative importance that no memory could sustain the burden, except in the probably rare instances when a lifetime was devoted to their study.
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ONE:In casting and forging operations the material is treated while in a heated and expanded condition; the nature of these operations is such that accurate dimensions cannot be attained, so that both forgings and castings require to be made enough larger than their finished dimensions to allow for shrinkage and irregularities. Finishing as a process consists in cutting away this surplus material, and giving accurate dimensions to the parts of machinery when the material is at its natural temperature. Finishing operations being performed as said upon material at its normal temperature permits handling, gauging and fitting together of the parts of machinery, and as nearly all other processes involve heating, finishing may be called the cold processes of metal work. The operations of a fitting shop consist almost entirely of cutting, and grinding or abrading; a proposition that may seem novel, yet these operations comprehend nearly all that is performed in what is called fitting.
ONE:In casting and forging operations the material is treated while in a heated and expanded condition; the nature of these operations is such that accurate dimensions cannot be attained, so that both forgings and castings require to be made enough larger than their finished dimensions to allow for shrinkage and irregularities. Finishing as a process consists in cutting away this surplus material, and giving accurate dimensions to the parts of machinery when the material is at its natural temperature. Finishing operations being performed as said upon material at its normal temperature permits handling, gauging and fitting together of the parts of machinery, and as nearly all other processes involve heating, finishing may be called the cold processes of metal work. The operations of a fitting shop consist almost entirely of cutting, and grinding or abrading; a proposition that may seem novel, yet these operations comprehend nearly all that is performed in what is called fitting.
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