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FORE:This, again, reaches the proposition that power is heat, and heat is power, the two being convertible, and, according to modern science, indestructible; so that power, when used, must give off its mechanical equivalent of heat, or heat, when utilised, develop its equivalent in power. If the whole amount of heat represented in the fuel used by a steam-engine could be applied, the effect would be, as before stated, from ten to fifteen times as great as it is in actual practice, from which it must be inferred that a steam-engine is a very imperfect machine for utilising heat. This great loss arises from various causes, among which is that the heat cannot be directly nor fully communicated to the water. To store up and retain the water after it is expanded into steam, a strong vessel, called a boiler, is required, and all the heat that is imparted to the water has to pass through the plates of this boiler, which stand as a wall between the heat and its work.

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FORE:Among the systems of ancient philosophy, Epicureanism is remarkable for the completeness with which its doctrines were worked out by their first author, and for the fidelity with which they were handed down to the latest generation of his disciples. For a period of more than five hundred years, nothing was added to, and nothing was taken away from, the original teaching of Epicurus. In this, as in other respects, it offers a striking contrast to the system which we last reviewed. In our sketch of the Stoic philosophy, we had to notice the continual process of development through which it passed, from its commencement to its close. There is a marked difference between the earlier and the later heads of the school at Athens��between these, as a class, and the Stoics of the Roman empire��and, finally, even between two Stoics who stood so near to one another as Epict��tus and Marcus Aurelius. This contrast cannot be due to external circumstances, for the two systems were exactly coeval, and were exposed, during their whole lifetime, to the action of precisely the same environment. The cause must be sought for in the character of the philosophies themselves, and of the minds which were naturally most amenable to their respective influence. Stoicism retained enough of the Socratic spirit to foster a love of enquiry for its own sake, and an indisposition to accept any authority without a searching examination of its claims to obedience or respect. The learner was submitted54 to a thorough training in dialectics; while the ideal of life set before him was not a state of rest, but of intense and unremitting toil. Whatever particular conclusions he might carry away with him from the class-room were insignificant in comparison with the principle that he must be prepared to demonstrate them for himself with that self-assurance happily likened by Zeno to the feeling experienced when the clenched fist is held within the grasp of the other hand. Epicurus, on the contrary, did not encourage independent thought among his disciples; nor, with one exception hereafter to be noticed, did his teaching ever attract any very original or powerful intellect. From the first a standard of orthodoxy was erected; and, to facilitate their retention, the leading tenets of the school were drawn up in a series of articles which its adherents were advised to learn by heart. Hence, as Mr. Wallace observes,108 while the other chief sects among which philosophy was divided��the Academicians, the Peripatetics, and the Stoics��drew their appellation, not from their first founder, but from the locality where his lectures had been delivered, the Epicureans alone continued to bear the name of a master whom they regarded with religious veneration. Hence, also, we must add with Zeller,109 and notwithstanding the doubt expressed by Mr. Wallace,110 on the subject, that our acquaintance with the system so faithfully adhered to may be regarded as exceptionally full and accurate. The excerpts from Epicurus himself, preserved by Diogenes Laertius, the poem of Lucretius, the criticisms of Cicero, Plutarch, and others, and the fragments of Epicurean literature recovered from the Herculanean papyri, agree so well where they cover the same ground, that they may be fairly trusted to supplement each other��s deficiencies; and a further confirmation, if any was needed, is obtained by consulting the older sources, whence Epicurus borrowed most of his philosophy.

FORE:"Hullo!" I said, "but in those days I was in and about Maastricht, but I never noticed anything of it."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 Euclid��s 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 synthetic��that 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.278

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