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THREE:That Aenesid��mus held this view is stated as a fact by Sextus, whose testimony is here corroborated by Tertullian, or rather by Tertullian��s informant, Soranus. We find, however, that Zeller, who formerly accepted the statement in question as true, has latterly seen reason to reject it.188 Aenesid��mus cannot, he thinks, have been guilty of so great an inconsistency as to base his Scepticism on the dogmatic physics of Heracleitus. And he explains the agreement of the ancient authorities by supposing that the original work of Aenesid��mus contained a critical account of the Heracleitean theory, that this was misinterpreted into an expression of his adhesion to it by Soranus, and that the blunder was adopted at second-hand by both Sextus and Tertullian.299It may also be remarked that the special knowledge involved in applied mechanics is mainly to be gathered and retained by personal observation and memory, and that this part is the greater one; all the formul? relating to machine construction may be learned in a shorter time than is required to master and understand the operations which may be performed on an engine [8] lathe. Hence first lessons, learned when the mind is interested and active, should as far as possible include whatever is special; in short, no opportunity of learning special manipulation should be lost. If a wheel pattern come under notice, examine the manure in which it is framed together, the amount of draught, and how it is moulded, as well as to determine whether the teeth have true cycloidal curves.

FORE:To explain how the Nous could be identical with a number of distinct ideas was a difficult problem. We shall have to show at a more advanced stage of our exposition how Plotinus endeavoured to solve it with the help of Plato��s Sophist. In the essay where his theory is first put forward, he cuts the knot by asserting that each idea virtually contains every other, while each in its actual and separate existence is, so to speak, an independent Nous. But correlation is not identity; and to say that each idea thinks itself is not to explain how the same subject can think, and in thinking be identical with all. The personal identity of the thinking subject still stands in unreconciled opposition to the multitude of thoughts which it entertains, whether successively or in a single intuition. Of two things one: either the unity of the Nous or the diversity of its ideas must be sacrificed. Plotinus evades the alternative by a kind of three-card trick. Sometimes his ideal unity is to be found under the notion of convergence to a common centre, sometimes under the notion of participation in a common property, sometimes under the notion of mutual equivalence. 1 offer applied

FORE: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. 1 offer applied

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