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199 ONE:According to Aristotle, the Heracleitean flux was inconsistent with the highest law of thought, and made all predication impossible. It has been shown that the master himself recognised a fixed recurring order of change which could be affirmed if nothing else could. But the principle of change, once admitted, seemed to act like a corrosive solvent, too powerful for any vessel to contain. Disciples were soon found who pushed it to extreme consequences with the effect of abolishing all certainty whatever. In Plato��s time it was impossible to argue with a Heracleitean; he could never be tied down to a definite statement. Every proposition became false as soon as it was uttered, or rather before it was out of the speaker��s mouth. At last, a distinguished teacher of the school declined to commit himself by using words, and disputed exclusively in dumb show. A dangerous speculative crisis had set in. At either extremity of the Hellenic world the path of scientific inquiry was barred; on the one hand by a theory eliminating non-existence from thought, and on the other hand by a theory identifying it with existence. The26 luminous beam of reflection had been polarised into two divergent rays, each light where the other was dark and dark where the other was light, each denying what the other asserted and asserting what the other denied. For a century physical speculation had taught that the universe was formed by the modification of a single eternal substance, whatever that substance might be. By the end of that period, all becoming was absorbed into being at Elea, and all being into becoming at Ephesus. Each view contained a portion of the truth, and one which perhaps would never have been clearly perceived if it had not been brought into exclusive prominence. But further progress was impossible until the two half-truths had been recombined. We may compare Parmenides and Heracleitus to two lofty and precipitous peaks on either side of an Alpine pass. Each commands a wide prospect, interrupted only on the side of its opposite neighbour. And the fertilising stream of European thought originates with neither of them singly, but has its source midway between.My obligations to other writers have been acknowledged throughout this work, so far as I was conscious of them, and so far as they could be defined by reference to specific points. I take the present opportunity for mentioning in a more general way the valuable assistance which I have derived from Schwegler��s Geschichte der Griechischen Philosophie, Lange��s Geschichte des Materialismus, and Dühring��s Geschichte der Philosophie. The parallel between Socrates, Giordano Bruno, and Spinoza was probably suggested to mexxiv by Dühring, as also were some points in my characterisation of Aristotle. As my view of the position occupied by Lucretius with respect to religion and philosophy differs in many important points from that of Prof. Sellar, it is the more incumbent on me to state that, but for a perusal of Prof. Sellar��s eloquent and sympathetic chapters on the great Epicurean poet, my own estimate of his genius would certainly not have been written in its present form and would probably not have been written at all.