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“ The notions of creation, change and destruction, diversity and multipli- city, time and space, and the various sensations, are all mere false appearances of sense, which thought shows to be contradictory and false. ”

“ The Eleatic philosophy is founded upon the doctrine of a complete severance and opposition of thought and sense. Truth is in no degree attainable by sense; sense gives only false appearances, non-being: it is by thought alone that we arrive at the knowledge of being, at the great truth that “ the All is One,” eternal, unchangeable, or rather, as Hegel rightly interprets the Eleatics, thought is being. ”

“ Against motion Zeno directed several argu- ments, the most celebrated being that of Achilles and the tortoise, which are founded upon the confusion of that which is infinitely divisible with that which is infinite. Against space Zeno argued that any Space, however large, must be in a larger space, this larger space again in a still larger, and so on ad infinitum. Against the manifold he argued (1) that the manifold, being divisible into the infinitely small, i.e., into that which has no magnitude, can itself have none, as divisions that have no magnitude must make up a whole without magnitude ”