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His chief argument to prove the first position laid down by him depended on a double and ambiguous use of the word is; “That which is not, is the non-existent: the word is must, therefore, be applicable to it as truly as when we say That which is, is; therefore, being is predicable of that which is not.” So conversely he proved not-being to be predicable of that which is. And in like manner he made away with any possible assertions as to the finite or infinite, the eternal or created, nature of that which is. Logic could supply him with alternative arguments from whatever point he started, such as would seem to land the question in absurdity. Hence his first position was (he claimed) established, that ‘Nothing is.’

To prove the second, that even if anything is, it cannot be known to man, he argued thus: “If what a man thinks is not identical with what is, plainly what is cannot be thought. And that what a man thinks is not identical with what is can be shown from the fact that thinking does not affect the facts. You may imagine a man flying, or a chariot coursing over the deep, but you do not find these things to occur because you imagine them. Again, if we assume that what we think is identical with what is, then it must be impossible to think of what is not. But this is absurd; for we can think of such admittedly imaginary beings as Scylla and Chimaera, and multitudes of others. There is therefore no necessary relation between our thoughts and any realities; we may believe, but we cannot prove, which (if any) of our conceptions have relation to an external fact and which have not.”


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