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Because he says somewhere:“Never shall this thought prevail, that not-being is;
Nay, keep your mind from this path of investigation,
Parmenides Fr. 7.1

Yes, that is what he says.

But we have not only pointed out that things which are not exist, but we have even shown what the form or class of not-being is; for we have pointed out that the nature of the other exists and is distributed in small bits

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