Why Is There Something Rather Than Nothing?
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I disagree that the universe would remain an object if we remove all objects, because an object must have properties. If we define “the universe” as the totality of all objects, then removing them leaves only a word with no metaphysical referent, and therefore can’t be thought of as “existing”. So I agree that it doesn’t work when applied to “all of existence”. This is why I think your point about the excluded middle makes nothingness impossible. But generally speaking, “nothingness” as a quantifier typically involves no logical contradictions.