Can we make statements of the form "X is Y" without the statement "X exists" being true? Because Eliezer does about reality - therefore I assume there is some sense in which he believes it to "exist." Note that my questions were directed towards his definition, not the claim itself (since I still obviously don't understand the way that Eliezer uses words).

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To answer your questions:

"Where is the universe?"

Right here.

"What color is half-past three?"

For certain definitions of color in certain logical frameworks involving the entities "color" and "half-past three," half-past three is colorless.

"How many zeros does it take to make a baker's dozen?"

Thirteen (duh).