The price of universality

Philosophical Studies 129 (1):137 - 169 (2006)
Abstract
I present a puzzle for absolutely unrestricted quantification. One important advantage of absolutely unrestricted quantification is that it allows us to entertain perfectly general theories. Whereas most of our theories restrict attention to one or another parcel of reality, other theories are genuinely comprehensive taking absolutely all objects into their domain. The puzzle arises when we notice that absolutely unrestricted theories sometimes impose incompatible constraints on the size of the universe.
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References found in this work BETA
George Boolos (1989). Iteration Again. Philosophical Topics 17 (2):5-21.

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Citations of this work BETA
Kris McDaniel (2010). Parts and Wholes. Philosophy Compass 5 (5):412-425.
Paul Hovda (2009). What Is Classical Mereology? Journal of Philosophical Logic 38 (1):55 - 82.
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