The price of universality

Philosophical Studies 129 (1):137 - 169 (2006)
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.
Keywords Philosophy   Philosophy   Epistemology   Logic   Philosophy of Mind   Philosophy of Religion
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DOI 10.2307/4321752
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References found in this work BETA
Timothy Williamson (2003). Everything. Philosophical Perspectives 17 (1):415–465.

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Paul Hovda (2009). What Is Classical Mereology? Journal of Philosophical Logic 38 (1):55 - 82.
David Nicolas (2008). Mass Nouns and Plural Logic. Linguistics and Philosophy 31 (2):211-244.
Kris McDaniel (2010). Parts and Wholes. Philosophy Compass 5 (5):412-425.
Sam Cowling (2014). No Simples, No Gunk, No Nothing. Pacific Philosophical Quarterly 95 (1):246-260.

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