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Self-locating beliefs have important epistemological consequences (Elga 2000, Lewis 2001, Bostrom 2007, Meacham 2008, Bradley 2012, Titelbaum 2013, Halpern ms, Other Internet Resources), and centered propositions are ably argued by Egan (2006) to correspond to what philosophers have traditionally called secondary qualities (Locke 1690/1975).
Centered propositions are needed to adequately represent self-locating beliefs such as Sophia's belief that she lives in Vienna, which may well be different from her belief that Sophia lives in Vienna (these two beliefs differ if Sophia does not believe that she is Sophia).
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Lewis' (1979, 133ff) claim that the difference between centered and uncentered propositions plays little role in how belief and other attitudes are formally represented, and postulated to behave in a rational way, can only be upheld for synchronic constraints on the statics of belief.
My propositions centered on privatizing everything university related -- including outsourcing student writing -- and I held up PhD-Dissertations.com as a shining example of how to do this.
Virtualization made its way into the mainstream data center with a strong cost-reduction value proposition centered around a straightforward tactic: server consolidation.
A more refined view is that the possible worlds comprised by those propositions are centered at an (ideal doxastic) agent at a given time (Lewis 1979).
A centered world represents the proposition.
And a recently burgeoning area of research has concerned the contents of subjective probability assignments, the objects to which such assignments attach— whether they should be to propositions (sets of possible worlds), or to more fine-grained self-locating propositions (sets of centered worlds — see Lewis 1979), or to something else.
An immediate formal difference is that narrow contents on Chalmers' approach are defined over a larger class of centered worlds than are diagonal propositions.
We will bracket these complications, though, and assume that, unless noted otherwise, the difference between centered and uncentered possibilities and propositions has no effect on the topic at issue.
Much of the ground game for Proposition 19 is centered in Oakland, where the measure's co-sponsor, Richard Lee, has built his marijuana trade school — Oaksterdam — into a small empire, with a three-story headquarters in the downtown core.
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