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Brandenburger and Keisler formalize the above argument in order to prove a very strong impossibility result about the existence of so-called assumption-complete structures.
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Markers proposing the most impossibilities (refuting genes), and strongest impossibilities (refuted groups) receive the highest overall score, and are easily identified.
However, we should recognize a distinction between those whose envisioned naturalistic explanation would require underlying forms of necessity and impossibility stronger that that pertaining to laws of nature generally — such as either conceptual or 'metaphysical' necessity — and those who see the link between explanans and explanandum as simply one of natural scientific law.
Extended modal realism is quite a strong position: concrete impossible worlds represent absolute and logical impossibilities directly, by instantiating them.
There are stronger versions of the impossibility result that use weaker assumptions (see Cross and Nute 2001 for an excellent presentation of the proofs of alternative forms of the impossibility theorem).
However, a stronger argument against the impossibility hybrids is provided by James Mattingly, who points out that since there are satisfiable axioms for semiclassical theories, inconsistency cannot be established in general (2009, p. 381).
The White House has said Obama will veto Corker's bill if it passes – a veto could be overridden with a two-thirds majority vote, not an impossibility given the strong sentiments in Congress.
The cost of housing in London, already astronomical, went up by 19% in the past year, reflecting not just the city's strong economy but also the impossibility of building on its edges.
We first establish that a differentially private consensus algorithm cannot guarantee convergence of the agents' states to the exact average in distribution, which in turn implies the same impossibility for other stronger notions of convergence.
The notion of "negation as impossibility" is known as "strong negation".
Morgan talks about the impossibility of singing karaoke without strong drink, and warms to the sound of a shop in Portland, Oregon, that sells "voodoo doughnuts".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com