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There are maximal sets of propositions that are not possible worlds because they are not consistent in the relevant sense.
McGee (1992) showed that there are uncountably many maximal sets of T-sentences that are consistent with PA.
They consist of searching for minimal sets of concepts (for query restrictions) or maximal sets of concepts (for query relaxations).
Thus, time is represented as a bundle of histories passing through simultaneous 'moments' (in Belnap's terminology, see Belnap et al. 2001) and instants here are no longer primitive entities, but maximal sets of simultaneous moments.
The most classical treatment of this sort proceeds by construing temporal instants as maximal sets of pairwise simultaneous (or partially simultaneous) events [Russell 1914; Whitehead 1929; Walker 1947], but other treatments are possible.
These SSE pairs are then merged into sets using a modified Apriori algorithm, which will test the similarity of various sets of SSE pairs incrementally until all the maximal sets of SSE pairs that deemed to be similar are found.
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fastG apF ill allows to identify stoichiometrically inconsistent reactions from filling gaps, by using the scalable approach for approximate cardinality maximization used within fastcore, to compute a maximal set of metabolites in U that are involved in reactions that conserve mass.
And most countries still don't have anything like it: Here's what we want kids to know in eighth grade, so let's measure and track that, and make it clear what our minimal and maximal set of objectives are.
A method for constructing a maximal set of independent reactions is presented.
A maximal set of facts contains all non-contingent facts (if any), and is never empty.
The main objective is to obtain policies that generate the maximal set of recurrent states, subject to convex constraints on the set of invariant probability mass functions.
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