From a deductive-logical point of view, the set of logical consequences of a given state description is a maximal consistent set of sentences of L 3): The set is consistent (consisting as it does of the logical consequences of a consistent sentence) and maximal; no sentence of L 3) not implied by the set is consistent with it.
The plan for the court, which is expected to result in tougher, more consistent sentences for sex offenders, was proposed in 2002 but moved forward only yesterday after the State Legislature approved $250,000 in funds.
(So every consistent sentence has positive probability).
Misleading, neutral, and consistent sentences were counterbalanced.
The first establishes that the consequence of revising any theory with a consistent sentence leads to a consistent output.
K-sequences (state descriptions in Carnap's terminology) are the most specific sentences in a language L k): every consistent sentence is logically equivalent to a disjunction of these pairwise incompatible conjunctions, so fixing the probabilities of all state descriptions, which must always sum to one, fixes the probability of every consistent sentence in the language.
Even worse, given an arithmetical sentence (i.e., a sentence not containing T) that can neither be proved nor disproved in PA, one can find a consistent T-sentence that decides this sentence (McGee 1992).
These laws were conceived as a way to provide consistent, stern sentences for all offenders who commit the same crime.
"Our proposals will help ensure a consistent approach to sentencing, allowing fair and proportionate sentences across the board, with some of the most serious offenders facing tougher penalties.
The Associated Press reported yesterday that the court agreed to determine whether Mr. Rolax's term was consistent with certain sentencing guidelines.
