Look up Consistency in Wiktionary, the free dictionary.
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Consistency criterion for voting systems, which requires that whenever option A is the winner both in two districts independently it must also be the winner in the combined district
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Although consistency can be proved by means of model theory, it is often done in a purely syntactical way, without any need reference to some model of the logic.
The cut-elimination (or equivalently the normalization of the underlying calculus if there is one) implies the consistency of the calculus: since there is obviously no cut-free proof of falsity, there is no contradiction in general.
Gödel's completeness theorem shows that any consistent first-order theory is complete with respect to a maximal consistent set of formulae which are generated by means of a proof search algorithm.
The case for a consistent ethic of life—one which stands for the protection of the right to life and the promotion of the rights which enhance life from womb to tomb—manifests the positive potential of the Catholic moral and social tradition.
It is both a complex and a demanding tradition; it joins the humanity of the unborn infant and the humanity of the hungry; it calls for positive legal action to prevent the killing of the unborn or the aged and positive societal action to provide shelter for the homeless and education for the illiterate.
A consistent ethic does not say everyone in the Church must do all things, but it does say that as individuals and groups pursue one issue, whether it is opposing abortion or capital punishment, the way we oppose one threat should be related to support for a systemic vision of life.
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