Sentence examples for calculus is complete from inspiring English sources
The discoveries that the calculus is complete and undecidable are much more profound than the discovery of its consistency.
It is easy to show that the propositional calculus is complete in the sense that every valid sentence in it i.e., every tautology, or sentence true in all possible worlds (in all interpretations)—is a theorem, as may be seen in the following example.
Once the play-calling calculus was complete in his head, Jets Coach Herman Edwards could reach just one conclusion.
The calculus CL≥ is complete in the sense that if M ≥ N in the sense we have just described, then CL≥ proves M ≥ N.
Thus, an indirect calculus is refutation complete if Γ ⊨ α implies Γ∪ ⊢ ⊥.
Couched à la Wittgenstein in terms of variables, the UAT declares that all general natural-language sentences may be represented in a formal system on the quantifier/variable model that (with Quine) we speak of nothing which cannot figure as the value of a variable;[4] or more precisely, that if not restricted to first-order versions, the system of the predicate calculus is ontologically complete.
Huang and Valtorta (2006) and Shpitser and Pearl (2006) have independently proven this calculus to be complete, so that it characterizes all of the post-intervention probabilities that can be expressed in terms of simple conditional probabilities.
Nor, furthermore, need we assume that each such system is complete (though Frege took Thomae to task for the incompleteness, massive though readily rectifiable, of his arithmetic calculus).
However, complete staghorn calculus is rare in polycystic kidney disease and predicts a gloomy prognosis of kidney.
The calculus is undeniable.
