Sentence examples for rule of uniform from inspiring English sources

This permits the reintroduction of the rule of Uniform Substitution.

Hence, Lewis's rule of Uniform Substitution fails (if p∧¬p is substituted for p in ◊p we derive ◊(p∧¬p), which is L-false, not L-true).

We conclude that in many cases the simple first-best rule of uniform emission pricing remains a practical guideline for unilateral climate policy design.

The system, following Frege, is based on implication $C $$ and negation $N $$ alone, with the elegant axiom set and three rules of inference: modus ponens, a rule of uniform substitution of formulas for propositional variables, and a rule of definitional replacement.

For a taste of what they can do, notice that they yield a succinct justification of a rule of Uniform Substitution, whereby a formula of the form $A(B/p)$ is a theorem whenever $A$ is a theorem, provided that $B$ is free for $p$ in $A$.

Rules of uniform substitution for predicate calculi, though formulable, are mostly very complicated, and, to avoid the necessity for these rules, axioms for these systems are therefore usually given by axiom schemata in the sense explained earlier (see above Axiomatization of PC).

There is a position - not at all unfamiliar in contemporary discussion - which says that to be a citizen is essentially and simply to be under the rule of the uniform law of a sovereign state, in such a way that any other relations, commitments or protocols of behaviour belong exclusively to the realm of the private and of individual choice.

It is an important principle that, whenever a wff is valid, so is every substitution-instance of it (the rule of [uniform] substitution).

It also has power over all matters deemed in need of uniform rules across the country.

They called for the establishment of uniform rules for gymnasts, coaches and spotters.

The formulation of uniform rules to determine intent based on these recurring circumstances is practicable and, we conclude, necessary.