Sentence examples for replacement principle from inspiring English sources

And a logic L satisfies the weak replacement principle if and only if the Suszko congruence of the set of theorems of L is the interderivability relation {< φ, ψ>: φ ⊢L ψ and ψ ⊢L φ}.

A logic L satisfies the strong replacement principle if and only if for every L-theory T its Suszko congruence is the interderivability relation relative to T, namely the relation {< φ, ψ>: T, φ ⊢L ψ and T, ψ ⊢L φ}.

In fact there is a connection between the replacement principles and the Suszko congruence (and thus with the Leibniz congruence).

They are defined from a completely different perspective from the one provided by the behaviour of the Leibniz operator, namely from the perspective given by the replacement principles a logic might enjoy.

Some scholars question management replacements in principle, as terminated managers experience significant personal costs after forced replacement (e.g., no employment in listed firms for at least 3 years).

Because of this, he should defer to the will of the people in this next election and allow his Republican successor to nominate a replacement whose principles are more aligned with the conservative values that built this country into what it is today - the one and only true powerhouse of the world, despite the fact that the Democrats are practically trying to give the damn title away to China.

For full explication, see text Fig. 4 The Hannah Principle: replacement of Stölzel by Périnet valves.

Currently, the accepted ethical standards for the regulation of animal experimentation are provided by the 3R principle (Replacement, Reduction and Refinement).

However, due to ethical considerations according to the '3R' principle (replacement, reduction and refinement) in animal research [25], we considered this sample size to be sufficient to demonstrate the principle value of MTR for the detection of CAF.

Using transfinite induction one can prove in ZFC (and one needs the axiom of Replacement) the important principle of transfinite recursion, which says that, given any definable class-function $G V\to V$, one can define a class-function $F ON\to V$ such that $F(\alpha)$ is the value of the function $G$ applied to the function $F$ restricted to $\alpha$.

According to the 3Rs principle (replacement, reduction and refinement) for experiments, the dilution of 1 10 was chosen instead of 1 5 so as to consume less serum from guinea pigs.