Sentence examples for our axiom from inspiring English sources

Our axiom should be that the struggle against western neocolonialism as well as the struggle against fundamentalism, the struggle of WikiLeaks and Edward Snowden as well as the struggle of Pussy Riot, the struggle against antisemitism as well as the struggle against aggressive Zionism, are parts of one and the same universal struggle.

We also show the necessity of our axiom set: for networks that satisfy any subset of the axioms, the same efficiency cannot be guaranteed for any deterministic algorithm.

If in all eligible models, all worlds that are acceptable to any given world have this property of self-acceptability, then our axiom is valid.

We prove that our axiom system is both sound and complete, and we then use this result to develop a sound and complete quadratic time closure algorithm for XFD implication.

If we apply the laws of mathematics to our axiom, we get this: For every plastic bag you recycle, you create 3.3 more, as a result.

Our axioms are enough to prove some fixed point theorems in cone metric spaces over solid vector spaces.

The worry here is not just whether our axioms are true but whether they are even consistent (a pitfall which famously befell Frege's own system).

These include the instances of the equivalence schema (E) for propositions: The proposition that p is true iff p. Given the truth of such axioms, it follows that propositions exist and have the features attributed to them by our axioms.

What's more, some of the results we'll examine later in this entry involve even stronger model-existence assumptions e.g., the existence of a transitive model for our axioms is strictly stronger than the mere existence of a model for our axioms.

We show that the ω-complete proof systems for DC and HDC known from our earlier work can be extended by our axioms and rule in various ways in order to axiomatise iteration completely.

We should note, here, that the initial assumption that our axioms have any model is non-trivial after all, the seconon-trivial after theorem ensures thallwe can'therove the exisecond of such models from wincompletenessmatheoremn.