Sentence examples for postulate is not from inspiring English sources

However, the model shows that the postulate is not implied by (P.153) any more than it is implied by its restricted variants (P.15ψ,3).

Dedekind's postulate is not satisfied in the Rationals, for the square root of 2, for instance, can be made a boundary between K′ and K″, and (1 - 5) and the assumptions of (6) will be satisfied, without any such x ∈ K as (6) describes existing.

The unit disk can support a non-Euclidean geometry where a familiar Euclidean rule, such as the parallel postulate, is not valid, and distances are computed by a correspondingly unfamiliar metric.

This postulate is not based on any physical law (in principle, all reactions involved in translation are reversible) but rather on the design of the translation system that hampers reverse translation.

The other two, that right angles are equal and the parallel postulate, are not.

The crucial criticism is that the empirical meaning of such further "meaning postulates" is not clear.

It opens with the statistic that most divorces are initiated by women, and this change, the author postulates, is not because men are more adulterous or less amorous but because women are unhappier with their marriages.

It should be noted that this model relying on the three indicated postulates is not refuted by the fact that populations at low risk for breast cancer (e.g. native Chinese populations) have higher levels of most pregnancy – or even adult life – hormones [ 42].

However, I believe these postulates are not always the case.

Returning to the outline of the old quantum theory, Bohr's two postulates were not yet enough to pick out from all of the classically allowed orbits, those orbits corresponding to stationary states.

This, he postulates, was not a case of them bowing at the temple of Wright, Corbusier and Mies, though evidence that those architects did influence their younger colleagues is presented.