Sentence examples for standard postulates from inspiring English sources

Moreover, given suitable axioms, standard postulates for natural-number arithmetic can be derived as theorems within set theory.

In this paper, we present a formal analysis of the deficiency of the standard postulates alone, and we show how to solve the problem by an additional postulate of independence.

So Hilbert and his students set out to prove statements such as the consistency of the standard postulates of mathematical analysis.

One solution consists in modifying the BRMs and restricting closure under expansions, while keeping preservation and other standard revision postulates.

Hence, Abhaya Nayak (1994) has proposed that not only the belief states but also the inputs should be binary relations (that satisfy the standard entrenchment postulates except Minimality).

But the evidence for religious claims — metaphysical arguments from plausible but disputable premises, intermittent and often vague experiences of the divine, historical arguments from limited data, even the moral and intellectual fruitfulness of a religious life — typically does not meet ordinary (common-sense or scientific) standards for postulating an explanatory cause.

These mutants are eliminated by natural selection, just as standard evolutionary theory postulates.

The answer is positive when the standard IC merging postulates are reinterpreted as suitable properties for judgment aggregation rules.

As such, it seems reasonable to postulate that standard mitochondrial isolation procedures, which by definition must disrupt mitochondrial structure due to the mechanical nature of the homogenization and centrifugation procedures (Figure 1), could have quite dramatic effects on mitochondrial function.

The Koch–Henle postulates, the gold standard in evaluating causation of disease, have limitations when applied to systems with mixed microbial communities with complex interactions, particularly if pure cultures are not available.

In the first column we estimate a standard labor supply equation, which postulates a log-linear relationship between hours of work and wages controlling for a vector of demographic characteristics (age, education, household non-labor income, number of children, recent pregnancy, and health status), state and year fixed effects.