Sentence examples for exist as a set from inspiring English sources

Thus, knowledge does not exist as a set of isolated formal propositions; all that we know is within a system.

In the light of this distinction, Russell's contradiction shows that the collection R of sets of first kind does not exist as a set.

For a geometrically and stochastically complete, noncompact Riemannian manifold, we show that the flows on the path space generated by the Cameron Martin vector fields exist as a set of random variables.

It is immediate to see that Burali-Forti's antinomy cannot be derived in Zermelo's system, since the collection of all order types does not exist as a set, and Russell's paradox simply becomes the theorem that there does not exist a universal set.

One possibility is the use of simple sequence repeat (SSR) markers, which now exist as a set of more than 5,000 assayable loci, many of which are published and show promise as tools for peanut research [ 16- 25].

The incorporation of labelled material causes all central metabolic intermediates to exist as a set of different isotopomers, which are a collection of isomers that have different labelling patterns of C and C carbon atoms.

The implications for Grant Thornton, a much smaller outfit that exists as a set of global affiliates, are less clear.

The sounds, in classic Cage style, were ordered by chance, just as in George Lewis's "Artificial Life 2007 200707), which exists as a set of undefined directions for the players to interpret.

Firstly, metapopulation structure, in which a species exists as a set of local host and parasite demes, generates demographic processes such as random genetic drift, limited dispersal between demes and extinction-recolonisation events, driving local adaptation of hosts or parasites [ 29].

The suppleness of his prose gives way to stereotypical depictions of two-dimensional characters, both black and white — individuals who seem to exist as set pieces for ideological diatribes rather than nuanced explorations of their full humanity.

In cultured skeletal myoblasts and vascular smooth muscle cells, muskelin exists as a complex set of isoelectric variants.