1 Sentences With "nonstandardly"

How to use nonstandardly in a sentence? Find typical usage patterns (collocations)/phrases/context for "nonstandardly" and check conjugation/comparative form for "nonstandardly". Mastering all the usages of "nonstandardly" from sentence examples published by news publications.

type: All Declarative Interrogative Exclamative

structure: All Simple Compound Complex Compound-Complex

length: All <=10 words 10-20 words 20-30 words 30-50 words

An ω-model of T is a model of T whose domain includes the natural numbers and whose specified names and symbol N are standardly interpreted, respectively as those numbers and the predicate having just those numbers as its domain (whence there are no nonstandard numbers). If N is absent from the language then what would have been the domain of N is required to be that of the model, i.e. the model contains only the natural numbers. (Other models of T may interpret these symbols nonstandardly; the domain of N need not even be countable, for example.) These requirements make the ω-rule sound in every ω-model.