Sentence examples for foundational theory for from inspiring English sources

But even the simple theory of types eventually fell out of favor as a foundational theory for mathematics possibly because in the wake of the Byzantine ramified theory, no version of type theory could find favor among mathematicians themselves.

Two core virtues which Maddy identifies for set-theoretic axioms are UNIFY (i.e. that they provide a single foundational theory for deciding set-theoretic questions) and MAXIMIZE (i.e. that they not arbitrarily restrict the range of isomorphism types).

Logicist doctrines were espoused in two main forms—Fregean and Russellian until around 1930, at which point logicism went into decline, largely because of the discovery of Gödelian incompleteness, and the ascendancy of Zermelo-Fraenkel set theory, which displaced the Russellian theory of types as the most promising foundational theory for mathematics.

LeCun was the progenitor of convolution neural nets, which today form one of the foundational theories for deep learning AI.

In recent years many models of parts of such foundational theories for intuitionistic mathematics have appeared, some of them have been mentioned above.

The second type of theory, that we can label a foundational theory of word meaning, is interested in singling out the facts whereby lexical expressions come to have the semantic properties they have for their users.

Accordingly, one sort of approach to foundational theories of meaning is simply to deny that there is any true foundational theory of meaning.

Consequently, a mixture of the above two approaches can constitute the foundational theory of status discordance.

It would have better application prospect to investigate the foundational theory of fuzzy differential equation deeply.

Some have found the price too much to pay, and have sought other approaches to the foundational theory of meaning.

To be sure, the shape of a correct semantic theory may place constraints on the correct foundational theory of meaning, or vice versa; but that does not change the fact that semantic theories and foundational theories are simply different sorts of theories, designed to answer different questions.