Sentence examples for formalized ideal from inspiring English sources

Assume also that the world is infinite in size and that our formalized ideal theory T says it is.

Thus, to succeed, ideal mathematics must be conservative over the real part: whenever formalized ideal mathematics proves a real formula P, P itself (or the finitary proposition it expresses) must be finitarily provable.

Now consider a theory T which formalizes ideal mathematics and its subtheory S which formalizes real mathematics.

also used to formalize the ideal scheme.

It is no wonder that when the Grateful Dead established the Rex Foundation in 1983 to proactively guide their philanthropic giving, they formalized an approach to community engagement that extended from the primary ideals of the 1960s.

The ideal samurai was supposed to be a stoic warrior who followed an unwritten code of conduct, later formalized as Bushidō, which held bravery, honour, and personal loyalty above life itself; ritual suicide by disembowelment (seppuku) was institutionalized as a respected alternative to dishonour or defeat.

His treaty was never formalized.

She formalized her marriage as an "arrangement".

"It formalized a hobby," he said.

He formalized the theory of matrices.

It formalized the approval in February.