Sentence examples for formalized sentences from inspiring English sources

Frege (and Russell) devised an ingenious procedure for regimenting binary quantifiers like "every" and "some" in terms of unary quantifiers like "everything" and "something": they formalized sentences of the form $\ulcorner$Some $A$ is $B$$\urcorner$ and $\ulcorner$Every $A$ is $B$$\urcorner$ as $\exists x (Ax \wedge Bx)$ and $\forall x (Ax \rightarrow Bx)$, respectively.

Among philosophers he is especially known for his mathematical characterizations of the concepts of truth and logical consequence for sentences of classical formalized languages, and to a lesser extent for his mathematical characterization of the concept of a logical constant for expressions of those same languages.

In addition, the sentencing process has become more formalized, with the judges being required to present explicit findings concerning how they reached decisions.

The standard response to this argument goes along the following lines (this objection goes back to Putnam 1960; see also Boolos 1968, Shapiro 1998): The argument assumes that for any formalized system, or a finite machine, there exists the Gödel sentence which is unprovable in that system, but which the human mind can see to be true.

A logical approach toward this problem consists in enriching a formalized language \(L\) with a truth predicate \(T\), to be applied to sentences of \(L\) – or, even better, to be applied to sentences of the extension \(L_{T}\) of \(L\) with the predicate \(T\).

Its being formalized basically makes life easier.

Think formalized informality, musicians' motions coolly exaggerated.

The process of predicting earnings has become more formalized.

The dance, in short, was a highly formalized probe.

"He introduced formalized styling into the automobile industry," Mr. Lewis said.

Of course, there were no formalized end-of-life directives.