Sentence examples for propositions below from inspiring English sources

In discussing recent accounts of structured propositions below, it will be shown how, on those accounts, sentences that are necessarily equivalent may express distinct propositions; and how the semantic values of expressions in a sentence are recoverable from the proposition expressed by the sentence.

Using Corollary 2.5, we can prove the propositions below.

There are some natural examples of composite functionals that are embodied in the propositions below.

The equations needed for the E- and M-steps are summarized in the propositions below.

Furthermore, we give two propositions below to state the meanings of Theorems 2.1 and 2.2, respectively.

Such a view immediately raises a worry about false propositions (discussed below in connection with Russell's POM account of propositions).

The fact that it has this feature and that its main competitor, the possible worlds account of propositions (discussed below), doesn't is one of the reasons many favor the structured proposition view.

Our counterexample uses Proposition 3.2 below, which is a kind of comparison test for functions in ℱ.

When we refer to admissible speeds, we have (7) in mind; anyway the existence of solutions to (7) in practice depends on condition (i) (see Proposition 3.2 below).

The Proposition 2 below can give the LMI formulations of these inequalities, which is proved in Appendix D. Using Lemma 1 and some matrix lemmas, the first two constraint inequalities in (26) can be, respectively, expressed as (27) (27).

The result is presented in the proposition below.