Sentence examples for exactly the same propositions from inspiring English sources

It is thus possible for two individuals in different worlds to assert exactly the same propositions, and yet differ with respect to having asserted a true proposition.

If, within a world, two individuals assert exactly the same propositions, then they are exactly alike vis-à-vis having asserted a true proposition: the one asserted at least one true proposition if and only if the other did.

Besides, according to Proposition 1, this distribution for model (3.1) is exactly the same as for the corresponding linear model with λ i = λ (i + a), δ i = λ (i + b), which was studied in detail in [12].

As both propositions are true in exactly the same set of worlds — namely, all, assuming the necessity of mathematical truths — unstructured-propositionalism entails that they are the same proposition.

express the same proposition on this view.

But if propositions were generally spatially unqualified, they would believe the same proposition.

Therefore the Laplace transform of the hitting time has exactly the same expression as Proposition 2 by replacing μ ± with (tilde {mu }_{pm }).

end{array} Therefore the Laplace transform of the hitting time has exactly the same expression as Proposition 2 by replacing μ ± with (tilde {mu }_{pm }).

The proof is exactly the same as that of Proposition 1.1.

The proof of Proposition 18 follows exactly the same steps as the corresponding one of Proposition 14, therefore we skip completely the details.

The proof is omitted because it is exactly the same as the one of Proposition 5.5 in [12].