Sentence examples for proposition under the from inspiring English sources

Intuitively, the strongest necessary condition of a proposition is the most general consequence that we can deduce from the proposition under the given theory, and the weakest sufficient condition is the most general abduction that we can make from the proposition under the given theory.

Teaching can be a difficult proposition under the best of circumstances, and teaching evolution can present its own challenges but can also bring its own very special rewards.

According to the proposition, under the assumption that patient dumping is allowed only for private hospitals, social welfare can be improved by abolishing the outlier payment policy against many diseases in areas where more private hospitals operate.

This is what happens when John utters 'He is making a mess' and 'I am not making a mess' in the slightly modified example: John believes the singular proposition that John is making mess under the character of 'He is making a mess' but believes the negation of that proposition under the character of 'I am not making mess'.

This leads to the following proposition: Under the conditions provided by expressions (3) and (4) for the resolution of the intertemporal optimization problem, the corresponding steady-state level always leads to a situation of overcongestion in the number of immigrants accommodated in the hosting facilities.

This can be summarized in the following proposition: Under the conditions provided by expressions (3) and (4) for the resolution of the intertemporal optimization problem, there will be two different paths of convergence for the flow of immigrants and congestion level towards the steady state depending on the value assumed by γ.

When the speakers make a practice of asserting the proposition under these conditions, they become the proposition's truth conditions.

Coherentists can then maintain that speakers can only make a practice of asserting a proposition under conditions the speakers are able to recognise as justifying the proposition.

In a faltering economy, you can brown bag it or settle for do-it-yourself manicures, but some women are approaching their high-end hairstylists with under-the-table propositions.

Proposition 2.7 Under the same assumptions as in Proposition 2.3 and r i A ≡ ∑ j ∈ A i r j, we have R q ( p 1, p 2, …, p n ∥ r 1, r 2, …, r n ) ≥ R q ( p 1 A, p 2 A, …, p k A ∥ r 1 A, r 2 A, …, r k A ). (25).

Moreover, by induction on degree and Proposition 3.12, it suffices to do it in the situation of Proposition 3.8, under the assumption that the functor (Phi ) sends (C_0 subset mathcal {C}_0') into (mathcal {C}_1 subset mathcal {C}_1') and preserves finite limits.