Sentence examples for exists entails from inspiring English sources

So x is a truth-maker for a truth p iff x exists and another representation that says x exists entails the representation that p. It is an attraction of this principle that the key notion it deploys, namely entailment, is ubiquitous, unavoidable and enjoys a rich life outside philosophy both in ordinary life and in scientific and mathematical practice.

The reason is that the laws of quantification and the definability in Ontology of a necessarily empty term 'Λ', for which it is true that no Λ exists, entail the truth of the quantified proposition 'for some a, no a exists' (cf. T.127 of "Definitions and Theses of Leśniewski's Ontology" in S. Lesniewski's Lecture Notes in Logic).

My belief that I exist entails that I exist, that I have at least one belief, that someone has beliefs, that experience (broadly construed) exists, etc.

'Ronald McDonald' seems like a referring term, open to existential generalization, in the sense that a sentence like 'Ronald McDonald does not exist' entails 'There is something that does not exist', and 'exists' seems like a predicate that applies or fails to apply to the designation of subject-place terms.

It's a feature of this notion that anything whatsoever entails a necessary truth p. It follows as a special case of this that any claim that a given object exists must entail p too.

The temporal analog of Linsky and Zalta's view of contingent existents entails that everything always exists.

For in showing not merely that there is an omnipotent, omniscient, and morally perfect being, but also that it is necessary that such a being exists, it would entail that the proposition that God does not exist must have probability zero on any body of evidence whatever.

In the actual world, however, the round square is neither round nor square, since roundness and squareness are "existence-entailing properties", i.e., "b is round/square" entails "b exists".

For instance, the principle of identity, Everything is identical to itself entails There exists something that is identical to itself.

For an actualist, from the fact that there might have been aliens (◇∃xAx), BF entails that there exists something that could have been an Alien (∃x◇Ax).

Intuitively, whenever a theory of actions entails that there exists a situation satisfying a first order formula (e.g., a goal), at least one such situation must be found within a predetermined distance from the initial situation.