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In the study of truth-conditional semantics, the relationship between two propositions ...
In the study of truth-conditional semantics, the relationship between two propositions can be defined by the notion of entailment. Consider the following sentences:
1. Julian managed to renovate the old Victorian mansion.
2. Julian renovated the old Victorian mansion.
Based on the semantic properties of the verb "manage", it is correct to assert that:
A
Sentence 1 presupposes sentence 2, meaning that if 2 is false, 1 has no truth value.
B
Sentence 1 unilaterally entails sentence 2, as the truth of 1 guarantees the truth of 2 due to the lexical semantics of "manage".
C
Sentences 1 and 2 are in a relation of mutual entailment (paraphrase), since "manage" is a semantically empty auxiliary in this context.
D
Sentence 1 and 2 present a conversational implicature, where the effort implied in 1 can be cancelled without affecting the truth of 2.