Sentence examples for set of premises and from inspiring English sources

Suppose, that is, you have a set of premises and a putative conclusion.

We write an argument in the form <Γ, φ>, where Γ is the set of premises and φ is the conclusion.

Replace "0" with "2" and "M" with "Pd" in the argument with premises K and conclusion X and call the resulting set of premises and conclusion "K′" and "X′".

A strategy for player X in a dialogical game is a function taking histories (i.e., sequences of moves of the game whose first member is the thesis (or the set of premises and the thesis) and such that all subsequent moves comply with the rules) where the last move is a Y-move as arguments, and (legal) X-moves as values.

In order to simplify matters, we will assume here that an argument has always a single proposition (rather than a whole set of propositions) as its conclusion, and we will identify an argument with an ordered pair <σ, s> consisting of a set σ of propositions (i.e., the set of premises) and a single proposition s (i.e., its conclusion).

They seem to be closely related because a logical truth can be understood as one the follows from an empty set of premises, and A being a logical consequence of B can be understood as it being a logical truth that if A then B. There are some questions to be ironed out about how this is supposed to go more precisely.

Ordinary deductive reasoning is "monotonic" in the sense that, if a proposition P can be inferred from a set of premises B, and if B is a subset of A, then P can be inferred from A. In other words, in monotonic reasoning, an inference never has to be canceled in light of further inferences.

A model M is said to preferentially satisfy a set of premises A if and only if M is the minimal model (according to the given preference relation) that satisfies A in the usual sense.

A set of premises preferentially entails A if and only if A is true in all the models that preferentially satisfy the premises.

The Secretary issued a memo on April 14 of this year, with a missed completion deadline of five weeks ago, and a set of premises most industry observers found either troublesome or laughable.

According to the dominant twentieth-century interpretation, Hume says here that no ought-judgment may be correctly inferred from a set of premises expressed only in terms of 'is,' and the vulgar systems of morality commit this logical fallacy.