Antecedent (logic)

An antecedent is the first half of a hypothetical proposition, whenever the if-clause precedes the then-clause. It is also known for a person's principles to a possible or hypothetical issue. In some contexts the antecedent is called the protasis.

Examples:

This is a nonlogical formulation of a hypothetical proposition. In this case, the antecedent is P, and the consequent is Q. In an implication, if ϕ implies ψ then ϕ is called the antecedent and ψ is called the consequent.

" X is a man" is the antecedent for this proposition.

Here, "men have walked on the moon" is the antecedent.