Hypothetical Propositions:
Nonstandard Forms
"p if q"

The first and easiest of the nonstandard cases to translate occurs when the consequent is stated first, and the antecedent second.

Example:

I'll stay home tomorrow if I still feel sick.

The component proposition, "I still feel sick" is the antecedent, even though it comes second, because it is the "if" component. Thus, in standard form: "If I still feel sick, then I will stay home tomorrow." In general, "p if q" should be translated as, "If q, then p."


"p if q" | "p only if q" | "p if and only if q"
"p unless q" | "Whenever p, q" | "Without p, then q"


Hypothetical Propositions

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