Hypothetical Propositions:
Nonstandard Forms
"Whenever p, q"

Another nonstandard form is, "Whenever p, q."


"Whenever I get anxious, I start eating more."

A proposition of this form is about a class of occasions; it states a general rule. It would thus be possible to formulate it as an A categorical proposition:

"All occasions on which I feel anxious are occasions on which I eat more."

However, it is usually more natural to formulate it as a hypothetical proposition: "If I get anxious, then I eat more." Thus, "Whenever p, q" means "If p, then q."

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

Hypothetical Syllogisms

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