Formal Notation
The hypothetical syllogism rule may be written in sequent notation:
where is a metalogical symbol meaning that is a syntactic consequence of, and in some logical system;
and expressed as a truth-functional tautology or theorem of propositional logic:
where, and are propositions expressed in some formal system.
Read more about this topic: Hypothetical Syllogism
Famous quotes containing the word formal:
“Good gentlemen, look fresh and merrily.
Let not our looks put on our purposes,
But bear it as our Roman actors do,
With untired spirits and formal constancy.”
—William Shakespeare (1564–1616)