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Last seen on: Daily Celebrity Crossword – 7/2/19 TV Tuesday
Random information on the term “Triangle”:
In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements, where either both statements are true or both are false.
The connective is biconditional (a statement of material equivalence), and can be likened to the standard material conditional (“only if”, equal to “if … then”) combined with its reverse (“if”); hence the name. The result is that the truth of either one of the connected statements requires the truth of the other (i.e. either both statements are true, or both are false). It is controversial whether the connective thus defined is properly rendered by the English “if and only if”, with its pre-existing meaning.
In writing, phrases commonly used as alternatives to P “if and only if” Q include: Q is necessary and sufficient for P, P is equivalent (or materially equivalent) to Q (compare material implication), P precisely if Q, P precisely (or exactly) when Q, P exactly in case Q, and P just in case Q. Some authors regard “iff” as unsuitable in formal writing; others consider it a “borderline case” and tolerate its use.