Sufficient & Necessary Conditions - Indicators Flashcards
(10 cards)
If
The Rule: “if” introduces a sufficient condition. The other part of the statement is the necessary condition.
When
The Rule: “when” introduces a sufficient condition. The other part of the statement is the necessary condition.
Whenever
The Rule: “whenever” introduces a sufficient condition. The other part of the statement is the necessary condition.
Where
The Rule: “where” introduces a sufficient condition. The other part of the statement is the necessary condition.
Wherever
The Rule: “wherever” introduces a sufficient condition. The other part of the statement is the necessary condition.
Only If/When/Where
The Rule: “only if” introduces a necessary condition. The other part of the statement is the sufficient condition.
Only vs. the Only
The Rule: while “only” by itself always introduces a necessary condition, “the only” actually introduces a sufficient condition.
If and Only If
The Rule: “if and only if” indicates that each variable is both a sufficient and a necessary condition. “If and only if” is diagrammed with a double arrow.
All
The Rule: “all” introduces a sufficient condition. The other part of the statement is the necessary condition.
Every/Each/Any
The Rule: “every” introduces a sufficient condition. The other part of the statement is the necessary condition.