Difference between revisions of "Sufficient condition"
Jump to navigation
Jump to search
(affirming the consequent) |
DavidB4-bot (talk | contribs) (→See also: clean up & uniformity) |
||
| Line 10: | Line 10: | ||
[[Category:Logic]] | [[Category:Logic]] | ||
| − | ==See | + | ==See also== |
[[Modus ponens]] | [[Modus ponens]] | ||
[[Modus tollens]] | [[Modus tollens]] | ||
Latest revision as of 19:52, July 13, 2016
A sufficient condition is one for which the following is true:
- If A is a sufficient condition of B, then if A is true, B must be true.
For example, "I heard thunder" is a sufficient condition of "There was lightning nearby," because if I heard thunder, there must have been lightning nearby to cause it. However, "There was lightning nearby" is not a sufficient cause of "I heard thunder," because there may have been lightning nearby that I did not hear.
Confusing a sufficient condition with a necessary and sufficient condition is a logical fallacy known as affirming the consequent.
From the affirmation of a sufficient condition, one may infer that the necessary condition is true.