Difference between revisions of "Sufficient condition"

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(New page: 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.)
 
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A '''sufficient condition''' is one for which the following is true:
 
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.
 
: If A is a sufficient condition of B, then if A is true, B ''must'' be true.
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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.
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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.

Revision as of 22:19, September 11, 2007

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.