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Fri 6 Mar, 2009 11:12 am
Is the following reasoning correct: For a logical condition to be sufficient (but not necessary) there need to be other sufficient conditions that share/imply the same consequent; if there aren't any, then the above (seemingly) sufficient condition is also a necessary one.
Thank you.
Sorry, I don't know the answer. All I know is an old Star Trek quote: "Logic is a little bird tweeting in meadow; logic is a wreath of pretty flowers which ... smell bad..." Good luck.
Sounds reasonable to me. If there is only one sufficient condition then it must also be necessary and you have an iff scenario.
You can have fun with this with "the virgin birth" and "sexual intercourse".
If A -> B and B -> A, then A is both necessary and sufficient. Without the converse being true, A is just sufficient, but not necessary.
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