I see a lot of practice problems on these conditions to place statements in necessary, sufficient, both, or neither. What dictates a statement as both necessary and sufficient, and what makes a statement neither? I guess I understand the difference and correct me if I’m wrong:
Necessary: Impossible to have Y without X; Absence of X guarantees the absence of Y.
Sufficient: If X, then Y. X’s presence can cause Y, but it doesn’t have to.
What makes a statement both or neither? What makes something necessary but not sufficient? Is that like taking the LSAT to get into law school; it’s necessary, but it won’t guarantee your acceptance. Can you have a statement that’s sufficient and not necessary?
In: Other
Think about this example. If you had a fever, it would be sufficient to diagnose you with an illness, but it’s not necessary – you can have no fever and still be ill.
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