Say I have the statement: "None of the unnoticed things, met with at sea, are mermaids. "
Lets say: M = set of mermaids
N = set of things noticed
If I wanted to convert this into an if then statment, would it be:
M --> N (if it is a mermaid, then it is noticed)
or
N --> M (if it is noticed, then it is a mermaid)
How do I know which is the correct if-then statement?
Any help is appreciated!
I think I got the statements in my first post mixed up with their contrapositives.
Well, I have
~N -- > ~M
(if it is unnoticed then it is not a mermaid)
Again I'm a little confused, why can't I have it as:
~M --> ~ N
(if it is not a mermaid then it is unnoticed)
Thank you.
your first implication is correct. and note that your second is its converse. it is not always true that the converse of a true implication is true. the converse is equivalent to N --> M, so you are saying that if it is noticed, it's a mermaid. clearly this isn't true, there are tons of things at sea that you notice that are not mermaids.