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Just making sure "sufficient" follows "the only" below and is "true wisdom"? How you diagram this with contrapositive?
"The only true wisdom is in knowning you know nothing "--Socrates
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Just making sure "sufficient" follows "the only" below and is "true wisdom"? How you diagram this with contrapositive?
"The only true wisdom is in knowning you know nothing "--Socrates
8 comments
@tutordavidlevine115 awesome thanks!
There is no double negative. In the antecedent of the now contraposed conditional,
We are only negating what was the consequent of the original statement, "One knows she knows nothing."
I understand what you are getting at-- in "knowing nothing" there seems to be a negation... but we can't cleanly pull out a statement which will eventually take the double negative; we can only accept the fact that the statement "One knows she knows nothing" is already complex, and negate it just as it is when we perform the contrapositive. Does this make sense?
Think about it this way. Try translating "One does not know she knows nothing," with a double negative and arriving at an equivalent statement. It's not going to work, because the sentence isn't of the form "Not Not x," but is rather of the form "Not (x Not y)."
And to answer your question, "One does not know she knows nothing" does not mean "One knows she knows something," in any sense. She neither knows something nor knows about knowing this something.
@tutordavidlevine115 so break down all those double negatives. as you said "if one does not know she knows nothing" what is that saying? one knows she knows something??
@tutordavidlevine115 FTW!
The only true wisdom is in knowning you know nothing
rewrite it as logically clear: One has true wisdom only if she knows she knows nothing
symbolize, where T is "one has true wisdom" and K is "she knows she knows nothing"
T > K
the contrapositive is, using a '~' as negation symbol,
~ K > ~ T
which in English is,
If one does not know she knows nothing, then she does not have true wisdom.
@as5324392 I would use Not knowing you know nothing.
@6336 ~kYKN=knowing u know something?
TW>>>>>>KYKN
TW=True wisdom
KYKN= Knowing you know nothing
The contrapositive would be
~KYKN>>>>>~TW