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OpenStudy (anonymous):
@jim_thompson5910
This is my last question.
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jimthompson5910 (jim_thompson5910):
are you able to convert the sentences into logical expressions?
OpenStudy (anonymous):
Either way he's not going swimming.
jimthompson5910 (jim_thompson5910):
yes that's a valid conclusion
jimthompson5910 (jim_thompson5910):
let
p = the weather is cold
q = he goes swimming
jimthompson5910 (jim_thompson5910):
~p = the weather is not cold
~q = he will not go swimming
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jimthompson5910 (jim_thompson5910):
so what are the logical expressions?
OpenStudy (anonymous):
If p, then not q.
If not p, then not q.
I'm confused because the first statement has not..
jimthompson5910 (jim_thompson5910):
so you can write it as
p --> ~q
~p --> ~q
OpenStudy (anonymous):
I know the 2nd statement seems like an inverse.
The 1st one is throwing me off..
jimthompson5910 (jim_thompson5910):
let's draw up a truth table for both p --> ~q and ~p --> ~q
|dw:1418181003621:dw|
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jimthompson5910 (jim_thompson5910):
The first column will have TTFF
the second will have TFTF
|dw:1418181122401:dw|
that covers every possible truth value combo of p & q
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