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Is there a particular aspect of truth tables you're having trouble with?
construct a truth table for (q ^ p) ---> ~p yes, not sure how to treat the conditional outside of the parentheses
First, draw two columns. One with possible values of the truth of P, and the other with Q so that all possible combinations are made.|dw:1332988660195:dw|
Then create another column column containing the truth values of (p ^ q) |dw:1332988845028:dw|
I know how to setup the chart, but not sure after that
i have across the top : q | p | (q | ^ | p) | --> | ~p
Now we have to treat that conditional you were talking about. Instead of thinking of (p ^ q) as two hypotheses with a conditional, think of as another hypothesis. So let r = (p ^ q).
my teacher gave an example, but never one with the conditional outside of the parentheses that's my confusion.
You already have the truth values for r, so now make two more columns; a column for ~p, and the final one.|dw:1332989078420:dw|
And the last column will be r-->~p|dw:1332989176469:dw|
If the conditional is outside the parentheses, you have to do what's inside first, and use that as a new hypothesis.
awesome. thanks. so the parentheses were throwing me off, but they are simply q and p
q AND p
(q ^ p) is the same thing as (p ^ q). If you see parentheses and you have to do truth tables for them in the future, pretend it's a weird version of arithmetic, and you have to show every single step very clearly. You're welcome. :)
i'm posting another question! :)