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## anonymous 4 years ago If ~q <=> ~p is T and pf is F, find the truth value of q =>p.

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1. amistre64

another way to express that <=> part is to split it up both ways: -q -> -p -p -> -q

2. amistre64

-q <-> -p is only true if bith those expressions are true

3. anonymous

I meant to say *and p is F. Sorry. So will the value be false?

4. amistre64

dunno, id have to remember all the assorted details :)

5. anonymous

don't you love truth tables?

6. amistre64

p -p q -q -p -> -q -q -> -p -q <-> -p 1 0 1 0 1 1 1 1 0 0 1 1 0 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 aint that the truth :)

7. amistre64

if p is 0 then -p is 1

8. amistre64

other than that, im sure I cant undersatnd the rest of the question

9. anonymous

we also have $\lnot p \leftrightarrow \lnot q \equiv p \leftrightarrow q$

10. anonymous

which certainly means if $\lnot p \leftrightarrow \lnot q$ is true then $q\rightarrow p$ is true

11. amistre64

If ~q <=> ~p is T p -p q -q -p -> -q -q -> -p -q <-> -p 1 0 1 0 1 1 1 0 1 0 1 1 1 1 and p is F, p -p q -q -p -> -q -q -> -p -q <-> -p 0 1 0 1 1 1 1 find the truth value of q =>p. p q -q <-> -p 0 0 1 0 -> 0 = 1

12. anonymous

wow! but i still think the question is odd. if p iff q, then q implies p and p implies q, really has nothing to do with a particular case

13. amistre64

indeed, its just a practice drill :)

14. anonymous

Wow. Thanks for breaking this down. My prof doesn't go this in-depth. Guess he gets bored since he already knows this stuff haha

15. amistre64

im in calc 3 and my teacher is still teaching us ow to add and subtract fractions; since there are students in class that have no idea how to .... makes me wonder how they even got there to begin with

16. amistre64

then she wonders why she gets behind in the lessons plans :)

17. anonymous

do you have to put the fractions over the same denominator? or can you just add straight across?

18. amistre64

i just add straight across and hope for the best lol

19. anonymous

Remarkable. Talk about breaking away from the syllabus..sheesh

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