geometry question on p and q (hypothesis and conclusion)?

Question

if a statement was written like this:

~(p^q)

does that mean "p is not OR q is not."

i don't know if you have to negate the "^" symbol. so if a statement was written like that do you have to negate everything inside the parenthesis?

Answer 1

~(p ^ q) means: not ( p or q ) [Both have to be false for it to be true]

It could be changed into: not p & not q

that is: ~p & ~q [Again, both must be false for it to be true]

The ~ changes the whole thing.

~p ^ ~q is different. [Only one of them needs to be false for it to be true]

hope that helps.

Answer 2

Easy:

You take p^q, find its truth value, then you negate it. Find the answer and switch it, basically

Answer 3

Statistically speaking, p is the probability that the even in question is going to occur and q is the probability that the event in question is NOT going to occur. hope this helps

Answer 4

that would make sense, so im pretty sure everything in the parentheisis would be "not" like this: not P or not Q

Answer 5

~(p^q) means "not (p AND q)".

~(p^q) is equivalent to ~p v ~q, and conversely
~(pvq) is equivalent to ~p ^ ~q.

So yes, this is equivalent to (not p) OR (not q). This makes sense; for (p AND q) to be false it's sufficient for one of p and q to be false, they don't both have to be false.

Answer 6

This is "not (p and q)". So yes the "not" distrubtes to make "not p, OR not q"

Answer 7

~(p^q) means NOT(p and q) which is NOT p or NOT q
or you can write it as ~p \/ ~q