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Ok I have this worksheet and I cannot find these symbols anywhere can you please help me -
[dot] P
p[arrow]q
q[arrow]p
~p[arrow]~q
~q[arrow]~p
p<->(thats supposed to be an arrow going 2 sides)

thanks so much!!!

2007-08-23 15:01:22 · 3 answers · asked by no one 5 in Science & Mathematics Mathematics

please i need this quick!!!

2007-08-23 15:07:41 · update #1

3 answers

[dot] P = point P

p → q = if p, then q (like if something happens, then this will happen)
q → p = same thing as above, but the other way
~p → ~q = not p, then not q (if something doesnt happen, then this wont happen)
~q→ ~p = same as above, but other way
P {arrow} = line P

2007-08-23 15:08:32 · answer #1 · answered by Beccah 2 · 0 1

I, like Fiesta, am at a loss to say what [dot]p means. The arrow, in logic means "implies." Therefore, p -> q means "p implies q," or as others have said, "if p, then q."

The symbol ~ denotes negation. Thus, ~p -> ~q means "not p implies not q."

Finally, the double arrow, <->, means a double implication, meaning "p implies q AND q implies p" or "p if and only if q."

Here are some examples:

(1) Let p be the proposition "A is a square" and q be the proposition "A is a quadrilateral." Now, p -> q.

(2) Let p and q be as above. Then ~q -> ~p. That is, if A is not a quadrilateral then A is not a square. (NOTE: whenever you have p -> q, it follows that ~q -> ~p.)

(3) Let p be "A is a square" and q be "A is a quadrilateral with all sides equal and all interior angles equal." Then
p <-> q.

2007-08-23 23:39:37 · answer #2 · answered by Tony 7 · 0 0

I don't know the first one
if p is true, then q is true
if q is true, then p is true
if p is not true, then q is not true
if q is not true, then p is not true
If you mean p <-> q, then that means that p and q are logically equivalent (both p and q are true, or both not true)

2007-08-23 22:08:13 · answer #3 · answered by FIESTA 3 · 0 0

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