Truth Tables

[moeee]

Does anyone know what website to visit to help me with Truth Tables? Im having a hard time understanding some logics about it. :)

[Brian]

OMG I learned about this today!


Here's what I know. Let's take 2 letters, "p" and "q."

Make a chart that is almost like an elongated T chart. Put p and q on the left but don't put a line between them.

Under p you put the following letters in the exact order you see. T = true, F = false


p q
T T
T F
F T
F F


If there is a "~" next to either letter, that is a negation of that letter. In other words, "~p" means "not p." It means q instead.

Other symbols that would help

p ^ q (it should be an upside down V but a carat is the only one that comes close) means "p and q"

p V q means "p or q"

^ = Everything is false unless both statements are true
V = Everything is true unless both statements are false

So take that p and q table I made. If p ^ q applied to it

p q
T T = T
T F = F
F T = F
F F = F

If p V q applied to it


p q
T T = T
T F = T
F T = T
F F = F

Here's an example from my notes. P = false q = true
~ p ^ (p V q)
~F ^ (F V T)
T ^ T
T

Another thing that might be useful:

~ (p V q) = ~p ^ ~q


Does that help a little?

[Belair]

What the hell are truth tables?

[Brian]

What the hell are truth tables?



It's a math thing. It's hard to describe what it's supposed to do.

[Warm & Fuzzy]

What the hell are truth tables?Truth tables are used in solving logic. Are you guys learning this in math class or for a computer class? I'm in computer science major... and I get a lot of these stuff. They drive me nutso. LOL :crazy:

[Brian]

Truth tables are used in solving logic. Are you guys learning this in math class or for a computer class? I'm in computer science major... and I get a lot of these stuff. They drive me nutso. LOL :crazy:


I learned it in an Exploring Mathematics class.

[moeee]

OMG I learned about this today!


Here's what I know. Let's take 2 letters, "p" and "q."

Make a chart that is almost like an elongated T chart. Put p and q on the left but don't put a line between them.

Under p you put the following letters in the exact order you see. T = true, F = false


p q
T T
T F
F T
F F


If there is a "~" next to either letter, that is a negation of that letter. In other words, "~p" means "not p." It means q instead.

Other symbols that would help

p ^ q (it should be an upside down V but a carat is the only one that comes close) means "p and q"

p V q means "p or q"

^ = Everything is false unless both statements are true
V = Everything is true unless both statements are false

So take that p and q table I made. If p ^ q applied to it

p q
T T = T
T F = F
F T = F
F F = F

If p V q applied to it


p q
T T = T
T F = T
F T = T
F F = F

Here's an example from my notes. P = false q = true
~ p ^ (p V q)
~F ^ (F V T)
T ^ T
T

Another thing that might be useful:

~ (p V q) = ~p ^ ~q


Does that help a little?

yes it does! thanks Brian! :D

[Belair]

Ohhhh its MATH.
I failed Math in highschool.Hated it with a passion.

[Sara Micelli]

Ohhhh its MATH.
I failed Math in highschool.Hated it with a passion.

Math is fun, I love it. :eek:

[Georgia's on my Mind]

oh god, im thankful i have no idea what you guys are talking about. i hate math with a passion.

[moeee]

shoot, thats how i felt earlier today when the teacher was explaining the stuff! :lol:

[MsOrange]

oh god, im thankful i have no idea what you guys are talking about. i hate math with a passion.
:yeahthat

[Superstar]

What the hell are truth tables?
I never heard of them either :lol:

[Hollow]

OMG I learned about this today!


Here's what I know. Let's take 2 letters, "p" and "q."

Make a chart that is almost like an elongated T chart. Put p and q on the left but don't put a line between them.

Under p you put the following letters in the exact order you see. T = true, F = false


p q
T T
T F
F T
F F


If there is a "~" next to either letter, that is a negation of that letter. In other words, "~p" means "not p." It means q instead.

Other symbols that would help

p ^ q (it should be an upside down V but a carat is the only one that comes close) means "p and q"

p V q means "p or q"

^ = Everything is false unless both statements are true
V = Everything is true unless both statements are false

So take that p and q table I made. If p ^ q applied to it

p q
T T = T
T F = F
F T = F
F F = F

If p V q applied to it


p q
T T = T
T F = T
F T = T
F F = F

Here's an example from my notes. P = false q = true
~ p ^ (p V q)
~F ^ (F V T)
T ^ T
T

Another thing that might be useful:

~ (p V q) = ~p ^ ~q


Does that help a little?

:lol: we just started a chapter about all that in geometry.

p => q
q => p
not-p => not-q
not-q => not-p.