Question

can someone please explain truth tables?

Answer 1

i need someone to thoroughly explain how to set up the truth table and what goes on in the table, because i'm clueless.

Answer 2

I am just learning them myself I don't like them myself

Answer 3

flvs doesn't explain it well. i'm hoping someone will show up here to help me :c

Answer 4

I also teach myself I am going though james madison high school

Answer 5

what part of florida do you live in?

Answer 6

orlando. these truth tables are killing me.

Answer 7

oh I was just asking I live in clearwater

Answer 8

somebody pleaseeeeeeeee. i beg you.

Answer 9

@satellite73

Answer 10

we can do it, but it takes step by step

Answer 11

ok, i need to know how to do it

Answer 12

how do you set it up and how do you know whether to put true or false in the boxes?

Answer 13

let me type the first line out, hold on

Answer 14

when you don't see my picture up at the top, it doesn't mean i'm not here. open study is stupid with my computer. i'm still here paying attention. i also have to refresh every time i post something or else it continues to say i'm still typing

Answer 15

\[
\begin{array}{|c|c|c}
p
& q
& p\lor{}q \\
\hline
T & T & T\\
T & F & T \\
F & T & T\\
F & F & F \\
\hline
\end{array}

\]

Answer 16

so how did you know where to put the Ts and Fs?

Answer 17

there is the first part, all combinations of true and false for P and Q

Answer 18

well it doesn't really matter, just so you have all the four possible combinations
that part is just sort of traditional

Answer 19

i don't get it.

Answer 20

you need both true, both false, p true and q false, and p false and q true
all possiblities

Answer 21

i still don't understand :c i'm so stupid

Answer 22

each statement could either be true or false, just like if you flip two coins, you could get
h h
h t
t h
t t

four possibilities

Answer 23

so the order of the Ts and Fs don't matter? or what? :/

Answer 24

no but you have to make sure you have all four possible combinations
so it is just easier to make the first column
t
t
f
f
and the second column
t
f
t
f

that way you are sure to get all four

Answer 25

...what. could column p v q be all Fs? or all Ts?

Answer 26

ok lets go slow

Answer 27

yes please.

Answer 28

i think you are worrying about the truth value of P and Q
forget that
we don't consider whether they are true or false, they could be either
we only need to write down all possibilities

Answer 29

imagine instead you flip a quarter and a dime
there are four possibilities for them to come up
it could be
(H, H), (H, T), (T, H), (T, T)

Answer 30

when you make the truth table you just have to make sure you have all four possible combinations, so the first then to write is this
\[\begin{array}{|c|c}
p
& q
\\
\hline
T & T \\
T & F \\
F & T \\
F & F \\
\hline
\end{array}\]

Answer 31

ok, but how did you know it was t, t, t, f?

Answer 32

first row means both are true
second row means p is true and q is false
third row mean p is false and q is true
fourth row means p is false and q is false

Answer 33

ok now we are ready to continue right?

Answer 34

i mean we got the first two columns, and know what it means

Answer 35

now we are ready for the third column \(p\lor q\)

Answer 36

ok, so there's 4 rows because there's 4 possibilities? are there ever more than 4 possibilities?

Answer 37

not with two statement, are there?
if you had three statements p, q, r you would need \(2^3=8\) rows

Answer 38

o_O ok..

Answer 39

imagine if you had more
ok we know there are four possibilities, and also we have the start, now we continue

Answer 40

\[\begin{array}{|c|c|c}
p
& q
& p\lor{}q \\
\hline
T & T & \\
T & F & \\
F & T & \\
F & F & \\
\hline
\end{array}\]
we have to fill in the last column
what does \(p\lor q\) mean? it means p "or" q, meaning one, or the other, or both. so if one or the other or both are true, you put a T
if they are both false, you put and F

Answer 41

let me know if that is clear or not

Answer 42

so yo would have a T and a F in that column...how do you know if the other 2 are true or false?

Answer 43

again you are worrying about whether the statement is true or false. we will worry about that later, we just need all possible combinations

Answer 44

look at the first row. both statements are T right?

Answer 45

yes

Answer 46

so you put a T in that row, under \(p\lor q\)

Answer 47

ok, the whole top row will be Ts?

Answer 48

now look at the next row. p is T, q is F, but one of them is T, so you put a T in that row as well

Answer 49

in the third row p is F, q is T, so again we put a T under \(p\lor q\)

Answer 50

only in the last row, both p and q are F, so in that row we put an F

Answer 51

wait, wait. i'm still not understanding how you know when to put a T or F. you said that if one is T and one F, then you HAVE to put a T?

Answer 52

we should be looking at \[\begin{array}{|c|c|c}
p
& q
& p\lor{}q \\
\hline
T & T & T\\
T & F & T \\
F & T & T\\
F & F & F \\
\hline
\end{array}\]

Answer 53

ok let me slow down

Answer 54

what does \(p\lor q\) mean in english?

Answer 55

p or q

Answer 56

yes

Answer 57

with the understand that "or" in math means one, or the other, or both

Answer 58

ok

Answer 59

alright guys, i've been watching videos while open study was down, so i think i might actually get it now. thanks for trying to help :)