Question

This is an indirect proof thingie:
If the weather is not cold, Bud will go swimming.
The weather is cold, or Bud will not go swimming.

Create truth tables for the logical form of the two statements (not to be submitted). Use the truth tables to determine whether the two statements are logically equivalent. Justify your answer.

Answer 1

@FoolForMath please try and help me with this one...

Answer 2

you want ps and qs?

Answer 3

nope. i just need to know if they are logically equivalent.. and why.. no need for the truth table.. ;P

Answer 4

i will let ffm do it but if you want to make nice latex truth tables i have a link
let me find it

Answer 5

IF we assume that this "If the weather is not cold, Bud will go swimming." is true then only the contrapostive of this statement to be true.

Answer 6

Bud will not go to swimming, if the weather is cold.

Answer 7

The contrapositive is the exact opposite in different order also.. right?

Answer 8

Yes.

Answer 9

So that means they are NOT logically equivalent right??

Answer 10

I don't see how they could be.

Answer 11

no they are not
here is the link
try it, it is kind of cool
http://www.kwi.dk/projects/php/truthtable/?

Answer 12

Okay.. thanks guys! :) :)

Answer 13

Glad to help :)

Answer 14

\[
\begin{array}{|c|c|c|c}
P
& Q
& P\Rightarrow{}Q
& P\lor{}Q \\
\hline
0 & 0 & 1 & 0 \\
0 & 1 & 1 & 1 \\
1 & 0 & 0 & 1 \\
1 & 1 & 1 & 1 \\
\hline
\end{array}

\]

Answer 15

Satellite ^^ i have no idea what that is... but thanks I'm sorry for you2 have written that anyway..