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Muzic44
Could someone please help me with this question? Anyone? :c Read the two statements shown below. If the weather is not cold, Meg will go swimming. The weather is cold, or Meg will 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.
do you know how to create truth tables?
Somewhat... Thats with all the odd symbols right?
not sure what you mean by "Thats with all the odd symbols", but go ahead and make one and post it here so we can see it
No, because she can go swimming and the weather can be cold. The first statement only guarantees swimming if the weather isn't cold. It doesn't put away the possibility of her going swimming in cold weather.
@jim_thompson5910 I have no idea what I'm doing sorry.
@Sujay But how to you justify that? Just by looking at it and logically processing it?
ok I'll start you off let p: The weather is cold q: Meg will go swimming So start off |dw:1355618416718:dw|the truth table to get
|dw:1355618482901:dw|
|dw:1355618539480:dw|
|dw:1355618570286:dw|
Could you explain what all that means? O _ O
so that's the truth table for ~p -> q which is the translation of "If the weather is not cold, Meg will go swimming."
you start off with P and Q and you fill out the first column to be T, T, F, F then you do T, F, T, F for the second column this basically sets up all the possible truth value pairings for P and Q
then you fill out the ~P column by flipping everything you see in the P column
This is probably a stupid question but how come there are 4 in each column?
because there are 2^2 = 4 ways to have truth values for P and Q when they pair up
finally, you fill out the ~P -> Q column by only writing F if ~P is true and Q is false otherwise, its true by default
Hold on I kinda forgot the question
How do we figure out if its logically equilvalent? Do I just for whichever statement makes sense in that table?
make a truth table for the second statement "The weather is cold, or Meg will go swimming"
and compare the truth values in the last column
Ya Muzic, that is what I did--something I learned in Geometry.
how did you guys make that table? IS there like a tool or something?
I used the draw feature
under the text box is the draw button
Oh sorry I'm stupid -_-
Okay this is probably wrong but
no worries and you're not
I'll make a blank table for you to fill out
Oh I was just doing the last one like you said. do the other columns matter?
|dw:1355619401948:dw|