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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.
 one year ago
 one year ago
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.
 one year ago
 one year ago

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jim_thompson5910Best ResponseYou've already chosen the best response.1
do you know how to create truth tables?
 one year ago

Muzic44Best ResponseYou've already chosen the best response.0
Somewhat... Thats with all the odd symbols right?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
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
 one year ago

SujayBest ResponseYou've already chosen the best response.0
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.
 one year ago

Muzic44Best ResponseYou've already chosen the best response.0
@jim_thompson5910 I have no idea what I'm doing sorry.
 one year ago

Muzic44Best ResponseYou've already chosen the best response.0
@Sujay But how to you justify that? Just by looking at it and logically processing it?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
ok I'll start you off let p: The weather is cold q: Meg will go swimming So start off dw:1355618416718:dwthe truth table to get
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1355618482901:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1355618539480:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1355618570286:dw
 one year ago

Muzic44Best ResponseYou've already chosen the best response.0
Could you explain what all that means? O _ O
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so that's the truth table for ~p > q which is the translation of "If the weather is not cold, Meg will go swimming."
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
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
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
then you fill out the ~P column by flipping everything you see in the P column
 one year ago

Muzic44Best ResponseYou've already chosen the best response.0
This is probably a stupid question but how come there are 4 in each column?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
because there are 2^2 = 4 ways to have truth values for P and Q when they pair up
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
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
 one year ago

Muzic44Best ResponseYou've already chosen the best response.0
Hold on I kinda forgot the question
 one year ago

Muzic44Best ResponseYou've already chosen the best response.0
How do we figure out if its logically equilvalent? Do I just for whichever statement makes sense in that table?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
make a truth table for the second statement "The weather is cold, or Meg will go swimming"
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
and compare the truth values in the last column
 one year ago

SujayBest ResponseYou've already chosen the best response.0
Ya Muzic, that is what I didsomething I learned in Geometry.
 one year ago

Muzic44Best ResponseYou've already chosen the best response.0
how did you guys make that table? IS there like a tool or something?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
I used the draw feature
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
under the text box is the draw button
 one year ago

Muzic44Best ResponseYou've already chosen the best response.0
Oh sorry I'm stupid _
 one year ago

Muzic44Best ResponseYou've already chosen the best response.0
Okay this is probably wrong but
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
no worries and you're not
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
I'll make a blank table for you to fill out
 one year ago

Muzic44Best ResponseYou've already chosen the best response.0
Oh I was just doing the last one like you said. do the other columns matter?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.