f the weather is cold, Natalie will not go swimming.
The weather is cold, or Natalie will not go swimming.
Use the truth tables to determine whether the two statements are logically equivalent. Justify your answer.
I think they are NOT equivalent but i don't know the words to explain it!!

Question

f the weather is cold, Natalie will not go swimming.
The weather is cold, or Natalie will not go swimming.
 Use the truth tables to determine whether the two statements are logically equivalent. Justify your answer.
I think they are NOT equivalent but i don't know the words to explain it!!

anonymous · Answer

@.Sam. or @Zarkon can you please try & help mere

anonymous · Answer

u there??

anonymous · Answer

You have to use truth tables. That means basically checking every possible combination of true and false in elementary sentences. Let's rephrase our sentences into formal logic first:
p - "Weather is cold.", q - "Natalie will go swimming."

"Logically equivalent" means that for the same p and q, they will have the same logical value. First sentence is p=> ~q and second is p \/ ~q.
Okay, then our truth table:
 |dw:1339705191718:dw|

Oh, I started to explain this, but now I see it was kinda pointless, because in the first example we can see, that they are indeed NOT equivalent. Justification would of course be saying that for p true and q true those senteces have different logical values.