Question 1119702: Determine the truth value of each simple statement. Then using the truth values, determine the truth value of the compound statement.
1. If the moon circles the earth and the earth circles the sun, the moon is made of cheese.
2. Honda makes automobiles or Honda makes motorcycles, if and only if Mazda makes cereal.
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
Determine the truth value of each simple statement. Then using the truth values, determine the truth value of the compound statement.
1. If the moon circles the earth and the earth circles the sun, the moon is made of cheese.
2. Honda makes automobiles or Honda makes motorcycles, if and only if Mazda makes cereal.
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1. If the moon circles the earth and the earth circles the sun, the moon is made of cheese.
"the moon circles the earth" - for the goal of this analysis, we can accept this statement as TRUE. (1)
"the earth circles the sun" - for the goal of this analysis, we can accept this statement as TRUE. (2)
By accepting (1) and (2), we accept that the whole statement
"the moon circles the earth and the earth circles the sun" is TRUE. (3)
But the statement "the moon is made of cheese." is, obviously, wrong. (4)
There is no any logical connection (like "implication") between (3) and (4).
The whole logical statement "If the moon circles the earth and the earth circles the sun, the moon is made of cheese." is FALSE.
Honestly, it is unclear to me what you are going to learn from these exercises.
Therefore, I better will keep silent by not spending my time for nothing.
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