Is this right,
Translate into standard form:
The only boys who deserve cake are good ones.
answer: Some B are G
Hello, Amber!
You'll have to explain what concepts you've been taught already.
To me this is a strange problem . . .
First of all, I'm not sure what "standard form" means in your course.Translate into standard form:
The only boys who deserve cake are good ones.
Answer: Some B are G . . . . . I don't agree
The statement itself is an unusual one to translate.
It says: Only good boys deserve cake.
We can translate this a number of ways:
. . "If a boy deserves cake, then he must be a good boy."
. . "A boy deserves cake only if he is good."
. . "Bad boys do not deserve cake."
It does not say: "If a boy is good, then he deserves cake."
It does not even say that there are any good boys.
This problem has a long history. Irving Copi set of quite a discussion of a similar problem in his symbolic logic text. We were to quantify the following: Only the brave deserve the fair. The key to it turns on a simple fact. “P only if Q” is equivalent to “If P then Q”. Anyone deserving the fair must be among the brave: $\displaystyle \left( {\forall x} \right)\left[ {F(x) \to B(x)} \right]$.
Now you apply that bit of history to your problem.
First, please start a new thread when posting a new question.
Do you have a textbook? Do you have an instructor?
Because, the question you have posed takes up an entire chapter is most logic texts. It is a huge question.
If you have a particular problem to work, post it exactly as written. Maybe we can help.