1. ## Categorical Logic

Is this right,

Translate into standard form:
The only boys who deserve cake are good ones.

2. Hello, Amber!

You'll have to explain what concepts you've been taught already.
To me this is a strange problem . . .

Translate into standard form:
The only boys who deserve cake are good ones.

Answer: Some B are G . . . . . I don't agree
First of all, I'm not sure what "standard form" means in your course.

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.

Standard form right now is just simply stating the names of the classes for example.....
Every good boy deserves cake

Only good boys deserves cake
answeer All G are C

4. Originally Posted by ambergarrett955
Standard form right now is just simply stating the names of the classes for example.....
Every good boy deserves cake
answer All G are C YES

Only good boys deserves cake
answeer All G are C NO
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.

5. ## Quantifier

Could someone please explain what a quantifier of a preposition is....in categorical logic...Thank You

6. Originally Posted by ambergarrett955
Could someone please explain what a quantifier of a preposition is....in categorical logic...