Is this right,

Translate into standard form:

The only boys who deserve cake are good ones.

answer: Some B are G

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- Nov 11th 2007, 06:59 AMambergarrett955Categorical Logic
Is this right,

Translate into standard form:

The only boys who deserve cake are good ones.

answer: Some B are G - Nov 11th 2007, 07:46 AMSoroban
Hello, Amber!

You'll have to explain what concepts you've been taught already.

To me this is a strange problem . . .

Quote:

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.

- Nov 11th 2007, 01:31 PMambergarrett955Reply
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

Only good boys deserves cake

answeer All G are C - Nov 11th 2007, 02:12 PMPlato
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. - Nov 12th 2007, 05:02 AMambergarrett955Quantifier
Could someone please explain what a quantifier of a preposition is....in categorical logic...Thank You

- Nov 12th 2007, 05:55 AMPlato
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.