use the law of Detachment or the law of syllogism

jayjay12

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Jul 28, 2007
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use the law of Detachment or the law of syllogism to determine a conclusion that follows from statements (1) and (2). If a valid conclusion does not follow, write no valid conclusion.

(1) If a triangle is a right triangle, then it has two acute angles.
(2) Triangle ABC is a right triangle.

I wrote:

(1) Q is true P is False. So P is also true.
(2) P is true R is False. So p --> R is False.

Triangle ABC is a right triangle and triangle ABC has 2 acute angles are true.

Is this wong.

Please let me know where I went wrong.

Thank you for the help.
 
You really do need to sit down with your instructor and try to understand the whole point of these exercises.

For example, you wrote “If a right triangle, then two acute angles.” That is not even a sentence that makes any sense. Therefore, it cannot be used in an argument.

You really need some one-on-one tutorial help.
 
pka said:
You really do need to sit down with your instructor and try to understand the whole point of these exercises.

For example, you wrote “If a right triangle, then two acute angles.” That is not even a sentence that makes any sense. Therefore, it cannot be used in an argument.

You really need some one-on-one tutorial help.

First of all you need to stop being rude. Secondly, it was a typo. Sorry for being human
 
jayjay12 said:
First of all you need to stop being rude.
How is giving an honest, professional opinion being rude?
I am very sorry you thought me unkind.
I actually don’t mean to be - nor do I realize that I have been.
I suppose being told the truth is sometimes painful.
 
PKA,

I was asking for help because I just received my quiz back and I wanted to now the correct answer for this problem. I wasn't asking for your opinion. By the way I'm passing this class with a B average.
 
jayjay12 said:
use the law of Detachment or the law of syllogism to determine a conclusion that follows from statements (1) and (2). If a valid conclusion does not follow, write no valid conclusion.


(1) If a triangle is a right triangle, then it has two acute angles.(1) If a triangle is a right triangle, then it has two acute angles.
(2) Triangle ABC is a right triangle.

I wrote:

(1) Q is true P is False. So P is also true.
(2) P is true R is False. So p --> R is False.

Triangle ABC is a right triangle and triangle ABC has 2 acute angles are true.

Is this wong.

Please let me know where I went wrong.

Thank you for the help.

Ok....let's try this again.

The law of detachment says that

if you assume

the statement "if a then b" is true,
and if you know that "a" is true,
then "b" is true.

We're assuming this statement is true:
(1) If a triangle is a right triangle, then it has two acute angles.(1) If a triangle is a right triangle, then it has two acute angles.

Statement 2 tells us this: triangle ABC is a right triangle.

Ok...If we BELIEVE statement 1, and we also believe statement 2, we are FORCED to believe that triangle ABC must have two acute angles.

If you have questions about this, PLEASE repost telling us what part of this problem you're having trouble with.



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