Question

Please help.
Which statement about the argument is true?


Argument:
If Susan does not get enough sleep, she will be tired.
Susan did not get enough sleep.
She will be tired.



The argument is invalid.

The argument is valid, but does not follow the Law of Syllogism or the Law of Detachment.

The argument is valid by the Law of Detachment.

The argument is valid by the Law of Syllogism.

Answer 1

Well first off, yes, the argument is valid. Now, the argument is that if Susan (a) doesn't get enough sleep, then she will be tired (b)

So, the argument is set up as "if a, the b" which means it is valid according to the law of syllogism.

Answer 2

Not quite, I believe the agrument is valid but follows the Law of Detachment.

`(1) If p , then q .`
`(2) p`
`Then we can derive a third true statement:`
`(3) q .`

Your statements are in this format...

`If Susan does not get enough sleep(p), she will be tired(q).`
`Susan did not get enough sleep(p).`
`She will be tired(q).`

Answer 3

ok im following o.o

Answer 4

http://www.varsitytutors.com/hotmath/hotmath_help/topics/law-of-detachment.html

Answer 5

. , .

Answer 6

That is the best explanation I can give...in order to understand you must understand Law of Detachment and Syllogism.

In your question you are given a conditional statement. In which you have a hypothesis. And then you derive a true statement from the conditional and hypothesis to get your true conclusion. That is the definition of the Law of Detachment.

Answer 7

Since the conclusion is true due to the conditional and hypothesis then the argument is valid due to the fact it is the definition of the Law of Detachment.

Answer 8

Thanks ig . , .

Answer 9

np :)