SOLUTION: please please help me, i have posted this problem several times and no one will respond. if the argument is valid, name which of the four valid forms of argument is represented. i

Algebra.Com
Question 485670: please please help me, i have posted this problem several times and no one will respond.
if the argument is valid, name which of the four valid forms of argument is represented. if it is not valid, name the fallacy that is represented.
if i sing in the shower, then i will not be overheard while singing.
i was overheard while singing
therefore i did not sing in the shower.

Found 2 solutions by solver91311, Theo:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The argument is valid because the contrapositive of a conditional proposition always has the same truth value as the original proposition:




John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
if i sing in the shower, then i will not be overheard while singing.
i was overheard while singing
therefore i did not sing in the shower.

this looks like it is valid by the law of contra-position.

the law of contra-position states:

if p then q
not q
therefore not p

let p = i sing in the shower
let q = i will not be overheard while singing.

the statement:
if i sing in the shower then i will not be overheads while singing
translates to:
p -> q

i was overhead while singing translates to:
~q

therefore i did not sing in the shower translates to:
~p

the whole argument of:
if i sing in the shower, then i will not be overheard while singing.
i was overheard while singing
therefore i did not sing in the shower.

translates to:
p -> q
~q
therefore ~p

This is valid by the law of contra-position.

here's some additional information that might be helpful.

v means or
^ means and
~ means not
-> means implies
<-> means is equivalent to

STATEMENT LAWS AND FALLACIES

RELATED QUESTIONS

Hello, i have posted this problem several times, and i cant seem to get help. can you... (answered by MathLover1)
Please help me solve this, I have posted it several times. Determine if the ordered... (answered by jim_thompson5910,stanbon)
If the argument below is valid, name which of the four valid forms of argument is... (answered by Deina)
Hello, Can someone please help me with this problem. I think the answer is its a... (answered by richwmiller)
Hello, Can someone please help me. I submitted this problem yesterday and it due in... (answered by rapaljer)
Please help me out with this graphing problem. I have posted this problem several... (answered by stanbon)
Please help again, i have also posted this problem several times, and yet no response.... (answered by Theo)
Hello Someone told me to put this in the logic topic. So here it is again.Can... (answered by stanbon)
I am not the brightest crayon in the box when it comes to algebra, but this stuff is... (answered by user_dude2008,Mathtut)