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Formal Logic Help
Posted: Fri Jan 14, 2011 7:34 pm
by *Ari*
Hi,
Just a quick reminder, as I can't remember for the life of me. Can you get the contrapositive of "most" statements? I am weary because I remember "most" statements are a non-reversible term, and it's only "some" "all" statements that can be reversed.
For instance,
"Most successful entrepreneurs work at least 18 hours a day, and no one who works at least 18 hours a day has time for leisure activities. But all happy entrepreneurs have time for leisure activities."
SE ->(Most) 18 -> ~L -> ~HE
What would the contrapositive of this statement be?
HE -> L -> ~18 ->(MOST!?) ~SE
Cheers.
Re: Formal Logic Help
Posted: Fri Jan 14, 2011 7:38 pm
by bhan87
*Ari* wrote:Hi,
Just a quick reminder, as I can't remember for the life of me. Can you get the contrapositive of "most" statements? I am weary because I remember "most" statements are a non-reversible term, and it's only "some" "all" statements that can be reversed.
For instance,
"Most successful entrepreneurs work at least 18 hours a day, and no one who works at least 18 hours a day has time for leisure activities. But all happy entrepreneurs have time for leisure activities."
SE ->(Most) 18 -> ~L -> ~HE
What would the contrapositive of this statement be?
HE -> L -> ~18 ->(MOST!?) ~SE
Cheers.
You're diagramming "no one" incorrectly. No A's are B's. is actually A -> ~B
SE most 18
18 -> ~LE
__________
SE most ~LE
Also, no you can't take the contrapositive of a most statement
Hope this helps!
Re: Formal Logic Help
Posted: Fri Jan 14, 2011 7:42 pm
by *Ari*
bhan87 wrote:*Ari* wrote:Hi,
Just a quick reminder, as I can't remember for the life of me. Can you get the contrapositive of "most" statements? I am weary because I remember "most" statements are a non-reversible term, and it's only "some" "all" statements that can be reversed.
For instance,
"Most successful entrepreneurs work at least 18 hours a day, and no one who works at least 18 hours a day has time for leisure activities. But all happy entrepreneurs have time for leisure activities."
SE ->(Most) 18 -> ~L -> ~HE
What would the contrapositive of this statement be?
HE -> L -> ~18 ->(MOST!?) ~SE
Cheers.
You're diagramming "no one" incorrectly. No A's are B's. is actually A -> ~B
SE most 18
18 -> ~LE
__________
SE most ~LE
Also, no you can't take the contrapositive of a most statement
Hope this helps!
I'm slightly confused. I did diagram "no one" as A -> ~B
But, indeed! It answers my questions about the ability to take contrapositives. I can't believe I haven't had to determine that prior.
Re: Formal Logic Help
Posted: Fri Jan 14, 2011 7:42 pm
by *Ari*
*Ari* wrote:bhan87 wrote:*Ari* wrote:Hi,
Just a quick reminder, as I can't remember for the life of me. Can you get the contrapositive of "most" statements? I am weary because I remember "most" statements are a non-reversible term, and it's only "some" "all" statements that can be reversed.
For instance,
"Most successful entrepreneurs work at least 18 hours a day, and no one who works at least 18 hours a day has time for leisure activities. But all happy entrepreneurs have time for leisure activities."
SE ->(Most) 18 -> ~L -> ~HE
What would the contrapositive of this statement be?
HE -> L -> ~18 ->(MOST!?) ~SE
Cheers.
You're diagramming "no one" incorrectly. No A's are B's. is actually A -> ~B
SE most 18
18 -> ~LE
__________
SE most ~LE
Also, no you can't take the contrapositive of a most statement
Hope this helps!
I'm slightly confused. I did diagram "no one" as A -> ~B
But, indeed! It answers my questions about the ability to take contrapositives. I can't believe I haven't had to determine that prior.
Also thanks! I appreciate the help.
Re: Formal Logic Help
Posted: Fri Jan 14, 2011 7:47 pm
by bhan87
Whoops, I misread your post!