Conditional question concerning A->B->C

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Conditional question concerning A->B->C

Postby CREATION » Sun Apr 01, 2012 9:53 pm

If the conditional is:


Can that also be seen as:


Are you allowed to flip and negate within a conditional. It seems that those 2 statements are equivocal.

I personally do not believe that it is valid.

I know the contrapositive is to fully reverse and negate, but I just was curious.

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Re: Conditional question concerning A->B->C

Postby MLBrandow » Sun Apr 01, 2012 10:00 pm


You answer your own question with the statements you wrote. Writing a partial contrapositive yields A leading to both B and ~B, as well as C and ~C.

A=study hard
B=high LSAT
C=attend a top law school

Try substituting these in and see what happens.

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Re: Conditional question concerning A->B->C

Postby LexLeon » Tue Apr 03, 2012 12:24 am


From the conditional chain

A -> B -> C

the following list exhausts all possible inferences, I think:

A -> B -> C
A -> B
A -> C
~C -> ~B -> ~A
~C -> ~B
~C -> ~A

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