Contrapositive in conditional statements that include "probably" or possibility

stcaitmokyu

Hi, jsut wondering...
If conditional statements include "probably" or prediction, can we make it contrapositive?
Eg...A→B,
prob not A→Prob not B,
Contrapositive: Prob B→Prob A. Is this allowed? Can we call this as illegal reversal of the original A→B?

Thank you

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In short no, you can't do this. But you have to be careful what your elements are.

Say you have the argument you gave:
Probably Not A--->Probably Not B

Probably B--->Probably A is not a contrapositive because it doesn't mean the same thing as the original statement; a contrapositive provides no new information--only a restatement using a different combination of words.

Think of this practical example:
If I probably (or, most likely) didn't attend class, I probably didn't get an A. That isn't the same thing as if I probably got an A, I probably attended class. This this is the case because you're conflating inductive arguments (arguments of probability) and deductive arguments.

To see this further, let's use the same argument:
Probably Not A--->Probably Not B

There is a contrapositive for this:
Not probably not B--->Not Probably not A.

Lsatbreakingnews

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nye8870

I don't know why but this explanation reminds me of the video of that little boy at the carnival but replace probably with apparently. Hi @"Accounts Playable"

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@nye8870

Hey! What's up?