It is the first one that shocks me. A => B, A, means B
As to the second, you can conclude nothing. Specifically, you have no
information about A.
A => B, B, no extra conclusions can be drawn.
I have run into people that confused A => B with A <=> B. I think is
relatively common, if you teach it to a normal high school class.
From: Jeff Bone [mailto:firstname.lastname@example.org]
Sent: Thursday, May 03, 2001 4:04 PM
To: John Hall
Subject: Re: How do you teach fundamental logic to someone that doesn't
Not sure what you're getting at, John. In the second case, the only
things you can conclude are trivial: B, A OR B, etc... so what's
your point? Is it just that: the only things you can conclude in the
second case are trivial statements from the givens? Why is that hard
to understand? I guess I've never run into a person who can get the
first example, but falls into the trap on the second. I'm sure they
exist, though; nothing about people's reasoning skills or lack
thereof shocks me anymore.
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