What can I know with 100% certainty? So it sounds like you're still not agreeing with what he just said, which is
Therefore if P-> Q, then Not P -> Not Q must hold. — Corvus
He's confirming it again - that denying the Antecedent is a part of his train of logic.
I want to make this clear, Beverley : I'm not overly concerned that you agree that the cogito is a bad argument. I'm concerned fundamentally with the reasoning used to get there. You said you agreed with Corvus reasoning, and this is a big part of corvus reasoning:
Therefore if P-> Q, then Not P -> Not Q must hold. — Corvus
I want to establish with you, before anything else, if this is a valid step in reasoning in your view. I'd like to be explicit about it, because if we can't get to the bottom of this, we can't get to the bottom of anything. Corvus says it's basic logic, and I agree, it's basic logic. If we can't get to the bottom of basic logic on a philosophy forum, what hope do we have to get to the bottom of anything?
And if you disagree with his logic there, that doesn't mean of course that you have to disagree with his conclusion. You can agree with his conclusion without agreeing with his reasons for getting there. If someone says "2+2 is 4 because I saw 5 guys jump Mickey mouse at Disney land", we can agree with their conclusion while still saying "your reasons for getting there are not good".
So would you mind trying to establish with me if its generally true to say "if P-> Q, then Not P -> Not Q must hold."? I would love to have this basic logic established, as it has so far been a fundamental part of Corvus reasoning to this point.