Statesboro, GA, USA
Logic is only logical because we think it is... it constantly creates paradoxes and is therefore, not logical...
"Logic is only logical because we think it is", is itself based upon logical syllogism.
Reductio ad absurdum:
If logic is only logical because we "think it is", then illogic would also be logical whenever we think it is. But no matter if someone thinks they can walk out of their house through the front door, and yet at the same time remain in their house, they never can pull it off.
But of course that's just a variant of the syllogism.
That's my point. Logic is the ONLY tool you have available wherewith to debunk logic. If it's illogical, you've accused yourself of invalid thought. If you want to qualify yourself by saying that thought doesn't have to be logical to be valid, then you've opened (or closed) the door to everything else. In which case you haven't much to say.
I'm doubtful of how many logicians would agree with what Bertie said in that quote. But consider this:
When one of his audience said, 'Convince me that logic is useful,' he said,
'Would you have me demonstrate it?'
'Well, then, must I not use a demonstrative argument'?
And, when the other agreed, he said, 'How then shall you know if I impose upon you?' And when the man had no answer, he said 'You see how you yourself admit that logic is necessary, if without it you are not even able to learn this much- whether it is necessary or not.'
(Discourses of Epictetus)
But I think you may have missed my point. I wasn't trying to deny that logic has it's limitations. Rather, I was trying to show that when a pre-Greek person understood that he couldn't hunt and sleep at the same time, even though he wanted to do both, he was at that moment participating in informal logic. It was certainly not invented, only later defined and named in various ways. And it is certainly irreducible and necessary, since you yourself probably can't count how many times you use it (consciously or not) in a day. That's very different from something that is like emotion, sentimental and sometimes not based in reality.