I disagree with this as a refutation of my argument on a few levels.
I can see how holding two contradictory positions poses troubles to logic. However, you are thinking too narrowly of the brain's capabilities. I am not suggesting that you must have to consciously realize both opinions at once.
Plenty of people have had debates in dreams, and plenty of people have believed they were someone (or something) else during dreams. However, while the conscious is imagining this, the brain continues to conduct metabolic and other processes.
You are still relying on the fact that
I can't hold and believe contradictory positions in order to put forward your position. You're not understanding that this is a performative contradiction. You are putting forward a contradiction, not an argument.
If you believed your position you would have no reason to put forward any argument at all.
Again, it is not possible to debate with yourself, as we've already established ad nauseum. Anything that you think
might be the equivalent of debating with yourself is still not debating with yourself. A simulation of a debate you might have with someone else is not the same as a debate. No more than a simulation of a car crash in your head is the same as having a car crash. These are remembered and projected events built by your rational faculty WHICH REQUIRES that you cannot hold two contradictory positions and believe both of them at once to operate.
Your argument is a peformative contradiction when you utter it, and a logical contradiction upon analysis. It is simply wrong.
Secondly, I would be hesitant to say "at the same time". In this world where the thinking individual in question is the only conscious, it would be entirely possible for you to be debating with a version of yourself from another time. Today, we do not have a full scientific conception of time, and what we have is derived from sensory perception, which I have discounted as a valid source of truth.
I do study philosophy and I well aware of what a performative contradiction is.
Whole kettle of performative contradictions in this set of statements.
You use the floating abstraction of 'time' with no reference to what time is. If you
define your terms you will immediately discover that any definition of time that allows for temporal paradox requires infinite regression (contradiction). That is to say: A paradox is a contradiction, thus no definition of time that allows for paradox can be valid.
If this is what you study then you are not studying philosophy. What you are putting forward is no more philosophy than which-doctory is medicine. I mean you can't even establish the veracity of axiomatic primaries, despite being spoon fed the correct epistemological method and reasoning to get there? This is like a "doctor" who can't diagnose a patient's cancer despite having an oncologist run through the method and analysis of diagnosis of the very same patient with him....
Further, your statement that you do not accept sensory evidence as a valid form of evidence is again nonsense and a performative contradiction. You did not learn your arguments by absorbing them from the aether. Everything you are putting forward whether it be rational or irrational, including the medium by which you are putting it forward (english language, keyboard, internet) is all learned behaviour. Learned from where? Well from your senses. If senses are not a valid source of evidence and information then you cannot do anything. You should close your eyes, block your ears and pretend the world doesn't exist, if you truly believe that your senses are invalid.
Edit: Also, it appears the brain may be capable of holding multiple cognitions at once, if you believe psychology...
http://en.wikipedia.org/wiki/Cognitive_dissonance
You can weigh alternatives. You can't hold contradictory statements and believe them at the same time. As I've said over and over, if you could, then your arguments would be just noise: I would just say yes to everything whilst believing the opposite, and even if I said no to everything, you would believe both the yes and no position equally and have no objection. No communication via logic would be possible. A hypothetical person who can hold contradictory positions and believe them both
cannot be reasoned with. That you are reasoning (or attempting to reason) with me, contradicts your own statement.
After three or four posts you are still strung out on your own performative contradictions. Why don't you unpeg yourself from your pet conclusions, and be a real philosopher. You should not be married to your conclusions, only to internally consistent and verifiably accurate epistemological methods. That is what philosophy is.