<< logic
\Log"ic\, n. [OE. logike, F. logique, L. logica, logice, Gr. logikh` (sc. te`chnh), fr. logiko`s belonging to speaking or reason, fr. lo`gos speech, reason, le`gein to say, speak. See Legend.] 1. The science or art of exact reasoning, or of pure and formal thought, or of the laws according to which the processes of pure thinking should be conducted; the science of the formation and application of general notions; the science of generalization, judgment, classification, reasoning, and systematic arrangement; correct reasoning.
Source: Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. >>
Emphasis added....
It seems to me that Logic isn't just "...a science that deals with the principles and criteria of validity of inference and demonstration", but that it is making mental sence out of what our senses deliver to our brain. The purest logic can become is when the thought process is devoid of emotion, however, what we consider to be logical will always be flawed because regardless of the purity of our thinking, the absense of perfect and infinite knowledge means that there will always be a HUGE margin for error.
The only thing I can really prove is that I exist... whether I'm in a coma or a bear hybernating in a cave or really am in this reality I think I'm in is questionable. I choose to believe that this reality is true because without that I cannot move forward with any purpose. I propose that even the most "logical" thinker has to accept that his logic is based on unprovable suppositions. In that case, any data which is built on questionable data is questionable itself.
Ultimatly, our attempt to think logically is impossible. I would say that more appropriate would be saying that we attempt to order our thoughts as best we can based on our current knowledge.
Joe