I really wish I knew what misinformed souls are liking your posts here so I can remember not to expect too much of them.
One of the flavors of "reasonable" is a synonym for "common sense" and another is "agreeable", the definition of "reasonable" that refers to reasoning is synonymous with "logical".
You attempt to reduce your original assertion that logic is not reasonable to noting that all arguments are set within a context (the premises) that may be false for reasons of "priority or scale, scope or impact". This is dishonest.
As for your appeal to authority, I have explained before and I will link back to that explanation on request why it is in all cases useless for the purposes of debate. You merely prove it as you are cornered into whining "but he's so great", it's a pathetic bait to turn things towards red herrings of character and expertise.
You didn't understand how Asimov was using the word "reasonable" in that sentence, if he had used it the way you assumed it he could have been wrong; if the words were defined differently you could have been right about the usage of the words, but you would still been profoundly wrong in your epistemological attacks on logic.
There is no other path to truth, and any attempt to demonstrate that there is attempts to stand on logic (whether it finds a foothold or not). That is what an axiom is, an inescapable premise.