Logic is basic principles and axioms. ... Accept logic as a binding axioms to have a discussion regarding the abstract concept. The last would be to actually discuss what tool we have and proposing a new set of tools. If one can only criticize the existing set without proposing a new set they must accept there is no basis in support of or for a discussion of the concept.
Like I have said before many like to point of issues with logic then propose the view same logic they take issues with as the "new method".
Yes, logic, whether classical or non-classical, is based on principles and axioms--all of which are assumptions. The fact that there can be multiple logics, with different assumptions, and they sometimes come to similar, and sometimes dissimilar but still useful conclusions, suggests that the axioms we adopt, as well as the information and concepts we consider using those systems of logic are not binding on reality. Logic is a useful tool, but it is not reality--it is still a human concept, created by humans, to help us do certain things. Logic allows us to build what seem to be fairly accurate maps of what seems to be material reality. It also helps us reason among our many, many concepts, none of which are reality but maps of reality.
The "New Method" I am proposing is to stop thinking that logic and our concepts are reality. They are not reality, but both can be useful tools in understanding reality. Can be. When we can find evidence to work with. And historically in the sciences, as well as in law and debate, sometimes the way past a seemingly unsolvable problem is to stop trying to solve it the way we have been and to try something different. I get that you won't accept what I am proposing, because apparently to you, every form of logic collapses down to binary logic and is therefore identical to it, so no need to change the way we use logic
. I'm at least willing to entertain the possibility that looking at things differently might actually be useful.
There is a very fundamental difference in where we begin our discussions: for you, I would say, the assumption is that classical logic is inviolable, even that it is an integral part of reality. I on the other hand doubt that humans can ever know for sure whether or not any assumptions we make are true or not. Pragmatically, we can try things out, find out what works here and now for us, but the assumption of universal--and perhaps beyond--application? It may be a good place to begin, but it's still just another assumption. Our basic assumptions are so different, that even though we agree that there is no reliable evidence or argument on the existence of the Monotheistic God either way, that we cannot agree on a way forward.
So, I'm done. Seriously, thank you for the great discussion. Maybe we'll discuss some other things sometime.