Hi Paul,
I enjoy talking to you too. However, we do have some differences. The first seems to be the idea that "the only thing we know for sure, is that we know nothing for sure". Against this you make the comment, "We can know some things for sure, but we can't explain them." Actually, I don't think we are that far apart. Please note that the opening of my paper, http://home.jam.rr.com/dicksfiles/Explain/Explain.htm , I define
C as, "What is known about
A: i.e., our given known information." So I also begin with the assumption that something is "known" although, if you follow the deduction, you will discover that the results deduced are still valid even when
C vanishes. But that is really immaterial here; I think the real issue is the definition of "knowing".
Moving finger has defined knowledge as “justified true belief” and I think I can live with that definition; however, even using that definition, there exist some issues which I don't think anyone here has approached. There are several things which can be done with a "justified true belief". First, one can attach a name to a "justified true belief". Does that imply it is not a "justified true belief" before the name was attached? Secondly, a "justified true belief" can be interpreted. Does that imply it is not a "justified true belief" before it has been interpreted? Or one could say, a "justified true belief" can be understood. Does that imply it is not a "justified true belief" before it has been understood? Moving finger, perhaps you can understand where I am going with this since a lot of your comments seem to show an interest in exact meaning. From my perspective, the only "justified true beliefs" consist of the fundamental data which needs to be explained. Without an explanation, the information, data or knowledge is completely meaningless! That is exactly why I treat it as an unknown and deal with it via the simple reference
C. As soon as you presume you know something about it, you are lying to yourself.
Paul, you say you "start with knowing without being able to explain". Don't you think that the first step here is to decide what an explanation is going to be?
Paul Martin said:
If you agree with me so far, then it seems clear that "we" must know or believe something "we" can't necessarily explain in order to have mathematics at all.
Yes, I agree with you one hundred percent; but you are mixing up a central issue here. All of us operate daily on millions upon millions of presumed facts that are, in fact, the tools of our thoughts. Out of these facts we build mental structures intended to explain our experiences. In particular, I have done so: i.e., "established a mental structure which explains our experiences". English (or any other human language) is a rather vague and sloppy structure when it comes to exact expression of ideas as there never has been any great effort to remove the interpretive inconsistencies from common language expressions. Mathematics, on the other hand, is a language developed by those who are intently interested in removing possibility of misinterpretation.
Saviormachine and I had somewhat of an extended discussion of why it is advantageous for human languages to be vague and imprecise. Some of you might find
my opening post to saviormachine worth reading. It certainly bears on the value of expressing ideas in mathematics. Paul, what I am getting at here is the fact that you should criticize my approach for its dependence on mathematics is rather unjustified in view of the almost totally vague and imprecise representation of concepts in English. As I said, I am using it to communicate concepts and relationships from the perspective that I can depend upon misunderstanding (by a decent mathematician) to be almost nonexistent.
Paul Martin said:
For conscious awareness appearing in humans I would agree. But for that consciousness which is necessary in order to have the mathematics necessary for your starting point, it does not logically follow.
Ah, but it does.
A can be absolutely anything as no constraints whatsoever were placed on
A, the elements of which provide the information which is known: i.e.,
C.
Paul Martin said:
But what you have glossed over are the foundations of mathematics. I think Foundations play heavily in what we are discussing.
And you think the foundations of English are better understood than the foundations of mathematics? Besides, I am using it as a means of communication of relationships. I start with a single concept: the concept of an explanation. From there I show in detail how to deduce a universal constraint on any explanation. You keep calling it a proof; if that is the position you wish to take then you must understand that it is a proof that my fundamental equation is contained in the definition of an explanation. I agree with Feynman that mathematics is the distilled essence of logic and, if you want to throw out logic as a basis for these discussions, then we really have nothing to discuss.
Paul Martin said:
Conscious experience has not been explained by known physics and quite possibly could exist outside of physical reality. (Of course you know that I think it does.)
So what? If it can be explained, that explanation can be interpreted in such a way that the fundamental elements of the explanation obey my equation. Since I have already shown that these fundamental elements obey the rules of "physical reality", it follows that the fundamental elements of your explanation obey the rules of "physical reality". "Quod erat demonstrandum!"
Paul Martin said:
But if the Buddhists are right, and there is no self in that body, then my view of reality makes more sense and is more complete. Just my humble opinions.
The Buddhists seem incapable of explaining much; rather they seem to throw doubt on explanation itself. So I would not hold my breath waiting for the Buddhists to acquire dominance in the academies of rational thought. I note further that moving finger appears to ask for an explanation as the primary element of any proposition.
moving finger said:
With respect, I think you should not be surprised that few people take your ideas seriously, unless and until such time as you can work out a rational, coherent and “explanatorily adequate” model based on these ideas. It seems that you’re a long way from this.
With regard to awareness and consciousness, there was an http://www.newscientist.com/article.ns?id=dn7567 published in "Science News" which talked about a rather strange phenomena observed in brain activity. What they discovered was that a picture of some recognized actress apparently caused a single cell in the brain to activate. The picture did not need be the same picture at all but the results rather seemed to indicate that it was the recognition of a particular person which was causing the activity. Perhaps there is a single cell up there which becomes active whenever you are conscious to let you know that whatever you are doing is a conscious activity. Could it be that simple?
Have fun – Dick