saviourmachine said:
If this thread got closed I hope we can get space - open a new thread - to continue this discussion.
Yeah, I think we can pull that off. For the time being I have stayed here because the number of views continues to rise; which means people are still reading it. In spite of the people who don't want to think about what I am saying, it seems some are still interested. I suspect a lot of people here suffer from attention deficit syndrome.

Again, I am usually slow to respond to your posts because I want to be careful.
saviourmachine said:
I was merely stating that there are at least two different ways to think (as a physician); I called one 'hypothetical' and I called one 'theoretical'. My connotation with these terms is as follows: a 'hypothesis' has to do with testing - as if it is possible to know reality*; and a 'theory' with embedding in a knowledge system**.
Communication is not nearly as easy as is generally presumed. When I spoke of "two modes of thinking", I was thinking of the difference between
logical analysis and intuitive perception. Both modes provide serious answers to complex problems and history is full of people contending that one or the other is the "correct" attack. In fact, the history of human belief systems can almost be seen as a pendulum swinging from support for one to support for the other. My position is that objective rational thought must encompass both at once.
saviourmachine said:
I'll quote you.

Understanding has to do with seeing (the different) possibilities, isn't it?
Not quite. Later on in my post, I define what I mean by "understanding". If you "understand" something, it means that you have a mental mechanism which will provide you with answers to questions outside the actual data available to you.
To put it another way, knowing is having facts available to you (the facts come from the past, not the future) and understanding allows discrimination between good and bad answers (facts you might expect to become available to you in the future). Now the human race has become quite good at this discrimination since all we living things first crawled out of the sea. We are the undoubted leaders in the realm of "understanding" the world around us. And yet no one has come up with a good argument to dismiss the Solipsist position. The fact that we have come so far without being able to prove what is and what is not real should make it clear to you that
understanding reality can not possibly require knowing what is real.

This is why every serious scientist (I except myself of course[/color]) has vociferously argued against any rational consideration of the question. Their position is: if we don't know what's real, how can we possibly dream of understanding reality. They hold that we
must assume we know what's real. You can see that position promulgated all over this forum! Why do you think they label me a crackpot?
Other than that, I get the distinct feeling that you understand what I have said so far. :!)
When I started this line of discourse, I stated that language, though it is our only mechanism of communication, is inherently vague. Langauge can be seen as a collection of symbols to which we have attached meaning. As such, the problem of understanding a language contains exactly the same difficulty brought up above. There exists no way one can be absolutely sure they understand exactly what another person means when they use a particular word. If you are rational, you have to admit that the meanings you attach to these symbols may not be the meanings intended by the writer/speaker you are trying to understand (it is always possible they are using a code unknown to you). So the problem of understanding an explanation is completely equivalent to that of understanding the universe.
If you are trying to understand a person, you have the option of (interacting with them) asking about the things they have said which don't make sense to you. If you are trying to understand the universe, you have the option of interacting with it in a way which will provide clarification of things you don't understand (those things which don't make sense to you). If the two procedures are equivalent, let us examine how one might logically attack the first while maintaining complete openness to all the possibilities. (Please follow this carefully as the effect is considerably outside the physicalist outlook.)
We are trying to
"understand" something thus we are looking for
"an explanation", a method of obtaining expectations from given known information. The first thing we need is a totally general way to represent anybody of information. Let
"A" be what is to be explained and proceed with the primitive definition that
A is a set! I want to leave the exact nature of
A totally open and, from my knowledge of sets,
A can pretty well represent anything. If anyone here can point out something which cannot be represented by the abstract concept of a set, please do so.
Now, the most serious problem confronting us is the fact that we do not know everything: i.e.,
A as defined is definitely not available to us. We must always presume there are aspects of
A not yet available. We need another symbol for that portion of
A which is available to us. Since what is available can change, we need a way of representing a change in that portion. For this reason, I begin construction of the portion of
A available to us by defining the set
B to be a finite unordered collection of elements taken from
A. (This
B will represent a change in our knowledge of
A.) This allows me to define the set
C to be a finite collection of sets
B. It follows that any possible collection of information which can be used to construct our explanation can be represented by the set
C: that is, the current state of our knowledge can be seen as a finite collections of changes since knowledge began to be acquired (whenever that was). It is the very definition of infinity which guarantees that the number of elements in both
B and
C are finite. Likewise, the same definition requires that we must consider the number of elements in
A to be infinite. (I will explain that to anyone who does not understand.)
Since the number of sets
B in
C is finite, they may be counted and ordered and I may refer to the elements of
C via the notation
Bj. Since
B was defined to be a finite collection of elements of
A, I can refer to the elements of
B as x
i. It should be clear that, looked at as a communication,
Bj, representing a change in our knowledge, can be seen as fundamentally representing a "message", where x
i represents a label for a specific significant element of
A and
C represents the sum total of messages our understanding of the communication is to be based upon. (It is best here to look at the messages as being in a secret code as to do otherwise is to presume you already understand the meanings of the elements x
i while, in fact, all that information must be a part of
C.)
Thus it is that we can view the changes in information available to us,
Bj, as a list of reference labels (x
i). Likewise, all the messages available to us can be seen as the complete collection of all the lists we have received. If we are to understand and explain
A based on nothing but
C, we need to develop a procedure through which we may determine the acceptability of any specific set
Bk which can be obtained from
A. That procedure must be consistent with the distribution of
Bj in
C; as an absolute minimum, any explanation of
A must be consistent with what is already known: i.e.,
C.
It is important to maintain a very important aspect of the problem not expressly stated in the previous paragraph. One must remember the fact that
B was defined to be an unordered set of elements taken from
A (if order between any two x's, is important they should be in different
Bj's): i.e., clearly, if one occurs before the other, a change in information occurs between the two elements.)
A second important fact to take note of is the fact that our explanation explains
C, not
A. It is a presumption that an explanation of
C (what we know of
A) explains
A. Since that is absolutely the best we can do, the assumption is not really unreasonable so long as we remember the fact of our assumption.
In effect, I have laid out a universal representation of the problem confronting us. It is quite abstract, but anyone who has any facility with mathematics at all should be able to comprehend the representation. If you find any difficulties, let me know and I will do my best to clarify the circumstance. If I think you are with me, I will lay out an exact analytical solution to the problem; that is, I will lay out a universal procedure for designing a constraint which will constrain the sets
Bj to exactly the collection in
C. Note that, as the number of elements in the sets
Bj and
C are finite, the procedure I will describe will be an exact finite procedure; however, if you actually attempt to implement it in something other than an extremely trivial case, you will find it complex beyond reasonable calculation. It turns out not to be the end of the problem (as it actually results in an infinite set of possibilities) but it does provide an insight which will yield a fundamental universal relationship which is quite valuable.
Let me know if anything I have said bothers you. And, anyone else is invited to make any comments that occur to them.
Have fun -- Dick