Paul, you and I have been talking (off and on) for a long time now. Somehow I have never been able to reach you on the definition of the problem you want to solve. My position is very simple; you are trying very hard to establish a reasonable basis for examination of reality (what is true and what is false). The mistake you are making is that you are assuming your mental image of reality is correct. Essentially you are starting with questions which should be far down the line. Don't feel bad, as you are certainly not alone in your approach; it is fundamentally the standard approach and has been for thousands of years. The problem is that there are much more serious questions which must be answered first.
Paul Martin said:
It is clear that the word 'knowledge' is used ambiguously. Following the paradigm of mathematics, it would seem to be useful if we would agree on a specific, unambiguous, definition of any word we use in a discussion. That way we might avoid the "fights" that otherwise seem inevitable.
A very valid idea except for one fact. You are working with the assumption that the words you are using to define "knowledge" are unambiguously defined.
Paul Martin said:
If we are to carefully define terms, then we have the dilemma of whether to use familiar words such as 'knowledge', 'belief', 'justification', 'memory', 'truth', etc. or to coin new terms such as 'T1', 'T2', etc. in order to avoid preconceived notions associated with the symbols. Both of these approaches have problems.
The real problem is that you have not really even approached the problem of settling the issue of those "preconceived notions". That is to say, the "preconceived notions" are not the real problem, the real problem is the vagueness of the language itself. What you need to do is follow the paradigm of mathematics exactly: i.e., define your terms with the same precision and agreement required in mathematics.
Paul Martin said:
Regardless of which symbols, or terms, we wish to use, I think it is important to differentiate among the various concepts we want to talk about, and then assign terms to them before we go too much further.
If you want to get serious about this approach, you have to accommodate all possible misunderstandings so that you can correct these misunderstandings with mathematical precision. The first step is to realize that the actual label is immaterial; instead of assigning labels such as 'knowledge', 'belief', 'justification', 'memory', 'truth', 'T1', 'T2', start with pure numerical labels and look at the problems inherent in uncovering the intended meaning.
Paul Martin said:
The second is less immediate. It involves the assignment or identification of the concept of greenness, which involves many recollections of that immediate experience of the awareness of greenness, with the concept of grass, which involves many recollections of experiences with grass.
The method you choose to use to express this problem makes an assumption that a whole slue of labels are already well understood. If you were to express this idea with numerical labels, the extent of the problem becomes much more evident. Suppose we use The=256, second=9976, is=1234, less=334672 ... . When we do that and examine the problem confronting you expressed only in those numerical labels, the true extent of the problem you are trying to solve tends to become more evident.
Paul Martin said:
In a similar way, we can differentiate among the many notions suggested by the list of words, 'knowledge', 'belief', 'justification', 'memory', 'truth', etc.
At a minimum, as a starting point, I think we should agree on a specific term for each of the following notions (I'll assign my preferred term to each simply to make my list readable. There is no implied truth or magic in my choices. The important idea here is the list of concepts. I will have no problem accepting another set of words for them as long as we all agree on them.):
1. Consciousness - Taken as a primitive notion without definition.
2. Experience - Taken as a primitive notion without definition.
3. Qualia - Anything experienced by consciousness.
4. Mind - Anything capable of conscious experience.
5. Knowledge - The conscious experience of a specific single moment.
6. Recollection - Knowledge of past knowledge. (The conscious experience of having had specific conscious experiences at some earlier moments.)
7. Feeling - The knowledge of some abstraction of (or from) recollections.
8. Hunch - The feeling that some specific experience may happen in the future.
9. Expectation - A conscious feeling about the likelihood, expressed in a number ranging from 0 to 1, that the experience imagined in a hunch will actually happen.
10. Belief - A hunch with an expectation greater than 0.5.
11. Assertion - A statement (set of symbols of some sort) which is believed will induce, in the mind of a reader, a specific feeling or set of feelings.
12. Information - Symbolically encoded assertions.
13. Confidence - A belief with an expectation of, say, greater than 0.99.
14. Justification - An assertion made with confidence.
. . . .
By the manner in which you make your presentation, you appear to be setting forth fourteen ideas, but that is simply not the case. You are in fact setting forth seventy-five different variables with only fourteen internal relationships (actually, the number is well in excess of seventy-five as there are a lot of other assumptions in the representation). This is not even close to being a defining set. In other words, you have already violated the standards you put forth (mathematical precision). You should be able to see that fact if you were to use numerical labels instead of depending on the assumption that you and your reader understand those seventy five concepts in exactly the same way.
Replace these symbols (0, 0.5, 0.99, 1, a, about, abstraction, actually, an, anything, as, assertion, assertions, belief, believed, capable, confidence, consciousness, definition, earlier, encoded, expectation, experience, experienced, expressed, feeling, from, future, greater, had, happen, having, hunch, imagined, in, induce, information, is, justification, knowledge, likelihood, made, may, mind, moment, moments, notion, number, of, or, past, primitive, qualia, ranging, reader, recollection, recollections, say, set, single, some, sort, specific, statement, symbolically, symbols, than, that, taken, the, to, which, will, with, and without) with numerical labels and you might begin to understand the extent of the assumptions you are making in your attack.
As far as I am concerned, you are working in the total absence of a foundation of any kind. You are simply assuming that the apparent meanings you have subconsciously assigned to these words amount to universal agreement. If you understood my work, you would comprehend just how far from reality that assumption really is.
I am only trying to present an objective method of establishing a foundation from which further concepts can be established.
Have fun -- Dick