Doctordick Posted July 26, 2017 Share Posted July 26, 2017 (edited) The critical issue everyone seems to miss is that the meaning of the phrase "without making presumptions". Apparently it is something no one on this forum seems to comprehend. I am opening this thread because it seems that responses to my earlier post, "Understanding Reality", have totally degenerated to into silly meaningless garbage without any sign of thought at all. If no one here is capable of comprehending what I am saying I will stop posting my thoughts. Please consider the following facts very carefully! Coming up with an explanation of anything requires comprehension of a language first. If there are readers who believe that is not a fact, I would have them please present an explanation without use of a language of any kind. My second fact is that any and all languages require symbols (think in terms of concept representations) to represent any specific collection of relevant concepts! If the reader believes this is false, please provide an explanation which requires no means of referring to any concepts relevant to that explanation. My third fact is, those symbols (if they are known) can be referred to by assigning specific numbers to each and every relevant symbol! The subtle issue of that fact is that, even when the actual assigned numbers are not known, it is still a fact that the concepts can nonetheless be represented by a "specific" collection of numbers and that issue by itself has significant consequences. Anyone who believes that is a false assertion please post a collection of symbols which can be used to represent a language which can not be numerically listed. The following constitute my opening assertions. First, presuming that "the language is known" is itself a direct violation of the constraint "without making assumptions"!! That is, learning the language must first be achieved before even thought of an explanation is possible. Comprehending the relevant language is part and parcel of understanding itself. What I wish to discuss are the underlying facts the solution to any collection of information MUST obey. My opening assertion is that there exist relationships within those facts which can be deduced without making any assumptions as to what those facts actually are. An additional assertion concerns a numerical representation of thoughts, "without making any presumptions" as to the meanings of that specific collection of numbers. Once a specific label is assigned to each and every learned concept (essentially the relevant language elements) that label can be seen as a unique numerical reference (think of an unknown secret code). It follows that, given the specific numerical label for every relevant concept representation in that language, any thought which can be expressed in that language may be expressed by: [latex] (x_1,x_2 , \cdots ,x_i, \cdots ,x_n) [/latex] ) Note that this representation inherently includes what is commonly referred to "context". That is the fact that what those words actually mean can change from case to case depending on the associated meanings of other words in the thought being represented. (Jokes are built from such relationships!) My point is that such a representation, which makes utterly no assumptions as to what concepts those numbers refer to, must be presumed possible. The possibility of such a representation requires no actual knowledge of either the source of the information (what is quite often referred to as reality) or the actual language being represented! That fact itself has consequences. What follows is no more than pure logical analysis of the above proposed circumstance. The absolute first step in creating the circumstance I wish to analyze is to create a definition of the concept "understanding" without constraining what is to be understood in any way. I begin by defining two entities. The first entity I will refer to as "the receiver". The receiver is the entity receiving the relevant information from which he (or she) will attempt to learn (or deduce) both the language being represented and the thoughts necessary to explain the reality he (or she) will eventually perceive as standing behind those thoughts. It must be understood that the receiver stands in absolute ignorance except for the actual collection of thoughts, [latex](x_1 ,x_2 , \cdots ,x_i , \cdots ,x_n ) [/latex], he (or she) has presumed to be valid. The second entity is the source of the relevant issues. Absolutely no information is available about the source except characteristics presumed by the receiver as part of his (or her) deduced explanations of that received information. That is, the presumed truth, of the thoughts as the receiver perceives them to be. (The presumptions he (or she) makes.) Deducing fundamental consequences of the above constraints. I first define "understanding" to be the probability the receiver presumes the source holds a specific represented thought to be true. Note that this assertion is only meaningful within the representation the receiver creates; i.e., it is a consequence of the presumptions the receiver makes. In my analysis (since we are to make no assumptions) no judgements as to the actual truth of the solution the receiver creates can be made. None the less, in the analysis being presented, understanding can represented by the notation: [latex]P(x_1 ,x_2 , \cdots ,x_i , \cdots ,x_n ) [/latex] where "P" stands for the probability the receiver considers the source holds the thought to be true. In essence, that thought is presumed to be a true fact. It should be clear that learning the language represented by the indices xi is the very first part of the problem facing the receiver. The receiver must make presumptions as to what the thoughts being represented are. Internal consistency is the only underlying issue of any understanding achieved. That is, knowledge of the relevant information is represented by the supposed truth of the specific thoughts expressed by [latex]P(x_1 ,x_2 , \cdots ,x_i , \cdots ,x_n ). [/latex] What is important about my definition of understanding is the fact that adding a single specific arbitrary number (which I will represent by "c") to each and every index used to represent the underlying language makes utterly no change in the meaning of any specified thought. That meaning is deduced from patterns in the received information, not the actual numbers. Adding "c" to each and every index yields internal patterns of the numerically indexed concepts exactly as they were in the original assignments. Thus it must be absolutely true that, no matter what the value of c is, [latex]P(x_1 +c,x_2 +c, \cdots ,x_i +c, \cdots ,x_n +c) - P(x_1 ,x_2 , \cdots ,x_i , \cdots ,x_n ) = 0 [/latex] Now anyone who has any knowledge of mathematics will recognize the fact that if [latex]P(x_1 ,x_2 , \cdots ,x_i , \cdots ,x_n ) [/latex] were a mathematical function, the above assertion would, via standard interpretation, have some very significant consequences. However, it should also be clear that [latex]P(x_1 ,x_2 , \cdots ,x_i , \cdots ,x_n ), [/latex] as defined in this post, could not possibly be a mathematical function for a number of very important reasons. #1 - To begin with, the relevant numbers are not variables; they are constants representing specific concepts in the relevant language. #2 - A second problem arises because, in a mathematical expression, "n" would be a fixed number which would be exactly the same in each and every represented thought. In addition, there are a number of other very serious problems which arise if one attempts to create a representation which can be seen as a mathematical function. However, I will show how a very straight forward conversion in the representation can be made by redefining those indices in a manner which totally avoids making any presumptions whatsoever as to what those indices represent. If there is anyone interested in conversion of the expression [latex]P(x_1 ,x_2 , \cdots ,x_i , \cdots ,x_n ) [/latex] into a valid mathematical expression I will continue this thread. Note that the proposed conversion, though quite simple, is not a trivial process at all. If the above is totally beyond your comprehension, don't bother commenting. However, if you can comprehend the problem I have presented, let me know and I will present the details of the required alternate definitions of my indices. The end result turns out to require exactly the relations standing behind modern physics: i.e., no information whatsoever about actual reality is required to show modern physics is (for the most part) essentially valid. It also points out a few minor errors in modern physics not realized by the professionals. Those errors clearly arise from invalid presumptions in their hypotheses. In the deductions I produce, quantum mechanics is essentially valid from the word go. Relativity as per Einstein's mathematical relationships falls out implicitly; however, physical interpretation of the results turns out to be quite different. The difference in in interpretation turns out to revolve around some specific solutions to the electromagnetic theory (which also falls out implicitly in my presentation). The specific solutions of interest are rather surprising. As far as I know, those specific solutions have never been examined by the scientific community. Thank you for your trouble -- Richard D. Stafford, Ph.D. in Theoretical Physics 1971. Sorry about my inability to get LaTeX to work!!! Edited July 26, 2017 by Doctordick latex errors -1 Link to comment Share on other sites More sharing options...
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