WHAT DOES THE NAME OF THE ALMIGHTY GOD ("JHWH") MEAN

IN EPISTEMOLOGY AND PROPOSITIONAL CALCULUS?

 

German translation, see          

 

 see Patent  "Method to Generate Self-Organizing Processes in Autonomous
 Mechanisms and Organisms
" (last chapter)   US6172941   EP1146406A1

 

Consequences for metamathematics, propositional calculus, epistemology and philosophy are:

1)  Because there are no deterministic point of times, the status of a system can neither be ascertained to
     be at a certain "point in time", nor "points in time" can be determined for a future status. There is
     nowhere any type of determinism. Since the classical physics as well as the quantum theory are based
     on the postulate that a system is in a certain status at a certain "point in time" (in the first case as points
     of phase space, and in the other case as probability distributions in phase space), neither theory can be
     completely consistent (see also THOMAS BREUER / 1997).[1]
     
2)  Regarding WIGNER (1961) [2], an absolutely universally valid theory would have to be capable of 
     describing the origin of human consciousness. The auto-adaptation theory described herein could be
     capable of this; the quantum theory cannot. (Wigner postulated that complex quantum mechanics
     delivers a usable description of the physical reality only when there is no "subjective sensing". The author
     holds the view that subjective sensing also exists in atomic and subatomic structures.)

3)  Sequences of elapse times like TW and TW' are definable as strings of an axiomatic formal system;
     albeit this system is a "time domain system" and not an arithmetic systems in the usual sense of the
     classic number theory. Indeed, said formal system shows at least one axiom and derives from it
     continuous strings of numbers through the application of a certain algorithm. Regarding TURING, an
     axiomatic number theoretical system can be produced also  by a mechanical procedure, which produces
     "formulas and algorithms".For this reason, the known logic theorems of GOEDEL, TARSKI or HENKIN
     are absolutely applicable on such a model. GOEDEL's [3]  incompleteness theorem shows that each
     extensive number theoretical model includes consistent formulations which cannot be proven with
     the rules of the model, and which therefore are undecidable. This is valid also to metatheoretical models
     and to meta-metatheoretical models etc.
     For example, a self-referential metatheoretical sentence like the type of the Goedel formulation <~I am
     provable> is neither provable nor disprovable. A decision procedure for this proposition leads to an
     infinite regress. TARSKI showed that a decision procedure for number theoretical "truth" [4]  is also
     impossible, and leads to an infinite regress. Thus, a self-referential sentence of the type <~I am provable>
     is admittedly "true", but not "provable". It follows, that "provability" is a weaker notion than "truth"
.    HENKIN showed that there are sentences, that assert their own provability and  "producibility" in a
     specific number theoretical model and which are invariable "true" [5]. A self-referential sentence based on
     Henkins theorem would be: <It exists a number theoretical model in which I am provable>. Strings 
     of quantized elapse times like TW and TW' approach the domain of validity of HENKIN's theorem.
     Applying Henkin's logic, these strings assert: <I will be produced to proved>. TW and TW's are
     therefore strings or sentences that are produced in a specific formal model, which induces its own
     decision procedure on truth, consistence, completeness and provability through continued self-generation
     (see also description to Fig.10).
     In contrast to self-referential strings or sentences of the Gödel or Henkin type, strings of elapse times
     are never asserted to be "true", "consistent", "complete" or "provable" to a certain "point in time",
     because within the "number theoretical model" in which they are produced, no "points of time" exist.
     This model also prohibits superior semantics or metatheories or metametatheories. It is plainly obvious
     that each formal system, each metatheory, each meta-metatheory and each semantics, in which axioms,    
     strings or sentences of any type are formulated, is the result of continued autonomous adaptation (which
     is based on the quantization of elapse times) and therefore a derivation of the model described in this
     work.
4)  The cognition, that a specific formal system exists asserting absolute universal validity, from which
     everything has been produced and to whom all other systems have to be subordinated, is not new.
     Already in early antiquity, many years before PLATO and ARISTOTLE, the Hebrew Scriptures
     (2. Moses 3: 14) let this <source of all logic> say from itself: "JHWH" (spoken: Jahwe or Jehovah), that
     is about: "I shall be proved". This sentence asserts its own decision procedure on provability, truth,
     completeness  and consistence; through a specific formal system, that it "induces to be".
     
 5) There is no "cognition" without "recognition".

References


[1]  Thomas BREUER (1997) "Quantenmechanik: Ein Fall für Goedel"   ISBN 3-8274-0191-7

[2]  Eugene WIGNER (1961) "Remarks on the Mind-Body-Question", see also: Roger Penrose: 
            "The Emperor`s New Mind"/ ISBN 0-19-286198-0 (page 381) 
[3]  Kurt Goedel "On Formally Undecidable Propositions in Principia Mathematica and Related
           Systems I. (1931), see also: Douglas HOFSTADTER  "Goedel, Escher, Bach: An Eternal
           Golden Braid" (page 17) ISBN 0-14-01-7997-6 
[4]  Douglas HOFSTADTER  "Goedel, Escher, Bach" (pages 579, 580: "Tarski`s Theorem") 
[5]  Douglas HOFSTADTER  "Goedel,  Escher, Bach" (page 541: "Henkins Sentences") 
 

                                          

If you have any questions to this web-site, please contact:  info@sensortime.com