Mathematical Analysis of LogicThe Mathematical Analysis of Logic, by George Boole

Mode Shifted Equality

Because Encapsulated Interpretative Models (EIMs) establish fundamental context boundaries form EIM to EIM such that one can not perceive pattern changes one to the other from the perspective of the precipice of simultaneous truth. What we must do is find criteria from the requirements of unification itself to leverage against such considerations. Richard Feynman discusses these issues in this video when he points out investigators must consider which theory looks more natural than the other.

 

Mathematical Analysis of Logic

George Boole‘s 1847 book (linked by the title above) makes the point that “Every system of interpretation which does not affect the truth of the relations supposed, is equally admissible, and it is thus that the same process may, under one scheme of interpretation, represent the solution of a question on the properties of numbers, under another, that of a geometrical problem, and under a third, that of a problem of dynamics or optics.” Not until we recognize the implications of abstractions tendency to insulate and isolate higher ordered ideas from lower ordered detail realtive to and respective of commission of Langer Epistemology Errors (LEEs) in context of unification do these issues become salient. Real Paradigms Of Interest/Nature (POI/N) are made manifest by the unified Universe and reflected in the characterizations made by each distinct EIM.

Neils Bohr abstractions
Neils Bohr on abstractions

Essentially at issue here is the ability to perceive in order to engage those real portions of the unified Universe which exist beyond the threshold of human physiological sensor range. The Emergence Model’s M5 construct of Most Basic Particles (MBPs), for example. They must be philosophically employed as much as considering spacetime a real construct. Fundamentally at issue with these statements are the simultaneous truths of 100% of the experiments proving the latter but not the former, but through mathematical equality we know must be just as valid. The question is how to represent that in the holistic context of Elegant Reasonism.

Contextual Distinctions

Taking then Feynman’s example of Theory A and Theory B being identical, we now have the ability to ask “Which closes to unification as a philosophical predicate priority consideration?” For example, there are constructs within M1 and for which mathematical symbology exists but which under M5 are mode shifted such that their fundamental meaning changes completely. Others are rendered to logical correctness in one, have no physical representation in another EIM. Historically and traditionally we have never had the ability to distinguish these issues before, but now we do. The question though is how to represent that within the body of mathematics, and other than what we have already articulated, this is something we have yet to develop internationally accepted methodologies to represent. Consequently we have fodder for contemplation.

Capturing Logic Artifacts as Sigma Defects

Sigma Defects are captured during Six Sigma quality process analysis. Historically and traditionally there are aspects of a given EIM which are ignored rather than overlooked. In the past we rationalized these points as irrelevant to larger discussions. We leveraged our successes as steam rollers and squashed or thwarted such discussion. The inability to employ a common geometric basis point for all real objects in every reference frame is one example. Ignoring that hard cold fact precludes recognition of the fact that nothing real can transition the spacetime-mass interface. Recognition is essentially obfuscated. Not until we can place such issues in juxtaposed context within a plurality of EIMs do we recognize these issues and it is for that reason which Elegant Reasonism imposes the EIM plurality rule. Again, without over complicating an already abstract laden approach how do we simply represent these issues so that everyone recognizes the discussion reflected by a given set of equations? This area is too new to suggest solutions but we already recognize the need so these issues enter the lexicon and discussions.

 

 

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McGowen

By Charles McGowen

Charles C McGowen is a strategic business consultant. He studied Aerospace Engineering at Auburn University '76-'78. IBM hired him early in '79 where he worked until 2003. He is now Chairman & CEO of SolREI, Inc. ORCID: https://orcid.org/0000-0003-2439-1707