Zim Olson's Existential Synopsis 
Systems and/or Sub Systems as Expressed 
A Mathematically Dominant Paradigm 



I believe this "System(s)" paradigm has been utilized throughout "known" history with all recognized knowledge paradigms. While listening to a Great Books tape loaned from the Denver Public Library in a Philosophy group at CHARG Resource Center the tape quoted an early renaissance thinker as saying “All things are equal". As a graduate with a Bachelors of Science and a Bible reader I realized how this is held true in both of these Theological and Scientific paradigms. But both paradigms utilize this truth with their own disciplines in so called different ways. To make a long explanation short, Renaissance and now Scientific thought use these Systems and/or Sub Systems concepts extensively and thoroughly in their pursuit of knowledge, but this usage has been entirely implicitly and/or explicitly in the recognition of these systems concepts and terms. The renaissance movement owed their success to this recognition, but now Science is doomed to another terminal series as expressed per their own utilized explicit without implicit axioms Zim Olson's Systems Math again opens the doors for utilization of all these systems concepts as explicit terms. Renaissance thinking is again viable. 

 Explanation of Systems and Sub Systems Concepts 

Four Behavioral Components for any Existential System / Object: Every object has a functional context, Every(x); a System and no Sub System functionality Any(x) or f(x); A Non stated functionality, Non(x); and a resultant intersecting functionality, Some(x). Historical: These concepts have been used throughout known 

History. These terms have been to a large extent explicit/implicit in our understanding; Theologies, knowledge, knowledge theory, law, businesses and economies. These and other understandings have laid claim to various portions of the system and/or sub system paradigm.

Current Perspective on Systems and Usage: Science utilizes the system or functionality portion of this paradigm. Theologies still utilize this paradigm for a principal system, but do not agree on the existence or content of the behavioral components. 'Earthly' disciplines such as business, government, Information sciences, utilize and recognize the behavioral components but have not come to terms on an existential basis. 

 Systems and/or Sub Systems as Dominant Mathematical Paradigm: Zim Mathematics describes every object as possessing these behavioral components, including operations, numeric, unknown objects, qualitative or physical object and/or object(s). And that every of these object(s) can be expressed as a System and/or Sub System with varying existential results. Physical, qualitative, time attributes, illness and death are simply a partial system expression.

 Origin of System Components and Expression Dynamic: 

 f(1) + - / × => f(0) + - / × => f(1+0) + - / × => f(1,0)= + - / × 

 Giving this tenet on next page for any object expressed as a complete System or completely expressed Sub System. 

 g(1) + - / × = g(0) + - / × = g(1+0) + - / × = g(1,0)= + - / ×

 Unknown operations as complete Systems are said to be also applicable with these numerical values. These expressions are develop able and reducible within an open domain and a principal logic, giving accessible and viable knowledge paradigms. 



Outline of Expression Variations or Operational Expression Variations 

 Every(_)Any(_)Some(_)Non(_) 
Every(X)Any(X)Some(X)Non(X) 
Every(W)Any(X)Some(Y)Non(Z)

 This gives the following available Pseudo Objects and/or Principal Expression Object(s): 

 X, Y, Xx, Yy, Xy, Yx, X0, 0x, X(1+0), X(1,0), XN, X . . . X, A . . . Z, X . . . Y, Xx . . . Xy, X1 . . . X0, X0 . . . Y1, X0 . . . X0, X0 , , , Y0, X(1+0) , , , Y(1+0), X(1,0) . . . Y(1,0), XN . . . Y(1+0), etc ! 


Expression combinations of these Pseudo and/or Principal outlines represent sources to all contemporary (and otherwise) paradigms of knowledge. Expression combinations of principal numeric objects, 1,0,1+0, 1 and/or 0, as systems reveal expression domain sources that explain contemporary physical expression domains such as for Beginnings, Endings, Series, Terminal Series, Infinite Series, Events, Non-Events, True/False, Success/Failure, Luck/Bad Luck, .... Time, Space, Time/Space Relativity, Gravity, better than the physical sciences have described themselves .. Expression of object and /or objects as some form of exhaustive parameterization construct or "A-Z", could give recognizable and identifiable variations of "E=MC2" expressions. 

Pseudo numeric expressions of life object or object(s) or Non-Life object or object(s) may give derivative sources to illness and life system(s) death phenomena. Cures or healing may become readily apparent as the terms or basis for this non-health phenomena are revealed.

These expressions of course also give our sources to system(s) Logic and corresponding functionalities . 

Every(X)Any(X)Some(X)Non(X)Every(W)Any(X)Some(Y)NonZ)(__) = (__, __, ... __) Every(X)Any(X)Some(X)Non(X)Every(W)Any(X)Some(Y)NonZ)(__) = (__, __) 
 Every(X)Any(X)Some(X)Non(X) Every(W)Any(X)Some(Y)NonZ)(__) = (__) 

 Every(X)Any(X)Some(X)Non(X) Every(W)Any(X)Some(Y)NonZ)(__, __, ... __) = (__) 
Every(X)Any(X)Some(X)Non(X) Every(W)Any(X)Some(Y)NonZ)(__, __) = (__) 
Every(X)Any(X)Some(X)Non(X) Every(W)Any(X)Some(Y)NonZ)(__) = (__) 

 
System(s) Time Expression 

 Every(__)Any(+)Some(__)Non(__)

 Numeric Partial Time System Expression

 Every(W)Any(X)Some(Y)Non(Z) 

 Earth-Mankind System giving unique expression outcome for any time expression 


 
Contemporary Numeric Expression

 Every(1)Any(N)Some(1)Non(1) 

 or 

 Every(1)Any(N)Some(1,0)Non(1)



Zim Math to English possible notation
  • Capitalization denotes principal numeric object
  • No capitalization only denotes pseudo object
  • Capitalization  and (s) notation denotes Principal and Pseudo object(s)
  • Only (s) notation denotes sub system(s) or pseudo object(s)
  • Capitalization and singular object denotes Principal Pseudo object
  • No Capitalization and (s) or singular object denotes open domain expression
      . . . or some such notation

Box Math/Art  Knowledge in a Box, .... within Open Domain, ...... or as principally expressed.or  ?  or  (?)


Math and Truth or "True" Expressions

Does Mathematics consist of either? What are the implications to other implied / explicit expressions of principal and/or pseudo and/or open domain "true" expressions or  truth or Truth. And the famous Biblical Question "What is Truth?"
"True" or "true" expressions may consist of pseudo derivatives and their pseudo domain(s). Truth may not be an expression at all.
Truth  - A(1,0)Every(X)Any(X)Some(X)Non(X)

or




Truth

___, ___

___, ___, . . . ___.

_______________________

X



"True" or "true" Expression - A(X)Every(W)Any(X)Some(Y)Non(Z)



 In Conclusion 
Zim Olson's Existential Synopsis 


I imagine there will ALWAYS be more explaining to do for a System(s) and/or Sub System(s) as Expressed Paradigm. And in case not noted by reader, this is considered within "open domain(s)". Otherwise I consider this paradigm is fairly well set in "Stone" or at least Zim Mathematics "html". "Open Domain Development" is a future topic of interest for Zim Olson & Zim Mathematics. The recognized domain of Human Intelligence, Expressions of Expressions .... of Expressions, has made Earthly Mathematics of this domain seem untenable. However we do have available recognized Express-ability options such as Expressions of Expressions ....of Expression of Pseudo and/or Principal and/or open Domain(s). Below is one such expression outline in my interest of Mathematical Open Domain development and possible Principal Expression(s) of such outlines.

Every(1) Every(X)Any(X)Some(X)Non(X)
Every(0) Every(X)Any(X)Some(X)Non(X)
Every(1+0) Every(X)Any(X)Some
(X)Non(X)
Every(1,0) Every(X)Any(X)Some(X)Non(X)

Or

Every(1) Every(W)Any(W)Some(W)Non(W)
Every(0) Every(X)Any(X)Some(X)Non(X)
Every(1+0) Every(Y)Any(Y)Some
(Y)Non(Y)
Every(1,0) Every(Z)Any(Z)Some(Z)Non(Z)

As expressed with available mentioned alternative Math Constructs in this web sites 




 Zim Olson & Zim Mathematics
 Creative Math and Art.
 New Math Foundations and Logic 
Copyright 2014 
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