Explanation of Systems and Sub Systems Concepts
(Also See Applications Section)
- Four Behavioral Components for any existential
system/object: Every object has a functional context,
Every(x); a System and no Sub System Functionality f(x); A Non
Stated Functionality, Non(x); and a resultant intersecting functionality,
Some(x). All this here is said to be self evident and Axiomatic,
based on all experience of object behavior.
- Historical: These concepts have been used throughout known History. But these terms have been to a large extent implicit in our understanding. Theologies, Knowledge and 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 Functionality portion of this paradigm. Theologies still utilize this paradigm to a large extent 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 their existential basis.
- Systems and/or Sub Systems as Dominant Mathematical Paradigm: Zim Mathematics/Zim Olson describe every object as possessing these behavioral components, including operations, numeric, unknown objects and qualitative object/systems. And that every of these objects can be expressed as a System and/or Sub System with varying existential results. Physical, qualitative, time attributes or illness and death are simply a partial system expression.
- Origin of System Components and expression dynamic: f(1)= + - / × (See Below).
An Origin of System Transformation & System Behavioral Components
f(1)= + - / × = > f(0)= + - / × = > f(1+0)= + - / × = > f(1,0)= + - / ×.
or in other terms
f(1)= + - / × = > f(0)= + - / × = > f(1 and 0)= + - / × = > f(1 and/or 0)= + - / ×.
giving another result:
f(1) = + - / × = f(0) = + - / × = f(1+0) = + - / × = f(1,0)= + - / ×.
Looking at all objects as systems, with four behavioral components, including Numeric objects, qualitative, operational, physical, so called partial or complete system objects, a derivation of system behavioral components and principal system tenets could be notated as follows:
1( + - / ×) = > 0( + - / ×) = > 1+0( + - / ×) = > 1,0( + - / ×)
and again in other terms
1( + - / ×) = > 0( + - / ×) = > 1 and 0( + - / ×) = > 1 and/or 0( + - / ×)
giving again another similar result
1( + - / ×) = 0( + - / ×) = 1+0( + - / ×) => 1,0( + - / ×)
This notation may be more pleasing to some Theologians rather than Mathematicians. However I feel both the expressions of functionality and expressions of numeric object one as a system, can be said to be valid and existentially correct. The expressions of functionality and number object one, differ in that the functionality of one as expressed per any system component(s) give a system wide result where the numeric object one is expressed as a complete system also as a function of the operational systems ; both expressions are said to give system wide results, or access to a principal system.
Showing permanent tenets of a Principal System.
Thus any statement, observation, relationships, expression or expression
derivation Is/Are contained in, or part of the principal expression. We
are an expression. Any so called "additional" expression, would
not result in additional information. Expression of Expression(s)
would merely result in Non System wide results or Pseudo Systems.
Other modalities of expression maybe available giving other behavioral alternatives.
See the: System
Sub System Expression Synopsis
"Omniscience"
The expression of Operations as system objects could be said to give "Omniscience" . Or f(+) gives "Omniscience" . This is a result and consequence of the basic operation "+" expressed as a product of the four system behavioral components and it's products expressed as four system behavioral components resulting in "all knowledge" and all Mathematics.
The Universe and Knowledge (the domain of Sub Systems) could also be said to be a result of this condition and it's expression.
f(x) = + - / * ; A(x) = + - / * ; f(A) = + - / * ; A(Xy) = + - / * ; could all be said to result in portions of this knowledge state. But we will never achieve "Omniscience" with these types of expressions or expressions of partial system constructs or qualitative constructs.
Non Equality Axiom: Every Object modeled as a System or partial system construct with the four behavioral components is said to be unique in terms of its Quantitative and/or Qualitative properties, or it's system functionality.
Theology
f(1,0, Jesus(1,0)) = + - / ×
Per sermon of Pastor Joe Olsson of New Life Fellowship Foursquare church of Denver Colorado 80222 on August 26, 2012: The Crux of Christianity or Christianity knowledge is " Those who love god or truly love god will go to heaven........ "
The thoughts I wrote on this were "(Quantity+ Quality) unit 1 = Love", Where it can be said f(1,0, Jesus(1,0)) = + - / × is just another manner of this expression for a principal system expression. Which may be Mathematically clear to some.
For those, where this is not clear, here is a survey of possible Love Object Expressions (Objects modeled as complete Systems) from "(Quantity+ Quality) unit 1 = Love" expression:
Single Object or Life Object Love :
(Xx) => Xx1; Xx0; Xx1+0; Xx1,0; A1; A0; A1+0; A1,0
Paired Object or Paired Life Object Love:
(Xx+Xy) => XY1; XY0; XY1+0; XY1,0;;XX1; XX0; XX1+0; XX1,0; A1; A0; A1+0; A1,0
(Xx+Xx) => A1; A0; A1+0; A1,0
Multiple Object or Life Group Object Love:
(A1+B1+...+Z1) => AA1; AA0; AA1+0; AA1,0
(Xx+Xx+Yy+Yy...+Xx+Yy) => A1; A0; A1+0; A1,0
Numeric Object Expression or Life Expression of Numeric Object Love:
A(1) => + - / ×
A(0) => + - / ×
A(1+0) => + - / ×
A(1,0) = > + - / ×
f(1,0, Jesus(1,0)) = + - / × may also be said to be Jesus's "The way, The Truth, and the Life" or "Love". And where "Mankind" is substituted for Jesus giving
f(1,0, Mankind(1,0)) = + - / × , would be one's love of G-d, which would be said to "Get him/her to heaven".
•Judea - System and Sub System perspective without 4 general behavioral components, particularly in a Principal System.
f(1, Torah(A-Z)) = Every +, Every -, Every / , Every × Any +, Any -, Any / , Any ×
f(1, Mathematicians (1, 0 )) = Any +, Any -, Any / , Any ×
f(1, 0) = + - / × , ie Creative Mathematics Plug in Values and figure out how it works.
f(1)= + / - × ; As Expressed
God
f(1) = >
Holy Spirit
f(0) = >
(1)
Creation - Formless and Void
f(1 + 0) = >
(2)
Heavens and Light
f(1,0) = >
(3)
God + Earth (Earthly Functional Source)
f(A1) = >
(4)
Earth + Spirit (Earthly Non Functional Source)
f(A0) = >
(5)
Earth Life, Garden, Adam (System)
f(A1- Z1 + A0 - Z0) = >
(6)
Created Earth Life, Adam + Eve, Sub System Life as System
(Sub System as Tree of Knowledge of Good and Evil)
f(A1- Z1 , A0 - Z0) = >
(7)
Earthly Creation Complete - God takes a knap
f(Z1)
Existential Synopsis - Table of Contents
f(A) = f(B) = f(C) = ... = f(Z)
Or
<---- "I Am" ------>
f1 (A-Z) = + / - ×
and
Where (A-Z) is "Am"
Existential Synopsis - Table of Contents
& Its' Source and Derivation
You may ask...Where did 1 or One or f(1) come from? Or the property metaphor 1 - Any. Every object created by the Solar-Earth (__, __, __, ..., __) ; a Transformation / Function(s), would result in four unique behavioral components for each of these object/function(s). This could result in the numeric construct/metaphor of "One" and give us access or relationship capabilities with a principal system otherwise expressed as God or G-d. Derivations of this metaphor, or numeric object one, are listed below. Hopefully explaining our resultant body of knowledge, and its relationships, and non relationships. And access to a principal system. Giving us system wide and/or non system wide expression capability.
-
f(1__.) = __, __, ...__ . ; Shows relationship possibilities for an object expressed as a system. The objects indicated by __ or the underscore could be parameterized as mass, matter, life, fruit or cosmological item(s)/Event(s) or a Universe/Principle System.
-
1 __ . or f(1__ . ) or f( __. ) ; gives system wide functionality or results. Apple, Fruit, Universe or other Principle System functionality, or other object(s).
-
2 __. or f( 2__.) ; gives partial system functionality.
-
N __ or f ( __, __, ... N__) ; Indicates more possibilities for partial system expressions, non-system wide expressions of truth + non truth. Or System wide expression for N = 1. All this can give derivations which give other existential forms and their frameworks.
-
___ , ___ . or f ( __, __ ) ; gives also partial or system wide functionality. And Indicates more possibilities for partial system expressions, non-system wide expressions of truth + non truth. (See Expression Below, for system wide expression possibilities)
-
1, 0 or f( 1, 0 ) or f(1 + 0) ; gives System wide functionality.
Also of Interest:
f( Systems) vs. f (Sub System(s)
or
G-d (Systems) vs. G-d(Sub System(s))
Achieving full System and Sub
System Functionality
Any Sub System functionality as expressed simply
as Any(x) = Any(+); or f(x) = Any(+); would not achieve System
and Sub System functionality until the
incorporation of the basic operation Any(-) in the sub system expression
giving Any(x) = Any(+)Any(-) or f(x) = Any(+)Any(-). I use this Shorthand
expression of the basic operation system expressions, omitting Any(/) and
Any(*), because mathematically f(+,-) => f(+,-,/,*) when the operations
are expressed or modeled as systems.
This is to say a created life object mathematically expressed by Any(+)
would be said to not achieve full functionality until expressed by Any(+)Any(-).
The 3 other system components, Every(+), Some(+), Non(+) and Every(-),
Some(-), Non(-) in this expression are implied here.
Explanation of Knowledge Theory found in Book of Genesis of Bible
" Tree of Knowledge of Good and Evil"
Is a Sub System Expressed as a System
In the church I attend
New Life Fellowship Foursquare church,
Pastor Joe Olsson spoke of "Ownership" as a key concept in the "Eating
of of the Forbidden fruit" (The Tree of Knowledge of Good and Evil)
and "Original Sin" or "The Fall".....Which has led me
to the following update on the interpretation of this Items/Events.
"Ownership" in the "Garden" on Earth could be interpreted as
Mankind or Lifekind taking or expressing objects on Earth such as the "Apple
Tree" as Partial System expression(s) and/or Partial Expression
of operation systems. Thus taking "Ownership" of these objects
by omitting these behavioral components given by a principal system expression.
Meaning Ownership by expressing these objects as lacking behavioral
components, and taking supposed dominion over them, where in reality the
behavioral components were still there. Showing that the "Tree
of Knowledge of Good and Evil" was Mankind's partial product
or expression on Earth and his supposed dominion of them. Supporting
again the notion that Science and Knowledge is principally a Earthly construct
or Qualitative construct (a result of supposed "dominion"
of expression by omitting system behavioral components). Such an expression
may be: f(1,0, Mankind(A Any)) = + - / × .
"Tree of Life"
A Sub System Expressed as part of the Principal
System Components
....Barrier's to the System of the Tree of Life could
be said to be "Dependency" of various forms on the Tree(s) of
Knowledge of Good and Evil. Also, 'illness' and 'Death' could be said
to be attributable to these "Dependencies(s)"
Mathematical f(x) of any object or any qualitative construct is the functional
center of functional intersection of Principal System Components.
The Tree of Life as expressed or originated at: f(1) = + - /
×; could be said to be the same mathematical and functional
source for any object.
Asking a Question or Asking God a Question could be expressed in the following
way for any applied Qualitative Value or Construct:
In the Judeo/Christian Bible, Satan
is referred to as the instigator of all this. You may ask,
Who, what, when, where, why is this figure. I will try to answer this
question in terms of System and/or Sub System partial constructs.
Particularly as it references to existence on Earth. And where does this
existential figure receive all this 'power'? The Solar-Earth System
construct or partial construct that 'feeds' life existence on Earth is what
gives the partial System construct, 'Satan', his 'power'. An expression
for this relationship could be said to consist of the following:
Solar-Earth( X, Man(X)) = -------------- .
Or ....... Solar-Earth( X, Man(X)) = Any(+) .
This expression highlights
man's reliance with the operation and its functional component Any(+) and
it's apparent cause/effect relationship in Mankind's or Lifekind's Solar "System".
Other operational system components are ignored.
Satan is not a person. He also is a partial system/sub system construct,
that can be found in the above expression. Satan could be said to be any
partial expression of the following:
Satan=Every(Solar-Earth) / × Any(Solar-Earth) / × Some(Solar-Earth) / ×
Non(Solar- Earth) / × Any( Who, What, When,
Where, Why, How)
The constructs; Who, What, When, Where, Why, How, are used here to articulate
further Earthly constructs in Mankind's domain that are used to express
any kind of behavior. Which of course as a consequence would also
be used to articulate Satan or the behavior of Sin.
Further Explanation - Other Earth Consequences of Partial Constructs and their Earthly Domain: The Prey/Predator dominion or kingdom, Economic constructs, and Government Constructs.
System, Sub System Mathematics can explain some of these Earthly phenomena. Their Origin, their domain source, in terms of System, Sub System Mathematics and their partial constructs.
The Pseudo transformation/function(s) given by:
Solar-Earth ( __, __, __, ... __, ) = + - / *
....a function of some partial system expression of above stated basic operations. This partial system expression is explained by the multiple terms given by the partial system Solar-Earth expression , which could be the source of only some partial system expression of operations.
The expression below shows " f ", as one of the life expressions given in the " __ " expression of the Solar-Earth expression above.
In order for this life function " f " to attain system wide functionality a product of "Survival of the System-Fittest" syndrome , in this case Solar-Earth functionality, it expresses the Solar-Earth entire domain as it's expression or transformation/function. As with a "Sub System expressed as a System" mentioned several paragraphs above. However.... Unhappily for life function " f ", Solar-Earth expression is merely a partial system construct and true system wide functionality cannot be achieved this way.
f ( __, __, __, ... __, ) = + - / * ;
Adam and Eve in God's Garden with the "Tree of Knowledge of Good and Evil" is simply just another such expression.
f ( _A_, _E_, ... _Earth Object Knowledge_, ) = + - / * ;
=> Perpetuation of the "Tree of Knowledge of Good and Evil", on Planet Earth.
Economic Constructs, and Government constructs sometimes mistakenly utilize this same partial system expression to attempt dominion.
f( __ ) = ______; Always. Explaining the Perpetuation of the "Tree of Knowledge of Good and Evil", on Planet Earth. And perhaps explaining the evolution of sub system to pseudo 'system'. " f " is a resultant Solar-Earth Transformation / Function, giving a Solar-Earth Functional Context of Every(x). Thus giving Life Objects on Earth their corresponding limitations.
And How, f( 1 ) ≠ f ( N > 1) ; Always. Explains why true system wide functionality is never achieved in this way. And the existence of rationale for Non-Systems.
All this could show how Pseudo "Systems" are supported by the Solar-Earth transformation/function.
Also: f(1)= + - / × = > f(0)= + - / × = > f(1+0)= + - / × = > f(1,0)= + - / ×.
And Also: f(1) = + - / × = f(0) = + - / × = f(1+0) = + - / × = f(1,0)= + - / ×.
Showing permanent tenets of a Principal System.
Expressions of knowledge for singular, pairs, or multiple objects are of interest. Drastic differences in existential outcomes for these expressions. Where objects may include people, mass/matter, or Fruit/Apples (Biblical or otherwise) ..... Expressions of singular or paired objects may be functionally compatible within a given system or ad hoc system. Expressions of multiple objects of > 2, may not be functionally compatible within a given system or ad hoc system
Source of Perceived Time Behavior
System / Sub System(s) Expression gives continual generation of unique Item(s)/Event(s) or perception of ongoing time past, future. ....System / Sub System Transformations convey: Conservation of Information, loss of information and meaningful New Information, explaining our perception of the passage of time. And why over time, new information cannot be incorporated into any said "System".
Current "Time" Constructs and their Derivations from
Partial System/Sub System Expression(s)
- Earthly Sequences - Individuals and the Individual Partial System Constructs: A perceived Individual function Any(x) construct, and implied individual functional context Every(x).
- Solar Earth Sequential Relationship - An 'External' System and it's Partial System Constructs giving "Time": This perceived External function Any(x), with other System Components that are implied only, Every(x), Some(x), Non(x).
- Event(s) Numeric Ranking or Hierarchy: This Mathematical construct may have little relevance within a System Sub System paradigm. The only relevance or value may be within a partial system construct.
- Our Universe Relationship and it's Partial System Construct - Time/Space Relativity: Universe Functionality Any(x), other System constructs implied or completely ignored.
- All System/Sub Systems and their Components Considered - Zim Math: System/Sub System Time a Derivation by Logic/Expression.
The Origin
of Time(s) can be found in the following expression where Logic
and its Expression are said to give a basis for a series of cause/effect
behavior or relationship.
f ( ___, ___ ) + - / * ; or f ( ___, ___,
… ___ N ) + - / * ;
An Example Expression of Continuous Info. Behavior (Δ Unit Info)
(Item(1A) × Item(B)) × Events(A1)
A is some principle System, Item B is a partial expression of some Sub System
B
Jesus Walks on Water or other Miracle(s)
A Mathematical Addition to my work is that with the expression and combination of like System Components of Jesus(1,0) and Earth(1+0) functionality we see these Principal System Miracles or Behavior become “Real” and possess an Existential component.
Existential Synopsis - Table of Contents
A Mathematical Image for Plant Life
f(0) = + - / *
or
f(0) = __; 0 a function of some complete unknown operation system
or in other words, Plant Life may be the image derivative of some Non Functional Component
A Mathematical Image for Unicellular Life Forms
f(1+0) = + - / *
or
f(1+0) = ___ ; A System function of some complete and unknown operational system
A System functionality derivative
Original Equality Transformation
The expression for this Transformation is:
f(1) = + - / * => f(0) = + - / * => f(1+0) = + - / * => f(1,0)
= + - / * ;
Where all operational and numeric objects are modeled as complete systems
with four behavioral components. This expression is said to model and give
functionality for our given Principal System And also .....
f(1) = + - / * = f(0) = + - / * = f(1+0) = + - / * = f(1,0) = + - / *
for this expressed system from anywhere.
Any subsequent derivation such as
f(1) = + - / * => f(0) = + - / * => f(1+0)
= + - / * => f(1,0) = + - / * => ______.
is said to give a sub set or sub functionality with a sub domain . Any given
sub system or and it's sub function with it's given pseudo system, "A"
for example, are still said to be Not Equal unless they access the "Original
Equality Transformation" with all the original information intact and
accessible.
I note there is such a thing as functional compatibility or better said
Sub Functional compatibility by omission of fact. That is to say an expression
can be made compatible to any pseudo system "A" with the omission
of fact or existential expression. In this case the pseudo system "A"
maybe should be re examined in light of a 'incompatible" given omitted
fact.
Existential Synopsis - Table of Contents
Space Mathematics
Expressions of Qualitative Construct(s) or Partial System and/or Sub System Expressions give Space Mathematics.
f(1,0) = + / - *
f(0) = + / - *
f(1) = + / - *
f(1+0) = + / - *
AND
as expressed by combinations of partial numeric and / or qualitative system constructs....give Space Mathematics
Time / Space
Systems Expressions and their Constructs
Time/Space may be said to consist of the expression(s) of Numeric Systems and Qualitative Partial System Constructs. As I have notated below;
Numeric ___ Every(+) Any(+) Some(+) Non(+)
Qual ___ Every(+) Any(+) Some(+) Non(+)
When Like System Behavioral Components are expressed they may be Mathematically and Existentially combined giving a Time/Space. Time/Space Clocks may consist of some Mathematical Image of this Time/Space Expression?
Existential Synopsis - Table of Contents
THEORY
By Scoring Games and subsequent Competition, and by ranking Economic Commodities or Mediums within a System and/or Sub System Hierarchy; New and Relevant Theories can be developed for Economies, Monetary systems of exchange, Games, Competition, Capitalism, ETC.
Scoring within Systems,
Scoring within Sub Systems,
Scoring as Systems and Sub Systems.
Existential Synopsis - Table of Contents
Explanation of "Greatest is the Least, and Least is the Greatest" Paradox
found in the New Testament in the Bible
(Also See Diagram Immediately Below)
This paradox is explained
within the System, Sub System Paradigm. Where the expression of a System
Z and its' many Sub Systems (A,B,C,D) the given "Greatest" or
Z(A,B,C,D) = + - / * ; ; AND the expression of a Sub System
(D) as: D(x) = + - / * ; D(1) = + - / * ; or
D(1,0) = + - / * ; or D(N) = + - / * ; or D(1+0) = + -
/ * ; or even f(D) = + - / * ; the supposed "Least
Greatest", is expressed as a function of the same basic operations
modeled as systems. These expressions show that functional expression
Z(A,B,C,D) where, Z,A,B,C,D are all partial system constructs give a much
more limited System functionality as each object is a unique partial system
construct expressed by another unique partial system construct Z , giving
an increasingly limited system wide functionality. On the other hand
some low hierarchal sub system D expressed as a function of the same functional
source of basic operations modeled as systems would give a system wide functionality.
This is attributable to the lack of constraints offered through its' expressions
as opposed to Z(A,B,C,D) = + - / * .
This is applicable to many existential phenomena experienced in our contemporary
world.
Government and experiences within this construct. Communication
within Mass Media and Mass Media editorial constructs. Big corporations
having trouble competing. And other $ Financial institutions.
Numerical Objects as Systems
One (1) is considered a True Numeric Object.
All other Numbers are considered partial system derivatives or constructs
as with f(1) = + - / * . The derivative, f(2) expressed as a system
and function of operations also expressed as Systems would give Mathematics
or a portion or subset of Mathematics. f(2) as the ‘number’ we all know,
for example, would give a construct or qualitative construct. Numeric
Systems expressions, on the other hand and their products, are better
characterized as results per the Math Expression Constant ( See Applications
section ). f(0) is a derivative of f(1), but f(0) has no
known derivative. f(0) is a common
behavioral component to all objects, Numeric, Qualitative, Unknown,
or Operational expressed as systems with all behavioral components.
Any object or ‘Numeric’ object expressed as a function of Math operations
also modeled as Systems would have f(0) as a functional component for
the expressed result. Non System 'Numbers' and the Number Line should
be considered a Generality or another Qualitative construct.
The following can always be said to be true:
Every(1) = _______________ .
Any(1) = _______________ .
Some(1) = _______________ .
Non(1) = _______________ .
Or
Every(1) = _______________ X1.
Every(1) = _______________ XY.
Every(1) = _______________ X1.
Every(1) = _______________ XX.
Are also always said to be true.
Numerical Objects or their partial system components expressed as a
function of operations also expressed as systems or partial system expressions,
always has a valid existential result. Where:
f(1) = + - / *; is always true.
Also 1, 0 numeric objects can be described as 1 – 1 Any, or 0 – 0 any.
On the contrary Qualitative Constructs, or partial
system expressions can be said to be never equal as with following expression
of existential Objects:
Qualitative _____ ≠ Qualitative _____ . Which can also be expressed:
f(A,B) = + - / * ; The selection/omission of components A, B give a
self-limiting relationship and expression.
A or B could be some form of 12, X2, XY, 0X, Y0 .
f(1, Man(1,0)) = + - / *; Mathematics
1- 1 Any, 0 - 0 Any; Basic operations expressed as Systems
Sources to Mathematical Patterns
f(1,0, g(1,0)) = + - / ×; f(1,0, g(N,0)) = + - / ×;
f(1,0, f(1,0)) = + - / ×; f(1,0, f(N,0)) = + - / ×;
Generalities and the Role in Deductive - Inductive Reasoning
within a System/Sub System Paradigm
Where a generality is considered some Every(A) or a simple functional context of set of a objects or qualitative constructs which can be characterized as Any(A). This indicates that a Generality would not be applicable within a System and Sub System expression, but may be of value within a System only expression.
Mathematical Methods of Solving Expressions
within the System/Sub System Paradigm
Other useful Mathematical methods for solving expressions may be: Redefining or changing the system construct, or partial system construct. Adding Item(s) and/ or Event(s) to the expression knowing there is an existential solution. Changing the answer.
"(-) Applications"
or
Expressions of Omitted Expression Components
Most current and earthly Applications and expressions of Physical Laws, consist of partial system constructs. (-) Applications may be a way of expressing the limitations of these constructs.
An Identity Function
Apple(x) = + - / ×;
For any Object or 'Fruit' or Qualitative construct or Partial System expressed as a function of the basic operations within a System/Sub System Paradigm. Apple(x) as a functional system component Any(x). The basic operations as Systems with the four behavioral components.
Systems and Growth
(Life, Economic, Physical Object(s)
Earthly Constructs and Their Functional Context(s) expressed, determine
growth parameters, System outcomes, and any series path of the expressed
System.
The expressed Functional Context of said object could be said to be the
given standard(s) or parameter(s) of the object. This could also be
said to determine any functional, purpose, or non stated outcome. As with
the four behavioral components found in any existential object/system.
Possible results from any such expressed Standards could be:
- Standard = __________ . Is True
- Standard1 ×/ Standard2 = > ___________ . May be True.
- Standard1 ×/ Standard2 = > Standard3 . Is True
- Standard1 ×/ Standard2 ×/
... ×/ Standard N = > Constant unit Unknown
(Cx)
The Content of the Expressed Functional Standards or Context(s) may determine System outcomes as in the above expression(s). As with a Earthly construct, Universal Standard, or any such possible standards as with :
f(1)= + - / × ; f(0)= + - / × ;
f(X)= + - / × ; f(Xx)= + - / × ;
f(Xy)= + - / × ;
f(1y)= + - / × ;
f(X1)= + - / × ;
ETC.
Where operations here are expressed as Systems with the four behavioral components. Said to give all possible knowledge states.
Expressions or Standards may also be determined or found by the observation of new groupings or newly stated/described object(s).
Unknown Mathematics
Expressions
f(1) = + / - × ; = > IS an expression, the relationships are an expression;
Could be said to give a birth to expressions or relationships.
-
G_d = + / - × or G_d(__) = + / - ×; => + / - ×;
-
f(__) = + / - ×; or F(__) = + / - ×; => Xx
Solar – Earth ( __, __ … , __) = + / - ×; Could have given birth to
Relationship, Relationship with “God” or f(1) = + / - × ; = > and
subsequent derivations
f(X) = + / - × ; f(Xx) = + / - × ;
f(Xx, Yy) = + / - × ; f(1, Yy) = + / - ×;
f(1x, Yy) = + / - x; f(X1, Yy) = + / - × ; f(1, Y1) = + / - × ; f(1, 1y) = + / - × ;
f(1, 0y) = + / - × ; f(1x, Y0) = + / - × ; f(X1, 00) = + / - × ; f(1, Y0) = + / - × ;
f(1, 0y) = + / - × ; ETC.
I hope to show here that simply by composing a function or expression
as a variety of Unknown(s), that new functional and subsequent existential
dynamic may be derived. (Operations are expressed as systems here.)
Universal Applicability of basic operations gives "evidence"
of many things , including existence of God or a principal system consistency
as evidenced by how these operations behave per expressions available
to us or expressions that could be available to us.
Evaluating Expressions for Alternative Operational Construct(s)
In the true spirit of Creative Math - It is my understanding that there exists alternative Operational constructs to the basic Operations +, - * / and their known derivations.
These Alternative Operational constructs may be derived by evaluating the following expressions.
f ( __, __, .....__ ) = + - / *
or
f ( __, __, .....__ ) = __ __ __ __
using the the following object constructs:
X, Xx, Xy, X1, X0, X(1,0), X(1+0), B, C, D, 1, 0, (1,0), (1+0)
to represent system and/or sub system constructs or partial system and/or sub systems. And to represent operational system and/or sub system constructs or partial system and/or sub systems
within System, System and Sub System, or Sub System Context
Every Day problems can be readily portrayed within the System and/or Sub System paradigm. These problem / objects can be configured by some combination of Equality / Non Equality expression (See Above Graphic) . This problem configuration can be further developed by placing this problem / object within System, System and Sub System, or Sub System Context(s), and some variable Object Construct.
This may help to show that all problems are not static objects and have many possible expressions, contexts, constructs, and variable configurations (As shown by Math Art above)
System Ownership?
System + Sub System Ownership?
Sub System Ownership?
= 1, 1x, X1, Ax, A1, Xy ......ETC.
As ____ .
As Systems,
As Sub Systems + Systems
As Sub Systems
Where Problems can be outlined as:
___ ≠ ___
+
___ = ___
Or
___ = ___
+
___ = ___, ___
+
___ = ___, ___, .... ____
Existential Synopsis - Table of Contents
Productivity A + Productivity B + ....... + Productivity Z
In terms of
f( __ ); ___ (1); ___ (1,0); ___( 0 ); ___ (A); f(A); ___ (A-Z); f(A-Z).
Existential Synopsis - Table of Contents
Stated Object(s) & their Unknown Expression(s) Basis
(within a System / Sub System Paradigm)
What you State indicates it's Expression. As with the Sciences where observation of properties is said theoretically to have an expression basis. As with the Physical Sciences.
- Numeric Objects
- Numeric Unknown Objects
- Numeric Qualitative Unknowns
- Combinations of the above Objects
- Nested Combinations of the above Objects
f(1,X,C,Y) = _____ .
f ( __ ) 1 , f ( __ ) 2 , ... f ( __ ) N = _____ .
f (( __ ) 1 , ( __ ) 2 , ... ( __ ) N ) = _____ .
For Given Object/System A, each behavioral component of A can be expressed as function of complete operational expression or partial operational system expression.
Every(A) = + - / *
+
Any(A) = + - / *
+
Some(A) = + - / *
+
Non(A) = + - / *
The red and black notated operational constructs can indicate either system and/or sub system operation constructs
---------------------------------------------
Mathematical Documentation of this and their Logical Outcomes
The role of this Mathematics in Historic development of God Principles
(Principle System)
I feel it is Axiomatic as in Self Evident that these System Behavioral Components exist for Humans and all objects in our experience. The existential basis of these components and all objects in our experience is derived as Mathematically documented below. The human components stated below can be said to be expressed 'individually'. Here they are said to be expressed as a function of the operational system component +. When each behavioral component is expressed as a function of either a complete expression of + , like but incomplete terms and expressions of + , or unlike but also incomplete expressions of +, and as some principal or some System and / or Sub System expression , we get different existential/logical outcomes . When the individual components are expressed in like terms the components can be mathematically combined.
Every Human A(1) = +
Any Human A(1) = +
Some Human A(1) = +
Non Human A(1) = +
We can get a Principal System Outcome (Know, Access, or System Wide) vs. a Earthly functional outcome, or some Non Earthly functional outcome. Some of these Mankind/Human and/or Earthly outcomes are Mathematically documented below:
Mankind (1,0) = + ; Source to complete Mankind Function
Mankind (A1) = + ; Source to Earth Function
Mankind (A0) = + ; Non Function on Earth
Mankind (A1 + A0) = + ; Earth System Function
Mankind (A1, A0) = + ; Life on Earth function
Other Metaphors describing above expressions could be helpful
Existential Synopsis - Table of Contents
Economic Constructs within Systems Expression
Other expressions of Economics and their given constructs are available within the System and/or Sub System paradigm. Giving possibilities of, among other things, useful and viable Sub economies. Perhaps giving additional useful management, administrative, or governing tools. Where a universal system wide economic structure is seen as a limiting economic approach. A Governing system could have multiple economic and monetary systems with their unique constructs. Any sub economic and monetary construct is said to have it's own unique functional context, non stated functionality and common or intersecting informational properties. This sub economic and monetary construct is expressible as any so called system, universal, or principle system or construct. However it possesses it's own unique expressible properties. As I said , this could serve as a useful tool for administration, management, or governing of a given sub construct or supposed population construct.
Energy
E= MC2 can be expressed as a System and/or a Sub System.
Or operations as expressed as System(s) and/or Sub System(s)
Behavior or Forms of Energy, may be the Mathematical consequence of combining Qualitative and Numeric Object constructs in expression(s).
Other Mathematical AND Existential options are available.
With the outlined Solution Method below, you can Solve with any Known Operational System or Unknown Operational Systems, by exhaustively employing known or "unknown" expressed constructs. And then by combining the expressions, with like system component combinations for Mathematical/Existential solutions or soulutions. And then with utilzing the E=MC2 expressions as one of the expression objects we can visualize some of the known or other possible results of this Mathematical/Existential expression
Every( ___ )
Every(+)Any(+)Some(+)Non(+)
Any( ___ ) Every(+)Any(+)Some(+)Non(+)
Some( ___) Every(+)Any(+)Some(+)Non(+)
Non( ___) Every(+)Any(+)Some(+)Non(+)
Every( ___ , ___ )
Every(+)Any(+)Some(+)Non(+)
Any( ___ , ___ ) Every(+)Any(+)Some(+)Non(+)
Some( ___ , ___) Every(+)Any(+)Some(+)Non(+)
Non( ___ , ___) Every(+)Any(+)Some(+)Non(+)
Every( ___ , ___, ...
____ ) Every(+)Any(+)Some(+)Non(+)
Any( ___ , ___, ... ____ ) Every(+)Any(+)Some(+)Non(+)
Some( ___ , ___, ... ____) Every(+)Any(+)Some(+)Non(+)
Non( ___ , ___, ... ____) Every(+)Any(+)Some(+)Non(+)
Every( E=MC2 )
Every(+)Any(+)Some(+)Non(+)
Any( E=MC2 ) Every(+)Any(+)Some(+)Non(+)
Some( E=MC2) Every(+)Any(+)Some(+)Non(+)
Non( E=MC2) Every(+)Any(+)Some(+)Non(+)
Every( E=MC2 , E=MC2
) Every(+)Any(+)Some(+)Non(+)
Any( E=MC2 , E=MC2 ) Every(+)Any(+)Some(+)Non(+)
Some( E=MC2 , E=MC2) Every(+)Any(+)Some(+)Non(+)
Non( E=MC2 , E=MC2) Every(+)Any(+)Some(+)Non(+)
Every( E=MC2 , E=MC2,
... E=MC2_ ) Every(+)Any(+)Some(+)Non(+)
Any( E=MC2 , E=MC2, ... E=MC2_ ) Every(+)Any(+)Some(+)Non(+)
Some( E=MC2 , E=MC2, ... E=MC2_) Every(+)Any(+)Some(+)Non(+)
Non( E=MC2 , E=MC2, ... E=MC2_) Every(+)Any(+)Some(+)Non(+)
<---- Source of Energy ------>
f1 (A-Z) = + / - ×
and
Where (A-Z) is "Location of Energy"
Location of Energy consists of some Qualitative and/or Numeric Expression explained as some partial principal system expression. The utilization of such an expression gives variable "Energy Location" constructs from given Principal System(s) sources or Energy Source(s).
System and/or Sub Systems Expressions Synopsis
with the following constructs as possible Systems :
X, Xx, Xy, X1, X0, X(1,0), X(1+0), A, 1, 0, (1,0), (1+0)
and with the following constructs as possible Sub Systems :
X, Xx, Xy, X1, X0, X(1,0), X(1+0), B, C, D, 1, 0, (1,0), (1+0)
The number of objects expressed in this Synopsis is limited to N=1or f(A), N=2 or f (A,B) , N=3 or N>3 or f(A,B,C…Z). Where N=1, this generally depicts existential, physical, etc Function/Relationship. Where N=2, this depicts a general cause/effect relationship. With N=3 or N >3, this could be said to depict physic(s), existential/relativity, or other lawful, knowledge states.
The Following System and/or Sub Systems and their functions can be expressed by the basic operations modeled as systems or some partial expression of these operational systems.
Ohm's Law
As expressed within System/Sub System Paradigm
Current, Voltage, Resistance as (3) related partial system expressions
Logic
An analogy for expressing this logic paradigm can be seen in the typical PC computer model. Where the function of 1 and / or 0 as given by a Mathematical (Earthly) functional value of (+) would represent the computer language at a base level in a computer. Logic within a computer and within a computer's application software could take many forms as expressed. Such as Mathematically stated with :
f(1,0) = Any(+); Any A (+);
Every A (+) Any B (+); etc.
The corresponding existential analogy of this logic paradigm from a given
source can be Mathematically stated as:
f(1,0) = Every(+) Any(+) Some(+) Non (+).
As with a computer, Logic could take many forms as expressed. Any subsequent expressions of logic would be said to be a subset of the principal expression. Such as the following expressions:
Every A (+) Any(+) Some(+) Non (+) ;
Every(+) Any A (+) ;
Every(+) Any(+) Some(+) Non A (+).
But even within the 'limited' construct of a computer, logic of course can
take many forms. Expressions as a or the key existential, human, physical,
logical, Biblical,
Theological, Mathematical component, within this logic and System and/or
Sub System paradigm.
A possible earthly scenario for a historic derivation of our contemporary
logic paradigm can be seen in this expression outline sequence.
A derivation for numeric values and then their logical relationships can
be seen here:
___ =
___ , ___ =
___ , ___ , ... ___ =
And then expressing these expression outlines together with a Earthly Logical
(+), Any(+), Plus:
(+) ___ =
(+) ___ , ___ =
(+) ___ , ___ , ... ___ =
Giving Earthly Numeracy and Subsequent Earthly Knowledge.
Expression(s) and/or Logic (True and/or False)
Computer Science and Mathematics are very aware of the interchangeability of these conceptual commodities. Here is my take on this:
Expressions of equalities and non equalities can be said to give logic or True and False statements. Expressions of equalities can be 'added' to give a Truth expression. Expressions of Equality and Non Equality can be combined as in the following example to give a Logical Expression:
2 ≠ Z ; 0 Value or a False Value
Y = 2X + Z ; 1 Value or a Truth Value
X = 2 + Y ; 1 Value or a Truth Value
--------------------------------------------------------------------------------------------
f(1 and/or 0) : X + Y = 2X + Z + 2 ≠ Z ;
+ can serve as a logical variable consisting of a operational system and/or sub system as complete system(s) with four behavioral components expression or a partial system expression. This operational variable determines the logical outcome.
The (+), (-), (+-) as Metaphors to Explain/Describe Behavior
Physical, Existential, Terrestrial, and even Mathematical
These Mathematical Operations are not currently modeled as Systems or Systems with four behavioral components. To be more useful metaphors this should be taken into consideration.
(+) , (-) , (+-) Qualitative Constructs
as derived by partial System and/or Sub Systems expression &
their role in defining behavior.
The various combinations of system component expression should be explored:
Any(+) * Any(+) * Every(+)
Any(+) Non (-) Any(+)
A Any(+) A Non (-) A Any(+) A
A Any(+) B Non (-) C Any(+) D
A + A
or
A Any(+) A
or
A Every(+) Any(+) Some (+) Non (+) A
or
(Every(A) Any(A) Some (A) Non (A) Every(+) Any(+) Some (+) Non (+) (Every(A) Any(A) Some (A) Non (A)
MC2 = E as the following:
(Every(M)Any(M)Some(M) Non(M) Every(*)Any(*)Some(*)Non(*) (Every(C)Any(C)Some(C) Non(C) Every(*)Any(*)Some(*) Non(*) (Every(C)Any(C)Some (C)Non (C)
< == >
C(E) unit Every(x) Any(x) Some (x) Non (x)
(Principal System Expression Implied)
This could be said to be the result from a selected / omitted Time series plot of Item(s) and Event(s). Where the selected construct could consist of cumulative Intelligence Items and Events. Giving a cumulative cause/effect relationship resulting in the manifestation of a Energy relationship E=MC2. A key variable in this expression may be the selection / omission of system behavioral components for the operational system (+) plus.
Expression Constant & The Speed of Light "C"
The exhaustive parametization and expression of mass/matter as expressed by E=MC2, gives a speed of light 'c'.
The exhaustive parametization and expression of any physical or other attribute, ____ /matter as expressed by any Math expression, gives a qualitative constant. Fruit, or any other matter grouping.
Existential Synopsis - Table of Contents
Behavior of _______ .
Explanations, Expressions, Descriptions, Parametizations,
To model behavior with current models of knowledge, serious limiting parameters
must be utilized. Exploration of objects modeled as Systems and/or
Sub Systems may give more parametization options.
Behavior = _________ .
Behavior A = ________ .
Behavior A = ________ 1.
Behavior X = ________ A .
Behavior X = ________ Y .
Behavior X + Y = ________ (Y + W)1
.
The Life Expression
As System and Sub System, parametized as Item/Event(s), within Item(s)/Event
or Item(s)/Event(s).
(although other parametizations possible)
Mankind or Lifekind's DNA , may not be only a subset of God's information but may be an mathematical image of God's 'DNA' and Information. God's DNA/Information could be expressed as: f(1) = + - / *
Order vs. Disorder
Expressions of Objects as Systems or Sub Systems
Reference Mobile - New Transportation Modalities
Expressing Sub Systems as System(s)
Geometries and Functional Orientations
Perhaps the Pope was somehow right in his debate with Galileo on the Orientation of the Earth and the Universe. The Earth may not be the Geometric center of the Universe, but perhaps it is a functional center of the Universe. As for Geometric orientations such as a center, any geometric configuration for any given locus is most likely applicably appropriate. The flatness of the Earth can make as much sense as a spherical Earth. Analysis of Quantitative and Qualitative expressions giving a Space Mathematics, may give a survey of possible Geometries with their Functional Orientations.
Perhaps the Moral to this Story is "The Pope should have done his Math homework", and maybe the Pope and Galileo should have been aware of the option of Creative Mathematics.
Existential Synopsis - Table of Contents
Intelligence and Mankind
(within a System/Sub System Paradigm)
A standard of intelligence that I am aware of, is
based on one's functional context. You may ask, " What is your functional
context?". Our perception and our perception giving awareness
of an existential object can be based on our "functional context".
However, knowledge as we know it on Earth is compromised of Truth AND Falsehood.
In other words knowledge is also the source of misinformation. But this
also means a False statement can somehow always be shown to be a True
statement. I.Q. as now measured is simply another Qualitative construct
and partial system expression.
As I said above, a standard of intelligence can be said to be based on our
functional context. An Earthly functional context would give a source
of misinformation or Truth AND Falsehood. A functional context of
a principal system such as:
f(X) = + / - ×
or
f(1) = + / - ×;
May be a source of Truth and hopefully not Falsehood?
Also of concern is the determination of the functional
context of f(+). The system functionality of the operation + (plus) could
be said to give the state of knowledge or 'Omniscience'. The functional
context of f(+) could help determine this system functionality. A
couple of methods that I am aware of for determining this are found
in the Scientific Method, or a Creative Method.
The Scientific Method would involve solving for all 'known' expressed objects
of concern.
The Creative Method could involve taking any set of objects expressed as
in "Math Concept Art" with the knowledge that there is an existential
result.
Exploration of Efficiency of Information and Life Objects
An Existential or Optical Perspective; Mono,. Bio
or Multiple. Where the two optical eye perspectives gives depth perception.
Do Life Partner Relationships give an existential perspective? Non reasons
for >2 Perspective could be that for a perspective >2 no added information
or existential information is generated. Every perspective n >2 is more
partial system construct. Where every object has f (1) = + - / *; as a source
of information....? An efficiency of information for a life object could
be a significant factor. Could this be a reason for scarcity of optical
sensory > 2? And why permanent life partners are significant to Life
Objects. An f(2) expression or an expression of object(s) where n = 2, where
all existential objects are given to be unique as in f(x,y) = +/ - * or
f(1,y) = +/ - * ; could have advantages over life object expressions of
f(x) = +/ - * or f(1) = +/ - * , or f(x,y,z) = +/ - * or f(1,y,z) = +/ -
* . Where all information could be said to be accessible in expressions
of (2) objects, and where expression of (1) object may give access to only
a subset or portion of available information, as with f(of some partial
system construct or sub system). Life Object expressions of objects greater
than 2 as with f(x,y,z) = +/ - * or f(1,y,z) = +/ - * .; may serve to limit
even more of the available information than with object(s)=1 or object(s)=2.
Life and System Mathematics
Object procreation as expressed in System Mathematics
Every(A) + / - * Any(A) + / - * Some(A) + / - * Non(A)
+ / - *
Every(B) + / - * Any(B) + / - * Some(B) + / - * Non(B)
Giving f(1,0) = + / - * or Object(s) expression N > 1
Where: Some(A) + / - *
Some(B) = > Some(C);
this could document the feasibility of Earthly Life Transformations and also
a Principal System to Earth Life Transformation. This also documents the
idea of Mankind being in the Mathematical Image of a Principal System. As
in a Principal System DNA ( f(1,0) = + - * / ) or otherwise termed the Some(x)
system functional component, and not just the DNA image of one's parents.
This information could also document Jesus's claim in the Bible
that he was "The Son of God". Jesus as expressed ,
f(1,0, Jesus(1,0)) or G-d(1,0, Jesus(1,0)) would have access to the
same expressed information, + - / * , the basic operations modeled as complete
systems. Giving the expression of Jesus or Birth of Jesus, making
him the informational or a "DNA" informational expression of G-d.
Or as the "Son of God"
the expression of two objects & their functional intersections, give
a new functional component and subsequent other system components:
Every(C) + / - * Any(C) + / - * Some(C) + / - * Non(C)
Giving Object(s) expression N > 2 or
possibility there of a pseudo existence of "Tree of Knowledge
of Good and Evil",
where no additional knowledge or existential perspective gained.
Unicellular Life Expression
where Object expression N = 1 ;
f(1) = + - / * ; or
where Object expression N = 2 or
f(1+ 0) = + - / * ; giving function and non functionality (Mutation)
