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Zim Mathematics - Creative Mathematics, Math Art , Applications, and an Existential Synopsis. Zim's Existential Synopsis "This site is intended for those interested in serious Creative Mathematical thinking, and Mathematical analysis of Math Art and those interested in serious analytical fun." |
| Creativity Intro: | Philosophy | Axioms | Videos | Final Exam |
| Creative Mediums: | Stories | Expressions | Poems | Experiments |
| More Creative Mediums: | Concepts | Games | Survey | Calendars |
| Math Concept Art: | Math Art | Art Bits | Art Logos | TShirts |
| Applications Intro: | Contents | Page One | Page Two | Videos |
| History/Documents: | 1985 Math | Math Links | Documents | Biography |
| Content of Zim's Boston Conference Exhibit 2012 | Content of Zim's 2013 DVD (In Progress) |
Explanation of Systems and Sub Systems Concepts
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)= + - / ×. 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 Sysem wide results or Pseudo Systems.
Other modalities of expression maybe available giving other behavioral
alternatives. "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. |
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Theology
•Christianity - System and Sub System perspective.
With four behavioral components. As with the four behavioral
components found in any existential object/system.
f(1,0, Jesus(1,0)) = + - / × •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 ×
•Mathematics - System and/or Sub System perspective
without general behavioral components in the principal system.
f(1, Mathematicians (1, 0 )) = Any +, Any -, Any / , Any ×
•Zim Mathematics - System and/or Sub System perspective
with general behavioral components in the principal system.
All existential objects, including operations , also considered
as Systems and/or Sub Systems.
f(1, 0) = + - / × , ie Creative Mathematics Plug in Values and figure out how it works.
In Summary of my Existential Summary, I would like
to mention the variety of Qualitative Constructs employed by the different
faiths, Sciences and Zim Mathematics. Pure Qualitative constructs
are problematic. So a Source to soulutions is necessary.
I don't feel any qualitative construct and/or Transformation can provide
all functionality for all object(s). Qualitative constructs in Transformations
limits some additional information. A full functionality of a
given qualitative construct is not system wide. For example: f(1Apple,
0Apple) = + - / × , at best is the functionality of an Apple and not
System wide functionality as in: f(1, 0) = + - / × .
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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. |
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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. "Tree of Life" ....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)"
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. 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 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. |
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)
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.
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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 |
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) = + - / * .
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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.
Or On the contrary Qualitative Constructs, or partial
system expressions can be said to be never equal as with following expression
of existential Objects:
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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)) = + - / ×;
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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. |
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Possible results from any such expressed Standards could be:
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). |
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Unknown Mathematics
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. |
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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 |
![]() 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.
f(1,X,C,Y) = _____ .
f ( __ ) 1 , f ( __ ) 2 , ... f ( __ ) N = _____ .
f (( __ ) 1 , ( __ ) 2 , ... ( __ ) N ) = _____ . |
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. |
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 |
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) |
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Behavior = _________ . |
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) = + - / *
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Order vs. Disorder Expressions of Objects as Systems or Sub Systems
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Reference Mobile - New Transportation Modalities Expressing Sub Systems as System(s) |
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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". f(X) = + / - × 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. |
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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.
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Life and System Mathematics Object procreation as expressed in System Mathematics Every(A) + / - * Any(A) + / - * Some(A) + / - * Non(A) Giving f(1,0) = + / - * or Object(s) expression N > 1 Where: Some(A) + / - *
Some(B) = > Some(C); Every(C) + / - * Any(C) + / - * Some(C) + / - * Non(C) Giving Object(s) expression N > 2 or Unicellular Life Expression f(1) = + - / * ; or where Object expression N = 2 or f(1+ 0) = + - / * ; giving function and non functionality (Mutation) |
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Zim's Explanation of the above 'Original State' or 'Original Transformation' Venn Diagram in terms of portions of stated Christianity, and how Computer Language works and does not work. The purpose of this exercise is to show the existential feasibility of stories in the Bible and also possibility of useful Mathematical Applicability:
With the application of full set of basic operations
to each component of a Principal System, the intersection of this Venn Diagram
would give a complete circle. As I have said this before, this diagram of
System and/or Sub System functionality, is said to represent functionality
for any Object. Principal System or any said Object. Thus giving credence
and basis for the Theological notions of "Omniscience", "Omnipresence",
and "Omni sapient" , expressible in all things or objects. "Omni sapient",
could be said to be derived from "Omniscience" "Omnipresent" in all
things. |
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Every(Quan)+Any(Quan)+Some(Quan)+Non(Quan)+ Every(Qual)+Any(Qual)+Some(Qual)+Non(Qual) |