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Zim Mathematics - Creative Math and Math Axioms
(Showing the Need for a Creative Axiom) -
Updated
04/19/2008 05:01 AM -0700
Zim Audio Greeting
| Synthesis or Basis | Time | Poetry in Numbers | Definitions | Equalitee | Plus and Minus |
| Paper to MAA |
Zim's Philosophy on Creative Mathematics:
" ............ New Frontiers in Mathematics are shown in Zim Mathematics where an expression of expressions gives a unique expression with a quantitative factor or correlation (Math Expression Constant). And where ANY item/event ×/+ ANY Item/event gives a unique item(s)/event(s) (Unsubordinate Fact) In this web site I model items/events as Systems with various components of behavior. These System components can be expressed by combinations of factoring and proportion highlighting new behavior in Mathematical, Physical and other existential Systems (System/God Transformations) . Cumulative operations demonstrate only a relationship to some unique expression and it's quantitative factor (Phi Time Relationships). Opening new Frontiers in Math not now recognized. In Axioms , Style, Useful Applications. My many math art mediums that I employ are/is to utilize intellectual capacity now not tapped under current mathematical methodology. Giving also new approaches to Math problem defining.
I have nothing against Mathematics, just how it is
taught . I have a problem with how Math is taught in the schools where
Mathematics and their Axioms are represented as Universal Truths.
Math Educators would benefit from going thru this site. And see the Final Creativity Exam when done.
The possibility of a great range
of new Math Applications is shown here, derived and inspired through analysis
of Mathematics Art. Math Concept Art is a staple of Zim Mathematics. In this
web site even the basics of Science are re evaluated. Axiom Analysis is carried
to appropriate extremes and proportion. The importance of Creative Applications
to the Life of Math is highlighted. All giving unique values to Mathematics
in this site.
I have no doubt that some will scoff at my interpretations as I approach Mathematics
in general with an artistic perspective or ... with a lack of Fundamental Basis.
More of a Basis approach without the Fundamentals. As to say you can state a
Basis for anything but I feel it is always open to perspective and interpretation.
Mental Dynamics or Science Dynamics are not enough in themselves, a Science
incorporating the dynamics of both is necessary. Creative Mathematics
at least gives the freedom to implement this reality. Which is not available
when utilizing mind / matter axioms...One reason I feel there will not be a
Unified Theory of Mathematics and/or Science is that there are limits to Problem
defining. Problem defining is limited so the answers will also be limited.
I am not sure why those who seek complete systems of knowledge, such as with
String Theory, do not incorporate this logic/knowledge into their system. Perhaps
the limit to problem defining is by the quantity of qualitative information
incorporated or factored into the expression. See
God unit Info for Expressions
on Question Development dynamics.
Any Symbol or Symbolic content is limited by construct of
definition. Implying limits to math problem development. And limits to math
knowledge. Perhaps Godel implied much or some of this?.....
I think that the Construct of Definition is limiting in itself and it does
not matter if you can define everything in a Theorem or Axiom. No Symbol of
any Item/Event can be 100% defined. So when a Theorem or Math problem is laid
out with definition that the definitions themselves are limiting the answers
or conclusions.
Science, is also based on results and to a limited extent Axioms. But
even the results depend on The what, when, why, how, Who and among other things,
perhaps "Functional Context".
Only Creative Mathematics can keep Mathematics on the path (vector x) to fill a desired Function Matrix of Every (truth), that we seek for some reason. No set of Axioms is sufficient to do this alone. I think, Creative Math, Knowledge Synthesis, is the closest answer to this. Where the ability or algorithms to generate new knowledge is the best approximation to Every (Truth).
Controlling Mathematics' development is The Real Math Oxymoron. I admit I may have bit off quite a bit in this web site. I did this not that I am so capable but I felt it needed to be done."
Creativity in Mathematics and their founding Axioms should be recognized as an essential part of the progress of Mathematics and Mathematicians. Most Math Artists use Math to create their Art, I use Art to create my Math. Mathematics at its' best is Pure Logic applied to some abstract existential component (Not necessarily Numbers) and put well on paper (or other medium). This Zim Mathematics Web Site is my attempt at showing what a Creative Mathematics could really mean. Synthesis of Knowledge is Axiomatic, not just through analysis. Knowledge can be simply generated. ...Good Creative Math is painfully obvious but not so obvious at the same time (for obvious reasons).....I prefer the Creative Mathematics approach to development in Mathematics as opposed to pursuing Theoretical Mathematics. Because Theoretically , even according to Mathematics, Mathematics can be shown to be Systemically in error. Any statement, Mathematical or otherwise, is subject to the same Symbolic limitations. Limits of definitions, limits of content. Even with greater implied content, these statements fall prey to Symbolic limitations. However, I give evidence in this web site, that Mathematics does exist and is not a figment of Human imagination, intuition or intellect. So why beat this topic to death, lets get on with it! Expand the boundaries of Creative Mathematics with new Creative / Art mediums."
My cartoon making, at one time, was my favorite pastime in Zim Mathematics. Some people appreciate the poems of mine the best of all, on this site. I find the Math Stories amusing and insightful, the Thought Experiments intellectually stimulating, the Expression / Formulas have much potential, the Games are instructive showing new forms of communication and teaching, The Creative Math Calendars are interesting but need some work, the Concept list is very Mathematically interesting. If I had time I would like to explore with analysis some of my drawings, and other Creative Mathematics I have done. I am always interested in exploring new Math and Math Art mediums. Feel free to contact me for any feed back, it helps me be more productive and focused. ............. "
Zim
I always felt that Mathematics, as taught, is as limiting as it is
empowering. I think there is a need for a creative axiom in Mathematics
and the teaching of Mathematics.
“Synthesis or Basis”
A poem by Zim Olson
Top of Page
Do all item(s) and/or event(s) exist in a set of relationships?
Basis without synthesis would be an existential crisis!
Synthesis without basis would give us no rational to guide us.
Basis and Synthesis in one time would be an existential crime.
Giving a Mathematics in crisis!
The axiom of Time to me is one of the main axioms of Mathematics.
...To me , "Time" is just another mathematical construct used to model
and explain our surroundings. Other useful paradigms can be found.
An Information Time would be
one such useful paradigm.
“Time” A poem by Zim Olson
Top of Page
Is Time Universal?
And is the answer lawful?
Or is the question just awful!
What do you do , when you want to Know what is true,
about time or anything you think of.
You can reason the seasons.
Plot a whole lot to a dot.
Subjecting Atoms to intellectual fathom.
But perhaps the answer is in a rhyme about time.
The concept of whole values is another fundamental concept of Mathematics.
“Poetry in Numbers” A poem by Zim Olson
Top of Page
Counting.
Counting Quality.
Counting Quantity.
Counting Anything we Think of.
Do the same rules of operation apply to
….Everything, Anything, Nothing we think of.
Do the Rules of Wholeness apply to all values.
Whole Values in Time.
Whole Quantitative Values in Time.
Whole Qualitative Values in Time.
Whole Operative Values.
I find many Holes in today’s Human Knowledge.
The manner of Defining Math terms is not applied systematically or exhaustively.
Leaving out many possibilities to Mathematics.
Definition Theory
8:18 PM 4/18/2008
The Domain of Definitions a poem by Zim Olson
Top of Page
The domain of all definitions,
is no 2N dimensional plane.
the intellectual reflection, is merely mathematically vane.
The value there of,
is in the eye of the beholder.
Where independent analysis,
just makes the mathematician bolder.
If _________ then ___________.
Who, what, where, why and When.
The questions proceed,
from this basic deed.
Will the mathematician ever be freed.
We try to define A- Z, with itself as the domain, this does not make us
free!
We do this
Per any definition, Giving Limit One per rendition.
We will never be done. They call this fun?
Analysis begets analysis,
From a baseless basis.
Where we try to define ourselves,
by plus, minus, per, times our ourselves.
This truth, more intellectual exercise,
Not eventual, precise or wise.
The answer to this riddle,
could lay in prose put to some fiddle.
From the intellectual domain, should we refrain,
the task of drawing some Symbolic frame,
or some such finite context,
of concept, expression or proverbial text.
Where A-Z is our Qualitative domain,
and 1-N our only known Quantitative limit, remains.
Symbolic Truth we seek, for the intellectually meek.
But there is no symbolic path, For this new Math.
So the domain for for definition(s) A-Z,
Could lay within some Mathematical Tree,
With no path for a non hierarchal math.
What is equality? Often used, more frequently misused. Is anything really
equal?
"Equalitee" A poem by Zim Olson Top of Page
The Positive, Negative,
Neutral Mathematical Di-lemma
Top of Page
By Zim Olson
Are we all charged,
as some Physicists would have it?
Or the Sum of Parts,
Adding to some whole,
As our friends the Mathematicians would state it?
Creative Mathematicians may surmise,
Not to a few of us surprised,
We are of unknown Quantitative/Qualitative dynamic,
Of un state-able size,
To obtain a value there is need of compromise.
Which certainly gives some of us,
this charged di-lemma.
A never ending problema.
Like life itself it seems,
Not like some non existential Mathematical dream.
Some Questions must be asked,
To achieve this indutible task,
Who wants to know?
And maybe Why, When, Where, How.
more complete, a functional set, ,
and somehow, a better bet.
If fact, in order to achieve a state of fact,
questions should not be limited,
not another misuse of intellectual tact,
or
by philosophy, discipline, or a hierarchal domain,
for which I will not refrain from saying can be existentially insane.
So the question are we some existential combination of
Plus, Minus or neutral?
The answer to that question,
should give us intellectual indigestion.
Maybe a Neutral party would be ideal,
to make a different/separate intellectual deal,
Or to some open Quantitative and Qualitative expression should be made this
appeal.
Say we are compromised of Qualitative term(s),
and by their apparent contradiction we are not spurned.
where subsequent descriptions do not intellectually inhibit,
giving new domain in Quality limits.
They all could be true, giving the Mathematician for once a real job,
for what, when, why, where, how and WHO.
Can this Qualitative description be True.
This gives the Mathematician enough work,
He will never be though.
Where there is no such thing as a Answer/Question,
An Answer/Question simply implies subsequent unknowns/known.
Which at least is better for my intellectual digestion!
Paper to Math. Assoc. of America (1997) Explaining Reason for Creative Axiom
Author - Zim Olson Top of Page