- #1
Doron Shadmi
Hallo Dear people !
In the attached website there is a short Email exchange, describing the foundations of a new theory of numbers.
http://www.geocities.com/complementarytheory/CATpage.html
I'll be glad to get your remarks and insights.
A quick reference of my acronyms:
---------------------------------
CAT = Complementary Associations Theory.
CD = Continuum XOR Discreteness (CAT's opposite concepts).
Association = Any possible mutual influence between opposite concepts
(under CAT its between Continuum and Discreteness).
EP = Explorable Product (exists iff it is an Association between CD).
AL = Association Level is an invariant quantity, being kept through
CD Associations.
CR = Computational Root is EP in AL.
RU = Redundancy and Uncertainty concepts, are used as invariant
structural degree of CR, determining its exact position in AL.
FRU = Full RU is the first CR in AL.
~RU = Not RU is the last CR in AL.
PRU = Partial RU is any CR which is not FRU and not ~RU.
FIS = Fractalic Information Structure, used to represent numbers
which are based on CRs.
NAB = Natural Axiom's Base is any property in some theory, that have
elements which are inaccessible to the other proprties of the
theory.
Yours,
Doron
Special thanks to Hurkyl:
In the attached website there is a short Email exchange, describing the foundations of a new theory of numbers.
http://www.geocities.com/complementarytheory/CATpage.html
I'll be glad to get your remarks and insights.
A quick reference of my acronyms:
---------------------------------
CAT = Complementary Associations Theory.
CD = Continuum XOR Discreteness (CAT's opposite concepts).
Association = Any possible mutual influence between opposite concepts
(under CAT its between Continuum and Discreteness).
EP = Explorable Product (exists iff it is an Association between CD).
AL = Association Level is an invariant quantity, being kept through
CD Associations.
CR = Computational Root is EP in AL.
RU = Redundancy and Uncertainty concepts, are used as invariant
structural degree of CR, determining its exact position in AL.
FRU = Full RU is the first CR in AL.
~RU = Not RU is the last CR in AL.
PRU = Partial RU is any CR which is not FRU and not ~RU.
FIS = Fractalic Information Structure, used to represent numbers
which are based on CRs.
NAB = Natural Axiom's Base is any property in some theory, that have
elements which are inaccessible to the other proprties of the
theory.
Yours,
Doron
Special thanks to Hurkyl:
Dear Hurkyl !
Thank you very much for being pedantic .
I made very important changes in my article, and I'll be glad
to get your comments on it.
Some Graphics of my number system representation of ALs 1 to 7 ,
you can find here:
http://cyborg2000.xpert.com/ctheory/
It is written in java by a friend of mine, and it is based on
Cartesian Product so, there are some left-right permutations
that can be ignored.
Thank you for your patience.
Yours,
Doron.
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