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There are two basic forms of set's contents where the word 'many' is meaningless:
{} Eemptiness
{_} Fullness
These two basic forms Cannot be reached by finite or infinitely many objects.
Finite or infinitely many ojbects can only approach these two basic forms of set's contents.
Therefore 0 and oo (or -oo) are the limits( (0,oo) or (-oo,0) ) of any information system, including Math language.
And again, it is clearly shown here:
http://www.geocities.com/complementarytheory/RiemannsLimits.pdf
When these two unreachable and opposite limits are associated, new forms of information can be defined, explored by us, and used to help us be better participators in this universe.
Therefore concepts like complexity, uncertainty and redundancy, based on simple principles, have to be taken as natural basics of any axiomatic system.
By doing that, i think Math language can be developed to variety of unexpected areas, beyond our wildest dreams.
{} Eemptiness
{_} Fullness
These two basic forms Cannot be reached by finite or infinitely many objects.
Finite or infinitely many ojbects can only approach these two basic forms of set's contents.
Therefore 0 and oo (or -oo) are the limits( (0,oo) or (-oo,0) ) of any information system, including Math language.
And again, it is clearly shown here:
http://www.geocities.com/complementarytheory/RiemannsLimits.pdf
When these two unreachable and opposite limits are associated, new forms of information can be defined, explored by us, and used to help us be better participators in this universe.
Therefore concepts like complexity, uncertainty and redundancy, based on simple principles, have to be taken as natural basics of any axiomatic system.
By doing that, i think Math language can be developed to variety of unexpected areas, beyond our wildest dreams.
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