doronshadmi
Penultimate Amazing
- Joined
- Mar 15, 2008
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Let us return to http://www.internationalskeptics.com/forums/showpost.php?p=5858531&postcount=9626 .
By Standard Math an irrational number is defined as the limit of all rational numbers that are < or > from this irrational number.
In this case the rational numbers are not a complete metric space because their limit (an irrational number) does not belong to their metric space.
In this case we can ask: What enables the linkage between two metric spaces, such that an element of a given metric space is the limit of another metric space?
No one of the members of the given spaces is the linkage between the spaces, so there must be another mathematical property that is fundamentally different than the members of the given spaces.
Carful study of this case leads us to understand that the linked members of two different spaces are local elements of their spaces, such that each member belongs to a given space.
So the linkage between elements that belong to a given space, is exactly an element that does not exclusively belong to a given space, such that it belongs AND does not belong to any given space, or in other words, it is non-local w.r.t any given space.
Furthermore, if only a one given space is considered and more than one element of that space is considered, still the common property of a given space is non-local w.r.t to the given id of any member of that space.
No local element belongs AND does not belong to a given space, and no local element is the common proprty of a given space w.r.t to the ids that belong to this space..
A non-local element belongs AND does not belong to any given space, or a non-local element is the common property of a given space w.r.t to the ids that belong to this space.
Now, in the case of http://www.internationalskeptics.com/forums/showpost.php?p=5858531&postcount=9626 constant X>0 is a non-local element, where the limit point is a local element = 0 (notated as Y).
Since X=Y is false, then it does not matter how many projections of bended versions of constant X>0 are projected on the non-bended version of constant X>0, S=(2a+2b+2c+2d+..) < X (by 0.000...3/4, which is the invariant proportion between the bended projected versions of constant X>0) exactly because X=Y is false (Non-local AND Local is false).
Classical analysis can't deal with the anomaly that is exposed by
because Non-locality is not understood by Classical analysis.
By Standard Math an irrational number is defined as the limit of all rational numbers that are < or > from this irrational number.
In this case the rational numbers are not a complete metric space because their limit (an irrational number) does not belong to their metric space.
In this case we can ask: What enables the linkage between two metric spaces, such that an element of a given metric space is the limit of another metric space?
No one of the members of the given spaces is the linkage between the spaces, so there must be another mathematical property that is fundamentally different than the members of the given spaces.
Carful study of this case leads us to understand that the linked members of two different spaces are local elements of their spaces, such that each member belongs to a given space.
So the linkage between elements that belong to a given space, is exactly an element that does not exclusively belong to a given space, such that it belongs AND does not belong to any given space, or in other words, it is non-local w.r.t any given space.
Furthermore, if only a one given space is considered and more than one element of that space is considered, still the common property of a given space is non-local w.r.t to the given id of any member of that space.
No local element belongs AND does not belong to a given space, and no local element is the common proprty of a given space w.r.t to the ids that belong to this space..
A non-local element belongs AND does not belong to any given space, or a non-local element is the common property of a given space w.r.t to the ids that belong to this space.
Now, in the case of http://www.internationalskeptics.com/forums/showpost.php?p=5858531&postcount=9626 constant X>0 is a non-local element, where the limit point is a local element = 0 (notated as Y).
Since X=Y is false, then it does not matter how many projections of bended versions of constant X>0 are projected on the non-bended version of constant X>0, S=(2a+2b+2c+2d+..) < X (by 0.000...3/4, which is the invariant proportion between the bended projected versions of constant X>0) exactly because X=Y is false (Non-local AND Local is false).
Classical analysis can't deal with the anomaly that is exposed by

because Non-locality is not understood by Classical analysis.
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