I Non unicity of decimal expansion and extremes of intervals

  • #51
DaTario said:
I understand your difficulty. Frankly I don´t expect us to solve this in a different manner that the traditional books do.
My only difficulty here is that I have no idea of what we are supposed to solve in the first place.
 
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  • #52
Samy_A said:
My only difficulty here is that I have no idea of what we are supposed to solve in the first place.

You are lucky, I have more difficulties.
 
  • #53
Samy_A said:
Frankly, I don't understand what point exactly you are trying to make.

DaTario said:
I understand your difficulty. Frankly I don´t expect us to solve this in a different manner that the traditional books do.
The difficulty is entirely on your part. This is not an insurmountable problem that needs to be "solved." Throughout this thread you have made a number of statements that are just flat wrong.

"There is no uniqueness in decimal expansions of real numbers, specially if one wishes to compare numbers (and their decimal expansions) extremely close of one another."
Is this is correct, shouldn't this imply that it is kind of useless to assign to intervals adjectives as closed or opened?
perhaps we could demonstrate that each point in the real axis may be seen as a number having in its decimal expansion an infinite number of whatever the highest digit of the system used in that turn. This creates a system of infinite number (Aleph one) of demonstrations for each point in the real axis. In these demonstrations, each point would accept two decimal expansions.
If your intent was to start a Platonic dialogue, that was not something that you made clear. Without such a disclaimer, your statements come across either as someone who is confused or someone who is trolling.
 
  • #54
Mark44 said:
The difficulty is entirely on your part. This is not an insurmountable problem that needs to be "solved." Throughout this thread you have made a number of statements that are just flat wrong.

If your intent was to start a Platonic dialogue, that was not something that you made clear. Without such a disclaimer, your statements come across either as someone who is confused or someone who is trolling.
Ok, time to stop.
 
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