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Topic: the continuum is not for babies
Replies: 13   Last Post: Jul 11, 2014 2:27 AM

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Posts: 2,720
Registered: 2/15/09
Re: the continuum is not for babies
Posted: Jul 5, 2014 11:02 PM
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On 7/5/2014 4:07 PM, wrote:
> what happens, when you change it to base_3

What happens in the representation going from
binary to trinary is that there is an organization
of the space as binary that is somehow being at
once the expansions in binary, and a layout only
in binary, as it were. To go to higher integral
bases, while it allows more terse notations, they
are yet of broader alphabets.

Point being, yes something "occurs" between
binary and trinary in representation of values
of a continuum (here of R[0,1], the unit line segment).

It's a feature of the numbers and their spaces.

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