Re: Well Ordering the Reals

David R Tribble said:
>> It's your math, Tony. How can you draw any conclusions from it if it's
>> not established yet?
>

Tony Orlow wrote:
>> The set is established and some properties are established, but all the
>> arithmetic rules of this number system have not been explored. I assign you the
>> task of figuring out how to add two H-riffic numbers in their native format. I
>> await your findings with great anticipation. Good luck!
>

David R Tribble said:
>> Do your own homework. Why would I waste my time on
>> something that I know is wrong?
>

Tony Orlow wrote:
> Wrong? You think the H-riffic numbers are "wrong"? What is wrong with them?
> They are a number system with a structure that works. They may not be great for
> everything, but they are certainly not "wrong". That's just a dumb remark that
> says you aren't interested in whether there is anything interesting to
> discover.

Okay, prove something simple like f+1 > f for all infinite f.
Show that the sum of the digits for f+1 is greater than the sum of the
digits for infinite f.

I admit that I can't because I can't create a workable definition for
infinite numbers, so that addition, comparison, etc. work properly.
But your definitions so far are no better.

.

Relevant Pages

  • Re: Well Ordering the Reals
    ... David R Tribble said: ... > hyperintegers, not the reals in the unit interval. ... >> implicit infinite string of leading 0's which add no value to the sum, ...
    (sci.math)
  • Re: Well Ordering the Reals
    ... >> David R Tribble wrote: ... >> Tony Orlow wrote: ... > bit positions to achieve the infinite values in *N. ...
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  • Re: Two results of set geometry
    ... David R Tribble wrote: ... All of these infinities in your spectrum must be of the "actual" ... Tony Orlow wrote: ...
    (sci.math)
  • Re: infinity
    ... > David R Tribble said: ... >> Tony Orlow wrote: ... >>> possible difference is not infinite if no differences can possibly be ...
    (sci.math)
  • Re: Well Ordering the Reals
    ... > David R Tribble said: ... >>> infinite number of bits. ... The entire bit string need not be. ...
    (sci.math)
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