On Jan 18, 3:37 pm, "Akira Bergman"
tpg.com.au> wrote:
> I remember your numbers from some time ago when I was doing H-numbers.
> They attracted some attention, specially after Cliff Pickover mentioned
> it in his Reality Carnival blog. But it eventuated to nothing, apart
> from entertaining people and also leading me to Mirror Set. The number
> axioms that bind natural, integer, real and complex numbers are very
> powerful. They form the basis of mathematics and science. When new
> numbers are theorised, they have to be checked against this powerful
> background. Not an easy task. There is not enough formal analysis in
> your work that relates your work to the axioms. Mathematical logic is
> absolutely essential if you want to get anywhere in fundamental
> research. My H-numbers suffered due to the same reasons. I find that,
> you gotta compare your work to many sciences. If they are good, they
> should stand the test.
>
> Now wiser, I switched to natural numbers. I think they are at the base
> of everything. Specially the {0,1,infinity} triplet. I intend to extent
> my Mirror Set to integer, real and complex numbers in due course. At
> the moment I am slumbering around multi-factorials (E.Barnes type). I
> think nature first makes 1, then using it as a mediator, it makes 0 and
> infinity as boundary. 0 is important, but infinity is equally
> important, since they form an inseperable duality. Mathematics is the
> most difficult topic of all. It needs formalism as much as intuition...
> and a lot of work patience.
>
> Timothy Golden
BandTechnology.com wrote:
>
>> I've looked at your ATON a bit.
>> I do have some mathematics that supports a zero-dimensional entity
>> which is awfully like nothing but it is not yet accepted.
>> How does ATON relate to continuum?
>> The polysign construction takes magnitude as fundamental and marries it
>> with the natural number as another fundamental:
>>
http://BandTechnology.com/PolySigned
>> I do not adhere to the usual construction of the reals any more.
>> It strikes me as artificial and if it were reality then the continuum
>> would be composed from the natural numbers, but this is hardly where
>> physics has taken us.
>>>From these basics the 'real' number has been taken as fundamental
>> rather than magnitude. This may be a mistake which sources much
>> confusion allowing modern physics' partial insanity.
>
>> When composing a basis something must be granted. If we do not grant
>> enough then the consequences of the basis will diminish. This then
>> requires more construction on top to get more consequences. If such a
>> structure can be collapsed to a basis that grants slightly more and
>> gains features consistent with reality without any superstructure then
>> I think that the expanded basis deserves some attention, especially
>> when the old basis never even got the consequences of reality.
>
>> So you can see how I am curious about ATON's ability to derive a
>> continuum model. Would you take the route of the reals? The context of
>> continuous juxtaposed with discrete is present here.
>
>> -Tim
>
>> Akira Bergman wrote:
>>> Yes it is a bit niched but changing fast also. I opened a blog on
>>> nothingness theory not long ago when there were only few places. Now
>>> there are many. It is moving in both directions I think. From niche to
>>> mainstream and vice/versa. Blogs have penetrated the newspapers for
>>> example. A very positive development. I love the new video bases like
>>> YouTube. Infinite potential.
>
>>> I don't really go out of my way to "spread the word". The word is
>>> there, accessible to anyone anytime. Sometimes I get a bit impatient
>>> and move around to see what can be read and said in various places. I
>>> think quality is more important than quantity. In a place like the
>>> Internet, quality would eventually shine through, hopefully fast
>>> enough. Not that I am stuck on that too much either. As long as I enjoy
>>> my day and feel positive about it, that is what counts for me,
>>> regardless of how small it is. In line with my nothingness theory in a
>>> way. If that is not good enough for the reality, too bad. If it doesn't
>>> deserve saving, it should suffer and learn. Humans for example deserve
>>> a lot of spanking at the moment.
>
>
>>>> The internet community is highly niched isn't it? I wonder what sort of
>>>> consequence that will have. Have the organic bits speciated? I like all
>>>> of what you have said in your post. We're preaching to the choir.
>>>> Perhaps we should be lurking in groups conflicting with these views in
>>>> order to exercise them. I tend to stay within physics, math, and
>>>> philosophy, only occasionally catching a thread cross-posted to
>>>> politics.
>
>>>> -Tim
I remember reading your H number theory.
As we theorize we must be willing to grant something at the base of
what we build.
The rest should ideally come for free from that slender base.
We are the consequences of a basis and so our view of the system is not
objective.
There is no guarantee of a reverse transform.
What we need is a system which in hindsight yields the necessary
conditions.
The ability to derive such a system in a forward manner might not be
possible.
The only valid assumption for this model is that such a system exists.
This assumption is not guaranteed but to procede without it makes no
sense.
All of understanding relies upon a concept of basis.
The minimal basis is always the one we seek.
The basis is a set of grants.
Whether those grants will be believable to products of them remains to
be seen.
-Tim