Re: SF: Areas of confusion, infinity

From: fishfry (BLOCKSPAMfishfry_at_your-mailbox.com)
Date: 04/15/05 

Date: Thu, 14 Apr 2005 19:08:21 -0700

In article <1113505110.452759.219270@g14g2000cwa.googlegroups.com>,
 jstevh@msn.com wrote:

> One of the problems with surrogate factoring in terms of understanding
> it, is that it utilizes infinite sets, notably the set of rationals.
>

Well yeah, that really confuses mathematicians when you have to talk
about infinite sets like the rationals.

> The naive view is that since in the set of rationals every number
> except 0 is a factor of every other number that you can't use it in
> factoring, which may be why I discovered the surrogate factoring
> theorem, while others did not, as it necessarily has to use rationals
> because of equations like
>
> yz^2 - Az + j^2 = 0
>
> and I say the naive view as I've already proven that is is naive with
> the surrogate factoring theorem.

Run-on sentence notwithstanding, it would be incredibly helpful if you
would just post a simple example. Say, M = 14. Can your method factor
that into 2*7? Show us how and it would help us to follow your argument.

Relevant Pages

  • Re: SF: Areas of confusion, infinity
    ... One of the problems with surrogate factoring in terms of understanding ... it, is that it utilizes infinite sets, notably the set of rationals. ... Well, the surrogate factoring theorem links rational factorizations, ... The mathematics then gives you factors in exchange. ...
    (sci.crypt)
  • SF: Areas of confusion, infinity
    ... One of the problems with surrogate factoring in terms of understanding ... it, is that it utilizes infinite sets, notably the set of rationals. ... Well, the surrogate factoring theorem links rational factorizations, ... The mathematics then gives you factors in exchange. ...
    (sci.crypt)
  • Talking Rationally About Surrogate Factoring
    ... As a lot of you probably know, James Harris has been talking a lot ... about "surrogate factoring", an idea he has been looking at. ... ring of rationals, so he wants to make a differentiation between ... find a non-trivial rational divisor of M. ...
    (sci.crypt)
  • Re: SF: Areas of confusion, infinity
    ... > notably the set of rationals. ... choosing any integer is the same as the probability of any other ... That's what make the factoring problem interesting, i.e., not ... > is naive with the surrogate factoring theorem. ...
    (sci.crypt)
  • Re: Factoring, SF, and transforms
    ... Why not call the transform the "Surrogate Factoring Transform" instead? ... > rationals every number but 0 is a factor of every other ... > That's the power of training and education to block ...
    (sci.crypt)