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Topic:
SF: Finally, surrogate factoring
Replies:
86
Last Post:
Jun 10, 2006 11:51 PM




Re: JSH: SF: Finally, surrogate factoring
Posted:
Jun 7, 2006 9:00 AM


On Tue, 06 Jun 2006 20:54:03 0400, Rick Decker <rdecker@hamilton.edu> wrote:
> > >Tim Peters wrote: >>[...] >> >> What I don't understand is how anything other than that outcome could be >> _hoped_ for here. No amount of rearranging and crosssubstituting the >> initial equations (whatever they may be) is going to yield new information, >> and there's never a step that even requires the quantities to be integers >> (as opposed to, e.g., arbitrary complex numbers). How can someone imagine >> that insight into integer factorization could result from this insightless >> symbolpushing? > >I think that what we interpret as obfuscation on James' part is actually >a consequence of the fact that his understanding is extremely shallow. >This is, I think, the reason that he thinks his "prime counting >function" is truly new and innovativehe really is incapable of even >the slightest bit of abstraction that to all mathematicians is as >natural as breathing.
Huh. Ya think?
Both you guys must be new here. >> As usual, I couldn't make sense of his original writeup before you showed >> the correct result of completing the square wrt y first, at which point I >> could work backward from that to deduce what you thought James was trying to >> say. Also as usual, you got that right. Therefore :) you must also know >> why he thinks this kind of approach _could_ yield something useful. >> >See above. The kind of selfediting we're accustomed to by inclination >and training is something he simply doesn't get. For example, a tiny bit >of thinking makes it obvious that no matter what collection of linear >equations one starts with, as long as they have a unique solution >the end result of the "small mountain of tedious manipulation" will >be the completely unsurprising T = g_1 * g_1, which we knew from the >start.
************************
David C. Ullrich



