[lit-ideas] Re: Tmesis, Crepuscular, Maieutic

  • From: "Mike Geary" <atlas@xxxxxxxxxxxxx>
  • To: <lit-ideas@xxxxxxxxxxxxx>
  • Date: Sat, 11 Oct 2008 00:46:15 -0500

JK:
>>If, and I repeat IF the reality of this syzygy thing is to draw attention to 
>>a theoretical in which multiplying known realities results in a known realty 
>>of nothing, 0, nill, I am VERY interested.  It would be a beautiful example 
>>of inverted spheres, tzim-tzum, and self-recreating spirals<<

Yeah, right.  I forgot about all that.

Mike Geary
Memphis



  ----- Original Message ----- 
  From: Julie Krueger 
  To: lit-ideas@xxxxxxxxxxxxx 
  Sent: Friday, October 10, 2008 9:03 PM
  Subject: [lit-ideas] Re: Tmesis, Crepuscular, Maieutic


  Not a sedative, Mike!  Not even a soporific!  A stimulant!

  If, and I repeat IF the reality of this syzygy thing is to draw attention to 
a theoretical in which multiplying known realities results in a known realty of 
nothing, 0, nill, I am VERY interested.  It would be a beautiful example of 
inverted spheres, tzim-tzum, and self-recreating spirals

  (and kinda reminiscent of square roots of negative numbers and some aspects 
of quantum physics and then there's the whole Fibonacci thing going on, which 
absolutely HAS to have something integral (pardon the pun) to do with all of 
this, a mirror example, perhaps, or human notions of math are simply shallow 
and discardable..


  On Fri, Oct 10, 2008 at 2:11 PM, Mike Geary <atlas@xxxxxxxxxxxxx> wrote:

    palma:


         syzygy is

    a relation between the generators of a module M. The set of
    all such relations is called the "first syzygy module of M." A relation
    between generators of the first syzygy module is called a "second
    syzygy" of M, and the set of all such relations is called the "second
    syzygy module of M." Continuing in this way, we get the n-th syzygy
    module of M by taking the set of all relations between generators of the
    (n-1)th syzygy module of M. If M is finitely generated over a polynomial

    ring over a field...<<

    [zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz]

    Thank you for that, palma.

    All this time I thought that 'syzygy' was just the highest scoring word in 
Scrabble without using a standard vowel.  You live and learn.  I had no idea 
syzygy was also a sedative.

    Mike Geary
    Memphis


    ----- Original Message ----- From: "palma" <palma@xxxxxxxx>
    To: <lit-ideas@xxxxxxxxxxxxx>
    Cc: <cblists@xxxxxxxx>; "Eric Yost" <mr.eric.yost@xxxxxxxxx>; "Julie 
Krueger" <juliereneb@xxxxxxxxx>; <lit-ideas-bounce@xxxxxxxxxxxxx>; 
<lit-ideas@xxxxxxxxxxxxx>; <lit-ideas@xxxxxxxxxxxxx>; <wokshevs@xxxxxx>
    Sent: Friday, October 10, 2008 8:24 AM
    Subject: [lit-ideas] Re: Tmesis, Crepuscular, Maieutic



    when you generate a module you can use different ways to do it::



    a simple def



     syzygy is
    a relation between the generators of a module M. The set of
    all such relations is called the "first syzygy module of M." A relation
    between generators of the first syzygy module is called a "second
    syzygy" of M, and the set of all such relations is called the "second
    syzygy module of M." Continuing in this way, we get the n-th syzygy
    module of M by taking the set of all relations between generators of the
    (n-1)th syzygy module of M. If M is finitely generated over a polynomial
    ring over a field, this process terminates after a finite number of
    steps; i.e., eventually there will be no more syzygies (see Hilbert's
    syzygy theorem). The syzygy modules of M are not unique, for they depend
    on the choice of generators at each step.



    On Fri, 10 Oct 2008, Julie
    Krueger wrote:


      http://news.bbc.co.uk/2/hi/uk_news/magazine/7659954.stm

      If anyone *understands *the mathematical meaning of *syzygy, *oh do let me
      know...

      -- 
      Julie Krueger

      Visit www.VoteForChange.com. Register to vote and help spread the word.



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  Julie Krueger

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