Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-07 Thread David Breecker
ed Complexity Coffee Group' Sent: Thursday, December 07, 2006 12:31 AM Subject: Re: [FRIAM] The yin and yang of numbers across cultures But, is it the 'magic' of numbers that produces the patterns or the patterns that produce the 'magic' of numbers?? big

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-06 Thread Phil Henshaw
Sent: Wednesday, December 06, 2006 12:52 PM To: friam@redfish.com Subject: Re: [FRIAM] The yin and yang of numbers across cultures There seems to be a constant about the nature of number across all cultures: that they have a magically aspect and seem to be an integral part of the nature of the

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-06 Thread Martin C. Martin
It has a geometric interpretation. But there are places where a real number line is useful beyond denoting locations & times in our universe. The original poster was saying that, where gravity warps space strongly, we would no longer use Pi. I was saying we would, since it comes up in other

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-06 Thread Eric Smith
except of course that the pi that appears in the Gaussian integral is the angular measure, by which the gaussian on the line reduces to the exponential on the plane. So is it geometric, or is it not? Eric FRIAM Applied Complexity Gr

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-06 Thread Joshua Thorp
Then there is Euler's Formula which gives: e^(i*PI) + 1 = 0 <> http://agutie.homestead.com/files/Eulerformula.htm For more about the formula, see: http://en.wikipedia.org/wiki/ Euler_formula --joshua On Dec 6, 2006, at 11:33 AM, Martin C. Martin wrote: Pi shows up in many areas that hav

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-06 Thread Martin C. Martin
Pi shows up in many areas that have nothing to do with geometry. For example, the integral of exp(-x^2) over the whole real line is sqrt(Pi). Also, the infinite series 1/1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ... = Pi/4. - Martin David Mirly wrote: > Is pi really inherent throughout the unive

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-06 Thread David Mirly
Is pi really inherent throughout the universe? Won't the concept of pi break down in the presence of sufficiently strong gravity? i.e. Euclidian plane geometry is only a good approximation for our "normal/every day" applications. On Dec 6, 2006, at 9:52 AM, [EMAIL PROTECTED] wrote: There

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-06 Thread PPARYSKI
There seems to be a constant about the nature of number across all cultures: that they have a magically aspect and seem to be an integral part of the nature of the universe. Of course some numbers seem to be more magic than others, e.g. Pi. Why numbers are inherent in the universe is anothe

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-03 Thread Robert Howard
Behalf Of Frank Wimberly Sent: Sunday, December 03, 2006 4:21 PM To: 'The Friday Morning Applied Complexity Coffee Group' Subject: Re: [FRIAM] The yin and yang of numbers across cultures Everyone’s focusing on the rainbow issue. The original observation had to do with whether even n

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-03 Thread Robert Howard
Agreed. Good catch! -Original Message- From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On Behalf Of Russell Standish Sent: Saturday, December 02, 2006 3:20 PM To: The Friday Morning Applied Complexity Coffee Group Subject: Re: [FRIAM] The yin and yang of numbers across cultures Your

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-03 Thread Frank Wimberly
> > Rob Howard > > > > -Original Message- > From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On Behalf > Of James Steiner > Sent: Saturday, December 02, 2006 9:45 PM > To: The Friday Morning Applied Complexity Coffee Group > Subject: Re: [FRIAM] The

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-03 Thread George Duncan
Rob Howard > > > > -Original Message- > From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On Behalf > Of James Steiner > Sent: Saturday, December 02, 2006 9:45 PM > To: The Friday Morning Applied Complexity Coffee Group > Subject: Re: [FRIAM] The yin

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-03 Thread Russell Standish
ent: Saturday, December 02, 2006 9:45 PM > To: The Friday Morning Applied Complexity Coffee Group > Subject: Re: [FRIAM] The yin and yang of numbers across cultures > > > > So, why was indigo worthy of inclusion, while cyan was not? > > > > ~~James > > htt

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-03 Thread Robert Howard
Message- From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On Behalf Of James Steiner Sent: Saturday, December 02, 2006 9:45 PM To: The Friday Morning Applied Complexity Coffee Group Subject: Re: [FRIAM] The yin and yang of numbers across cultures So, why was indigo worthy of inclusion

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-02 Thread James Steiner
So, why was indigo worthy of inclusion, while cyan was not? ~~James http://www.turtlezero.com (JA-86) On 12/2/06, Dede Densmore <[EMAIL PROTECTED]> wrote: > Re Pamela's reply: Me, too! Re Robert's: When I was growing up, we > learned " Roy G. Biv", a name silly enough that you weren't likely to >

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-02 Thread Dede Densmore
Re Pamela's reply: Me, too! Re Robert's: When I was growing up, we learned " Roy G. Biv", a name silly enough that you weren't likely to forget it and that definitely included indigo. Dede On Nov 30, 2006, at 7:17 PM, J T Johnson wrote: My apologies, and I seem to be pushing the evelope of

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-01 Thread Pamela McCorduck
Tom, no apologies necessary to me, at least. I love this stuff. Pamela My apologies, and I seem to be pushing the evelope of original intent for the FRIAM list, but I find this sort of "anthropology of numbers" topic an interesting problem that converges on interesting questions in how we

Re: [FRIAM] The yin and yang of numbers across cultures

2006-12-01 Thread Michael Agar
Lots of interesting number/culture stuff out there. One of my favorites are the languages with numeral classifiers, where whenever you count you have to include a bit of morphology that describes features of the objects being counted. Vaguely remember discussions of "ethno-mathematics" as w

Re: [FRIAM] The yin and yang of numbers across cultures

2006-11-30 Thread Robert Holmes
Some mistake, surely? An English rainbow has seven colours, not six. Hence the mnemonic taught to all school children "Richard of York gave battle in vain". (V for violet rather than purple). R On 11/30/06, J T Johnson <[EMAIL PROTECTED]> wrote: My apologies, and I seem to be pushing the evel