The yin and yang of numbers across cultures
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The yin and yang of numbers across cultures
 
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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 another interesting question considering wave and field theory. Magic? cheers Paul Paryski -------------- next part -------------- An HTML attachment was scrubbed... URL: /pipermail/friam_redfish.com/attachments/20061206/dfe74f81/attachment.html |
The yin and yang of numbers across cultures
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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, PPARYSKI at aol.com wrote: > 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 another interesting question > considering wave and field theory. Magic? > > cheers Paul Paryski > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > lectures, archives, unsubscribe, maps at http://www.friam.org -------------- next part -------------- An HTML attachment was scrubbed... URL: /pipermail/friam_redfish.com/attachments/20061206/ca06ae8b/attachment.html |
The yin and yang of numbers across cultures
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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 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, PPARYSKI at aol.com <mailto:PPARYSKI at aol.com> > wrote: > >> 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 another interesting question considering wave and field >> theory. Magic? >> >> cheers Paul Paryski >> ============================================================ >> FRIAM Applied Complexity Group listserv >> Meets Fridays 9a-11:30 at cafe at St. John's College >> lectures, archives, unsubscribe, maps at http://www.friam.org > > > ------------------------------------------------------------------------ > > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > lectures, archives, unsubscribe, maps at http://www.friam.org |
The yin and yang of numbers across cultures
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Then there is Euler's Formula which gives: e^(i*PI) + 1 = 0
-------------- next part -------------- A non-text attachment was scrubbed... Name: euler_e_i_pi_1.jpg Type: image/jpeg Size: 38865 bytes Desc: not available Url : /pipermail/friam_redfish.com/attachments/20061206/e9d46d80/attachment-0001.jpg -------------- next part -------------- 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 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 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, PPARYSKI at aol.com >> <mailto:PPARYSKI at aol.com> >> wrote: >> >>> 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 another interesting question considering wave and field >>> theory. Magic? >>> >>> cheers Paul Paryski >>> ============================================================ >>> FRIAM Applied Complexity Group listserv >>> Meets Fridays 9a-11:30 at cafe at St. John's College >>> lectures, archives, unsubscribe, maps at http://www.friam.org >> >> >> --------------------------------------------------------------------- >> --- >> >> ============================================================ >> FRIAM Applied Complexity Group listserv >> Meets Fridays 9a-11:30 at cafe at St. John's College >> lectures, archives, unsubscribe, maps at http://www.friam.org > > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > lectures, archives, unsubscribe, maps at http://www.friam.org |
The yin and yang of numbers across cultures
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In reply to this post by Martin C. Martin-2
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 |
The yin and yang of numbers across cultures
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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 ways. - Martin Eric Smith wrote: > 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 Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > lectures, archives, unsubscribe, maps at http://www.friam.org |
The yin and yang of numbers across cultures
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In reply to this post by Paul Paryski
But, is it the 'magic' of numbers that produces the patterns or the
patterns that produce the 'magic' of numbers?? big difference it seems to me. Phil Henshaw ????.?? ? `?.???? ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 680 Ft. Washington Ave NY NY 10040 tel: 212-795-4844 e-mail: pfh at synapse9.com explorations: www.synapse9.com <http://www.synapse9.com/> -----Original Message----- From: [hidden email] [mailto:[hidden email]] On Behalf Of PPARYSKI at aol.com Sent: Wednesday, December 06, 2006 12:52 PM To: friam at 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 universe. Of course some numbers seem to be more magic than others, e.g. Pi. Why numbers are inherent in the universe is another interesting question considering wave and field theory. Magic? cheers Paul Paryski -------------- next part -------------- An HTML attachment was scrubbed... URL: /pipermail/friam_redfish.com/attachments/20061207/0789ed91/attachment.html |
The yin and yang of numbers across cultures
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MessageExactly. I've always thought numbers are just another of our perceptual mechanisms (albeit an incredibly elegant one) that only captures part of the magic that is "actually" out there. Interestingly, this maps well to the rainbow idea that was on this thread: the colors are continous, but our perceptual mechanism breaks them down into discrete bands.
db dba | David Breecker Associates, Inc. www.BreeckerAssociates.com Abiquiu: 505-685-4891 Santa Fe: 505-690-2335 ----- Original Message ----- From: Phil Henshaw To: 'The Friday Morning Applied 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 difference it seems to me. Phil Henshaw ????.?? ? `?.???? ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 680 Ft. Washington Ave NY NY 10040 tel: 212-795-4844 e-mail: pfh at synapse9.com explorations: www.synapse9.com -----Original Message----- From: friam-bounces at redfish.com [mailto:friam-bounces at redfish.com] On Behalf Of PPARYSKI at aol.com Sent: Wednesday, December 06, 2006 12:52 PM To: friam at 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 universe. Of course some numbers seem to be more magic than others, e.g. Pi. Why numbers are inherent in the universe is another interesting question considering wave and field theory. Magic? cheers Paul Paryski ------------------------------------------------------------------------------ ============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College lectures, archives, unsubscribe, maps at http://www.friam.org -------------- next part -------------- An HTML attachment was scrubbed... URL: /pipermail/friam_redfish.com/attachments/20061207/3d620ff0/attachment.html |
The yin and yang of numbers across cultures
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One might say that perception, which is a prerequisite for consciousness, in
any mapping function from a continuous space to a discrete space. And for that matter, a thermostat perceives because it takes a continuous space of heat and maps it to the discrete space of ON or OFF. There was the old saying that God invented the Integers; man invented everything else. But I wonder if it?s not the other way around. When discrete space gets so small, in the Planck range, to us macroscopic things, it?s pretty much a continuum. Perhaps that?s why Relativity Mechanics is easier to understand than Quantum Mechanics. Do not the sigmoid functions of our neurons map a continuum to a finite set?namely language? Robert Howard Symmetric Objects Inc. _____ From: [hidden email] [mailto:[hidden email]] On Behalf Of David Breecker Sent: Thursday, December 07, 2006 11:57 AM To: sy at synapse9.com; The Friday Morning Applied Complexity Coffee Group Subject: Re: [FRIAM] The yin and yang of numbers across cultures Exactly. I've always thought numbers are just another of our perceptual mechanisms (albeit an incredibly elegant one) that only captures part of the magic that is "actually" out there. Interestingly, this maps well to the rainbow idea that was on this thread: the colors are continous, but our perceptual mechanism breaks them down into discrete bands. db dba | David Breecker Associates, Inc. www.BreeckerAssociates.com Abiquiu: 505-685-4891 Santa Fe: 505-690-2335 ----- Original Message ----- From: Phil Henshaw <mailto:[hidden email]> To: 'The <mailto:friam at redfish.com> Friday Morning Applied 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 difference it seems to me. Phil Henshaw ????.?? ? `?.???? ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 680 Ft. Washington Ave NY NY 10040 tel: 212-795-4844 e-mail: pfh at synapse9.com explorations: www.synapse9.com <http://www.synapse9.com/> -----Original Message----- From: [hidden email] [mailto:[hidden email]] On Behalf Of PPARYSKI at aol.com Sent: Wednesday, December 06, 2006 12:52 PM To: friam at 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 universe. Of course some numbers seem to be more magic than others, e.g. Pi. Why numbers are inherent in the universe is another interesting question considering wave and field theory. Magic? cheers Paul Paryski _____ ============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College lectures, archives, unsubscribe, maps at http://www.friam.org -------------- next part -------------- An HTML attachment was scrubbed... URL: /pipermail/friam_redfish.com/attachments/20061210/f7738fd9/attachment-0001.html |
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