To know about numbers is mathematics.
In an earlier post you wrote about languages (with reference to Hayakawa).
Try to think mathematics as a language - a system of description. Objects exist 
whether there are Bobs to describe them - and have attributes.
Your beloved snowflake is there (or is not) and has its attributes, it is the Bobs 
that describe it as having 6 six sides and/or being a snowflake. Both descriptions are 
valid - within the very system of description, in binary system the snowflake has 100 
sides and in Finnish it is not called snowflake at all.
QOD: there are no numbers in nature (and the concept of numbers is meaningless outside 
mathematics). One would think that for a photographer it would be easy to see the 
difference between the object and a photograph of it (a description of the object).
All the best!
Raimo
Personal photography homepage at http://www.uusikaupunki.fi/~raikorho

-----Alkuper�inen viesti-----
L�hett�j�: Bob Blakely <[EMAIL PROTECTED]>
Vastaanottaja: [EMAIL PROTECTED] <[EMAIL PROTECTED]>
P�iv�: 29. joulukuuta 2002 23:34
Aihe: Re: Numbers and the Golden Section


>It is clear that we are not communicating. I have no idea why an object has
>to know anything about it's attributes for it to have those attributes.
>
>Again, nothing helpful - as usuall.
>
>Bob....
>--------------------------------------------------------------------
>"Beer is proof that God loves us and wants us to be happy!"
>   - Benjamin Franklin
>
>From: "Raimo Korhonen" <[EMAIL PROTECTED]>
>
>> No, even if there are 6 sides in a number of snowflakes, the number is not
>there. The snowflake does not know it and neither does the water vapour it
>is formed of. I might be wrong but we have a lot of snow here sometimes -
>but no snowflake with any number has been observed.
>> And "the universal constant of gravitation can be calculated" - yeah,
>sure, anything can be *calculated* - but it�s not those uranium balls (i.e.
>nature) doing the calculations (and how do you find uranium balls in nature,
>anyway).
>> I think it would be helpful to photography if we could look at it just as
>it is - painting by numbers has not advanced art very much. IMHO it is the
>content which proves a photo good or not-so-good.
>> All the best!
>> Raimo
>> Personal photography homepage at http://www.uusikaupunki.fi/~raikorho
>>
>> -----Alkuper�inen viesti-----
>> L�hett�j�: Bob Blakely <[EMAIL PROTECTED]>
>> Vastaanottaja: [EMAIL PROTECTED] <[EMAIL PROTECTED]>
>> P�iv�: 29. joulukuuta 2002 22:07
>> Aihe: Re: Numbers and the Golden Section
>>
>>
>> >I'm not sure I understand what you wrote but I'll give it a try.
>> >
>> >> Tell me one instance when a number has been observed in the nature.
>> >
>> >A undisturbed snowflakes (part of nature) have 6 (a number) sides, why.
>> >
>> >When dropping a dense (to reduce the part played by friction) object
>(things
>> >fall in nature as in apples from trees) they are observed to accelerate
>at
>> >32.17 feet per second per second.
>> >
>> >When two large, dense (lead or uranium) balls are hung side by side but
>not
>> >touching, the universal constant of gravitation can be calculated.
>> >
>> >Various sunflowers have a differing numbers of seed spirals. The number
>is
>> >always, not usually, always a Fibonacci number.
>> >
>> >> Lots of numbers can be found in the observations of nature which
>> >> describe it - but these numbers are just descriptions. The laws are
>> >> calculated afterwards.
>> >
>> >This would not make the laws invalid, however it's not always this way.
>> >Maxwell's Laws predicted all sorts of things never observed in nature at
>the
>> >time but which I now use in predicting electromagnetic propagation and in
>> >designing antennas.
>> >
>> >Einstein's Theory of Relativity was based on his notion that the speed of
>> >light is constant regardless of the motion of the observers, a fact not
>> >shown (measured) until after it was published. The mathematics predicted
>> >strange things never before observed in nature but which were observed in
>> >nature afterward. Things such as dilation of time, increase of mass in
>> >objects as they are accelerated to within significant fractions of the
>speed
>> >of light, the bending of light as it travels past a massive object.
>> >
>> >It usually works the other way around because of the nature of man. We
>look
>> >at something and wonder to ourselves... why? How much? This is due
>entirely
>> >to the nature of man, not to the numbers later observed in nature.
>> >
>> >Now, many of us have observed that some art is held in high regard in
>nearly
>> >all cultures and has weathered the exceptionally well over time. Not
>being
>> >arrogant bastards, (at least in this respect) it is natural for us to ask
>> >the question... why?
>> >
>> >Some have offered time accepted starting points (helpful). Others post
>only
>> >to tear down (not helpful). Perhaps you would now care to be helpful,
>> >instead of wasting bandwidth with questions whose answers, in any form,
>true
>> >or false, cannot aid folks trying to improve themselves.
>> >
>> >Hell, I'm asking the question! Are you up to it?
>> >
>> >Regards,
>> >Bob....
>> >--------------------------------------------------------------------
>> >"Beer is proof that God loves us and wants us to be happy!"
>> >   - Benjamin Franklin
>> >
>> >----- Original Message -----
>> >From: "Raimo Korhonen" <[EMAIL PROTECTED]>
>> >To: <[EMAIL PROTECTED]>
>> >Sent: Sunday, December 29, 2002 10:47 AM
>> >Subject: Vs: Numbers and the Golden Section
>> >
>> >
>> >> It is the other way round. Tell me one instance when a number has been
>> >observed in the nature. Lots of numbers can be found in the observations
>of
>> >nature which describe it - but these numbers are just descriptions. The
>laws
>> >are calculated afterwards.
>> >> Next you will be arguing that nature follows photographs?
>> >> All the best!
>> >> Raimo
>> >> Personal photography homepage at http://www.uusikaupunki.fi/~raikorho
>

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