Investigations into Irrational Numbers, ala Pi=3.142857143




3.142857143

ADDENDUM
The randomness of my serendipities occurred last night during the 9pm-10pm 
hour and I was able to see last night-3/28/18-Nova's presentation on
 'the Great Math Mystery'. It's concluding thesis was that mathematics is quite 
likely the mental construct we have cognitively developed to account for, 
in approximation, the relationship of quantities in 'numbers'. The show didn't 
explicitly assert this, but made allusions to the idea that the computational 
formulas we use-even in physics-are a subset of a more nuanced system of 
quantitative organizing and operations in Nature.

What is it about 3.142857143... as an irrational number that makes it such the 
utility for that function? Perhaps the definition gives us the answer. Since it 
can’t be a cut and dried ratio which would have only periodic applications in 
precision, it’s quality of reaching to the great depths of nuanced indefiniteness 
allows for such.

In particular why ‘3.142857143...’ or ‘22/7’ and not some other indefinite factor?
There’s something special about ‘7’. It has special qualities as a divisor or a 
repeating quotient that can be expressed as a rational number:
100/1=100; 100/2=50; 100/3=33.3333..; 100;4=25; 100/5=20; 100/6=1.6666667 
or 1/6. But 100/7=14.28571429.....

Pi, 3.142857143, is part of the dimension, which allow for the inclusiveness 
of forms for the emergence of any variety and diversity of creation, and without which all the 
‘irregularities’ of the cosmos could not exist.
I would suggest that ‘7’ just as the function ‘3.142857143...’ in which it is a major component, 
represents an existential truth about the structure of Nature, in its numerical sense. Numbers 
and functions such as ‘7’ and ‘3.142857143’ are the lubricants for any cosmic form because 
they facilitate the limitless diversity by their indefinite operational qualities.. Without such 
diversity there couldn’t be the innovations and mutations which make possible creation.


Is it NOT surprising that the 7th element has the creative properties of 
NITROGEN:  Elemental nitrogen is a colorless, odorless, tasteless and mostly inert diatomic gas at 
standard conditions, constituting 78% by volume of Earth's atmosphere. Nitrogen occurs in all living organisms. 
It is a constituent element of amino acids and therefore of proteins and nucleic acids (DNA and RNA). 
Nitrogen is found in the chemical structure of almost all neurotransmitters and is a key component of alkaloids. 
Specific bacteria   (e. g. Rhizobium trifolium) possess nitrogenase enzymes which can fix atmospheric nitrogen 
into a form (ammonium ion) which is chemically useful to higher organisms. Animals use nitrogen-containing 
amino acids from plant sources, as starting materials for all nitrogen-compound animal biochemistry, including 
the manufacture of proteins and nucleic acids. Animal metabolism of NO (nitric oxide) results in production of 
 nitrite. Animal metabolism of nitrogen in proteins generally results in excretion of urea, while animal 
metabolism of nucleic acids results in excretion of urea and uric acid. The characteristic odor of animal flesh 
decay is caused by nitrogen-containing long-chain amines, such as putrescine and cadaverine. Decay of 
organisms and their waste products may produce small amounts of nitrate, but most decay eventually returns 
nitrogen content to the atmosphere, as molecular nitrogen. The circulation of nitrogen from the atmosphere 
through organics and then back to the atmosphere is commonly referred to as the nitrogen cycle.



Note how the ‘7’ is used in religions:
The seventh day is the day of sabbath in theistic cultures. It is more than a coincidence that 
the time for rest and reflection which would allow for the thoughts of prospective 
innovation is placed on the 7th-day‘s advent than on the days of practical and 
limit seeking toil of the first six days.  
‘#7’ might well be considered the ‘10th Amendment for Rational Calculations’. 
Instead of the U.S. Constitution’s wording, “The powers not delegated to the 
United States by the Constitution, nor prohibited by it to the States, are 
reserved to the States respectively, or to the people.”, for the sake of the 
‘Powers of ‘7’, 
 we could articulate:


Knowing this, is it so irrational to take this next step?

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