Post by: the5thforce on 08/02/2016 10:52:04
even a perfect circle has no symmetry: 3.14159265359... ∞
the uncertainty principle in physics and godel’s incompleteness theorem in math is a reflection of pi itself, an imperfect circle is asymmetrical and a perfect circle is undefined thus all ‘real’ circles are asymmetrical and all lines are sections of an imperfect circle. pi is infinitely uncertain/incomplete, the purely abstract concept of a perfect circle is itself the singularity which creates the real imperfect multiverse- infinitely expanding pi.
pi is infinitely complex and infinitely paradoxical, the only thing both stable and unstable enough to generate consciousness, pi is the only perfectly unstable-symmetry(perfectly stable by being perfectly incomplete), pi is the only incomplete fractal, the only fertile contradiction.
each new digit of pi is simultaneously a new symmetry and a new symmetry break defining a completely new imperfect circle out of the image of the perfect singularity
pi=O, pi=(singularity), pi=perfectly-incomplete(duality), pi=singularity-duality(trinity), pi=3.14159265359..., pi=∞
Post by: guest39538 on 08/02/2016 11:29:29
3.14159265359
Pi stands for 3.14159265359 and of course it is not symmetrical or complete until used in the equation with radius added. Pi is a constant ratio, Pi is not a circle in a stand alone position.
Post by: Colin2B on 08/02/2016 16:36:25
Pi stands for 3.14159265359 and of course it is not symmetrical or complete until used in the equation with radius added. Pi is a constant ratio, Pi is not a circle in a stand alone position.Good point Mr Box
the uncertainty principle in physics .......... is a reflection of pi itself,No, it relates to complementary variables not
Post by: evan_au on 08/02/2016 20:43:25
Quote from: the5thforce
pi=perfectly incompletepi is the Greek letter "π", equivalent to our English "p".
This symbol is used to represent the ratio of diameter to circumference of a circle, but also turns up in many places in mathematics.
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a perfect circle has no symmetryI disagree; a perfect circle is perfectly symmetrical.
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pi is infinitely uncertainI suggest that every digit of pi is completely predictable.
That does not imply that we know everything about pi; for example, it is not clear if every possible finite number appears somewhere in the decimal expansion of pi.
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pi is infinitely complex and infinitely paradoxical...Many of the same things could be said of any irrational number (http://en.wikipedia.org/wiki/Irrational_number)- and there are infinitely many of them to play with.
Try √2=1.414213562373...
Try e= 2.7182818284590....
Try φ=1.6180339887.....
In fact, there are more irrational numbers to play with than there are digits in pi to play with....
That's why mathematicians enjoy their work so much!
Post by: alancalverd on 08/02/2016 22:26:59
pi is infinitely complex and infinitely paradoxicalIt is neither complex (it is entirely a real number) nor paradoxical. It just happens to be irrational, i.e. cannot be expressed as the ratio of two integers. So what?
Post by: Bill S on 09/02/2016 12:08:50
Quote from: evan
That's why mathematicians enjoy their work so much!
Quote from: Alan
So what?
So – perhaps it’s a matter of enjoying playing with figures. Mathematicians may endlessly discuss things like 0^0=0 or 0^0=1, which to the rest of the world seem inconsequential. Why, then, should, the5thforce not enjoy playing with Pi? We should just remember that this is imaginative philosophy, not maths or science.
Go for it “Force”, but don’t expect too much enthusiasm on a science forum. [:)]
Post by: Colin2B on 09/02/2016 12:24:11
... We should just remember that this is imaginative philosophy, not maths or science.As you say, this is a science forum not a philosophy forum.
Go for it “Force”, but don’t expect too much enthusiasm on a science forum. [:)]
However, the least he could do would be to base his ideas on solid principles, eg pi has nothing to do with uncertainty principle, that assumption isn't even good philosophy!
Post by: lightarrow on 09/02/2016 18:33:56
pi=perfectly incompleteJust a question: did you take phrases at chance and pasted them together?
even a perfect circle has no symmetry: 3.14159265359... ∞
the uncertainty principle in physics and godel’s incompleteness theorem in math is a reflection of pi itself,
...
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lightarrow
Post by: lightarrow on 09/02/2016 18:56:47
π could be defined as other real numbers (like the number "e") are defined, with an infinite series, e.g.:
π = sqrt(12)∑{k=0, k=∞} (-3)-k/(2k+1)
https://en.wikipedia.org/wiki/Approximations_of_%CF%80
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lightarrow
Post by: alancalverd on 09/02/2016 22:55:06
You can indeed calculate π from an infininte series but, as with the one quoted by lightarrow, since the series is multiplied by a constant, that doesn't define π, which is a fundamental constant. The series derives from the properties of π, not the other way round. unlike e, which is indeed defined by a series and derives its properties from that series.