On Saturday, October 8, 2016 at 7:20:08 PM UTC+3, bassam king karzeddin wrote:
> The mathematics had been broken by the death of (Pi)
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> With so much sorrows, (pi) had been shown passing away from the real numbers for ever
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> I don't know if it is a good news or bad news, but certainly shocking and not a Joke!?
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> The fact must rule the situation regardless of our own needs or desires, and true followers of all mind kind are responsible for the huge consequences to come, where others are free to cry, even though, this may not be noticed by the outside world at all, since this doesn't mean anything for almost everyone, because mathematics was living for many centuries on the imaginations alone in the darkness
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> (Pi) was born few thousand years back when ancient mind kind from all civilization of our world started noticing its consistency as a (ratio of circumference of any circle to its diameter)
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> They assumed (pi) as a real number, (it was impossible for them and even for us today, to consider it as something else!), it was the first deceptional hint to what is really a real number means
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> They knew (pi) was difficult to calculate exactly, but tried to approximate it to a rational number as (22/7) in order to calculate approximately the area of a circle,
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> Many formulas had been developed during thousands of years up to today and most likely tomorrow, to make it more accurate, where they could find many trillions of its decimal digits in any constructible base number system, with the help of supercomputers nowadays, but still this will be forever a little approximation
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> Despite all those formulas are good approximations for calculating the area of a circle, but useless to define what is actually (pi), due to its infinite size of its digits, since it was proved to be real transcendental number with endless terms
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> The ancient Greek mad the crucial major steps by proving the impossibility of constructing (pi) on the real line number, same they did for the cube root of two, but they never knew WHY?, or even considered or concluded the nonexistence of (pi) on the real line number, because of the complete mind deception mainly of (pi) and the needs of it to calculate the area of the circle
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> The main deception lies on rounding a full circle with a diameter say unity on a straight line after marking a point of start, then it would come back to the same point marking (pi) on the line, but if you try to measure the distance traveled by the marked point precisely on the real line number, you wont be able to see more than few digits of accuracy, since this actually a regular polygon with many finite sides that is extremely hard to be noticed by simple observation
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> The digits of accuracy you obtain are only or simply a constructible number, to see more digits of accuracy you would need to enlarge your circle radius indefinitely
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> Ultimately if you consider the radius of a circle infinite, still, it is impossible to mark (pi) on the real line number, since (pi) is simply impossible to be at any exact location on the real line number by definition (non ending number), even at whichever infinity you like.
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> It is actually the same when you are trying to locate an integer (say positive), with infinite sequence of digits, with no terminating infinite sequence of digits “zeros” to the Left, (where this is impossible to locate on the real line number) & we don't accept it as a number (it is outward endless process)
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> But, here in our case of (pi) or (any positive integer with endless digits after the decimal notations to the right, with no termination of infinite sequence of digits “zeros” to the Right of decimal notation, is very similar situation but (inward endless process) in infinitesimal direction, where it is impossible to be located it on the real line number
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> Thus, we must not accept it as a real number any more, exactly the same way we don't accept the infinite sequence of integers as a real number (explained above),
> Otherwise, mathematics is becoming an interesting game just like chess, where this would certainly ruin other sciences especially physics
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> Unlike any constructible number that occupies an exact position on the real line number by finite steps, thus (pi) is “unreal number” or “illusion” or “nonexistent number” or “factious number” or “distinct infinity” or “distinct infinite sequence of digits and a decimal dot”, …etc
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> I tried hard to see the fact of (pi) clearly on the real number line by a very little idea, (in any constructible base number system – say base 10 for simplicity),
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> The idea was very simple, whenever you get a digit moving towards (pi) in increasing order and one direction from Left to Right on the real line number, enlarge your real number line by (10) times in order to see the next digit at the same accuracy you see the previous digit
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> After only finite number of digits of (pi), I got tired, and there, I noticed that my number line is becoming longer than our Milky Way galaxy, but still only a constructible number and not (pi) itself.
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> I realized then, what I was holding at each step is only a constructible number, it is impossible to catch (pi) even at whichever infinity you like, because simply it is (endless), not there in any position of the real number line, it was a very deceptive journey I ever made,
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> The ancient mathematician were wiser, they never accepted a number without a rigorous proof as the square root of number two, (except for (pi), because the needs of (pi) and the very deep mind deception, that was impossible to be noticed)
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> Otherwise they could simply assume very little ideas as “let the square root of (-1) be something like (i), and let it be imaginary, since there cant be a real number, where if multiplied by itself would give you back (-1), everything must be consistence, and, then they could produce simply all the subsequent mathematics out of that little assumption within a short period of time.
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> They were much wiser when they didn't accept the cube root of two as a number, with rigorous proof that was an impossible number on the real line number by proving rigorously the impossibility of doubling the cube even at infinity;
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> Otherwise they would solve the cubic equation and many more, by assuming so simply “let it be cube root of two be a real number, such that a number if multiplied by itself trice would yields back two” and carry on the silly game by approximation, limits, intermediate, convergence, famous cuts,... etc
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> But, strangely, in the Middle Ages they accepted the cube root of two as being a real number (even with old warning of ancient Greek or Euclidean of the most famous rigorous proof that is impossible number even at whichever infinity you like,
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> Which opened the doors too widely to solve the general cubic equation and much more, where actually this is still unsolved and will remain so because it was proved rigorously?
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> By committing this huge fundamental mistake deliberately, they couldn't prevent infinitely many fake and non-existent numbers to be regarded as real numbers on the real line number up to this date and most likely tomorrow (that are impossible to exist on the real line number), as the same analysis of nonexistence of (pi) or the cube root of two, would be also applicable for any irrational number that is non constructible and also applicable for any infinite decimal representation of any constructible number, on the real line number?
> Mathematics in the middle ages and up to date had been developing very good tools of approximations for practical life problems, where those tools mustn't be used at all to yields theorems
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> Such tools are (limits, convergence, infinity, intermediate theorem, famous cuts, Newton’s approximations, and many more)
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> The fundamental huge mistake they fall in, is simply considering or approximating (1/x) = 0, when x is infinite number, one might ask then, what (0/x) is, or (n/x), …?, (where this is so good for solving practical problems on earth as approximating, (I repeat: Approximating) the area of a circle for example, but not at all valid tools to produce infinitely many meaningless theorems or results. That is quite similar of chess games, apparently, consistent and may be interesting for entertainment only!
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> By this illogical consideration, it becomes so easy then to produce infinitely many baseless theorems that extended to the universe & infinitely many universes that exist only on the mathematician's minds.
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> Pure Mathematics doesn't require any approximations to discover theorems even at infinity, but only exactness (and nothing else)
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> Such approximation is really ridiculous and very silly to follow,
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> They simply make (1=0), or odd = even, or generally (n=m), even they are coprime integers!?
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> All those silly games just to justify more baseless mathematics that is expanding indefinitely and misleading all other branches of sciences especially physics, therefore, it is justifiable for other branches of sciences “especially physics” to take the role of mathematics, for being more realistic, or each branch of science may develop its own mathematics separately and away of hallucination of the professional mathematicians
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> But, still mathematics is very beautiful and there are very good challenges especially in number theory that are thousands or centuries of years old that had been incomprehensible by all mathematicians up to this date, because it needs a truly mind kind, (not necessarily professional mathematicians), or may be in need of a more developed artificial intelligence to solve
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> Governments and other branches of sciences of the world must help the mathematicians to wake up from those fantasia dreams that are wasting of human resources and themselves, and direct them to what is actually useful
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> A very little common sense theorem says: “for any positive real number less than one, and with infinite sequence of digits in any constructible base number system, is a fake & non existing number on the real line number, provided that is not terminated with infinite sequence of digits zeros”
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> Back to (pi) to say good bye (pi)
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> We would live in your memory for ever (pi), and your soul would keep saying always as ever (I’m here but not here, and you would never catch me, because I’m simply an illusion living only in your mind kind, but a ghost that never existed, there are also infinitely many as me, and you would never be able to catch only one)
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> Good bye (pi)
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> Best Regards and thanking your tolerance on my opinions in this regard
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> Bassam king Karzeddin
> 8TH, Oct. 2016