Difference between pages "The Ultimate Proof" and "Complex numbers"

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(Created page with "Today I am writing about the ultimate math proof. There are many interesting questions at stake here. On the one hand, there is one or more epsilons to be defined for the co...")
 
(The absolute theory and the complex numbers)
 
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Today I am writing about the ultimate math proofThere are many interesting questions at stake hereOn the one hand, there is one or more epsilons to be defined for the continuity of functionsOn the other hand, it is also about the question of whether the eternal add with one or whether the eternal divide by 2 continues ad infinitum.
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== history ==
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i is the square root of -1.  For a long time, roots of negative numbers were considered undefined, until you went there and simply said that the root of -1 was i, the imaginary numberEven modern pocket calculators sometimes show an error with negative rootsWith i you could continue to calculate and quickly develop the complex numbers.  The complex numbers have a real and an imaginary part.  A complex number c1 is equal to (r * i, s).  So you no longer have simple numbers, but a vector.  The complex numbers form a body with regard to addition and multiplication, but according to the previous view this is not orderedThe order properties fail, it is believed, because i would be neither positive nor negative, so that a relation like <or> would not be applicable.
  
Historically, Max Planck in particular has dealt with this questionAt that time he did not like his own discovery, Planck's quantum of actionIt contradicts the mathematical common sense that everything there is can be shared againThe quantum is only valid in atomic theory, but its existence means that it is preserved as a difference even in infinity.
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== The absolute theory and the complex numbers ==
 +
So far it's just an idea and almost pure speculation: The numbers that I defined for the [[Division by Zero]] always played a life of their own.  Recently I've been discovering that it is possible that they are not as different from complex numbers as I always thought.  The assumption is 0 * 0 = -1, i.e. i = 0. On the one hand, this results from the consideration that infinitely times 0 comes close to 1 and can also be referred to as epsilon, the number that is greater than 0  , but smaller than any real number so far.  According to the field axioms, 1 * 0 would be exactly the zero element and everything <1 * 0 would then go into the imaginary area, i.e. in particular 0 * 0 = -1It should be noted that by 1 I always mean the ones element, i.e. the smallest possible non-imaginary number in the number set.  This can be illustrated physically using the [[quantization]]On the other hand, the assumption arises that i would be equal to 0 in the sense of my newly defined zero elements from physicsAfter the [[anti-proportionality of locomotion and mass]] the energy for [[faster than light speed]] moves into the area of ​​the zero elements, but according to Einstein and Minkowski it moves into the imaginary area.  For a long time I thought that was a contradiction, but as always it was only an apparent one that leads to a greater truth.
  
Now for the proof:
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It would also result from this that the complex numbers would be an ordered field, because i = 0 = + 0 and n * i> = 0, with n * i> m * i for n> m.  This is how you could order the numbersUnfortunately, there are also new contradictions with this idea, for example 1 / i = -i, which would mean that 1/0 = -0.  And that brings me completely into the devil's kitchen, because then the difference between 0 and infinity, and also the difference between positive and negative values ​​in these two areas, could disappearLet's see what greater truth is behind it.
We take the unlimited amount of everything.  This set contains the set of all relations as a subsetThis set in turn contains the relation of the limitedness of the set of everythingThis is a clear contradiction, from which it follows that every non-self-contradicting, i.e. well-defined, set is restricted.
 
  
Furthermore, if we can usefully apply the completeness axiom to a set, so that there are meaningful greater or equal relations, there is an upper and a lower boundSo this proof also serves as proof of God as the uppermost limit, regardless of what properties he has.  The epsilon is then e.g3 - 2,99999999 .... And there is only oneAccordingly, there is a highest number.  Inevitably, this upper number must result in relation to itself and thus be the ones element with regard to multiplicationContrary to my habit, I quote Kurt Cobain here: all in all is all we areSo everything divided by everything results in everything.
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== Further development of this idea via the complex numbers ==
 +
In the meantime, I don't think it's so improbable that 1/0 = -0 in the sense that 1 / i = -i.  With that one would of course have to give up the idea that infinity is the reciprocal of 0.  But that too can result from the logical formulationIf we define all times as infinite, and something happens once, then it happened and not zero.  The phrase "once is never" would then not applyI already have a good formulation for 0 * 0 = -1, but in the form 1 * 0 * 1 * 0 = -1 <=> 0 (1) * 0 (1) = -1. If you don't have something this one time, then you have something this one time, i.e. 1. Then there is the new problem that something would be 1 and not -1, but I think with a little time I'll get that too  solved.  For [[Multiply by zero]], I also omit the relevant reference.
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== Complex numbers and derivatives ==
 +
A nice connection that would result from this idea is the calculation of the abilitiesSo f (x + i) / i = f (x + i) * -i in the real part is the first derivative of f (x), namely f '(x).  Here there is a problem with cubic equations that i ^ 4 would no longer be +1.  This is difficult to determine on the number line because I always equate 0 with +0As a result, the jump from -0 to 1 can be too far, and this also applies to the derivativesYou would then always have to calculate the power of i according to your own power rules, because then it does not apply that i ^ 4 = i² * i² = -1 * -1 = +1.  But here I have come to the last question of all body axiomsNamely, it makes sense to distinguish between + and -, male and female, positive and negative, and how, if so, do you do it correctly.

Latest revision as of 16:35, 18 September 2020

history

i is the square root of -1. For a long time, roots of negative numbers were considered undefined, until you went there and simply said that the root of -1 was i, the imaginary number. Even modern pocket calculators sometimes show an error with negative roots. With i you could continue to calculate and quickly develop the complex numbers. The complex numbers have a real and an imaginary part. A complex number c1 is equal to (r * i, s). So you no longer have simple numbers, but a vector. The complex numbers form a body with regard to addition and multiplication, but according to the previous view this is not ordered. The order properties fail, it is believed, because i would be neither positive nor negative, so that a relation like <or> would not be applicable.

The absolute theory and the complex numbers

So far it's just an idea and almost pure speculation: The numbers that I defined for the Division by Zero always played a life of their own. Recently I've been discovering that it is possible that they are not as different from complex numbers as I always thought. The assumption is 0 * 0 = -1, i.e. i = 0. On the one hand, this results from the consideration that infinitely times 0 comes close to 1 and can also be referred to as epsilon, the number that is greater than 0 , but smaller than any real number so far. According to the field axioms, 1 * 0 would be exactly the zero element and everything <1 * 0 would then go into the imaginary area, i.e. in particular 0 * 0 = -1. It should be noted that by 1 I always mean the ones element, i.e. the smallest possible non-imaginary number in the number set. This can be illustrated physically using the quantization. On the other hand, the assumption arises that i would be equal to 0 in the sense of my newly defined zero elements from physics. After the anti-proportionality of locomotion and mass the energy for faster than light speed moves into the area of ​​the zero elements, but according to Einstein and Minkowski it moves into the imaginary area. For a long time I thought that was a contradiction, but as always it was only an apparent one that leads to a greater truth.

It would also result from this that the complex numbers would be an ordered field, because i = 0 = + 0 and n * i> = 0, with n * i> m * i for n> m. This is how you could order the numbers. Unfortunately, there are also new contradictions with this idea, for example 1 / i = -i, which would mean that 1/0 = -0. And that brings me completely into the devil's kitchen, because then the difference between 0 and infinity, and also the difference between positive and negative values ​​in these two areas, could disappear. Let's see what greater truth is behind it.

Further development of this idea via the complex numbers

In the meantime, I don't think it's so improbable that 1/0 = -0 in the sense that 1 / i = -i. With that one would of course have to give up the idea that infinity is the reciprocal of 0. But that too can result from the logical formulation. If we define all times as infinite, and something happens once, then it happened and not zero. The phrase "once is never" would then not apply. I already have a good formulation for 0 * 0 = -1, but in the form 1 * 0 * 1 * 0 = -1 <=> 0 (1) * 0 (1) = -1. If you don't have something this one time, then you have something this one time, i.e. 1. Then there is the new problem that something would be 1 and not -1, but I think with a little time I'll get that too solved. For Multiply by zero, I also omit the relevant reference.

Complex numbers and derivatives

A nice connection that would result from this idea is the calculation of the abilities. So f (x + i) / i = f (x + i) * -i in the real part is the first derivative of f (x), namely f '(x). Here there is a problem with cubic equations that i ^ 4 would no longer be +1. This is difficult to determine on the number line because I always equate 0 with +0. As a result, the jump from -0 to 1 can be too far, and this also applies to the derivatives. You would then always have to calculate the power of i according to your own power rules, because then it does not apply that i ^ 4 = i² * i² = -1 * -1 = +1. But here I have come to the last question of all body axioms. Namely, it makes sense to distinguish between + and -, male and female, positive and negative, and how, if so, do you do it correctly.