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To refute such a concept as Infinity (or many infinities) in mathematics doesn't at all require all that big efforts mainly from its own definition in mathematics.

To explain this very simple fiction in human minds, just consider the natural numbers, where simply they are a continuous chain of "endless" successive integers with no existing largest integer, where this only invalidates strictly the concept of infinity since the later is not any number nor anything else (from its own definition), so how can we truly compare it with numbers? wonder!

So, the so obvious fact of natural numbers being actually "endless" is much stronger term than using any meaningless concept as Infinity, where this concept is just a plain hopeless try to finite the natural numbers fact in order to justify and legalize so many theorems and well- established results in modern mathematics as an agreement and never any real true discovery

Why do I add this question here, because of I found no tolerance at all to all my topics that had been added in many mathematical sections, where simply the trend is always deleting my content without being able to refute me in this very basic issue,

However, many of my proven topics were including true discoveries and so many mathematical challenges that are still standing evidence where simply no one could ever bring a single counterexample (especially in Number theory and Geometry)

And to give a brief idea about those many deleted topics that the reader would simply laugh at when hearing for the first time due to huge incorrect mathematical concepts that had been built and were well-established (based on so naive conclusions or merely were just plain wrong decisions, and not at all any true proved discovery)

However, the science of physics was the main victim of the current and alleged modern mathematical sciences, where also the world economy and intelligent people waste may be regarded as the second victim of so much wrong modern mathematics

In short, I claim (with many public published so rigorous proofs) at sci.math or Quora or at SE-(here-few still undeleted topics), The following famous fallacies:

1) Imaginary numbers were simply and WRONGLY DECIDED and never were any true discovery

2) Infinity concept is a totally fictional concept that doesn't mean anything but was just introduced or fabricated to legalize so many illegal mathematics

https://www.quora.com/How-can-a-school-student-or-a-layperson-prove-rigorously-that-1-0-but-only-and-strictly-by-using-the-infinity-concept-in-mathematics/answer/Bassam-Karzeddin-1

3) The fundamental theorem of algebra totally flawed

4) The CONVERGENCE principle is also a flawed concept since the Infinite sum never exists because basically, natural numbers are endless

And if you look more carefully about the divergence or convergence you would certainly find them as the same but with so tinny deference which is that decimal notation denoted by a dot point (.), where it is not any fundamental operation in mathematics or any magical tool that can suddenly and turn the non-numbers to real numbers for sure

And the easiest way for a clever school student or a layperson to understand the deepest theme is to work for a few minutes in fractions and without using that mind blocking notation (decimal point), for sure

https://www.quora.com/When-shall-mathematicians-realize-that-no-existing-theorem-in-mathematics-would-yield-exactly-the-cube-root-of-any-prime-number

5) All real numbers associated with the fictional concept of Infinity such as the non-constructible irrational numbers (real algebraic and trans.) numbers that don't exist on the real number line (but only notations in minds), with so special story of $\pi$

See here in the below link, how is it too elementary to refute the most famous human mind fallacy in mathematics about? $$1 = 0.999...$$ where thence applicable on every alleged real number that is generally assumed with an infinite number of digits after the decimal notation, despite so many alleged proofs for this refuted fallacy https://groups.google.com/forum/#!topic/sci.math/v88rBgVXFrY

6) The impossibility of solving the general polynomials by radicals for degrees higher than fourth was so simple and so naive and beyond one's common beliefs in our modern mathematics

7) A very famous challenging example of the non-existence of many integer degrees angles of the form ($3n +/- 1$), in any existing triangle with exactly known and constructible sides, where this so obvious fact reveals strictly all the legendary real numbers in our current modern mathematics

Ref: https://www.quora.com/Do-most-of-the-named-angles-in-mathematics-truly-exist

Of course, one must consider that no Journal or University would accept such closed topics nowadays, therefore It was my duty to make them publically available to keen researchers in future, where absolute facts must be raised above all common fallacies ultimately

For interested philosophers or logicians in those many critical issues in mathematics nowadays, people can simply read many relevant topics in a free spoken site, where simply no professional control on the content of any topic, a reader must distinguish himself the facts from illusions, and not personalizing any self-issue, here: https://groups.google.com/forum/#!forum/sci.math

Note that, if all my deleted questions or answers were recovered at SE, then it would certainly facilitate the so easy task to understand all those many fictions in our modern mathematics, sure