MATHOPEDIA-- List of 77 fakes and mistakes of Old Math// Student teaches professor
by Archimedes Plutonium

Last revision was 14Jan2022. And this is AP's 160th book of Science.

Preface:
A Mathopedia is like a special type of encyclopedia on the subject of mathematics. It is about the assessment of the worth of mathematics and the subject material of mathematics. It is a overall examination and a evaluation of mathematics and its topics.

The ordering of Mathopedia is not a alphabetic ordering, nor does it have a index. The ordering is purely that of importance at beginning and importance at end.

The greatest use of Mathopedia is a guide to students of what not to waste your time on and what to focus most of your time. I know so many college classes in mathematics are just a total waste of time, waste of valuable time for the class is math fakery. I know because I have been there.

Now I am going to cite various reference sources of AP books if anyone wants more details and can be seen in the Appendix at the end of the book.

I suppose, going forward, mathematics should always have a mathopedia, where major parts of mathematics as a science are held under scrutiny and question as to correctness. In past history we have called these incidents as "doubters of the mainstream". Yet math, like physics, can have no permanent mainstream, since there is always question of correctness in physics, there then corresponds questions of correctness in mathematics (because math is a subset of physics). What I mean is that each future generation corrects some mistakes of past mathematics. If anyone is unsure of what I am saying here, both math and physics need constant correcting, of that which never belonged in science. This then converges with the logic-philosophy of Pragmatism (see AP's book of logic on Pragmatism).

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Table of Contents
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1) Introduction

2) List of 77 errors, mistakes and fakes of Old Math.

3) Appendix

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Text
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1) Introduction

Alright, well, mathematics is a closed subject. What I mean by that is due to the textbook series of Archimedes Plutonium TEACHING TRUE MATHEMATICS, that once you learn the polynomial transform and learn the two Power Rules of Calculus, you reached the peak, the pinnacle of all of mathematics, and anything further in math is just details of what you learn in that textbook series. Math is a completed science because it has this "peak of calculus", unlike the other 5 hard sciences of physics, chemistry, biology, geology, astronomy. Those other five will continue to find new ideas, new things, while math remains static and complete to its peak of calculus understanding. Mathematics is finished complete as far as a science goes because the peak of math is going nowhere. And even though Physics will find new science such as how the proton toruses inside of atoms are configured in geometry, the geometry and calculus used in that configuration, that new science does not change nor does it create or require a new math peak/summit to handle the new physics.

Now I do need to discuss the errors of Math in general and the errors of math in geometry in particular. I have the feeling that Geometry is the more important of the two-- algebra - geometry. This list appears in partial form in most of AP's Teaching True Mathematics textbook series by Archimedes Plutonium, meant to be a guide and orientation, and a organizing of what must be covered before graduating from College, and what math to steer clear of.

Errors mostly, but not always, for some are included because too much time spent on them.

The listings in Mathopedia of errors, mistakes and fakes is based on the idea that Calculus is the supreme achievement of all of mathematics for it is the essential math of doing Physics electricity and magnetism. And in order to have a proof of the Fundamental Theorem of Calculus, we must clean up and clean out all the mistakes, fakes and errors of Old Math, erstwhile, we have no Calculus. So calculus is the consistency maker for the rest of all of mathematics.

2) List of 77 errors, mistakes and fakes of Old Math.

1) Calculus requires a geometry proof of Fundamental Theorem of Calculus, a proof that derivative and integral are inverses of one another, just as addition and subtraction are inverses, or, multiplication and division are inverses. The only way to obtain a geometry proof is to clean up and clean out all the fakes, mistakes and errors of Old Math, such as their fake numbers-- the Reals. Their fake definition of function allowing anything be a function. Their fakery of a continuum when even physics by 1900 with Planck onwards in Quantum Mechanics proving the Universe is discrete Space not a continuum, yet by 1900 onwards those in mathematics following the idiotic continuum in the Continuum Hypothesis with even more avid interest, when they should have thrown the continuum on a trash-pile of shame.

2) The true numbers of mathematics are the Decimal Grid Numbers, because you have to need and apply one mechanism only to obtain the true numbers of mathematics-- Mathematical Induction. In Old Math they had just a tiny few intelligent mathematicians, Kronecker, who emerged from the gaggle crowd of kooks to notice that Naturals all come from one single mechanism-- Mathematical Induction. But Old Math never had a crowd of mathematicians with logical brains to say-- all our numbers need to come from the one mechanism of Mathematical Induction.

3) The true numbers of math have empty space between successor and predecessor numbers. For example the 10 Grid is 0, .1, .2, .3, . . . , 9.8, 9.9, 10..0. Where no numbers exist between .1 and .2, etc. Only discrete numbers allow us to give a proof of Fundamental Theorem of Calculus.

4) All functions of mathematics must be a polynomial, and if not a polynomial, convert the offering to a polynomial over a specific interval.

Where is that stupid thread in sci.math, poising as a puzzle problem when it had no functions only pretend functions?

A few days back, 11Aug2021 appeared a stupid puzzle problem here in sci.math. Of someone pretending he had 3, 4 even 5 or 6 functions and wanting to prove equality.

Then I stepped into the conversation saying he had no functions at all, until they are converted into polynomials over a specified interval, then you can do calculus on those true real functions.

So, the world wide math community has got to begin to learn, no function is a function, until, and unless they are polynomials. This is an axiom of math and is proven true by the geometry proof of Fundamental Theorem of Calculus. You cannot have a FTC, if you have functions that are not polynomials.

So there is a trade off-- does math want calculus or no calculus? If you want calculus, all your functions have to be polynomials. This has to do with the concept of discrete geometry, not a continuum, for polynomials are discrete.

5) Space is discrete and all lines in space are strings of attached straight lines.

Judging from the increased Plutonium spam and attacks on me, it looks
like yet another Plutonium autism meltdown has started...

Spamming 💩👤 Archimedes Plutonium blithered:
> MATHOPEDIA-- List of 77 fakes and mistakes of Old Math// Student teaches professor
> by Archimedes Plutonium
>
>
1) Ludwig Poehlmann
2) Ludwig Hansen
3) Ludwig van Ludvig
4) Ludwig Plutonium
5) Archimedes Plutonium
6) Archimedes Plutonium
....
77) Archimedes Plutonium