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50 fakes & mistakes of Old Math//56 fakes & mistakes of Old Math AP's List of 56 fakes and mistakes of Old Math. These can be found in AP's TEACHING TRUE MATHEMATICS series. TEACHING TRUE MATHEMATICS: Volume 3 for ages 18-19 Freshperson College
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Archimedes Plutonium
Jan 18, 2021, 7:32:10 PM1/18/21
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List of 56 fakes & mistakes of Old Math
AP's List of 56 fakes and mistakes of Old Math.
These can be found in AP's TEACHING TRUE MATHEMATICS series.
TEACHING TRUE MATHEMATICS: Volume 3 for ages 18-19 Freshperson College, math textbook series, book 3
Teaching True Mathematics, by Archimedes Plutonium 2019
Listing the Errors of Old Math, list of 1 to 50.
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, 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. Mathematics is finished complete as far as a science goes.
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 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.
1) No curves exist in Geometry, only finer and smaller straight line segments attached to one another.
2) Space has gaps in between one point and the next point. These gaps are empty space from one point to the next point, for example in 10 Grid there is no number between .1 and .2, and in 100 Grid there exists no number between .01 and .02.
3) Infinity has a borderline and there is a microinfinity compared to a macroinfinity. For example in 10 Grid, the microinfinity is .1 if we exclude 0 and so there is no number smaller than .1 and no number larger than 10 in 10 Grid, where 10 is macroinfinity.
4) The 1st Quadrant Only in Coordinate System Geometry. Sad that the first coordinate system of Descartes was correct but soon became corrupted with 4 quadrants. See Mathematical Thought, Volume 1, Kline, 1972, page 303. Where Fermat then Descartes starts the Cartesian Coordinate System as 1 axis only and from 0 rightwards, meaning in our modern day math, 1st Quadrant Only. Why did math screw up on coordinate systems? I suppose some clowns thought negative numbers were true and they wanted ease of drawing a circle with center at 0. When they could have just as easily drawn the circle in 1st Quadrant Only.
5) Calculus needed a Geometry proof of the Fundamental Theorem of Calculus, but Old Math never provided such, instead they provided some stupid Limit argument. The reason for the creation of the Limit disaster was that the French mathematician Cauchy got sick and tired of hearing his smartest students complain that the width of rectangles in the integral are 0 width, and those smart students could not, for the life of them understand how a rectangle with 0 width has any interior area. So instead of the math community denouncing the limit, instead they elevated the fakery.
6) Further in Calculus, they knew you could do a transform of coordinate points to turn any function into a polynomial function, a method of Lagrange. However, they in Old Math were too stupid to take this transform to its highest form-- all functions are polynomial functions and only polynomial functions. When you learn that-- the derivative and integral of any and every function of math is a snap breeze simple and easy.
7) With the error filled 4 quadrants, when it should be 1st Quadrant Only, we have Trigonometry's sine and cosine with the fakery of sinusoid wave when it never was that. The sine and cosine are semicircle waves, and no sinusoid wave exists.
8) There is only one Geometry-- Euclidean, and there is not three distinct geometries of elliptical Riemannian or hyperbolic Lobachevsky. Those two are just duals that make up Euclidean.
9) Torus, volume and surface area formulas in Old Math are all screwed up and in error because they imagined bending a cylinder to form a torus. This brings back memories, for I had to do a percentage formula, since I could not follow the fake way of bending a cylinder. Where 78.5% of Disc Torus (pi)R^2h - (pi)r^2h is the volume of Circle Torus, and 78.5% of Disc Torus 2(pi)Rh + 2(pi)rh + 2 ((pi)R^2 - (pi)r^2) is the surface area of Circle Torus.
10) Ellipse is never a conic slant cut, always a cylinder slant cut.
11) All Parallelepipeds reduced to a Rectangular Box by making 2 cuts and pastes. Volume of the original Parallelepiped is simply a*b*c of the Rectangular Box length*width*depth formed. Old Math never understood that a precise definition of Parallelepiped has two kinds, the parallelepiped that has 90 degree angles and the parallelepiped that has no 90 degree angle.
12) All of Old Logic such as the textbooks by Copi and Boole and Jevons with their messed up operators such as 10 OR 4 = 14 with AND as subtraction, are thrown out onto the rubbish pile of shame. Set theory is thrown out completely, although we can use the word "set" to mean collection, group. All of Cantor set theory is phony baloney, not worth reading.
13) Rationals and Negative Numbers thrown out completely because the only true numbers are Decimal Grid Numbers. Some would complain, why AP throws out Rationals? And the answer is simple, that numbers must be free of operations, for Rationals are unresolved divisions. Numbers are free and clear of any operator. Numbers have to be formed purely from mathematical-induction and having no unfinished operator. The Smallest set of Grid numbers is the 10 Grid System with its infinitesimal being .1, and the entire collection of 10 Grid is 0, .1, .2, .3, . . , 9.9, 10.0 where .1 is microinfinity and 10 is macroinfinity. In 100 Grid the infinitesimal is .01, in 1000 Grid the infinitesimal is .001, etc etc. In such a true system of numbers, all the numbers are built by mathematical-induction. Not just one group of numbers-- counting, but all numbers from mathematical-induction.
14) Irrationals thrown out completely (ditto to Rationals and Negative numbers).
15) Reals thrown out completely (ditto).
16) Imaginary numbers and Complex numbers are b.s. and thrown out completely.
17) Trigonometry pared down so much-- 90% thrown out, and no trigonometry ever enters Calculus. Only real use of trigonometry is when you have an angle and side, you can figure out the rest of the right triangle. But no, when you give true math to a gaggle of kooks, it is not long before they stretch true math way way out of its "zone of truth". And even fill up by 50% of calculus, when trig should never be in calculus.
18) Continuum and continuity thrown out as horrible fakery (in fact the Quantum Mechanic Physics of early 1900s had a better handle on the truth and reality of math with discrete space).
19) Topology is junk and a waste of time for many reasons such as continuum does not exist, and the fact that the idea of "bending" is not really ever a mathematical concept.
20) Prime numbers are fakery for the Naturals never had division in the first place. The real true numbers of mathematics are the Decimal Grid Numbers and they do not have a concept of "prime". The key evidence that primes were silly stupid error, was the fact that there never existed a "pattern for primes". And all of mathematics is a science of "pattern". If any part of mathematics has no pattern, is indication that such was a phony fake concept to start with. Below begins a write-up of Math topics all have pattern, if not, then not math. Now some may worry about the idea that no primes ever existed for they worry about the Unique Prime Factorization Theorem of Old Math. But here again, there is no worry. For "Factors exist" just not prime factors.
21) Limit in Old Math was a horrible fakery, built by lowly idiots of math who wanted to get away from the smart students asking them-- stupid professor, come back here,-- how does a zero width rectangle even have interior area.
22) Lobachevsky, Riemann geometries and all NonEuclidean geometries are fakery and a waste of time. Many math professors want to spice up their boring math, so they ventured way way off into the twilight-zone of math with NonEuclidean geometry, like eating the hottest peppers in the world for breakfast.
23) Boole logic a horrid gaggle of monumental mistakes; one colossal error was their insane 10 OR 4 = 14. Boole was a monumental idiot of logic that he went to college to teach in a rainstorm without umbrella and when he got there, shivering, and no commonsense to switch into dry clothes, taught in rain soaked clothes with his students laughing at the fool he was for catching pneumonia. Boole was so logically insane that he ordered his wife to give him cold bathes and wet his bed in order to fight pneumonia, and western culture, now, elevates this insane logical fool, and puts such a logical misfit as the Father- of- logic. And modern day schools of 2020 are as insanely crazy as was Boole for they continue to teach that 4 OR 1 = 5, when even a village idiot society knows better with 4 AND 1 = 5.
24) Galois Algebra of Group, Ring, Field a fakery and waste of time.
25) Dimension stops at 3rd, and 3rd is the last and highest dimension possible, for there is no 4th or higher dimensions.
26) High School in Old Math spends too much time on quadratic equations with their negative numbers and imaginary-complex numbers when such never existed in the first place and where they violate a principle of algebra-- that an equation of algebra-- the right-side of the equation must always have a greater than zero number. So we throw out all quadratic equations of Old Math as fake math.
27) High School in Old Math spends too much time on teaching in geometry the congruence of SSS, ASA etc etc and we should pare that back somewhat, as excess teaching of a tiny minor concept.
28) Ordinary and Partial Differential Equations are now seen as superfluous when all functions are polynomials and need only the Power Rule. In Old Math we throw out all the insane ridiculous myriad of fake rules-- the Chain Rule, Simpson's Rule, Trapezoidal Rule, all because math has only one type of function-- polynomials and that makes for only one rule-- Power Rule.
29) Parametric Equations thrown out-- for what need is there of a sack of dung when all functions are polynomials. Interchanging equation with function.
30) Graph theory-- 90% worthless for it is based on the fakery of continuum.
31) Probability and Statistics theory now becomes a part of Sigma Error in New Math, the Old Math Probability and Statistics theory were wastrel and thrown out for it is based on a continuum and they had no proper definition of "probability" that fits with statistics. We keep Probability and Statistics in new math but revise and overhaul it completely.
32) We definitely throw out all Old Math Calculus textbooks as mostly propaganda, based on the silly Limit and the Continuum.
33) We throw out the Euclidean Axioms of Geometry and start anew, with axioms based on Physics as geometry truth.
34) Fractal theory totally junk and a waste-- uses ill-defined infinity.
35) Vector Calculus (not the vector concept itself), Chaos theory, Complex Analysis, utter junk and waste of time since polynomial theory covers all functions.
36) Differential geometry, Measure theory fakery since they never had the correct numbers of math, and they had the fakery continuum.
37) We throw out all the Apollonius conic sections because he misidentified the ellipse. The ellipse is a cylinder section, never a conic section and the oval is the slant cut of the cone, never the ellipse. We replace the entire conic sections by the AP theory of axes of symmetry using Decimal Grid Numbers for algebra and strip-wavelength-geometry axioms.
38) Most of Algebra, starting with Linear Algebra is esoteric minutiae, or, just cute tools for specialized math, just as the Binomial Theorem and the Pascal triangle, all cute esoteric minutiae. Certainly none of which is appropriate in school math education. These topics are for those interested in sideline math, but does not belong in mainstream math. Algebra reaches its pinnacle of importance with the Polynomial Function transform. Anything else in Algebra is sideline esoteric minutiae. These are not wrong or false math, just not important enough math to be mainstream worthy of math education.
39) Gaussian Curvature is esoteric exotica, perhaps even fakery. It is a fallacy of "idealism". There has never been any physics application for now 200 years. But most damaging is the fact that Euclidean is the only geometry, and that elliptic and hyperbolic are just dualities for which if you compound them together is Euclidean geometry.
40) Manifolds in Old Math were fakery, since topology is fake with its "bending" and math cannot define "bending" which belongs to physics and chemistry. Bending is a physics phenomenon, not something that ever belonged in mathematics. Topology with its continuum and ill-defined infinity is fakery, then also is its manifold. In New Math, all 2-Dimensional figures are handled by polynomial transforms, so also all 3-Dimensional figures. How so much easier is it, that doing a Polynomial Transform, rather than the silly fakery and obfuscation of manifolds.
41) Fourier, Laplace and other transforms, all of them thrown out the window because the only valid transforms are polynomial transforms. Polynomials are the only valid functions, hence, polynomials are the only valid transforms. And here in mathematics we begin to see that Polynomial transform is the mirror image of physics wanting a unification of the 4 forces of Old Physics, where the EM unification of physics, is like the Polynomial transform of mathematics that unifies all so-called-functions.
42) Principle of Logic, that Physics is king of sciences, and that means math is but a tiny subset. But in 20th and 21st century, we still have goons and kooks of math that think math is bigger than physics. These goons and kooks think that the Universe is a mathematical equation. They belong in an asylum, not the sciences.
43) There are many Principles of Logic which were unknown or ignored in Old Math. One of those principles caused the horrendous failure of sine and cosine trigonometry. The failure that a graph of a function in 2D or 3D, where the axes, all have to be the same numbers. You cannot have the x-axis as angles and the other axis as numbers. You abandon mathematics when you enact such a policy. You may as well have bar graphs and pie-charts and call them foundation mathematics, when you do sine and cosine with different representations of axes.
44) Principle of Logic-- follow your definitions exactly. When you do not follow your definitions you end up with the craziness of thinking sine is a sinusoidal wave when in truth it is a semicircle wave. You defined sine as opposite/hypotenuse of right triangles in a circle. That means, it is impossible from the definition for sine and cosine to be anything other than a semicircle wave.
45) Principle of Reality in a Equation-- You formed equations in mathematics where one side is the same as the other side. This is the algebra axiom of where the rightside can only be a positive nonzero decimal Grid Number. Equations must have "reality" on the rightside of the equation, in order for the equation to even exist. We cannot put negative numbers, or zero, or imaginary numbers on the right side of an equation and expect there to even be an "equation of mathematics". Math like physics deals with "reality". And that means a equation of mathematics must have a true substantive reality on the rightside of the equation all by itself. You can clutter up the leftside of the equation and solve for unknowns, but the rightside of the equation has all by itself a positive, nonzero Decimal Grid Number. Anything else is not mathematics.
46) The Reductio Ad Absurdum, RAA, or some call it proof by contradiction is not a valid proof argument in mathematics. RAA at best is a strong hypothetical, but not a guarantee of truth or proof. The trouble with RAA is the trouble with the IF-->Then connector of Logic which has a truth table of True, False, Unknown, Unknown. Old Logic had this connector of If-->Then as TFTT. It is the unknowns in F--> T and F--> F that neither has a true conclusion but an unknown conclusion that renders RAA as non workable in math.
47) The primal axiom of Physics-- All is Atom and atoms are nothing but electricity and magnetism reigns not only over physics but mathematics as well. Most of the Teaching True Mathematics textbook series books have physics experiments involving electricity and magnetism.
48) Geometry is discrete with not only discrete numbers but empty space in between numbers as coordinate points of a graph and with a discrete angle. No continuum exists in either algebra or geometry.
49) True geometry cannot have all volumes by stacking 2D figures, for example the torus, where the circles near the donut hole would be spaced too close together versus the circles near the rim of the circumference have wide empty space gaps. Stacking to achieve volume is not a universal method.
50) Mathematics has a peak, a pinnacle, a climax of understanding with Calculus, the motion of physics and the energy of physics. This is expressed in the 2D and 3D calculus. It closes the subject of mathematics. And once we learn how to transform polynomials, and apply the power rule in High School, all the rest of mathematics we learn in life is just mere details of our teachings that took place in High School. Math is a closed subject beyond Calculus.
51) Mathematics is a closed subject, meaning it has a summit, a peak and that peak mirrors the Physics of motion. It is called calculus. Once you learn calculus, and it is very easy for it is just the Power Rule upon Polynomials. Once you learn this in High School, all the rest of mathematics is just details concerning motion. Mathematics is a tiny tiny subset of Physics. Everything of mathematics comes from physics. The reason the world has numbers is because physics has atoms and atoms are numerous. The reason the world has geometry is because atoms come in various shapes and sizes.
52) Math is a closed subject, a tiny subset of physics, and ever since 2019, the writing of this Calculus Guide, all the important topics of mathematics can be taught in junior and senior year High School. Any mathematics beyond High School is mere details of that junior and senior year teaching-- namely polynomial transform and Power Rules for derivative and integral of calculus.
53) The AP-EM equations of physics and mathematics. They replace the error ridden Maxwell Equations.
If you desire, you can replace E, electric field with L, angular momentum. Where V is voltage, i or A is current, B is magnetic field, E is electric field, kg is kilogram mass, m is meters, s is seconds, C=quantity of current A*s.
a) Magnetic primal unit law Magnetic Field B = kg /A*s^2
b) V = C*B*E New Ohm's law, law of electricity
c) V' = (C*B*E)' Capacitor Law of Physics
d) (V/C*E)' = B' Ampere-Maxwell law
e) (V/(B*E))' = C' Faraday law
f) (V/(C*B))' = E' the new law of Coulomb force with EM gravity force
PHYSICS LAWS
a) Facts of chemistry and physics
b) Voltage V = kg*m^2/(A*s^3)
c) Amount of current C = A*s = magnetic monopoles
d) Magnetic primal unit law Magnetic Field B = kg /(A*s^2)
e) Electric Field E = kg m^2/(A*s)
f) V = C*B*E New Ohm's law, law of electricity
g) V' = (C*B*E)' Capacitor Law of Physics
h) (V/C*E)' = B' Ampere-Maxwell law
i) (V/(B*E))' = C' Faraday law
j) (V/(C*B))' = E' the new law of Coulomb force with EM gravity force
54) Research into what I call "pencil ellipses" that are ellipses of enormous semimajor axis and tiny tiny semiminor axis, whose importance to physics is ultra important.
55) Light waves are not straightline arrows, open ended arrows but rather instead are pencil ellipses always connected as a closed loop circuit with the source of that light.
56) Old Math in its fakery and stupidity never had a 3rd Dimension Calculus, for theirs was only 2nd dimension. Their colossal mistake of never a geometry proof of Calculus for the idiots believed in "limit analysis of 0 width rectangles for integral", that those Old Math idiots could never understand there exists 3rd dimension calculus.
True mathematics is a subject that is always easy, clear, and comprehensible. Old Math never had a program of "let us make the subject easy and clear and accessible to all". Old Math was about fame and fortune for a grubby few arrogant and ignorant fame seekers to those seeking fame and fortune by adding fake math, incomprehensible, hard, worthless, at the expense of torturing young students who all they wanted was a foundation understanding of true mathematics.
Old Math cared more about having a few kooks run out and about, getting fame and fortune by piling incomprehensible trash onto mathematics, than it ever cared about going into a classroom and teaching math that everyone can understand. Of the four hard sciences, physics, chemistry, biology, mathematics, there is no reason in the entire world, that math is the easiest of those 4 sciences. The only reason today, that math is not the easiest of those four sciences, is because after Descartes for 5 centuries now, mathematics was given over to kooks of math who sought for fame and fortune at the expense of keeping math simple and easy. Kooks of math filling up math so that math is now in 2020 a gaggle of kook ridden incomprehensible garbage. Ask your local kook math professor why he/she holds onto Boole logic with his 10 OR 4 = 14 when you know well that 10 AND 4 = 14. Ask your local kook math professor why he keeps teaching ellipse is a conic when you can show him on the spot with a paper cone and a lid that the slant cut is a oval, never a ellipse. And ask your local kook math professor why he/she never is able to give you a geometry proof of Fundamental Theorem of Calculus. And the answer is always-- they are kooks of math, not mathematicians.
This list is ongoing, and is a bulletin-board of errors of Old Math and useful for Teaching True Mathematics. I insert this list as a guide. To show students what math to avoid, to steer away from, as a total fake and waste of time.
AP
King of Science
Read my recent posts in peace and quiet.
https://groups.google.com/forum/?hl=en#!forum/plutonium-atom-universe
Archimedes Plutonium
AP's List of 56 fakes and mistakes of Old Math.
These can be found in AP's TEACHING TRUE MATHEMATICS series.
TEACHING TRUE MATHEMATICS: Volume 3 for ages 18-19 Freshperson College, math textbook series, book 3
Teaching True Mathematics, by Archimedes Plutonium 2019
Listing the Errors of Old Math, list of 1 to 50.
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, 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. Mathematics is finished complete as far as a science goes.
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 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.
1) No curves exist in Geometry, only finer and smaller straight line segments attached to one another.
2) Space has gaps in between one point and the next point. These gaps are empty space from one point to the next point, for example in 10 Grid there is no number between .1 and .2, and in 100 Grid there exists no number between .01 and .02.
3) Infinity has a borderline and there is a microinfinity compared to a macroinfinity. For example in 10 Grid, the microinfinity is .1 if we exclude 0 and so there is no number smaller than .1 and no number larger than 10 in 10 Grid, where 10 is macroinfinity.
4) The 1st Quadrant Only in Coordinate System Geometry. Sad that the first coordinate system of Descartes was correct but soon became corrupted with 4 quadrants. See Mathematical Thought, Volume 1, Kline, 1972, page 303. Where Fermat then Descartes starts the Cartesian Coordinate System as 1 axis only and from 0 rightwards, meaning in our modern day math, 1st Quadrant Only. Why did math screw up on coordinate systems? I suppose some clowns thought negative numbers were true and they wanted ease of drawing a circle with center at 0. When they could have just as easily drawn the circle in 1st Quadrant Only.
5) Calculus needed a Geometry proof of the Fundamental Theorem of Calculus, but Old Math never provided such, instead they provided some stupid Limit argument. The reason for the creation of the Limit disaster was that the French mathematician Cauchy got sick and tired of hearing his smartest students complain that the width of rectangles in the integral are 0 width, and those smart students could not, for the life of them understand how a rectangle with 0 width has any interior area. So instead of the math community denouncing the limit, instead they elevated the fakery.
6) Further in Calculus, they knew you could do a transform of coordinate points to turn any function into a polynomial function, a method of Lagrange. However, they in Old Math were too stupid to take this transform to its highest form-- all functions are polynomial functions and only polynomial functions. When you learn that-- the derivative and integral of any and every function of math is a snap breeze simple and easy.
7) With the error filled 4 quadrants, when it should be 1st Quadrant Only, we have Trigonometry's sine and cosine with the fakery of sinusoid wave when it never was that. The sine and cosine are semicircle waves, and no sinusoid wave exists.
8) There is only one Geometry-- Euclidean, and there is not three distinct geometries of elliptical Riemannian or hyperbolic Lobachevsky. Those two are just duals that make up Euclidean.
9) Torus, volume and surface area formulas in Old Math are all screwed up and in error because they imagined bending a cylinder to form a torus. This brings back memories, for I had to do a percentage formula, since I could not follow the fake way of bending a cylinder. Where 78.5% of Disc Torus (pi)R^2h - (pi)r^2h is the volume of Circle Torus, and 78.5% of Disc Torus 2(pi)Rh + 2(pi)rh + 2 ((pi)R^2 - (pi)r^2) is the surface area of Circle Torus.
10) Ellipse is never a conic slant cut, always a cylinder slant cut.
11) All Parallelepipeds reduced to a Rectangular Box by making 2 cuts and pastes. Volume of the original Parallelepiped is simply a*b*c of the Rectangular Box length*width*depth formed. Old Math never understood that a precise definition of Parallelepiped has two kinds, the parallelepiped that has 90 degree angles and the parallelepiped that has no 90 degree angle.
12) All of Old Logic such as the textbooks by Copi and Boole and Jevons with their messed up operators such as 10 OR 4 = 14 with AND as subtraction, are thrown out onto the rubbish pile of shame. Set theory is thrown out completely, although we can use the word "set" to mean collection, group. All of Cantor set theory is phony baloney, not worth reading.
13) Rationals and Negative Numbers thrown out completely because the only true numbers are Decimal Grid Numbers. Some would complain, why AP throws out Rationals? And the answer is simple, that numbers must be free of operations, for Rationals are unresolved divisions. Numbers are free and clear of any operator. Numbers have to be formed purely from mathematical-induction and having no unfinished operator. The Smallest set of Grid numbers is the 10 Grid System with its infinitesimal being .1, and the entire collection of 10 Grid is 0, .1, .2, .3, . . , 9.9, 10.0 where .1 is microinfinity and 10 is macroinfinity. In 100 Grid the infinitesimal is .01, in 1000 Grid the infinitesimal is .001, etc etc. In such a true system of numbers, all the numbers are built by mathematical-induction. Not just one group of numbers-- counting, but all numbers from mathematical-induction.
14) Irrationals thrown out completely (ditto to Rationals and Negative numbers).
15) Reals thrown out completely (ditto).
16) Imaginary numbers and Complex numbers are b.s. and thrown out completely.
17) Trigonometry pared down so much-- 90% thrown out, and no trigonometry ever enters Calculus. Only real use of trigonometry is when you have an angle and side, you can figure out the rest of the right triangle. But no, when you give true math to a gaggle of kooks, it is not long before they stretch true math way way out of its "zone of truth". And even fill up by 50% of calculus, when trig should never be in calculus.
18) Continuum and continuity thrown out as horrible fakery (in fact the Quantum Mechanic Physics of early 1900s had a better handle on the truth and reality of math with discrete space).
19) Topology is junk and a waste of time for many reasons such as continuum does not exist, and the fact that the idea of "bending" is not really ever a mathematical concept.
20) Prime numbers are fakery for the Naturals never had division in the first place. The real true numbers of mathematics are the Decimal Grid Numbers and they do not have a concept of "prime". The key evidence that primes were silly stupid error, was the fact that there never existed a "pattern for primes". And all of mathematics is a science of "pattern". If any part of mathematics has no pattern, is indication that such was a phony fake concept to start with. Below begins a write-up of Math topics all have pattern, if not, then not math. Now some may worry about the idea that no primes ever existed for they worry about the Unique Prime Factorization Theorem of Old Math. But here again, there is no worry. For "Factors exist" just not prime factors.
21) Limit in Old Math was a horrible fakery, built by lowly idiots of math who wanted to get away from the smart students asking them-- stupid professor, come back here,-- how does a zero width rectangle even have interior area.
22) Lobachevsky, Riemann geometries and all NonEuclidean geometries are fakery and a waste of time. Many math professors want to spice up their boring math, so they ventured way way off into the twilight-zone of math with NonEuclidean geometry, like eating the hottest peppers in the world for breakfast.
23) Boole logic a horrid gaggle of monumental mistakes; one colossal error was their insane 10 OR 4 = 14. Boole was a monumental idiot of logic that he went to college to teach in a rainstorm without umbrella and when he got there, shivering, and no commonsense to switch into dry clothes, taught in rain soaked clothes with his students laughing at the fool he was for catching pneumonia. Boole was so logically insane that he ordered his wife to give him cold bathes and wet his bed in order to fight pneumonia, and western culture, now, elevates this insane logical fool, and puts such a logical misfit as the Father- of- logic. And modern day schools of 2020 are as insanely crazy as was Boole for they continue to teach that 4 OR 1 = 5, when even a village idiot society knows better with 4 AND 1 = 5.
24) Galois Algebra of Group, Ring, Field a fakery and waste of time.
25) Dimension stops at 3rd, and 3rd is the last and highest dimension possible, for there is no 4th or higher dimensions.
26) High School in Old Math spends too much time on quadratic equations with their negative numbers and imaginary-complex numbers when such never existed in the first place and where they violate a principle of algebra-- that an equation of algebra-- the right-side of the equation must always have a greater than zero number. So we throw out all quadratic equations of Old Math as fake math.
27) High School in Old Math spends too much time on teaching in geometry the congruence of SSS, ASA etc etc and we should pare that back somewhat, as excess teaching of a tiny minor concept.
28) Ordinary and Partial Differential Equations are now seen as superfluous when all functions are polynomials and need only the Power Rule. In Old Math we throw out all the insane ridiculous myriad of fake rules-- the Chain Rule, Simpson's Rule, Trapezoidal Rule, all because math has only one type of function-- polynomials and that makes for only one rule-- Power Rule.
29) Parametric Equations thrown out-- for what need is there of a sack of dung when all functions are polynomials. Interchanging equation with function.
30) Graph theory-- 90% worthless for it is based on the fakery of continuum.
31) Probability and Statistics theory now becomes a part of Sigma Error in New Math, the Old Math Probability and Statistics theory were wastrel and thrown out for it is based on a continuum and they had no proper definition of "probability" that fits with statistics. We keep Probability and Statistics in new math but revise and overhaul it completely.
32) We definitely throw out all Old Math Calculus textbooks as mostly propaganda, based on the silly Limit and the Continuum.
33) We throw out the Euclidean Axioms of Geometry and start anew, with axioms based on Physics as geometry truth.
34) Fractal theory totally junk and a waste-- uses ill-defined infinity.
35) Vector Calculus (not the vector concept itself), Chaos theory, Complex Analysis, utter junk and waste of time since polynomial theory covers all functions.
36) Differential geometry, Measure theory fakery since they never had the correct numbers of math, and they had the fakery continuum.
37) We throw out all the Apollonius conic sections because he misidentified the ellipse. The ellipse is a cylinder section, never a conic section and the oval is the slant cut of the cone, never the ellipse. We replace the entire conic sections by the AP theory of axes of symmetry using Decimal Grid Numbers for algebra and strip-wavelength-geometry axioms.
38) Most of Algebra, starting with Linear Algebra is esoteric minutiae, or, just cute tools for specialized math, just as the Binomial Theorem and the Pascal triangle, all cute esoteric minutiae. Certainly none of which is appropriate in school math education. These topics are for those interested in sideline math, but does not belong in mainstream math. Algebra reaches its pinnacle of importance with the Polynomial Function transform. Anything else in Algebra is sideline esoteric minutiae. These are not wrong or false math, just not important enough math to be mainstream worthy of math education.
39) Gaussian Curvature is esoteric exotica, perhaps even fakery. It is a fallacy of "idealism". There has never been any physics application for now 200 years. But most damaging is the fact that Euclidean is the only geometry, and that elliptic and hyperbolic are just dualities for which if you compound them together is Euclidean geometry.
40) Manifolds in Old Math were fakery, since topology is fake with its "bending" and math cannot define "bending" which belongs to physics and chemistry. Bending is a physics phenomenon, not something that ever belonged in mathematics. Topology with its continuum and ill-defined infinity is fakery, then also is its manifold. In New Math, all 2-Dimensional figures are handled by polynomial transforms, so also all 3-Dimensional figures. How so much easier is it, that doing a Polynomial Transform, rather than the silly fakery and obfuscation of manifolds.
41) Fourier, Laplace and other transforms, all of them thrown out the window because the only valid transforms are polynomial transforms. Polynomials are the only valid functions, hence, polynomials are the only valid transforms. And here in mathematics we begin to see that Polynomial transform is the mirror image of physics wanting a unification of the 4 forces of Old Physics, where the EM unification of physics, is like the Polynomial transform of mathematics that unifies all so-called-functions.
42) Principle of Logic, that Physics is king of sciences, and that means math is but a tiny subset. But in 20th and 21st century, we still have goons and kooks of math that think math is bigger than physics. These goons and kooks think that the Universe is a mathematical equation. They belong in an asylum, not the sciences.
43) There are many Principles of Logic which were unknown or ignored in Old Math. One of those principles caused the horrendous failure of sine and cosine trigonometry. The failure that a graph of a function in 2D or 3D, where the axes, all have to be the same numbers. You cannot have the x-axis as angles and the other axis as numbers. You abandon mathematics when you enact such a policy. You may as well have bar graphs and pie-charts and call them foundation mathematics, when you do sine and cosine with different representations of axes.
44) Principle of Logic-- follow your definitions exactly. When you do not follow your definitions you end up with the craziness of thinking sine is a sinusoidal wave when in truth it is a semicircle wave. You defined sine as opposite/hypotenuse of right triangles in a circle. That means, it is impossible from the definition for sine and cosine to be anything other than a semicircle wave.
45) Principle of Reality in a Equation-- You formed equations in mathematics where one side is the same as the other side. This is the algebra axiom of where the rightside can only be a positive nonzero decimal Grid Number. Equations must have "reality" on the rightside of the equation, in order for the equation to even exist. We cannot put negative numbers, or zero, or imaginary numbers on the right side of an equation and expect there to even be an "equation of mathematics". Math like physics deals with "reality". And that means a equation of mathematics must have a true substantive reality on the rightside of the equation all by itself. You can clutter up the leftside of the equation and solve for unknowns, but the rightside of the equation has all by itself a positive, nonzero Decimal Grid Number. Anything else is not mathematics.
46) The Reductio Ad Absurdum, RAA, or some call it proof by contradiction is not a valid proof argument in mathematics. RAA at best is a strong hypothetical, but not a guarantee of truth or proof. The trouble with RAA is the trouble with the IF-->Then connector of Logic which has a truth table of True, False, Unknown, Unknown. Old Logic had this connector of If-->Then as TFTT. It is the unknowns in F--> T and F--> F that neither has a true conclusion but an unknown conclusion that renders RAA as non workable in math.
47) The primal axiom of Physics-- All is Atom and atoms are nothing but electricity and magnetism reigns not only over physics but mathematics as well. Most of the Teaching True Mathematics textbook series books have physics experiments involving electricity and magnetism.
48) Geometry is discrete with not only discrete numbers but empty space in between numbers as coordinate points of a graph and with a discrete angle. No continuum exists in either algebra or geometry.
49) True geometry cannot have all volumes by stacking 2D figures, for example the torus, where the circles near the donut hole would be spaced too close together versus the circles near the rim of the circumference have wide empty space gaps. Stacking to achieve volume is not a universal method.
50) Mathematics has a peak, a pinnacle, a climax of understanding with Calculus, the motion of physics and the energy of physics. This is expressed in the 2D and 3D calculus. It closes the subject of mathematics. And once we learn how to transform polynomials, and apply the power rule in High School, all the rest of mathematics we learn in life is just mere details of our teachings that took place in High School. Math is a closed subject beyond Calculus.
51) Mathematics is a closed subject, meaning it has a summit, a peak and that peak mirrors the Physics of motion. It is called calculus. Once you learn calculus, and it is very easy for it is just the Power Rule upon Polynomials. Once you learn this in High School, all the rest of mathematics is just details concerning motion. Mathematics is a tiny tiny subset of Physics. Everything of mathematics comes from physics. The reason the world has numbers is because physics has atoms and atoms are numerous. The reason the world has geometry is because atoms come in various shapes and sizes.
52) Math is a closed subject, a tiny subset of physics, and ever since 2019, the writing of this Calculus Guide, all the important topics of mathematics can be taught in junior and senior year High School. Any mathematics beyond High School is mere details of that junior and senior year teaching-- namely polynomial transform and Power Rules for derivative and integral of calculus.
53) The AP-EM equations of physics and mathematics. They replace the error ridden Maxwell Equations.
If you desire, you can replace E, electric field with L, angular momentum. Where V is voltage, i or A is current, B is magnetic field, E is electric field, kg is kilogram mass, m is meters, s is seconds, C=quantity of current A*s.
a) Magnetic primal unit law Magnetic Field B = kg /A*s^2
b) V = C*B*E New Ohm's law, law of electricity
c) V' = (C*B*E)' Capacitor Law of Physics
d) (V/C*E)' = B' Ampere-Maxwell law
e) (V/(B*E))' = C' Faraday law
f) (V/(C*B))' = E' the new law of Coulomb force with EM gravity force
PHYSICS LAWS
a) Facts of chemistry and physics
b) Voltage V = kg*m^2/(A*s^3)
c) Amount of current C = A*s = magnetic monopoles
d) Magnetic primal unit law Magnetic Field B = kg /(A*s^2)
e) Electric Field E = kg m^2/(A*s)
f) V = C*B*E New Ohm's law, law of electricity
g) V' = (C*B*E)' Capacitor Law of Physics
h) (V/C*E)' = B' Ampere-Maxwell law
i) (V/(B*E))' = C' Faraday law
j) (V/(C*B))' = E' the new law of Coulomb force with EM gravity force
54) Research into what I call "pencil ellipses" that are ellipses of enormous semimajor axis and tiny tiny semiminor axis, whose importance to physics is ultra important.
55) Light waves are not straightline arrows, open ended arrows but rather instead are pencil ellipses always connected as a closed loop circuit with the source of that light.
56) Old Math in its fakery and stupidity never had a 3rd Dimension Calculus, for theirs was only 2nd dimension. Their colossal mistake of never a geometry proof of Calculus for the idiots believed in "limit analysis of 0 width rectangles for integral", that those Old Math idiots could never understand there exists 3rd dimension calculus.
True mathematics is a subject that is always easy, clear, and comprehensible. Old Math never had a program of "let us make the subject easy and clear and accessible to all". Old Math was about fame and fortune for a grubby few arrogant and ignorant fame seekers to those seeking fame and fortune by adding fake math, incomprehensible, hard, worthless, at the expense of torturing young students who all they wanted was a foundation understanding of true mathematics.
Old Math cared more about having a few kooks run out and about, getting fame and fortune by piling incomprehensible trash onto mathematics, than it ever cared about going into a classroom and teaching math that everyone can understand. Of the four hard sciences, physics, chemistry, biology, mathematics, there is no reason in the entire world, that math is the easiest of those 4 sciences. The only reason today, that math is not the easiest of those four sciences, is because after Descartes for 5 centuries now, mathematics was given over to kooks of math who sought for fame and fortune at the expense of keeping math simple and easy. Kooks of math filling up math so that math is now in 2020 a gaggle of kook ridden incomprehensible garbage. Ask your local kook math professor why he/she holds onto Boole logic with his 10 OR 4 = 14 when you know well that 10 AND 4 = 14. Ask your local kook math professor why he keeps teaching ellipse is a conic when you can show him on the spot with a paper cone and a lid that the slant cut is a oval, never a ellipse. And ask your local kook math professor why he/she never is able to give you a geometry proof of Fundamental Theorem of Calculus. And the answer is always-- they are kooks of math, not mathematicians.
This list is ongoing, and is a bulletin-board of errors of Old Math and useful for Teaching True Mathematics. I insert this list as a guide. To show students what math to avoid, to steer away from, as a total fake and waste of time.
AP
King of Science
Read my recent posts in peace and quiet.
https://groups.google.com/forum/?hl=en#!forum/plutonium-atom-universe
Archimedes Plutonium
Dan Christensen
Jan 19, 2021, 9:09:12 AM1/19/21
to
On Monday, January 18, 2021 at 7:32:10 PM UTC-5, Archimedes Plutonium wrote:
> List of 56 fakes & mistakes of AP's Math
>
> These can be found in AP's TEACHING FAKE MATHEMATICS series.
>
WARNING TO STUDENTS: Don't be a victim of AP's fake math and science
AP is a malicious troll who really, REALLY wants you to fail in school just like he must have so long ago (in the 60's?). Then he would like to recruit you to his sinister Atom God Cult of Failure. Think I'm making this up? IN HIS OWN WORDS:
AP's fake math that can only be designed to promote failure in schools:
“Primes do not exist, because the set they were borne from has no division.”
--June 29, 2020
“The last and largest finite number is 10^604.”
--June 3, 2015
“0 appears to be the last and largest finite number”
--June 9, 2015
“0/0 must be equal to 1.”
-- June 9, 2015
“0 is an infinite irrational number.”
--June 28, 2015
“No negative numbers exist.”
--December 22, 2018
“Rationals are not numbers.”
--May 18, 2019
“The value of sin(45 degrees) = 1.” (Actually, sin(45 degrees) = 0.707. tan(45 degrees) = 1.)
--May 31, 2019
AP deliberately and repeatedly presented the truth table for OR as the truth table for AND:
“New Logic
AND
T & T = T
T & F = T
F & T = T
F & F = F”
--November 9, 2019
According to AP's “chess board math,” an equilateral triangle is right-triangle.
--December 11, 2019
AP seeks aid of Russian agents to promote failure in schools:
"Please--Asking for help from Russia-- russian robots-- to create a new, true mathematics [sic]"
--November 9, 2017
And if that wasn't weird enough...
AP's sinister Atom God Cult
“The totality, everything that there is [the universe], is only 1 atom of plutonium [Pu]. There is nothing outside or beyond this one atom of plutonium.”
--April 4, 1994
“The Universe itself is one gigantic big atom.”
--November 14, 2019
“Since God-Pu is marching on.
Glory! Glory! Atom Plutonium!
Its truth is marching on.
It has sounded forth the trumpet that shall never call retreat;
It is sifting out the hearts of people before its judgment seat;
Oh, be swift, my soul, to answer it; be jubilant, my feet!
Our God-Pu is marching on.”
--December 15, 2018 (Note: Pu is the atomic symbol for plutonium)
Dan
Download my DC Proof 2.0 freeware at http://www.dcproof.com
Visit my Math Blog at http://www.dcproof.wordpress.com
> List of 56 fakes & mistakes of AP's Math
>
> These can be found in AP's TEACHING FAKE MATHEMATICS series.
>
WARNING TO STUDENTS: Don't be a victim of AP's fake math and science
AP is a malicious troll who really, REALLY wants you to fail in school just like he must have so long ago (in the 60's?). Then he would like to recruit you to his sinister Atom God Cult of Failure. Think I'm making this up? IN HIS OWN WORDS:
AP's fake math that can only be designed to promote failure in schools:
“Primes do not exist, because the set they were borne from has no division.”
--June 29, 2020
“The last and largest finite number is 10^604.”
--June 3, 2015
“0 appears to be the last and largest finite number”
--June 9, 2015
“0/0 must be equal to 1.”
-- June 9, 2015
“0 is an infinite irrational number.”
--June 28, 2015
“No negative numbers exist.”
--December 22, 2018
“Rationals are not numbers.”
--May 18, 2019
“The value of sin(45 degrees) = 1.” (Actually, sin(45 degrees) = 0.707. tan(45 degrees) = 1.)
--May 31, 2019
AP deliberately and repeatedly presented the truth table for OR as the truth table for AND:
“New Logic
AND
T & T = T
T & F = T
F & T = T
F & F = F”
--November 9, 2019
According to AP's “chess board math,” an equilateral triangle is right-triangle.
--December 11, 2019
AP seeks aid of Russian agents to promote failure in schools:
"Please--Asking for help from Russia-- russian robots-- to create a new, true mathematics [sic]"
--November 9, 2017
And if that wasn't weird enough...
AP's sinister Atom God Cult
“The totality, everything that there is [the universe], is only 1 atom of plutonium [Pu]. There is nothing outside or beyond this one atom of plutonium.”
--April 4, 1994
“The Universe itself is one gigantic big atom.”
--November 14, 2019
“Since God-Pu is marching on.
Glory! Glory! Atom Plutonium!
Its truth is marching on.
It has sounded forth the trumpet that shall never call retreat;
It is sifting out the hearts of people before its judgment seat;
Oh, be swift, my soul, to answer it; be jubilant, my feet!
Our God-Pu is marching on.”
--December 15, 2018 (Note: Pu is the atomic symbol for plutonium)
Dan
Download my DC Proof 2.0 freeware at http://www.dcproof.com
Visit my Math Blog at http://www.dcproof.wordpress.com
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