John Gabriel
I am a genius who discovered the New Calculus - the first and only rigorous formulation of calculus in human history, and quite possibly the greatest mathematician of all time. The New Calculus is based entirely on the sound concepts of geometry. There is no Newtonian drivel like infinity or Leibnizian drivel such as infinitesimals, nor yet the circular rot of limit theory that has been peddled by the mainstream mathematics idiots of the last 200 years.
Newton's greatest accomplishment was his discovery of the sine and cosine series. The rest of his work in mathematics is mediocre. Newton's series compared to my closed form trigonometric formula make him appear to be intellectually challenged.
Leibniz was trying to well define differentials and derivatives, but because he didn't know what he was doing, he obfuscated the progress and study of calculus. Introducing his nonsense of infinitesimals served no good at all. If either of these clowns are called "fathers of calculus", then I must be the God of Calculus.
My historic geometric theorem exposes the ignorance of both these men and of course the fools who came after them:
https://www.academia.edu/62358358/My_historic_geometric_theorem_of_January_2020
Unfortunately, I am the most persecuted mathematician. My enemies in mainstream mathematics academia are arrogant, ignorant, incompetent, incorrigibly stupid and pathologically jealous. The more I expose mainstream stupidity and error, the more I am hated for it.
An introduction to the single variable New Calculus:
https://www.academia.edu/41616655/An_Introduction_to_the_Single_Variable_New_Calculus
In January 2020, I discovered a historic geometric theorem inspired by my New Calculus which led to a formulation with exactly the same results as mainstream calculus, however without ill-formed concepts such as infinity, infinitesimals and the circular rot of limit theory. See URL above.
Official New Calculus Site (survived 6 shut downs by mainstream enemies):
http://thenewcalculus.weebly.com
YouTube Channel:
https://www.youtube.com/c/JohnGabriel/videos
Some of my articles(Google forces you to send me a Share Request):
https://drive.google.com/open?id=0B-mOEooW03iLUUlFR0ZwMjNNVjg
Articles published on LinkedIn now available here (after I was banned from LinkedIn):
https://drive.google.com/drive/folders/0B-mOEooW03iLcmRkcUwweXRUckE
Applets:
https://drive.google.com/drive/folders/0B-mOEooW03iLd1Z2cVRtOElpYms
As for modern Greek academics, they are not even a shadow of my ancestors, the Ancient Greeks. The majority have been brainwashed at Western Universities and as a result are prize idiots who should have known better.
Bio: I am the fourth of six children and was born in North Africa to a Jew father and a Greek mother. My father was not a practicing Jew, and my mother was not a practicing Christian.
We fled to the island of Lesvos in Greece shortly before civil war broke out in the Sudan. My beloved mother was a pure Greek from Lesvos. I never had a good relationship with my father. There were times when I hated him.
Lesvos was our home for approximately two years and then we immigrated to South Africa where I went to school. Going from North Africa to South Africa was going from the frying pan into the fire because it wasn't long before racial turmoil turned the country upside down. My idiot father was a supporter of the nationalist party (the Apartheid regime) in South Africa. In some respects, he was more racist than the staunchest Afrikaner.
I left South Africa in my mid-twenties to work abroad (UK and Middle East). It wasn't long before I ended up in the United States which became my home.
I have lived and worked in many countries and have held the citizenship of several. As of now, I am a US citizen and I also hold the citizenship of one European country (Cyprus). In the US I worked as a software developer for several years before I began to teach mathematics.
I was officially homeless in 2016. Although I have temporary shelter, I am still without my own home. You can donate at this link if you are interested in helping my cause and thank me for enlightening you:
https://gofund.me/af8a5312
Please, please, I have no time for fools. Read the following carefully!
I generally do not care for your opinions and unless you are exceptionally intelligent (IQ at least above 140), you should probably not even bother to contact me, even then I don't actually care for your opinions but might read your questions.
Want to get instant updates for the newest math around? Join our discord server! https://discord.gg/CJ9Ks3WerR
Newton's greatest accomplishment was his discovery of the sine and cosine series. The rest of his work in mathematics is mediocre. Newton's series compared to my closed form trigonometric formula make him appear to be intellectually challenged.
Leibniz was trying to well define differentials and derivatives, but because he didn't know what he was doing, he obfuscated the progress and study of calculus. Introducing his nonsense of infinitesimals served no good at all. If either of these clowns are called "fathers of calculus", then I must be the God of Calculus.
My historic geometric theorem exposes the ignorance of both these men and of course the fools who came after them:
https://www.academia.edu/62358358/My_historic_geometric_theorem_of_January_2020
Unfortunately, I am the most persecuted mathematician. My enemies in mainstream mathematics academia are arrogant, ignorant, incompetent, incorrigibly stupid and pathologically jealous. The more I expose mainstream stupidity and error, the more I am hated for it.
An introduction to the single variable New Calculus:
https://www.academia.edu/41616655/An_Introduction_to_the_Single_Variable_New_Calculus
In January 2020, I discovered a historic geometric theorem inspired by my New Calculus which led to a formulation with exactly the same results as mainstream calculus, however without ill-formed concepts such as infinity, infinitesimals and the circular rot of limit theory. See URL above.
Official New Calculus Site (survived 6 shut downs by mainstream enemies):
http://thenewcalculus.weebly.com
YouTube Channel:
https://www.youtube.com/c/JohnGabriel/videos
Some of my articles(Google forces you to send me a Share Request):
https://drive.google.com/open?id=0B-mOEooW03iLUUlFR0ZwMjNNVjg
Articles published on LinkedIn now available here (after I was banned from LinkedIn):
https://drive.google.com/drive/folders/0B-mOEooW03iLcmRkcUwweXRUckE
Applets:
https://drive.google.com/drive/folders/0B-mOEooW03iLd1Z2cVRtOElpYms
As for modern Greek academics, they are not even a shadow of my ancestors, the Ancient Greeks. The majority have been brainwashed at Western Universities and as a result are prize idiots who should have known better.
Bio: I am the fourth of six children and was born in North Africa to a Jew father and a Greek mother. My father was not a practicing Jew, and my mother was not a practicing Christian.
We fled to the island of Lesvos in Greece shortly before civil war broke out in the Sudan. My beloved mother was a pure Greek from Lesvos. I never had a good relationship with my father. There were times when I hated him.
Lesvos was our home for approximately two years and then we immigrated to South Africa where I went to school. Going from North Africa to South Africa was going from the frying pan into the fire because it wasn't long before racial turmoil turned the country upside down. My idiot father was a supporter of the nationalist party (the Apartheid regime) in South Africa. In some respects, he was more racist than the staunchest Afrikaner.
I left South Africa in my mid-twenties to work abroad (UK and Middle East). It wasn't long before I ended up in the United States which became my home.
I have lived and worked in many countries and have held the citizenship of several. As of now, I am a US citizen and I also hold the citizenship of one European country (Cyprus). In the US I worked as a software developer for several years before I began to teach mathematics.
I was officially homeless in 2016. Although I have temporary shelter, I am still without my own home. You can donate at this link if you are interested in helping my cause and thank me for enlightening you:
https://gofund.me/af8a5312
Please, please, I have no time for fools. Read the following carefully!
I generally do not care for your opinions and unless you are exceptionally intelligent (IQ at least above 140), you should probably not even bother to contact me, even then I don't actually care for your opinions but might read your questions.
Want to get instant updates for the newest math around? Join our discord server! https://discord.gg/CJ9Ks3WerR
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Videos by John Gabriel
Whilst my theorem provides a sound formulation that produces IDENTICAL results to the flawed mainstream formulation of calculus, it is by no means as rigorous and powerful as my New Calculus. For example, you couldn't define the Gabriel Polynomial using the broken derivative definition in mainstream calculus. There are many other features (such as the auxiliary equation) and theorems not known by mainstream math academics who are profound idiots.
Link to presentation:
https://drive.google.com/file/d/1qXjqzxXAwHWbTLdW0YIkZ_J1ePK8Fn4L
Original YT video link:
https://youtu.be/TJqvbshIGtg
I prove very simply that the range of any derivative function is either (-π/2 ; π/2) or a subset of (-π/2 ; π/2), using the foundational symmetric object called a circle. You can download the applet and try it out with any function you like. You will see that the derivative function plotted in terms of angle rather than rise/run always has the same range or a subset of the range (-π/2 ; π/2).
There are no axioms or postulates in sound mathematics:
https://www.academia.edu/45567545/There_are_no_postulates_or_axioms_in_Greek_mathematics
Link to applet used in video:
https://drive.google.com/file/d/1BO6HDTOVwesMkqKyg7qqY7hZhgFzb294
My historic geometric theorem:
https://www.academia.edu/62358358/My_historic_geometric_theorem_of_January_2020
https://drive.google.com/open?id=0B-mOEooW03iLNXFJS0t4MEJydTA
A PDF of the amazing 5-step MIT mathematical proof:
https://drive.google.com/open?id=1K-aAXuSB-jPPMx_I-3USl4ehs8_TWDdb
The 5 Step method is outlined below and it summarises the mindset of most of the idiots from MIT:
1. Assumption of fact
2. Hypothesis
3. Probability
4. Suspicion
5. Verification
So much for Ivy League universities that produce graduates who can't think for themselves.
ε and δ are related and either can be expressed in terms of the other. (ε,δ) lies on a circle because ε^2+δ^2 = r^2 where r is the circle radius and r^2=c^2 + x^2 -2xc + f(x)^2 - 2f(x)L + L^2. The distances |x-c| and |f(x)-L| are normalised to fit inside the circle.
My theorem tells us that we can use the same approach with any given smooth function, meaning that there is never a need to waste time with ε and δ inequalities.
Link to applet:
https://drive.google.com/file/d/1R6uV655Yk4mWlP-QzHQvTAAbvXAKeTPB
https://www.academia.edu/89794682/Understanding_the_concept_of_number_in_just_2_pages
One can't define abstract numbers without the monad (abstract UNIT, Book VII, Definition I) because natural numbers are MEASURES of special kinds of ratios, that is, ones where the antecedent (numerator) is a multiple of the abstract unit, and the abstract unit is the consequent (denominator). The whole idea of the Monad (abstract UNIT) is to do away with having to choose a unit magnitude every time.
https://drive.google.com/file/d/1h4MyZzucLlu1y23L9nFfBC19uJZyRoeG
How a genius realises the concept of number:
(following article is a MUST read for math academics!)
https://drive.google.com/file/d/1FDxd79p3ZF3pfr8VRDl7R9nqcWeWsdfu
Also, a must read - What exactly does it mean to be a number?
https://drive.google.com/file/d/1kU_QXEIT28efbQ2URrJydQrmtvihSRqq
Is pi a number?
https://drive.google.com/file/d/1FFg_9XCkIwTZ9N1jbU4oMYfHHHuFHYf3
The true story of how we got numbers (banned article from LinkedIn):
https://drive.google.com/file/d/0B-mOEooW03iLYTg1TGY4RTIwakU
My free eBook:
https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO
Papers by John Gabriel
Not a single mainstream mathematics academic has ever been able to point out any flaw in the New Calculus. Ironically, mainstream calculus is a flawed formulation in almost every respect and has never been rigorous.
The New Calculus is not just a “reformulation”, it is the FIRST rigorous formulation of calculus in history. It contains advanced concepts and theorems such as the Gabriel Polynomial and Auxiliary Equation which are both not possible in mainstream calculus and do not transfer in any way because the mainstream calculus uses flawed definitions that would not work in these new concepts. For example, the mainstream derivative cannot be used in the Gabriel Polynomial.
https://www.amazon.com/dp/B0DDT2K1PS
As I am a genius, I realise how difficult it is for lower mortals to gain understanding and learn the right way. I wrote this book for average Joes - just like YOU! Humour me - buy the book. You won't be sorry.
www.academia.edu/120915959/Arithmetic_without_numbers
His entire efforts were devoted to identifying angles UNIQUELY with the goal of using them in further angle and distance calculations.
It's one thing to call me a crank, psychopath, narcissist and many other non-flattering names, but quite another to actually show any error in my claims. The idiots continue to libel me, but their embarrassment is going to be much greater in the future because fact and truth can't remain suppressed just in order for them to safeguard their tenures.
Much easier to admit they're wrong now even though it will be painful, and I will in no way allow them to back out gracefully. They are underserving scum who must be called out indefinitely because their beliefs are not mathematics.
Συμπερασματικά, η λέξη «λόγος» σημαίνει κυριολεκτικά τη σύγκριση δύο μεγεθών, και κάτα ποια σχέσις είναι «αναλογία»: δηλαδή ιδιότητα πηλικότητάς.
The document examines the origin and conceptual foundation of numbers, focusing on their derivation from ratios and measurements.
Key Points:
Qualitative Measures Before Numbers:
Initially, measures were qualitative, represented by comparing parts of a ratio (antecedent and consequent).
Quotientness:
A ratio possesses "quotientness" if its parts can be measured by the same equal part, meaning it has a common divisor (Euclid’s Elements, Book V).
Counting and Natural Numbers:
We learn to count by choosing a ratio whose parts are equal. A ratio like 1:1 is called "one" or "1".
By increasing the antecedent by the length of the consequent in steps, we gain the counting numbers (natural numbers).
Definition of a Number:
A number is a name given to a measure that describes a ratio of magnitudes.
Fractions:
Given any ratio with quotientness, we can count the members in each part, leading to the formation of fractions.
Unmeasurable Ratios:
For ratios that can't be measured by a common part (e.g., square diagonal to side, circle circumference to diameter), no number represents their measure.
Constant 𝜋:
𝜋 is not a number but a constant representing the failed measure of a ratio.
Discovery of Numbers:
Numbers are discovered as well-formed concepts through understanding and measuring ratios.
Example Illustrations:
Counting Numbers:
To find the number 4, consider the ratio ******** : ** (8:2). By counting how many times the unit ** fits into ********, we get 4.
Fraction as Measure:
The ratio:
*** : **** (3:4) can be measured by counting the common parts, leading to the fraction
3/4.
Unmeasurable Ratios:
For the ratio of a square's diagonal to its side, there is no common unit that measures both, illustrating the concept of irrationality.
Conclusion:
The document emphasizes that numbers, both natural and fractional, arise from the process of measuring ratios. When ratios cannot be measured exactly, such as with
sqrt(2) or 𝜋, these are not considered numbers in the strictest sense but constants representing failed measures.
The great geometer Apollonius fortunately proved this is true for any conic and hence ANY other curve by implication. The idiots of mainstream mathematics academia think they know better and have arrogantly "dismissed" Apollonius whose genius far surpasses any of the morons who came after Euclid. Just imagine! Mainstream idiots followed the ideas of that stupid bum Gottfried Leibniz who claimed a tangent line passes through two infinitely clos points and therefore can cross at the point of tangency.
Whilst my theorem provides a sound formulation that produces IDENTICAL results to the flawed mainstream formulation of calculus, it is by no means as rigorous and powerful as my New Calculus. For example, you couldn't define the Gabriel Polynomial using the broken derivative definition in mainstream calculus. There are many other features (such as the auxiliary equation) and theorems not known by mainstream math academics who are profound idiots.
Link to presentation:
https://drive.google.com/file/d/1qXjqzxXAwHWbTLdW0YIkZ_J1ePK8Fn4L
Original YT video link:
https://youtu.be/TJqvbshIGtg
I prove very simply that the range of any derivative function is either (-π/2 ; π/2) or a subset of (-π/2 ; π/2), using the foundational symmetric object called a circle. You can download the applet and try it out with any function you like. You will see that the derivative function plotted in terms of angle rather than rise/run always has the same range or a subset of the range (-π/2 ; π/2).
There are no axioms or postulates in sound mathematics:
https://www.academia.edu/45567545/There_are_no_postulates_or_axioms_in_Greek_mathematics
Link to applet used in video:
https://drive.google.com/file/d/1BO6HDTOVwesMkqKyg7qqY7hZhgFzb294
My historic geometric theorem:
https://www.academia.edu/62358358/My_historic_geometric_theorem_of_January_2020
https://drive.google.com/open?id=0B-mOEooW03iLNXFJS0t4MEJydTA
A PDF of the amazing 5-step MIT mathematical proof:
https://drive.google.com/open?id=1K-aAXuSB-jPPMx_I-3USl4ehs8_TWDdb
The 5 Step method is outlined below and it summarises the mindset of most of the idiots from MIT:
1. Assumption of fact
2. Hypothesis
3. Probability
4. Suspicion
5. Verification
So much for Ivy League universities that produce graduates who can't think for themselves.
ε and δ are related and either can be expressed in terms of the other. (ε,δ) lies on a circle because ε^2+δ^2 = r^2 where r is the circle radius and r^2=c^2 + x^2 -2xc + f(x)^2 - 2f(x)L + L^2. The distances |x-c| and |f(x)-L| are normalised to fit inside the circle.
My theorem tells us that we can use the same approach with any given smooth function, meaning that there is never a need to waste time with ε and δ inequalities.
Link to applet:
https://drive.google.com/file/d/1R6uV655Yk4mWlP-QzHQvTAAbvXAKeTPB
https://www.academia.edu/89794682/Understanding_the_concept_of_number_in_just_2_pages
One can't define abstract numbers without the monad (abstract UNIT, Book VII, Definition I) because natural numbers are MEASURES of special kinds of ratios, that is, ones where the antecedent (numerator) is a multiple of the abstract unit, and the abstract unit is the consequent (denominator). The whole idea of the Monad (abstract UNIT) is to do away with having to choose a unit magnitude every time.
https://drive.google.com/file/d/1h4MyZzucLlu1y23L9nFfBC19uJZyRoeG
How a genius realises the concept of number:
(following article is a MUST read for math academics!)
https://drive.google.com/file/d/1FDxd79p3ZF3pfr8VRDl7R9nqcWeWsdfu
Also, a must read - What exactly does it mean to be a number?
https://drive.google.com/file/d/1kU_QXEIT28efbQ2URrJydQrmtvihSRqq
Is pi a number?
https://drive.google.com/file/d/1FFg_9XCkIwTZ9N1jbU4oMYfHHHuFHYf3
The true story of how we got numbers (banned article from LinkedIn):
https://drive.google.com/file/d/0B-mOEooW03iLYTg1TGY4RTIwakU
My free eBook:
https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO
Not a single mainstream mathematics academic has ever been able to point out any flaw in the New Calculus. Ironically, mainstream calculus is a flawed formulation in almost every respect and has never been rigorous.
The New Calculus is not just a “reformulation”, it is the FIRST rigorous formulation of calculus in history. It contains advanced concepts and theorems such as the Gabriel Polynomial and Auxiliary Equation which are both not possible in mainstream calculus and do not transfer in any way because the mainstream calculus uses flawed definitions that would not work in these new concepts. For example, the mainstream derivative cannot be used in the Gabriel Polynomial.
https://www.amazon.com/dp/B0DDT2K1PS
As I am a genius, I realise how difficult it is for lower mortals to gain understanding and learn the right way. I wrote this book for average Joes - just like YOU! Humour me - buy the book. You won't be sorry.
www.academia.edu/120915959/Arithmetic_without_numbers
His entire efforts were devoted to identifying angles UNIQUELY with the goal of using them in further angle and distance calculations.
It's one thing to call me a crank, psychopath, narcissist and many other non-flattering names, but quite another to actually show any error in my claims. The idiots continue to libel me, but their embarrassment is going to be much greater in the future because fact and truth can't remain suppressed just in order for them to safeguard their tenures.
Much easier to admit they're wrong now even though it will be painful, and I will in no way allow them to back out gracefully. They are underserving scum who must be called out indefinitely because their beliefs are not mathematics.
Συμπερασματικά, η λέξη «λόγος» σημαίνει κυριολεκτικά τη σύγκριση δύο μεγεθών, και κάτα ποια σχέσις είναι «αναλογία»: δηλαδή ιδιότητα πηλικότητάς.
The document examines the origin and conceptual foundation of numbers, focusing on their derivation from ratios and measurements.
Key Points:
Qualitative Measures Before Numbers:
Initially, measures were qualitative, represented by comparing parts of a ratio (antecedent and consequent).
Quotientness:
A ratio possesses "quotientness" if its parts can be measured by the same equal part, meaning it has a common divisor (Euclid’s Elements, Book V).
Counting and Natural Numbers:
We learn to count by choosing a ratio whose parts are equal. A ratio like 1:1 is called "one" or "1".
By increasing the antecedent by the length of the consequent in steps, we gain the counting numbers (natural numbers).
Definition of a Number:
A number is a name given to a measure that describes a ratio of magnitudes.
Fractions:
Given any ratio with quotientness, we can count the members in each part, leading to the formation of fractions.
Unmeasurable Ratios:
For ratios that can't be measured by a common part (e.g., square diagonal to side, circle circumference to diameter), no number represents their measure.
Constant 𝜋:
𝜋 is not a number but a constant representing the failed measure of a ratio.
Discovery of Numbers:
Numbers are discovered as well-formed concepts through understanding and measuring ratios.
Example Illustrations:
Counting Numbers:
To find the number 4, consider the ratio ******** : ** (8:2). By counting how many times the unit ** fits into ********, we get 4.
Fraction as Measure:
The ratio:
*** : **** (3:4) can be measured by counting the common parts, leading to the fraction
3/4.
Unmeasurable Ratios:
For the ratio of a square's diagonal to its side, there is no common unit that measures both, illustrating the concept of irrationality.
Conclusion:
The document emphasizes that numbers, both natural and fractional, arise from the process of measuring ratios. When ratios cannot be measured exactly, such as with
sqrt(2) or 𝜋, these are not considered numbers in the strictest sense but constants representing failed measures.
The great geometer Apollonius fortunately proved this is true for any conic and hence ANY other curve by implication. The idiots of mainstream mathematics academia think they know better and have arrogantly "dismissed" Apollonius whose genius far surpasses any of the morons who came after Euclid. Just imagine! Mainstream idiots followed the ideas of that stupid bum Gottfried Leibniz who claimed a tangent line passes through two infinitely clos points and therefore can cross at the point of tangency.
The presentation is not for idiots like mathematics professors and teachers who cannot be corrected because they are incorrigibly stupid.
Ο λογισμός δεν αφορά τη θεωρία ορίων και δεν το απαιτεί καθόλου, ... και ακόμα, ο λογισμός δεν απαιτεί κακοσχηματισμένες έννοιες όπως το άπειρο και τα απειροελάχιστα που δεν είναι ο λόγος για τον οποίο λειτουργεί.
In this article, I teach ChatGPT the basic of Radical Unit Angle (RUA) in an introduction. To my surprise, ChatGPT exceeded my expectations.
Educators can use this chat to teach the concepts.
The operation of division is a measure.
The fools who run Academia.edu mixed up the original PDF with another PDF on a different topic. If you find a different PDF, you can download "An Introduction to the single variable new calculus" for free here:
https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO/view
The New Calculus is based on well-formed concepts only. There is no use of infinity, infinitesimals or the flawed theory of limits.
From the New Calculus, which was the first rigorous formulation, a second rigorous formulation was realised:
The Historic Geometric theorem of January 2020:
https://www.academia.edu/62358358/My_historic_geometric_theorem_of_January_2020
About the book: The book is based on a collection of certain old research papers which I collated and rearranged in such a way as to convey the basic concepts of the New Calculus. This is not the best possible way to write such a book, but I hate writing and even this project took a lot of effort on my part. My eyesight is not too good anymore and so even if I liked to write, this would be a futile task.
The Single New Calculus can be extended in the same way to multivariable and vector calculus in the same way as mainstream calculus, including all the theorems and much more. However, I have not published all the advanced concepts, nor have I shared all the new theorems which in most cases are not possible using the flawed mainstream calculus. For example, the Gabriel Polynomial is one such advanced feature I did choose to share.