Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).

The dark ages were a particularly trying time for humanity, but the brilliant French mathematician Rene Descartes returned to the light and beauty of Greek thought and made it possible for commoners to learn mathematics with his Cartesian plane. Sadly, Descartes was the last great French mathematician. Those who came after were not even comparable to his brilliance.

Unfortunately, a great calamity took place in France with a group of morons who called themselves Nicholas Bourbaki. Mathematics was about to undergo a savage rendering.

How did the Ancient Greeks think? I give you a glimpse into their unmatched brilliance in my article:

https://drive.google.com/file/d/1hasWyQCZyRN3RkdvIB6bnGIVV2Rabz8w

You obtain the arithmetic operations in algebra from <<geometry>>, but you cannot do this the other way round. For example, you can't start studying mathematics as the mainstream does incorrectly, ie, by stating that |N is the first kind of number (FALSE!) and then Q, etc. One can't also explain why
p/q x r/s = pr/qs in algebra, but this can be explained constructively and precisely in geometry. Most professors of mathematics do not understand why p/q x r/s = pr/qs, they learned these things rote fashion. They indoctrinate their ignorant students by telling them that this is a definition, but it's nothing of the sort!

Arithmetic has an interesting history never before told by the morons of mainstream math academia, simply because they didn't know and were too stupid to realise. In my video I explain the four basic arithmetic operations in geometry and why it is that you can do what you do in algebra:

https://youtu.be/h_RtgDExaIY

It seems we are heading into another dark age with the perverted set theory of mathematics and a pandemic out of control. It's a shame and a tragedy if humans repeat the same mistakes that led to the dark ages.

For the first rigorous formulation of calculus, download my free eBook:

https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO

You can't read through it as you would any mainstream math textbook which is mostly incoherent gibberish written by my intellectual inferiors - mainstream math professors who are cranks in every sense of the word. You have to read through it many times and study it carefully.

The book is not the best written book (it's just a collection of some papers rearranged and updated), but if you persist, you will learn more than you learned in all your school and university years.

Please ignore the super-troll and crank Dan Christensen, Malum, Klyver and fellow cranks, who will no doubt pollute this thread as he does all others.

I am the great John Gabriel and I do know better than you or anyone else. I can show you the path to understanding but only you can walk it!

John Gabriel, aka Eram semper recta wrote:
> Whilst the Anglo-Saxons were constructing Stonehenge

Stonehenge was not build by Anglo-Saxons.

On Wednesday, 15 September 2021 at 10:59:22 UTC+3, Python wrote:
> John Gabriel, aka Eram semper recta wrote:
> > Whilst the Anglo-Saxons were constructing Stonehenge
> Stonehenge was not build by Anglo-Saxons.

Druids were Celts, so Anglo-Saxon? Who gives a shit anyway - they were in the country that would lead the industrial revolution many centuries later.

onsdag 15 september 2021 kl. 09:35:56 UTC+2 skrev Eram semper recta:
> Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).
>
> The dark ages were a particularly trying time for humanity, but the brilliant French mathematician Rene Descartes returned to the light and beauty of Greek thought and made it possible for commoners to learn mathematics with his Cartesian plane. Sadly, Descartes was the last great French mathematician. Those who came after were not even comparable to his brilliance.
>
> Unfortunately, a great calamity took place in France with a group of morons who called themselves Nicholas Bourbaki. Mathematics was about to undergo a savage rendering.
>
> How did the Ancient Greeks think? I give you a glimpse into their unmatched brilliance in my article:
>
> https://drive.google.com/file/d/1hasWyQCZyRN3RkdvIB6bnGIVV2Rabz8w
>
> You obtain the arithmetic operations in algebra from <<geometry>>, but you cannot do this the other way round. For example, you can't start studying mathematics as the mainstream does incorrectly, ie, by stating that |N is the first kind of number (FALSE!) and then Q, etc. One can't also explain why
> p/q x r/s = pr/qs in algebra, but this can be explained constructively and precisely in geometry. Most professors of mathematics do not understand why p/q x r/s = pr/qs, they learned these things rote fashion. They indoctrinate their ignorant students by telling them that this is a definition, but it's nothing of the sort!
>
> Arithmetic has an interesting history never before told by the morons of mainstream math academia, simply because they didn't know and were too stupid to realise. In my video I explain the four basic arithmetic operations in geometry and why it is that you can do what you do in algebra:
>
> https://youtu.be/h_RtgDExaIY
>
> It seems we are heading into another dark age with the perverted set theory of mathematics and a pandemic out of control. It's a shame and a tragedy if humans repeat the same mistakes that led to the dark ages.
>
> For the first rigorous formulation of calculus, download my free eBook:
>
> https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO
>
> You can't read through it as you would any mainstream math textbook which is mostly incoherent gibberish written by my intellectual inferiors - mainstream math professors who are cranks in every sense of the word. You have to read through it many times and study it carefully.
>
> The book is not the best written book (it's just a collection of some papers rearranged and updated), but if you persist, you will learn more than you learned in all your school and university years.
>
> Please ignore the super-troll and crank Dan Christensen, Malum, Klyver and fellow cranks, who will no doubt pollute this thread as he does all others.
>
> I am the great John Gabriel and I do know better than you or anyone else. I can show you the path to understanding but only you can walk it!
p/q x r/s = pr/(qs) holds by definition.

STUDENTS BEWARE: Don't be a victim of JG's fake math

On Wednesday, September 15, 2021 at 3:35:56 AM UTC-4, I am Super Rectum (aka John Gabriel (JG), Troll Boy) wrote:
> Over 2400 years ago, most of humanity was not too different from animals....

You would have felt right at home, Mr. Rectum. Ignorant and proud of it!

JG here claims to have a discovered a shortcut to mastering calculus without using limits. Unfortunately for him, this means he has no workable a definition of the derivative of a function. It blows up for functions as simple f(x)=|x|. Or even f(x)=0. As a result, he has had to ban 0, negative numbers and instantaneous rates of change rendering his goofy little system quite useless. What a moron!

Forget calculus. JG has also banned all axioms because he cannot even derive the most elementary results of basic arithmetic, e.g. 2+2=4. Such results require the use of axioms, so he must figure he's now off the hook. Again, what a moron!

Even at his advanced age (60+?), John Gabriel is STILL struggling with basic, elementary-school arithmetic. As he has repeatedly posted here:

"There are no points on a line."
--April 12, 2021

"Pi is NOT a number of ANY kind!"
--July 10, 2020

"1/2 not equal to 2/4"
--October 22, 2017

“1/3 does NOT mean 1 divided by 3 and never has meant that”
-- February 8, 2015

"3 =< 4 is nonsense.”
--October 28, 2017

"Zero is not a number."
-- Dec. 2, 2019

"0 is not required at all in mathematics, just like negative numbers."
-- Jan. 4, 2017

“There is no such thing as an empty set.”
--Oct. 4, 2019

“3 <=> 2 + 1 or 3 <=> 8 - 5, etc, are all propositions” (actually all are meaningless gibberish)
--Oct. 22, 2019

No math genius our JG, though he actually lists his job title as “mathematician” at Linkedin.com. Apparently, they do not verify your credentials.

Though really quite disturbing, interested readers should see: “About the spamming troll John Gabriel in his own words...” (lasted updated March 10, 2020) at https://groups.google.com/forum/#!msg/sci.math/PcpAzX5pDeY/1PDiSlK_BwAJ

Dan

Download my DC Proof 2.0 freeware at http://www.dcproof.com
Visit my Math Blog a http://www.dcproof.wordpress.com

On Wednesday, September 15, 2021 at 8:35:56 AM UTC+1, Eram semper recta wrote:

"Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums)."

A small point: Stonehenge was under construction about two millennia before the Parthenon. The culture that built it was pre-Celtic, sometimes referred to as the 'beaker culture' (not much seems to be known about them).

"The dark ages were a particularly trying time for humanity, but the brilliant French mathematician Rene Descartes returned to the light and beauty of Greek thought and made it possible for commoners to learn mathematics with his Cartesian plane. Sadly, Descartes was the last great French mathematician. Those who came after were not even comparable to his brilliance."

Undue reverence for the ancients arguably held Europe back for a substantial period. Fermat made a telling point when he apparently said:

"And perhaps, posterity will thank me for having shown it that the ancients did not know everything. "

And right he was; we should also be grateful for those great mathematicians after Descartes who showed the way to understanding the deeper secrets of the universe and better harnessing our world, through the language of calculus, probability analysis and abstract structures, that would eventually become contemporary mathematics; real analysis, differential geometry, stochastic analysis, topology, operations research, modern cryptography etc.

"Unfortunately, a great calamity took place in France with a group of morons who called themselves Nicholas Bourbaki. Mathematics was about to undergo a savage rendering."

I'm not a fan of Bourbaki style presentations, but they have their place and clarifying and presenting the logical structure of mathematics rigorously was an inevitable project as soon as it became apparent how limited ancient Greek intuitions were.

"You obtain the arithmetic operations in algebra from <<geometry>>, but you cannot do this the other way round. For example, you can't start studying mathematics as the mainstream does incorrectly, ie, by stating that |N is the first kind of number (FALSE!) and then Q, etc."

To begin studying geometry you arguably need the concept of individual and multiple (e.g. individual points, a pair of points etc.) beforehand, which would suggest at least some arithmetical notions were either prior to or at least conceptually independent or co-foundational with those of geometry. The evidence from cognitive psychology is that humans have two innate and distinct quantitative systems; a discrete one and a rough continuous one.

"One can't also explain why p/q x r/s = pr/qs in algebra, but this can be explained constructively and precisely in geometry. Most professors of mathematics do not understand why p/q x r/s = pr/qs, they learned these things rote fashion. They indoctrinate their ignorant students by telling them that this is a definition, but it's nothing of the sort!"

How satisfying it is depends on the ultimate purposes of the course. If the course is building up to understanding the set theoretic approach to mathematical structures then it is perfectly fine. As an aside I doubt I was alone in thinking through the geometric approach to understanding the multiplication of fractions when I was a student; I would expect quite a few people that end up being interested in the foundations of real analysis have thought about it to some extent.
"Arithmetic has an interesting history never before told by the morons of mainstream math academia, simply because they didn't know and were too stupid to realise."

The history of mathematical concepts has been studied in impressive detail for many years. If you think you have discovered something interesting and new you should send a paper to a history journal (I wonder what will happen....).

"It seems we are heading into another dark age with the perverted set theory of mathematics and a pandemic out of control. It's a shame and a tragedy if humans repeat the same mistakes that led to the dark ages."

Ha, ha, ha! Scientific progress continues year after year, thanks to the tools that modern mathematics has given us. What has held scientific civilization back has been a mixture of religious dogma, anti-intellectualism, giving too much credit to 'common sense' and in the past an unhealthy reverence for world views of ancient thinkers like Aristotle. The biggest intellectual perversions are not taking climate change seriously enough and not putting a lot more effort into medical research (such as medically countering the aging process); mathematics is fine.

"You can't read through it as you would any mainstream math textbook which is mostly incoherent gibberish written by my intellectual inferiors - mainstream math professors who are cranks in every sense of the word. You have to read through it many times and study it carefully."

Chuckle. When are we going to see that proof of your self-claimed IQ, Bottom Kitten 115? We have already established that your story about that is all over the place and that you don't seem to know what IQ scores even are. But feel free to try and prove us wrong when you grow enough of a spine to take a proper Mensa test:

https://www.us.mensa.org/

"I am the great John Gabriel and I do know better than you or anyone else. I can show you the path to understanding but only you can walk it!"

NPD is truly an ugly illness. Another good reason to take the Mensa test; some harsh reality in the form of a rejection letter might help loosen its grip.

Go for it champ.

Regards

QB

On Wednesday, September 15, 2021 at 12:35:56 AM UTC-7, Eram semper recta wrote:
> Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).
>
> The dark ages were a particularly trying time for humanity, but the brilliant French mathematician Rene Descartes returned to the light and beauty of Greek thought and made it possible for commoners to learn mathematics with his Cartesian plane. Sadly, Descartes was the last great French mathematician. Those who came after were not even comparable to his brilliance.
>
> Unfortunately, a great calamity took place in France with a group of morons who called themselves Nicholas Bourbaki. Mathematics was about to undergo a savage rendering.
>
> How did the Ancient Greeks think? I give you a glimpse into their unmatched brilliance in my article:
>
> https://drive.google.com/file/d/1hasWyQCZyRN3RkdvIB6bnGIVV2Rabz8w
>
> You obtain the arithmetic operations in algebra from <<geometry>>, but you cannot do this the other way round. For example, you can't start studying mathematics as the mainstream does incorrectly, ie, by stating that |N is the first kind of number (FALSE!) and then Q, etc. One can't also explain why
> p/q x r/s = pr/qs in algebra, but this can be explained constructively and precisely in geometry. Most professors of mathematics do not understand why p/q x r/s = pr/qs, they learned these things rote fashion. They indoctrinate their ignorant students by telling them that this is a definition, but it's nothing of the sort!
>
> Arithmetic has an interesting history never before told by the morons of mainstream math academia, simply because they didn't know and were too stupid to realise. In my video I explain the four basic arithmetic operations in geometry and why it is that you can do what you do in algebra:
>
> https://youtu.be/h_RtgDExaIY
>
> It seems we are heading into another dark age with the perverted set theory of mathematics and a pandemic out of control. It's a shame and a tragedy if humans repeat the same mistakes that led to the dark ages.
>
> For the first rigorous formulation of calculus, download my free eBook:
>
> https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO
>
> You can't read through it as you would any mainstream math textbook which is mostly incoherent gibberish written by my intellectual inferiors - mainstream math professors who are cranks in every sense of the word. You have to read through it many times and study it carefully.
>
> The book is not the best written book (it's just a collection of some papers rearranged and updated), but if you persist, you will learn more than you learned in all your school and university years.
>
> Please ignore the super-troll and crank Dan Christensen, Malum, Klyver and fellow cranks, who will no doubt pollute this thread as he does all others.
>
> I am the great John Gabriel and I do know better than you or anyone else. I can show you the path to understanding but only you can walk it!

Where did they get their math if it is not before man's mind?
There was a mathematical BB beginning...
The mathematical universe ages as it expands.
Where did that physical beginning math come from?
Is that not evidence against atheism Gabriel?

On Wednesday, 15 September 2021 at 20:16:37 UTC+3, markus...@gmail.com wrote:
> onsdag 15 september 2021 kl. 09:35:56 UTC+2 skrev Eram semper recta:
> > Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).
> >
> > The dark ages were a particularly trying time for humanity, but the brilliant French mathematician Rene Descartes returned to the light and beauty of Greek thought and made it possible for commoners to learn mathematics with his Cartesian plane. Sadly, Descartes was the last great French mathematician. Those who came after were not even comparable to his brilliance.
> >
> > Unfortunately, a great calamity took place in France with a group of morons who called themselves Nicholas Bourbaki. Mathematics was about to undergo a savage rendering.
> >
> > How did the Ancient Greeks think? I give you a glimpse into their unmatched brilliance in my article:
> >
> > https://drive.google.com/file/d/1hasWyQCZyRN3RkdvIB6bnGIVV2Rabz8w
> >
> > You obtain the arithmetic operations in algebra from <<geometry>>, but you cannot do this the other way round. For example, you can't start studying mathematics as the mainstream does incorrectly, ie, by stating that |N is the first kind of number (FALSE!) and then Q, etc. One can't also explain why
> > p/q x r/s = pr/qs in algebra, but this can be explained constructively and precisely in geometry. Most professors of mathematics do not understand why p/q x r/s = pr/qs, they learned these things rote fashion. They indoctrinate their ignorant students by telling them that this is a definition, but it's nothing of the sort!
> >
> > Arithmetic has an interesting history never before told by the morons of mainstream math academia, simply because they didn't know and were too stupid to realise. In my video I explain the four basic arithmetic operations in geometry and why it is that you can do what you do in algebra:
> >
> > https://youtu.be/h_RtgDExaIY
> >
> > It seems we are heading into another dark age with the perverted set theory of mathematics and a pandemic out of control. It's a shame and a tragedy if humans repeat the same mistakes that led to the dark ages.
> >
> > For the first rigorous formulation of calculus, download my free eBook:
> >
> > https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO
> >
> > You can't read through it as you would any mainstream math textbook which is mostly incoherent gibberish written by my intellectual inferiors - mainstream math professors who are cranks in every sense of the word. You have to read through it many times and study it carefully.
> >
> > The book is not the best written book (it's just a collection of some papers rearranged and updated), but if you persist, you will learn more than you learned in all your school and university years.
> >
> > Please ignore the super-troll and crank Dan Christensen, Malum, Klyver and fellow cranks, who will no doubt pollute this thread as he does all others.
> >
> > I am the great John Gabriel and I do know better than you or anyone else. I can show you the path to understanding but only you can walk it!
> p/q x r/s = pr/(qs) holds by definition.

Nonsense. It holds because of geometry.

onsdag 15 september 2021 kl. 22:01:30 UTC+2 skrev Eram semper recta:
> On Wednesday, 15 September 2021 at 20:16:37 UTC+3, markus...@gmail.com wrote:
> > onsdag 15 september 2021 kl. 09:35:56 UTC+2 skrev Eram semper recta:
> > > Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).
> > >
> > > The dark ages were a particularly trying time for humanity, but the brilliant French mathematician Rene Descartes returned to the light and beauty of Greek thought and made it possible for commoners to learn mathematics with his Cartesian plane. Sadly, Descartes was the last great French mathematician. Those who came after were not even comparable to his brilliance.
> > >
> > > Unfortunately, a great calamity took place in France with a group of morons who called themselves Nicholas Bourbaki. Mathematics was about to undergo a savage rendering.
> > >
> > > How did the Ancient Greeks think? I give you a glimpse into their unmatched brilliance in my article:
> > >
> > > https://drive.google.com/file/d/1hasWyQCZyRN3RkdvIB6bnGIVV2Rabz8w
> > >
> > > You obtain the arithmetic operations in algebra from <<geometry>>, but you cannot do this the other way round. For example, you can't start studying mathematics as the mainstream does incorrectly, ie, by stating that |N is the first kind of number (FALSE!) and then Q, etc. One can't also explain why
> > > p/q x r/s = pr/qs in algebra, but this can be explained constructively and precisely in geometry. Most professors of mathematics do not understand why p/q x r/s = pr/qs, they learned these things rote fashion. They indoctrinate their ignorant students by telling them that this is a definition, but it's nothing of the sort!
> > >
> > > Arithmetic has an interesting history never before told by the morons of mainstream math academia, simply because they didn't know and were too stupid to realise. In my video I explain the four basic arithmetic operations in geometry and why it is that you can do what you do in algebra:
> > >
> > > https://youtu.be/h_RtgDExaIY
> > >
> > > It seems we are heading into another dark age with the perverted set theory of mathematics and a pandemic out of control. It's a shame and a tragedy if humans repeat the same mistakes that led to the dark ages.
> > >
> > > For the first rigorous formulation of calculus, download my free eBook:
> > >
> > > https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO
> > >
> > > You can't read through it as you would any mainstream math textbook which is mostly incoherent gibberish written by my intellectual inferiors - mainstream math professors who are cranks in every sense of the word. You have to read through it many times and study it carefully.
> > >
> > > The book is not the best written book (it's just a collection of some papers rearranged and updated), but if you persist, you will learn more than you learned in all your school and university years.
> > >
> > > Please ignore the super-troll and crank Dan Christensen, Malum, Klyver and fellow cranks, who will no doubt pollute this thread as he does all others.
> > >
> > > I am the great John Gabriel and I do know better than you or anyone else. I can show you the path to understanding but only you can walk it!
> > p/q x r/s = pr/(qs) holds by definition.
> Nonsense. It holds because of geometry.
It holds per definition. That's how we define Q.

onsdag 15 september 2021 kl. 22:01:30 UTC+2 skrev Eram semper recta:
> On Wednesday, 15 September 2021 at 20:16:37 UTC+3, markus...@gmail.com wrote:
> > onsdag 15 september 2021 kl. 09:35:56 UTC+2 skrev Eram semper recta:
> > > Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).
> > >
> > > The dark ages were a particularly trying time for humanity, but the brilliant French mathematician Rene Descartes returned to the light and beauty of Greek thought and made it possible for commoners to learn mathematics with his Cartesian plane. Sadly, Descartes was the last great French mathematician. Those who came after were not even comparable to his brilliance.
> > >
> > > Unfortunately, a great calamity took place in France with a group of morons who called themselves Nicholas Bourbaki. Mathematics was about to undergo a savage rendering.
> > >
> > > How did the Ancient Greeks think? I give you a glimpse into their unmatched brilliance in my article:
> > >
> > > https://drive.google.com/file/d/1hasWyQCZyRN3RkdvIB6bnGIVV2Rabz8w
> > >
> > > You obtain the arithmetic operations in algebra from <<geometry>>, but you cannot do this the other way round. For example, you can't start studying mathematics as the mainstream does incorrectly, ie, by stating that |N is the first kind of number (FALSE!) and then Q, etc. One can't also explain why
> > > p/q x r/s = pr/qs in algebra, but this can be explained constructively and precisely in geometry. Most professors of mathematics do not understand why p/q x r/s = pr/qs, they learned these things rote fashion. They indoctrinate their ignorant students by telling them that this is a definition, but it's nothing of the sort!
> > >
> > > Arithmetic has an interesting history never before told by the morons of mainstream math academia, simply because they didn't know and were too stupid to realise. In my video I explain the four basic arithmetic operations in geometry and why it is that you can do what you do in algebra:
> > >
> > > https://youtu.be/h_RtgDExaIY
> > >
> > > It seems we are heading into another dark age with the perverted set theory of mathematics and a pandemic out of control. It's a shame and a tragedy if humans repeat the same mistakes that led to the dark ages.
> > >
> > > For the first rigorous formulation of calculus, download my free eBook:
> > >
> > > https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO
> > >
> > > You can't read through it as you would any mainstream math textbook which is mostly incoherent gibberish written by my intellectual inferiors - mainstream math professors who are cranks in every sense of the word. You have to read through it many times and study it carefully.
> > >
> > > The book is not the best written book (it's just a collection of some papers rearranged and updated), but if you persist, you will learn more than you learned in all your school and university years.
> > >
> > > Please ignore the super-troll and crank Dan Christensen, Malum, Klyver and fellow cranks, who will no doubt pollute this thread as he does all others.
> > >
> > > I am the great John Gabriel and I do know better than you or anyone else. I can show you the path to understanding but only you can walk it!
> > p/q x r/s = pr/(qs) holds by definition.
> Nonsense. It holds because of geometry.
we define it to be so for localizations of rings so it is by definition.

On Thursday, 16 September 2021 at 00:23:14 UTC+3, markus...@gmail.com wrote:
> onsdag 15 september 2021 kl. 22:01:30 UTC+2 skrev Eram semper recta:
> > On Wednesday, 15 September 2021 at 20:16:37 UTC+3, markus...@gmail.com wrote:
> > > onsdag 15 september 2021 kl. 09:35:56 UTC+2 skrev Eram semper recta:
> > > > Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).
> > > >
> > > > The dark ages were a particularly trying time for humanity, but the brilliant French mathematician Rene Descartes returned to the light and beauty of Greek thought and made it possible for commoners to learn mathematics with his Cartesian plane. Sadly, Descartes was the last great French mathematician. Those who came after were not even comparable to his brilliance..
> > > >
> > > > Unfortunately, a great calamity took place in France with a group of morons who called themselves Nicholas Bourbaki. Mathematics was about to undergo a savage rendering.
> > > >
> > > > How did the Ancient Greeks think? I give you a glimpse into their unmatched brilliance in my article:
> > > >
> > > > https://drive.google.com/file/d/1hasWyQCZyRN3RkdvIB6bnGIVV2Rabz8w
> > > >
> > > > You obtain the arithmetic operations in algebra from <<geometry>>, but you cannot do this the other way round. For example, you can't start studying mathematics as the mainstream does incorrectly, ie, by stating that |N is the first kind of number (FALSE!) and then Q, etc. One can't also explain why
> > > > p/q x r/s = pr/qs in algebra, but this can be explained constructively and precisely in geometry. Most professors of mathematics do not understand why p/q x r/s = pr/qs, they learned these things rote fashion. They indoctrinate their ignorant students by telling them that this is a definition, but it's nothing of the sort!
> > > >
> > > > Arithmetic has an interesting history never before told by the morons of mainstream math academia, simply because they didn't know and were too stupid to realise. In my video I explain the four basic arithmetic operations in geometry and why it is that you can do what you do in algebra:
> > > >
> > > > https://youtu.be/h_RtgDExaIY
> > > >
> > > > It seems we are heading into another dark age with the perverted set theory of mathematics and a pandemic out of control. It's a shame and a tragedy if humans repeat the same mistakes that led to the dark ages.
> > > >
> > > > For the first rigorous formulation of calculus, download my free eBook:
> > > >
> > > > https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO
> > > >
> > > > You can't read through it as you would any mainstream math textbook which is mostly incoherent gibberish written by my intellectual inferiors - mainstream math professors who are cranks in every sense of the word. You have to read through it many times and study it carefully.
> > > >
> > > > The book is not the best written book (it's just a collection of some papers rearranged and updated), but if you persist, you will learn more than you learned in all your school and university years.
> > > >
> > > > Please ignore the super-troll and crank Dan Christensen, Malum, Klyver and fellow cranks, who will no doubt pollute this thread as he does all others.
> > > >
> > > > I am the great John Gabriel and I do know better than you or anyone else. I can show you the path to understanding but only you can walk it!
> > > p/q x r/s = pr/(qs) holds by definition.
> > Nonsense. It holds because of geometry.

> It holds per definition.

As it is defined in <<geometry>>. The algebra is a direct result of a transfer from geometry.

> That's how we define Q.

Like I said, I would never allow you to define anything. You are simply too stupid and do not understand what it means for concepts to be well defined.. If you did, you wouldn't say stupid things like:

"h*f(x)/h means h is a factor of f(x)" - Markus Klyver (Chambers university)/Zelos Malum (Oops-Allah <Uppsala?> university)

On 9/15/2021 12:35 AM, Eram semper recta wrote:
> Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).
[...]

This comment is in pure jest John, however, do you have the pentagram
tattooed on your palm from birth in order to get into the secret
Pythagorean meetings of some of your ancestors? For some damn reason you
are making me think of the following scene:

https://youtu.be/U_ZHsk0-eF0?t=251

This is meant as a nice jolly comment, meant to get you to laugh, not
piss you off.

Have a musical heart in harmony!

On Thursday, 16 September 2021 at 08:40:17 UTC+3, Chris M. Thomasson wrote:
> On 9/15/2021 12:35 AM, Eram semper recta wrote:
> > Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).
> [...]
>
> This comment is in pure jest John, however, do you have the pentagram
> tattooed on your palm from birth in order to get into the secret
> Pythagorean meetings of some of your ancestors?

I am only 55% Greek. Father was around 55% Jew, 10% Sardinian, 15% Greek and 10% Copt. Don't know about the rest. Mother was mostly Greek (No Turkish or West Asian whatsoever). I do not have any tattoos on my body whatsoever. I find these to be ugly and contrary to popular opinion, tattoos take away from the beauty of a well-formed human body whether male or female.

> For some damn reason you
> are making me think of the following scene:
>
> https://youtu.be/U_ZHsk0-eF0?t=251
>
> This is meant as a nice jolly comment, meant to get you to laugh, not
> piss you off.
>
> Have a musical heart in harmony!

I did have a chuckle. :) It got funnier as he practised scales using the harp and flute...

torsdag 16 september 2021 kl. 07:21:56 UTC+2 skrev Eram semper recta:
> On Thursday, 16 September 2021 at 00:23:14 UTC+3, markus...@gmail.com wrote:
> > onsdag 15 september 2021 kl. 22:01:30 UTC+2 skrev Eram semper recta:
> > > On Wednesday, 15 September 2021 at 20:16:37 UTC+3, markus...@gmail.com wrote:
> > > > onsdag 15 september 2021 kl. 09:35:56 UTC+2 skrev Eram semper recta:
> > > > > Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).
> > > > >
> > > > > The dark ages were a particularly trying time for humanity, but the brilliant French mathematician Rene Descartes returned to the light and beauty of Greek thought and made it possible for commoners to learn mathematics with his Cartesian plane. Sadly, Descartes was the last great French mathematician. Those who came after were not even comparable to his brilliance.
> > > > >
> > > > > Unfortunately, a great calamity took place in France with a group of morons who called themselves Nicholas Bourbaki. Mathematics was about to undergo a savage rendering.
> > > > >
> > > > > How did the Ancient Greeks think? I give you a glimpse into their unmatched brilliance in my article:
> > > > >
> > > > > https://drive.google.com/file/d/1hasWyQCZyRN3RkdvIB6bnGIVV2Rabz8w
> > > > >
> > > > > You obtain the arithmetic operations in algebra from <<geometry>>, but you cannot do this the other way round. For example, you can't start studying mathematics as the mainstream does incorrectly, ie, by stating that |N is the first kind of number (FALSE!) and then Q, etc. One can't also explain why
> > > > > p/q x r/s = pr/qs in algebra, but this can be explained constructively and precisely in geometry. Most professors of mathematics do not understand why p/q x r/s = pr/qs, they learned these things rote fashion. They indoctrinate their ignorant students by telling them that this is a definition, but it's nothing of the sort!
> > > > >
> > > > > Arithmetic has an interesting history never before told by the morons of mainstream math academia, simply because they didn't know and were too stupid to realise. In my video I explain the four basic arithmetic operations in geometry and why it is that you can do what you do in algebra:
> > > > >
> > > > > https://youtu.be/h_RtgDExaIY
> > > > >
> > > > > It seems we are heading into another dark age with the perverted set theory of mathematics and a pandemic out of control. It's a shame and a tragedy if humans repeat the same mistakes that led to the dark ages.
> > > > >
> > > > > For the first rigorous formulation of calculus, download my free eBook:
> > > > >
> > > > > https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO
> > > > >
> > > > > You can't read through it as you would any mainstream math textbook which is mostly incoherent gibberish written by my intellectual inferiors - mainstream math professors who are cranks in every sense of the word. You have to read through it many times and study it carefully.
> > > > >
> > > > > The book is not the best written book (it's just a collection of some papers rearranged and updated), but if you persist, you will learn more than you learned in all your school and university years.
> > > > >
> > > > > Please ignore the super-troll and crank Dan Christensen, Malum, Klyver and fellow cranks, who will no doubt pollute this thread as he does all others.
> > > > >
> > > > > I am the great John Gabriel and I do know better than you or anyone else. I can show you the path to understanding but only you can walk it!
> > > > p/q x r/s = pr/(qs) holds by definition.
> > > Nonsense. It holds because of geometry.
>
> > It holds per definition.
> As it is defined in <<geometry>>. The algebra is a direct result of a transfer from geometry.
> > That's how we define Q.
> Like I said, I would never allow you to define anything. You are simply too stupid and do not understand what it means for concepts to be well defined. If you did, you wouldn't say stupid things like:
>
> "h*f(x)/h means h is a factor of f(x)" - Markus Klyver (Chambers university)/Zelos Malum (Oops-Allah <Uppsala?> university)
Q can be constructed as the fraction field of Z. That is, we localise Q around the zero ideal so that Q = Z*(Z\(0)). An element in Q is thus a formal fraction a/b with a, b integers and b not in (0). Multiplication in a localization is defined by p/q x r/s = pr/(qs). It is easy to prove that this is a well-defined operator.

The math is right where it contains no negative solutions.
That is only an overshooting by the subtraction operation...

On 9/16/2021 1:28 PM, mitchr...@gmail.com wrote:
> The math is right where it contains no negative solutions.
> That is only an overshooting by the subtraction operation...
>

Mr Rectum is from Africa, he is expert in Baboon Math.

torsdag 16 september 2021 kl. 07:21:56 UTC+2 skrev Eram semper recta:
> On Thursday, 16 September 2021 at 00:23:14 UTC+3, markus...@gmail.com wrote:
> > onsdag 15 september 2021 kl. 22:01:30 UTC+2 skrev Eram semper recta:
> > > On Wednesday, 15 September 2021 at 20:16:37 UTC+3, markus...@gmail.com wrote:
> > > > onsdag 15 september 2021 kl. 09:35:56 UTC+2 skrev Eram semper recta:
> > > > > Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).
> > > > >
> > > > > The dark ages were a particularly trying time for humanity, but the brilliant French mathematician Rene Descartes returned to the light and beauty of Greek thought and made it possible for commoners to learn mathematics with his Cartesian plane. Sadly, Descartes was the last great French mathematician. Those who came after were not even comparable to his brilliance.
> > > > >
> > > > > Unfortunately, a great calamity took place in France with a group of morons who called themselves Nicholas Bourbaki. Mathematics was about to undergo a savage rendering.
> > > > >
> > > > > How did the Ancient Greeks think? I give you a glimpse into their unmatched brilliance in my article:
> > > > >
> > > > > https://drive.google.com/file/d/1hasWyQCZyRN3RkdvIB6bnGIVV2Rabz8w
> > > > >
> > > > > You obtain the arithmetic operations in algebra from <<geometry>>, but you cannot do this the other way round. For example, you can't start studying mathematics as the mainstream does incorrectly, ie, by stating that |N is the first kind of number (FALSE!) and then Q, etc. One can't also explain why
> > > > > p/q x r/s = pr/qs in algebra, but this can be explained constructively and precisely in geometry. Most professors of mathematics do not understand why p/q x r/s = pr/qs, they learned these things rote fashion. They indoctrinate their ignorant students by telling them that this is a definition, but it's nothing of the sort!
> > > > >
> > > > > Arithmetic has an interesting history never before told by the morons of mainstream math academia, simply because they didn't know and were too stupid to realise. In my video I explain the four basic arithmetic operations in geometry and why it is that you can do what you do in algebra:
> > > > >
> > > > > https://youtu.be/h_RtgDExaIY
> > > > >
> > > > > It seems we are heading into another dark age with the perverted set theory of mathematics and a pandemic out of control. It's a shame and a tragedy if humans repeat the same mistakes that led to the dark ages.
> > > > >
> > > > > For the first rigorous formulation of calculus, download my free eBook:
> > > > >
> > > > > https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO
> > > > >
> > > > > You can't read through it as you would any mainstream math textbook which is mostly incoherent gibberish written by my intellectual inferiors - mainstream math professors who are cranks in every sense of the word. You have to read through it many times and study it carefully.
> > > > >
> > > > > The book is not the best written book (it's just a collection of some papers rearranged and updated), but if you persist, you will learn more than you learned in all your school and university years.
> > > > >
> > > > > Please ignore the super-troll and crank Dan Christensen, Malum, Klyver and fellow cranks, who will no doubt pollute this thread as he does all others.
> > > > >
> > > > > I am the great John Gabriel and I do know better than you or anyone else. I can show you the path to understanding but only you can walk it!
> > > > p/q x r/s = pr/(qs) holds by definition.
> > > Nonsense. It holds because of geometry.
>
> > It holds per definition.
> As it is defined in <<geometry>>. The algebra is a direct result of a transfer from geometry.
> > That's how we define Q.
> Like I said, I would never allow you to define anything. You are simply too stupid and do not understand what it means for concepts to be well defined. If you did, you wouldn't say stupid things like:
>
> "h*f(x)/h means h is a factor of f(x)" - Markus Klyver (Chambers university)/Zelos Malum (Oops-Allah <Uppsala?> university)

historically you might have a point. But in modern construction geometry comes from algebra.

On Thursday, 16 September 2021 at 20:33:40 UTC+3, markus...@gmail.com wrote:
> torsdag 16 september 2021 kl. 07:21:56 UTC+2 skrev Eram semper recta:
> > On Thursday, 16 September 2021 at 00:23:14 UTC+3, markus...@gmail.com wrote:
> > > onsdag 15 september 2021 kl. 22:01:30 UTC+2 skrev Eram semper recta:
> > > > On Wednesday, 15 September 2021 at 20:16:37 UTC+3, markus...@gmail.com wrote:
> > > > > onsdag 15 september 2021 kl. 09:35:56 UTC+2 skrev Eram semper recta:
> > > > > > Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).
> > > > > >
> > > > > > The dark ages were a particularly trying time for humanity, but the brilliant French mathematician Rene Descartes returned to the light and beauty of Greek thought and made it possible for commoners to learn mathematics with his Cartesian plane. Sadly, Descartes was the last great French mathematician. Those who came after were not even comparable to his brilliance.
> > > > > >
> > > > > > Unfortunately, a great calamity took place in France with a group of morons who called themselves Nicholas Bourbaki. Mathematics was about to undergo a savage rendering.
> > > > > >
> > > > > > How did the Ancient Greeks think? I give you a glimpse into their unmatched brilliance in my article:
> > > > > >
> > > > > > https://drive.google.com/file/d/1hasWyQCZyRN3RkdvIB6bnGIVV2Rabz8w
> > > > > >
> > > > > > You obtain the arithmetic operations in algebra from <<geometry>>, but you cannot do this the other way round. For example, you can't start studying mathematics as the mainstream does incorrectly, ie, by stating that |N is the first kind of number (FALSE!) and then Q, etc. One can't also explain why
> > > > > > p/q x r/s = pr/qs in algebra, but this can be explained constructively and precisely in geometry. Most professors of mathematics do not understand why p/q x r/s = pr/qs, they learned these things rote fashion. They indoctrinate their ignorant students by telling them that this is a definition, but it's nothing of the sort!
> > > > > >
> > > > > > Arithmetic has an interesting history never before told by the morons of mainstream math academia, simply because they didn't know and were too stupid to realise. In my video I explain the four basic arithmetic operations in geometry and why it is that you can do what you do in algebra:
> > > > > >
> > > > > > https://youtu.be/h_RtgDExaIY
> > > > > >
> > > > > > It seems we are heading into another dark age with the perverted set theory of mathematics and a pandemic out of control. It's a shame and a tragedy if humans repeat the same mistakes that led to the dark ages.
> > > > > >
> > > > > > For the first rigorous formulation of calculus, download my free eBook:
> > > > > >
> > > > > > https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO
> > > > > >
> > > > > > You can't read through it as you would any mainstream math textbook which is mostly incoherent gibberish written by my intellectual inferiors - mainstream math professors who are cranks in every sense of the word. You have to read through it many times and study it carefully.
> > > > > >
> > > > > > The book is not the best written book (it's just a collection of some papers rearranged and updated), but if you persist, you will learn more than you learned in all your school and university years.
> > > > > >
> > > > > > Please ignore the super-troll and crank Dan Christensen, Malum, Klyver and fellow cranks, who will no doubt pollute this thread as he does all others.
> > > > > >
> > > > > > I am the great John Gabriel and I do know better than you or anyone else. I can show you the path to understanding but only you can walk it!
> > > > > p/q x r/s = pr/(qs) holds by definition.
> > > > Nonsense. It holds because of geometry.
> >
> > > It holds per definition.
> > As it is defined in <<geometry>>. The algebra is a direct result of a transfer from geometry.
> > > That's how we define Q.
> > Like I said, I would never allow you to define anything. You are simply too stupid and do not understand what it means for concepts to be well defined. If you did, you wouldn't say stupid things like:
> >
> > "h*f(x)/h means h is a factor of f(x)" - Markus Klyver (Chambers university)/Zelos Malum (Oops-Allah <Uppsala?> university)

> Q can be constructed as the fraction field of Z. That is, we localise Q around the zero ideal so that Q = Z*(Z\(0)). An element in Q is thus a formal fraction a/b with a, b integers and b not in (0).

All NONSENSE. What's pretty telling is how you've avoided addressing your major errors:

"h*f(x)/h means h is a factor of f(x)" - Markus Klyver (Chambers university)/Zelos Malum (Oops-Allah <Uppsala?> university)
"3*16/3 means 3 is a factor of 16" - Markus Klyver (Chambers university)/Zelos Malum (Oops-Allah <Uppsala?> university)

> Multiplication in a localization is defined by p/q x r/s = pr/(qs).

You would never have known that p/q x r/s = pr/(qs) had it not been for Greek geometry. What you write is circular and ill-formed garbage.

> It is easy to prove that this is a well-defined operator.

FALSE. It is easily proved that circularity cannot be part of any proof.

>All NONSENSE. What's pretty telling is how you've avoided addressing your major errors:

Too advanced for your stupid brain?

>You would never have known that p/q x r/s = pr/(qs) had it not been for Greek geometry. What you write is circular and ill-formed garbage.

There is nothing circular in it because you go from a ring to its localization. NOTHING circular in it!

>FALSE. It is easily proved that circularity cannot be part of any proof.

yet you cannot point to a genuine circularity. All you do is say "I start at A and define B, and you start at B and define A, therefore yours is circular because you gotta start like I do!" like a fucking baby.

It is like your argument about tangent and derivative where you are circular. You try to define the tangent which REQUIRES the derivative first! So you are super circular!

And because you are an idiot and dishonest I iwll add I am using your own argument against you and previous sentence is not an actual position I hold but is something you use with different words.

On 9/16/2021 3:31 AM, Eram semper recta wrote:
> On Thursday, 16 September 2021 at 08:40:17 UTC+3, Chris M. Thomasson wrote:
>> On 9/15/2021 12:35 AM, Eram semper recta wrote:
>>> Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).
>> [...]
>>
>> This comment is in pure jest John, however, do you have the pentagram
>> tattooed on your palm from birth in order to get into the secret
>> Pythagorean meetings of some of your ancestors?
>
> I am only 55% Greek. Father was around 55% Jew, 10% Sardinian, 15% Greek and 10% Copt. Don't know about the rest. Mother was mostly Greek (No Turkish or West Asian whatsoever). I do not have any tattoos on my body whatsoever. I find these to be ugly and contrary to popular opinion, tattoos take away from the beauty of a well-formed human body whether male or female.
>
>> For some damn reason you
>> are making me think of the following scene:
>>
>> https://youtu.be/U_ZHsk0-eF0?t=251
>>
>> This is meant as a nice jolly comment, meant to get you to laugh, not
>> piss you off.
>>
>> Have a musical heart in harmony!
>
> I did have a chuckle. :) It got funnier as he practised scales using the harp and flute...
>

Indeed! First time I saw it is when I was a little kiddo. Still like it.

:^)

On Friday, 17 September 2021 at 08:44:02 UTC+3, zelos...@gmail.com wrote:
> >All NONSENSE. What's pretty telling is how you've avoided addressing your major errors:
> Too advanced for your stupid brain?
> >You would never have known that p/q x r/s = pr/(qs) had it not been for Greek geometry. What you write is circular and ill-formed garbage.
> There is nothing circular in it because you <drivel>

What you have clearly demonstrated is that you and Klyver do not understand at all what is a <factor>. How embarrassing!

A factor is any magnitude that measures (is a divisor in modern lingo) another exactly.

LMAO.

On Friday, 17 September 2021 at 22:48:23 UTC+3, Chris M. Thomasson wrote:
> On 9/16/2021 3:31 AM, Eram semper recta wrote:
> > On Thursday, 16 September 2021 at 08:40:17 UTC+3, Chris M. Thomasson wrote:
> >> On 9/15/2021 12:35 AM, Eram semper recta wrote:
> >>> Over 2400 years ago, most of humanity was not too different from animals. Whilst the Anglo-Saxons were constructing Stonehenge, the Greeks had constructed the Parthenon which even today surpasses any other architectural works by any standard (including the dreadfully ugly Gugenheim museums). Whilst the barbaric Germans were burying hatchets in each others heads, the Greeks were already mapping out the stars and planets and were on the verge of creating the first analog computer (Antikythera mechanism).
> >> [...]
> >>
> >> This comment is in pure jest John, however, do you have the pentagram
> >> tattooed on your palm from birth in order to get into the secret
> >> Pythagorean meetings of some of your ancestors?
> >
> > I am only 55% Greek. Father was around 55% Jew, 10% Sardinian, 15% Greek and 10% Copt. Don't know about the rest. Mother was mostly Greek (No Turkish or West Asian whatsoever). I do not have any tattoos on my body whatsoever. I find these to be ugly and contrary to popular opinion, tattoos take away from the beauty of a well-formed human body whether male or female.
> >
> >> For some damn reason you
> >> are making me think of the following scene:
> >>
> >> https://youtu.be/U_ZHsk0-eF0?t=251
> >>
> >> This is meant as a nice jolly comment, meant to get you to laugh, not
> >> piss you off.
> >>
> >> Have a musical heart in harmony!
> >
> > I did have a chuckle. :) It got funnier as he practised scales using the harp and flute...
> >
> Indeed! First time I saw it is when I was a little kiddo. Still like it.

We didn't have TV before I turned 14 (where I lived in South Africa since age 6 and 1/2) and then it was only 2 hours per day for several years, so I never watched any of those things. I spent most of my time in the library.

Irony is that in 1975 the vile Apartheid regime had already built 6 atomic bombs (mostly with secret help from Israel), but only 2 hours TV per day.

The white Afrikaner was a racist bastard, who for all intents and purposes imagined he was a member of the chosen race. In some cases worse than the Nazis. It was stressful growing up in such a toxic environment. My idiot father could have immigrated to the United States but he chose South Africa (from the frying pan into the fire...).

The rock spiders as we called them were no different from the morons you find in the Southern parts of the US. Dumb cunts who made it worse through their religious beliefs and intransigent arrogance. I think I met one decent Afrikaner before I finally left South Africa at age 29. I hated them. They bullied me at school because I was different (thank the gods!).

Once as I walked back from school in the poor southern suburbs, a group of 14 boys crossed the street and attacked me. I went wild and you should have seen how some of them looked when the fight was stopped by my school principal. The blue-eyed, blond haired cowards were all at least a year or two older than me. Stupid and prejudiced as can be. They shouted all sorts of profanities:

"You bloody Jew! You fucking Greek! You shit pora (slang for Portuguese)! Go back to your country!"

As if I had a country. I was born in the Sudan in North Africa to a Greek mother and an asshole Jew father. I had never felt welcome in South Africa and did not have a choice in being naturalised as a citizen there. I renounced my South African citizenship several years ago. I now hold only US and EU citizenship.

Life has been interesting. Sigh, ... I hope that my last few months (years?) will be uneventful.

>
> :^)

lördag 18 september 2021 kl. 09:53:19 UTC+2 skrev Eram semper recta:
> On Friday, 17 September 2021 at 08:44:02 UTC+3, zelos...@gmail.com wrote:
> > >All NONSENSE. What's pretty telling is how you've avoided addressing your major errors:
> > Too advanced for your stupid brain?
> > >You would never have known that p/q x r/s = pr/(qs) had it not been for Greek geometry. What you write is circular and ill-formed garbage.
> > There is nothing circular in it because you <drivel>
>
> What you have clearly demonstrated is that you and Klyver do not understand at all what is a <factor>. How embarrassing!
>
> A factor is any magnitude that measures (is a divisor in modern lingo) another exactly.
>
> LMAO.
integral domains and fields work differently. One has factor being meaningful, the other doesn't.

On Monday, 20 September 2021 at 08:06:08 UTC+3, zelos...@gmail.com wrote:
> lördag 18 september 2021 kl. 09:53:19 UTC+2 skrev Eram semper recta:
> > On Friday, 17 September 2021 at 08:44:02 UTC+3, zelos...@gmail.com wrote:
> > > >All NONSENSE. What's pretty telling is how you've avoided addressing your major errors:
> > > Too advanced for your stupid brain?
> > > >You would never have known that p/q x r/s = pr/(qs) had it not been for Greek geometry. What you write is circular and ill-formed garbage.
> > > There is nothing circular in it because you <drivel>
> >
> > What you have clearly demonstrated is that you and Klyver do not understand at all what is a <factor>. How embarrassing!
> >
> > A factor is any magnitude that measures (is a divisor in modern lingo) another exactly.
> >
> > LMAO.
> integral domains and fields work differently. One has factor being meaningful, the other doesn't.

Also irrelevant. You're just trying to make your narrative seem like the right one, but the facts are clear that you are a bullshitter who knows nothing about mathematics.

To makes a statement like "integral domains and fields work differently" only shows that once again you are trying to pull the authority card. Chuckle.. Poor Malum, it must be so embarrassing for you:

"h*f(x)/h means that h is a factor of f(x)" - Markus Klyver (Chambers Uni) / Zelos Malum (Uppsala)

Therefore by the "brilliant" logic of these two math master graduates, we arrive at the stunning result:

"pi*f(x)/pi means that pi is a factor of f(x)" - Markus Klyver (Chambers Uni) / Zelos Malum (Uppsala)

Tsk, tsk, tsk, tsk.

A factor is any magnitude that measures (is a divisor in modern lingo) another exactly.

This has nothing to do with your bullshit of fields, rings, etc. LMAO.

måndag 20 september 2021 kl. 10:44:33 UTC+2 skrev Eram semper recta:
> On Monday, 20 September 2021 at 08:06:08 UTC+3, zelos...@gmail.com wrote:
> > lördag 18 september 2021 kl. 09:53:19 UTC+2 skrev Eram semper recta:
> > > On Friday, 17 September 2021 at 08:44:02 UTC+3, zelos...@gmail.com wrote:
> > > > >All NONSENSE. What's pretty telling is how you've avoided addressing your major errors:
> > > > Too advanced for your stupid brain?
> > > > >You would never have known that p/q x r/s = pr/(qs) had it not been for Greek geometry. What you write is circular and ill-formed garbage.
> > > > There is nothing circular in it because you <drivel>
> > >
> > > What you have clearly demonstrated is that you and Klyver do not understand at all what is a <factor>. How embarrassing!
> > >
> > > A factor is any magnitude that measures (is a divisor in modern lingo) another exactly.
> > >
> > > LMAO.
> > integral domains and fields work differently. One has factor being meaningful, the other doesn't.
> Also irrelevant. You're just trying to make your narrative seem like the right one, but the facts are clear that you are a bullshitter who knows nothing about mathematics.
>
> To makes a statement like "integral domains and fields work differently" only shows that once again you are trying to pull the authority card. Chuckle. Poor Malum, it must be so embarrassing for you:
>
> "h*f(x)/h means that h is a factor of f(x)" - Markus Klyver (Chambers Uni) / Zelos Malum (Uppsala)
>
> Therefore by the "brilliant" logic of these two math master graduates, we arrive at the stunning result:
>
> "pi*f(x)/pi means that pi is a factor of f(x)" - Markus Klyver (Chambers Uni) / Zelos Malum (Uppsala)
>
> Tsk, tsk, tsk, tsk.
> A factor is any magnitude that measures (is a divisor in modern lingo) another exactly.
> This has nothing to do with your bullshit of fields, rings, etc. LMAO.
>Clearly you have no clue what it means for a "set " to be countable.

I do, again, a set is countable if it is in bijection with a subset of N

>It has EVERYTHING to do with indexing.

No it doesn't, given an index set can be any set so it is entirely worthless.

>A set is countable IF AND ONLY IF it can be indexed. When one talks about bijection between imaginary "real sets", there is nothing about countbility there, only that one set is scaled to another. Flags do not imply equinumerosity.

Sorry to inform you but it is about bijection with subset of N, not indexing because any set, even 2^N, can be used for indexing and 2^N is not countable.

>rrelevant. You're just trying to make your narrative seem like the right one, but the facts are clear that you are a bullshitter who knows nothing about mathematics.

Very relevant. The fact is still you do not understand the difference between fields and integral domains and that is the major issue for you.

I know mathematics much better than you :) I can cite sources you can only cite your own garbage.

>To makes a statement like "integral domains and fields work differently" only shows that once again you are trying to pull the authority card. Chuckle. Poor Malum, it must be so embarrassing for you:

I pulled no authority on it. I can DEMONSTRATE they work differently based on definitions. There is no authority on it.

>Tsk, tsk, tsk, tsk.

Indeed tsk tsk tsk, you still fail to understand that integral domains and fields do work differently and factorization is only a relevant property in one of them.