**Algebraic General Topology. Vol 1**:
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**Axiomatic Theory of Formulas**:
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THE STORY OF A SECTARIAN MATHEMATICIAN

VICTOR PORTON, ASHKELON, ISRAEL, PORTON@NAROD.RU

ORCID 0000-0001-7064-7975

Abstract. How a sectarian fanatic discovered a breakthrough formula. Also

a story of appearance of a new religion. And a lawsuit on mathematics.

1. Where the research is published

I have recently published most of my main discoveries in research monograph [2].

I started to write a second edition with more advanced axiomatics.

1

Before that I’ve published just one article [1]. As you see below I am an amateur

mathematician, not a professor.

2. What I discovered

I discovered a generalization of general topology that allows to express topolog-

ical properties with algebraic formulas. Later I also discovered (generalized) limit

of discontinuous function and kinda multidimensional general topology (as well as

some other things).

The “start point” of algebraic general topology was the formula

(1) αX u Y 6= ⊥ ⇔ βY u X 6= ⊥,

where α is a function from the set of ﬁlters on a set A to the set of ﬁlters on a

set B, β is a function from the set of ﬁlters on a set B to the set of ﬁlters on a

set A, X and Y are ﬁlters on these sets. u is the meet operation on the lattice of

ﬁlters ordered reverse to the set theoretic inclusion and ⊥ is the improper ﬁlter.

Now I call a pair (α, β) conforming to the above as funcoid.

It is algebraic general topology, because it is easy to ﬁnd an operation that

makes the set/class of funcoids into a semigroup or precategory (exercise! or read

my book).

At this point my serious mathematical journey started.

3. Story of the discovery

I was a Protestant.

I deemed that I should openly proclaim my faith: (Luk. 9:26) “For whoever shall

be ashamed of me and of my words, of him shall the Son of man be ashamed, when

he shall come in his own glory, and in his Father’s, and of the holy angels.” and

Mrk. 8:38.

Moreover, I “reduced” my confession: “I am a sectarian”, “I am a religious

fanatic.” I considered the word “sectarian” as one of the Christ’s words, because

the Gospel, 2Cor. 6:17 contains the word “separate”, the root of which has the

1

https://bitbucket.org/portonv/algebraic-general-topology/

1

2 VICTOR PORTON, ASHKELON, ISRAEL, PORTON@NAROD.RU ORCID 0000-0001-7064-7975

same meaning as the roots of the words “sectarian” and “holy”. I considered the

word “fanatic” to be one of Christ’s words, because the Bible says (Rev. 3:19) “be

zealous” and “jealous” and “fanatic” are words with the root of a similar meaning.

My so-called “confession of faith” caused a sharply negative reaction of people

and led to religious discrimination, refusal to talk to me, insults, and often beatings.

Moreover, realizing the hopelessness of my situation, I did not even try to improve

my social status, since this was clearly impossible. In addition, with such my

position, new opportunities would mean new problems for me.

When I was a ﬁrst year student at Perm State University, I became interested

in general topology and set a goal to discover algebraic general topology.

So I ended up on the street, without food. I began to eat grass and drink from

a puddle and wait for death from hunger (as you know, I still survived).

From nothing to do, I continued my mathematical thoughts and came up with

the formula (1). The biggest math discovery in general topology since 1937 (when

the ﬁlters were discovered) was made by a hungry homeless on the street.

I wrote a term paper with this formula and some theorems about it at my ﬁrst

year opening in the university.

Understanding that a religious fanatic cannot ﬁnd a job and for me it is threat-

ening soon again starvation and death, I decided to show humility: become eco-

nomically weaker (abandon my economic goals and ambitions) in order to become

richer. To become economically weaker, I decided to leave the university in the 5th

year and ﬁled a deduction.

My humility worked: I managed to get a second disability group that provided

the conditions for my survival. Besides other things, I told psychiatrists that I have

a strange object in my brain, a seraph (“genius” in Greek mythology). Consider

both options: if I have a foreign object in my brain then I’m a disabled person in

the psyche, if not then disabled in the psyche, too.

4. Lawsuit

As you know, I wrote a doctoral dissertation in mathematics [2] and I was not

awarded the title of Doctor of Science for religious reasons as a punishment for

practicing my religion.

I sued, demanding compensation for the unpaid salary of a professor of mathe-

matics and other things, as well as 4 trillion dollars as compensation for not made

due to poverty scientiﬁc discoveries. (I valued this book along with amendments,

as well as my XML ﬁle processing method in 2 trillion dollars; well, how much is

the limit of the discontinuous function?)

It was not that court, and after that I ﬁled a lawsuit in the Tverskoy court of

Moscow. This time without the requirement of 4 trillions and the title of hero of

Russia.

But when she saw the word “sectarian”, the chairman of the court, Olga Niko-

laevna Solopova, went crazy with laughter and shame and, deciding that humor

took precedence over the law, did not respond to my lawsuit. It is clear that

Solopova cannot answer, therefore I demanded that the qualiﬁcation collegium of

judges recognize her as incompetent and insane as a result of exposure to her brain

with information about an abnormal sectarian and transfer the case to another

judge. Qualiﬁcation board responded that there is no record in their database.

(Apparently insane of laughter Solopova threw the document into the trash.) Such

THE STORY OF A SECTARIAN MATHEMATICIAN 3

should be the reaction of a judge to a suit of a subhuman, in accordance with

humor.

Note: I’m not going to actually bankrupt Russia.

5. My religious development

So dying of hunger (I ate grass that time) on the streets I discovered a trillion

dollars worth (in my own estimation) formula.

I thought “If I don’t lie and deny my religion, I will bring a trillion dollars formula

to the coﬃn.”

Isn’t to bury a talent a sin? If I kill myself with repeatedly saying that I am a

sectarian, it would harm a great number of people, thought I.

I thought also: If I’d become a prostitute to survive, I’d just have sex with

somebody who does not want to have sex with, but if I save my formulas, I would

probably help to develop Internet and dating sites, thus allowing many people to

have sex with whom they want. So I am an egoist.

Nonsense? Exactly, I knew something was wrong in my religion.

After many failures I conceived a new religion.

Here my new religion in the most general form I know now: The will of Christ

is imperfect (as He prays “not my will but Yours to be done”) and we should serve

directly the Father, stop following the will of Christ and follow the will of the Father

directly. The New Testament (“new contract”, literally) is self-terminated.

I wrote a book on this topic:

https://www.smashwords.com/books/view/618525

To serve Christ means to serve truth (He said “I am truth.” meaning essentially,

“I am mathematics.”) that is to try to never say a lie. This is wrong: If I am a

Jew and I’d meet fascists, I’d to say them I am not a Jew. Or I could lie that I am

not a sectarian to survive (and am I really not a sectarian now?)

6. Conclusion

This is the story of a trillion dollars (accordingly my own estimation) formula

by a ﬁrst year student and a new religion.

About mathematical aspects of the story of my discoveries, see blog post:

https://portonmath.wordpress.com/?p=2992

References

[1] Victor Porton. Filters on posets and generalizations. International Journal of Pure and Applied

Mathematics, 74(1):55–119, 2012. http://www.mathematics21.org/binaries/filters.pdf.

[2] Victor Porton. Algebraic General Topology. Volume 1. INFRA-M, 2019.