User:Alxfed

=Alex Fedotov=

Alex Fedotov (Alexander V. Fedotov; Александр Владимирович Федотов). He graduated from the 'English School №14' in Moscow (doesn't exist anymore), then studied physics at the Moscow State University and worked with high-power relativistic electron beams in the Plasma Physics Lab of the Lebedev Physical Institute (after that - the General Physics Institute when the Lebedev Physical Institute split into two). When Science ceased to exist in Russia (after the collapse of the Soviet Union) he first started an R&D firm together with his colleague S. Orekhov which helped them and a handful of their employees to survive, then start making some money... the rest is history. Alex immigrated to the US in 2003 when it became abundantly clear that Russia is on the path to an anti-intellectual autocracy led by a gang of crazy KGB scoundrels and has been living in Chicago, IL ever since. Apparently, since then the country that he left has successfully reached its destination. Alex became a naturalized US citizen on March 28 of 2023 (and voted for the first time on the same day).

Work and Interests
I'm a Ph. D. in Physics and Mathematics, I'm interested in many parts of Physics and Mathematics and their history. The original work that I publish these days is on ArXiv because I'm not associated with any research organization.

What I'm studying right now
I'm studying the ways the conventional Probability Theory can be combined with propositional calculus and logic. There was a problem with weighted logics, that is, the logics where formulas are assigned weights. The problem emerged from the fact that weights attached to propositions may have two meanings: they can be truth-values (the values of propositions themselves) or they can be degrees of confidence (f.i. a factor in front of the value of the proposition). In the former case the propositions are fuzzy (and not Boolean) but the knowledge/belief is absolute in the latter case the truth remains Boolean/crisp but the weights express belief.

I'm especially interested in possible constructive solutions to the problem of intransitive indifference (looks like it should be created too) and related problems. This is supposed to be a continuation of the line of thoughts of Poincare and Menger about the continuum hypothesis.

=What I do on wikipedia= Here's a brief list of what I'm researching and editing:

Pages semi-abandoned by their creators
Possibility theory, the Dubois crowd converted it into quintessential nothingness. Tolerance relation, the Peters group is keeping its BS on the Near sets page, not there (thank you, Jesus!).

Nonexistent pages
Indistinguishability relation or maybe Indiscernibility relation

Math
Some examples for copy-pasting. Tolerance space



N_{x,\varepsilon} = \left\{y\in X \mid d(x,y) < \varepsilon\right\}. $$

The interior of a set $$A$$ (denoted by $$\mbox{int}(A)$$) and boundary of $$A$$ (denoted by $$\mbox{bdy}(A)$$) in a proximal relator space $$X$$ are defined by



\mbox{int}(A) = \left\{x\in X \mid N_{x,\varepsilon}\subseteq A\right\}. $$

Personal page of Ladislav J. Kohout
The man definitely requires a Wikipedia page. My version of it is in my sandbox for now.

For now, I've added the primary source to the Possibility theory page and a reference to the Kohout's article from 1988 published in the Zadeh's magazine (addressed directly to him). When I complete and create a page for Kohout I will first add the section 'History' and explain it there, then re-write the beginning of the article; after that, I will rewrite the mathematics, because right now it's a kindergarten going on on that poor page.

I think it's about time to straighten these things out.

Personal page of V. Pinkava
Vaclav Pinkava (Václav Jaroslav Karel Pinkava) requires a totally different page than the one designated to him right now - V. Pinkava.

It will require a lot of personal data (and reading of his publications). The man was a piece of wonder. :)

Useful links and references
I'm still learning how to use the Wikipedia right, the important topics are: Referencing and templates for referencing.

=References=

=External links=

1. ArXiv.org https://arxiv.org/

Category:1955 births Category:Living people Category:American scientists