An informal “conjecture”
Conjecture: Every time when an unproved result seems obvious, we refer to an unproved conjecture (from which it follows) in our mind
(Theology) What is physical reality?
In this blog I write mainly about mathematics. But this time I will allow myself to write on some philosophy from biblical Christianity positions. Christ is truth, as it is clear from His own words: (John 14:6) “Jesus said to him, “I am the way, the truth, and the life.” In my opinion, this means […]
Philosophy: God and time machine
I feel that there are certain similarities between God and time machine. Please read and discuss at this tiddler.
(Not math) My spiritual experience related with the theory of funcoids
This post is not about mathematics. It is about spirituality. In the very beginning of my research, when I was formulating the definition of funcoids I felt certain spiritual experience. While thinking about it, I felt myself in a kind of virtual reality, at the same time not only sitting in a chair but also […]
Complete relativity theory
Disclaimer: I am not a physicist. Einstein has discovered that some physical properties are relative. In this blog post I present the conjecture that essentially all physical properties are relative. I do not formulate exact details of this theory, a thing which could be measurable, but just a broad class of specific theories. Nevertheless the […]
Category without the requirement of Hom-sets to be disjoint
From this Math.SE post: It would be helpful to have a standard term XXX for “a category without the requirement of Hom-sets to be disjoint” and “category got from XXX by adding source and destination object to every morphism”. This would greatly help to simplify at least 50% of routine definitions of particular categories. Why […]
The article about ordinal numbers and product
I’ve sent this article to an open access peer reviewed journal: A New Kind of Product of Ordinal Number of Relations having Ordinal Numbers of Arguments (the article is available online).
An article about functions taking ordinal number of arguments
I’ve put online this article. It is a rough draft, is incomplete and contains little errors. Nevertheless I hope you’ll enjoy reading it: A New Kind of Product of Ordinal Number of Relations having Ordinal Numbers of Arguments
Circuitoids, a Generalization of Categories
Circuitoids are a generalization of a category where each morphisms has an arbitrary (possibly infinite) number of arguments. Two morphisms are not required to have the same number of arguments. See this manuscript where I first define circuitoids. I haven’t (yet) defined some notion of associativity for circuitoids. This may be a topic of our […]
A proposal for arXiv – managing patches
A famous mathematician Gowers wrote that it is needed “a positive strategy of actually setting up a new system might work rather better” for publishing math articles. In this post I suggest a way for the community to improve quality of self-published (or self-archived as scientists say) articles. I suggest to add the following feature […]