Offtopic: John 3:16 – Christ having an universal property
Bible, John 3:16: (CJB) “For God so loved the world that he gave his only and unique Son, so that everyone who trusts in him may have eternal life, instead of being utterly destroyed.” (ISV) “For this is how God loved the world: He gave his uniquely existing Son so that everyone who believes in […]
An example of a separable poset with certain property
With help of sci.math crowd it was demonstrated an example that there exist a (finite) poset, which is separable (in the sense defined in this book), but $latex \star x \subseteq \star y$ does not imply $latex x \sqsubseteq y$ (where $latex \sqsubseteq$ denotes our order) for elements $latex x$, $latex y$ of this poset. […]
Funcoids are filters? Conjecture II
Earlier I have conjectured that the set of funcoids is order-isomorphic to the set of filters on the set of finite joins of funcoidal products of two principal filters. For an equivalent open problem I found a counterexample. Now I propose another similar but weaker open problem: Conjecture Let $latex U$ be a set. The […]
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).