English

Significance Theory

Combinatorics 2011-12-30 v1

Abstract

We formalize the general principle of significance with respect to binary relations which is a universal tool for description and analysis of various situations in and apart from mathematics. We derive the basic properties and focus on a special family of relations induced by linear orders. We show several ways of mathematical applications, propose methods for calculating the required set and sketch possible use in other sciences.

Keywords

Cite

@article{arxiv.1112.6321,
  title  = {Significance Theory},
  author = {Jan Pavlik},
  journal= {arXiv preprint arXiv:1112.6321},
  year   = {2011}
}
R2 v1 2026-06-21T19:58:04.214Z