Tag Archives: Combinatorics

Survey of Relation Theory • 2

In this Survey of previous blog and wiki posts on Relation Theory, relations are viewed from the perspective of combinatorics, in other words, as a topic in discrete mathematics, with special attention to finite structures and concrete set-theoretic constructions, many … Continue reading

Relations & Their Relatives : 15

Re: Peirce List Discussion • Helmut Raulien Definitions and examples for relation composition and the two types of relation reduction that commonly arise can be found in the following articles: Relation Composition Relation Reduction A previous post on this thread … Continue reading

Relations & Their Relatives : 14

Re: Peirce List Discussion • Helmut Raulien Cf: Relation Reduction : Examples of Projectively Reducible Relations I constructed the “Ann and Bob” examples of sign relations back when I was enrolled in a Systems Engineering program and had to explain … Continue reading

Relations & Their Relatives : 13

Re: Peirce List Discussion • Helmut Raulien The facts about relational reducibility are relatively easy to understand and I included links to relevant discussions in my earlier survey of relation theory. The following article discusses relational reducibility and irreducibility in … Continue reading

Relations & Their Relatives : 12

Re: Peirce List Discussion • Jeffrey Brian Downard In viewing the structures of relation spaces, even the smallest dyadic cases we’ve been exploring so far, no one need feel nonplussed at the lack of obviousness in this domain.  Anyone who … Continue reading

Relations & Their Relatives : 11

Re: Peirce List Discussion • Jeffrey Brian Downard In discussing the “combinatorial explosion” of dyadic relations that takes off in passing from a universe of two elements to a universe of three elements, I made the following observation: Looking back … Continue reading

Survey of Relation Theory • 1

In this Survey of previous blog and wiki posts on Relation Theory, relations are viewed from the perspective of combinatorics, in other words, as a topic in discrete mathematics, with special attention to finite structures and concrete set-theoretic constructions, many … Continue reading