# Tag Archives: Graph Theory

## Animated Logical Graphs : 10

Re: Peirce List Discussion • Charles Pyle Let’s consider Peirce’s logical graphs at the alpha level, the abstract forms of which can be interpreted for propositional logic.  I say “can be interpreted” advisedly because the system of logical graphs itself … Continue reading

## Riffs and Rotes : 3

Re: R.J. Lipton • Failure Of Unique Factorization My favorite question in this realm is how much of the linear ordering of the natural numbers is purely combinatorial, where we eliminate all the structure that isn’t purely combinatorial via the … 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