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Experiments in Relation Theory

Added Experiments in Relation Theory.

Relations are here viewed from the perspective of combinatorics, in other words, as a subject matter in discrete mathematics, with special attention to finite structures and concrete set-theoretic constructions, many of which arise quite naturally in applications. This approach to relation theory, or the theory of relations, is distinguished from, though closely related to, its study from the perspectives of abstract algebra on the one hand and formal logic on the other.

Comments

  • 1.

    Jon, a couple of questions here. What are the experiments, and how are you connecting this material with the goals of the Azimuth Project? Somehow I have the feeling that you are treating the wiki as a platform for ideas that are exogenous to the express concern that brings us together, which is the environmental crisis, and specific topics in science, math and programming that may help us to grapple with it. It's worth reflecting on.

    I think that relations are a really interesting and useful concept, so the issue really boils down to how it is contextualized, and whether we're going to have a real dialog, and real information sharing, or if each of us is going to try to drive the wiki in the direction of our own pre-existing interests. I have dozens of ideas each day, most of which don't naturally fit into the context of the Azimuth wiki, so it goes.

    Comment Source:Jon, a couple of questions here. What are the experiments, and how are you connecting this material with the goals of the Azimuth Project? Somehow I have the feeling that you are treating the wiki as a platform for ideas that are exogenous to the express concern that brings us together, which is the environmental crisis, and specific topics in science, math and programming that may help us to grapple with it. It's worth reflecting on. I think that relations are a really interesting and useful concept, so the issue really boils down to how it is contextualized, and whether we're going to have a real dialog, and real information sharing, or if each of us is going to try to drive the wiki in the direction of our own pre-existing interests. I have dozens of ideas each day, most of which don't naturally fit into the context of the Azimuth wiki, so it goes.
  • 2.

    David,

    I've been thinking about your previous remarks and I will think about these new additions. I've been trying to get the minimal floor laid down for what I want to build on it. All these topics are of a piece, various aspects of the same larger project, and I got the impression from all I've read on the the blog, forum, and wiki over the last few years that it ought to fit it with the greater goal of “saving the planet”.

    But I'm about to lose my concentration for a day or a few, so I'll have to break for now. I think when I take this up again I'll continue on my Intro page thread — that will put me in a more conversational-narrative mode and the information there will jog my memory as to what I wanted to say.

    Regards,

    Jon

    Comment Source:David, I've been thinking about your previous remarks and I will think about these new additions. I've been trying to get the minimal floor laid down for what I want to build on it. All these topics are of a piece, various aspects of the same larger project, and I got the impression from all I've read on the the blog, forum, and wiki over the last few years that it ought to fit it with the greater goal of “saving the planet”. But I'm about to lose my concentration for a day or a few, so I'll have to break for now. I think when I take this up again I'll continue on my Intro page thread — that will put me in a more conversational-narrative mode and the information there will jog my memory as to what I wanted to say. Regards, Jon
  • 3.

    Again, I think this material is too far from the actual goals of Azimuth to belong on the Azimuth Wiki. (I do a lot of work on mathematics myself that I don't put on the Azimuth Wiki, for the same reason.) So, I am going to remove it.

    Comment Source:Again, I think this material is too far from the actual goals of Azimuth to belong on the Azimuth Wiki. (I do a lot of work on mathematics myself that I don't put on the Azimuth Wiki, for the same reason.) So, I am going to remove it.
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