Time, Topology, Differential Logic • 6

Re: Peirce List Discussion • ETJFSJAJBD

Let me see if I can get back in the saddle on this topic, the dormitive virtues of tryptophan and a few pounds added notwithstanding.

I was addressing the following question from Jeffrey Brian Downard:

I wanted to see if anyone have might suggestions for thinking about the analogy between:

  1. mathematical models of the differentiation of spaces starting with a vague continuum of undifferentiated dimensions and trending towards spaces having determinate dimensions
  2. models for logic involving similar sorts of dimensions?

How might we understand processes of differentiation of dimensions in the case of logic?

By way of review, here are my blog posts on the discussion so far:

  • Time, Topology, Differential Logic • (1)(2)(3)(4)(5)

We can now get back to preparing the ground required to tackle Jeff’s question.

Resources

This entry was posted in C.S. Peirce, Change, Differential Logic, Dynamical Systems, Inquiry, Inquiry Driven Systems, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Semiotics, Systems Theory, Time, Topology and tagged , , , , , , , , , , , , , , . Bookmark the permalink.

3 Responses to Time, Topology, Differential Logic • 6

  1. jabowery says:

    On the off-chance you can read messages in the lawsofform yahoo group, here is something I posted about the importance of differential propositional logic to realizing Bertrand Russell’s desire to dispense with Type Theory by using imaginary logic states as G Spencer Brown posits in Chapter 11 of Laws of Form.

    https://groups.yahoo.com/neo/groups/lawsofform/conversations/messages/3435

    If you can’t read it, I’ll be happy to send it to you or post it in its entirety to my own blog where the public can read it (with links and all as I’m not sure comments here can handle them).

    • Jon Awbrey says:

      James,

      Just got back from a bit of travel and it will take me a few days to get up to speed, but I was able to register on the Laws of Form group and will see if I can manage any sort of response there.  But feel free to copy your comments here as I can always release any links that get blocked — I think, anyway …

      Regards,

      Jon

  2. Pingback: Charles Sanders Peirce, George Spencer Brown, and Me | Inquiry Into Inquiry

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