Edwina, Jon A, Jeff, Jerry, Jon AS, Kirsti, This topic has so many ramifications that it's impossible to say anything complete and definitive. The observation I considered important was Bateson's remark about stories as a natural way for minds or quasi-minds to think, talk, and reason about experience.
For example, Einstein's Gedanken experiments about relativity can be analyzed as stories that enabled him to think about physics in novel ways that nobody had previously discovered. Edwina:
You are saying, I think, that different modes of time, eg, a mathematical analysis and a physical experience...have to be considered. The mathematical analysis might be in progressive time; while the physical experience is in both present and perfect time.
The four kinds I mentioned were not an exhaustive analysis. I just started with Bateson's remark about stories. It implies that the many ways of thinking about time are at least as varied as the many kinds of stories (formal and informal) and the many ways of relating the storyteller to the audience and the topic(s). Re verb tenses: Those are syntactic options for telling a story and relating episodes to one another. Different languages have different options for the grammatical forms that express such relations. The number of options could lead to a combinatorial explosion, but the practical number is limited by human memory. ET:
This pointing out for the necessity for dialogic interaction...
That is another interesting path to explore. It leads to another combinatorial explosion of ways of interacting among participants, topics, speech acts, contexts -- many aspects of larger stories. Jon A
trying to understand inquiry and semiosis in general as temporal processes is one of the things that forced me to develop differential logic as an extension of propositional logic, for which I naturally turned to Peirce's logical graphs as a starting point.
Yes, that's another path to explore. For any version of logic, it's important to determine what kinds of problems it can express and what solutions it can facilitate. What useful stories or Gedanken experiments can you explain in terms of it? Jeff
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 to (2) models for logic involving similar sorts of dimensions? How might we understand processes of differentiation of dimensions in the case of logic?
Those questions are related to the methods Jon A. is exploring with his differential logic. It's important to look at sample problems (Gedanken experiments) and ask what models can help solve them. Jon AS
your identification of three different "kinds of time" might align nicely with the points of view of the three Categories that Nicholas Guardiano adopted to analyze Peirce's cosmogony...
I was only analyzing one specific problem. I believe that there is an open-ended number of kinds of stories -- or perhaps a continuum of variations in stories, ways of telling them, and ways of relating the storyteller to the participants, episodes, side plots, audience... JAS
Guardiano... singles out "the big bang theory" for criticism because of "its temporal nature and the need for its explanatory cause prior in time."
Kirsti
Time-sequences between stories do not apply. - The big-bang is just a story, one on many just as possible stories.
Yes. Every science is always a work in progress. Physicists are not happy with the idea that the universe suddenly popped into existence about 13.8 billion years ago. They have proposed many versions that include a Big Bang as just one stage: 1. A Big Crunch (an earlier universe imploding under the force of gravity) followed by a Big Bang. 2. A cyclical universe with multiple big crunches followed by big bangs. 3. Multiverses. See https://en.wikipedia.org/wiki/Multiverse The Wikipedia article quotes a summary from the Scientific American: George Ellis (2011) Does the Multiverse Really Exist?
As skeptical as I am, I think the contemplation of the multiverse is an excellent opportunity to reflect on the nature of science and on the ultimate nature of existence: why we are here.... In looking at this concept, we need an open mind, though not too open. It is a delicate path to tread. Parallel universes may or may not exist; the case is unproved. We are going to have to live with that uncertainty. Nothing is wrong with scientifically based philosophical speculation, which is what multiverse proposals are. But we should name it for what it is.
John
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