I am constantly encountering what I perceive as echoes of Peircean themes in places where acquaintance with or interest in Peirce’s work is slight at best, and that leaves me with a lot of pent up thoughts that I’ve learned through trial and error can’t always be ventilated in the places that stirred them up.
The recent discussion of fuzzy set theory on the Foundations Of Math List is a prime example of that. I see the questions arising there as falling within a larger question about the proper roles of demonstrative reasoning and non-demonstrative reasoning in the logic of inquiry.
That particular theme has recurred so frequently over the years that I’ve decided to give it a name, “Demonstrative And Otherwise” (DAO), and to start collecting the data of its cases in a more deliberate manner.
Here’s another case I view as falling under the rubric of DAO — it arose on a blog devoted to a fundamental problem in computational complexity.
And here’s a blog post where I began to gather a few reflections that bear on this computational aspect of DAO.