Re: Kilvington’s Sophismata

Comment 1

On the one hand Aristotle gives us the logic of analogy (παραδειγμα). On the other hand he cautions us that different paradigms may have no common measure. It seems these Immortals are always getting ahead of their time❢

Comment 2

How much drama in Plato’s Heaven when Heraclitus and Parmenides are reconciled❢

• Differential Logic and Dynamic Systems

Or does it trail off to the anticlimax, that Sisyphus gradually wears down the mountain?

Comment 3

Dealing with qualitative change in logical terms has long been of interest to me. It became a hot topic in Artificial Intelligence Research during the 1980s — work by Ben Kuipers and Ken Forbus especially comes to mind. Many of the settings where I worked at the time required me to find bridges between qualitative (logical) and quantitative (statistical) research methods. I recall describing my efforts in that vein to one of my Master’s thesis advisers under the following rubric:

• Approaching a Qualitative Theory of Differential Equations (QTDE)
  By Means of a Differential Theory of Qualitative Equations (DTQE)

Another slogan for the approach might be:

• Exchanging a Change of Quality (CQ) for a Quality of Change (QC)

Here’s another piece I wrote in that line:

• Differential Propositional Calculus