‘The Systematic Dialectic of Algorithmicities vs. Heuristicities’.
The purpose of this blog-entry, is to call your attention to the dialectical interconnexion among the ‘ideo-ontological’ categories that, respectively, represent cases of algorithmic methods of solution of general classes of problems, cases of heuristic methods of solution, and cases of what we call ‘algorithmic heuristic’ or ‘heuristic algorithmic’ methods of solution.
It might be considered that the latter case has long been extant, and includes the ancient methods of iterative calculation of the values of “purely”-quantitative “irrational” numbers, such as “Heron’s Method”, and the ancient Mediterranean method of «Anthyphairesis». These methods are “algorithmic”, in that they involve exact mathematical recipes for each of their iterations. But these methods are also are “heuristic” in that they provide, not a single, unique, and uniquely correct value, but a potentially-infinite [in Aristotle’s sense] sequence of improving approximate values, with each further increment of their iteration.
However, the ‘algorithmic heuristic’ that we have most in mind, here, is the “purely”-qualitative method of solution for ‘categorial combinatoric’ problems which we call the Seldonian NQ Dialectical Method -- ‘The Universal Algorithmic Heuristic Dialectical Method’.
A ‘dialectogram’ depicting this ‘dialectic’, plus a commentary on that ‘dialectogram’, is appended below.
For more information regarding these Seldonian insights, please see --
For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insights -- specimens of ‘dialectical art’ -- see:
Member, Foundation Encyclopedia Dialectica [F.E.D.],
Participant, F.E.D. Special Council for Public Liaison,
Officer, F.E.D. Office of Public Liaison.