apodictic
Apodeictic \Ap"o*deic"tic\, Apodictic \Ap`o*dic"tic\,Apodeictical \Ap`o*deic"tic*al\, Apodictical \Ap`o*dic"tic*al\, a. [L. apodicticus, Gr. ?, fr. ? to point out, to show by argument; ? from + ? to show.] Self-evident; intuitively true; evident beyond contradiction. --Brougham. Sir Wm. Hamilton.
epideictic
\Ep`i*deic"tic\, a. [Gr. ?, fr. ? to show forth, display; 'epi` + ? to show. Cf. Epidictic.] Serving to show forth, explain, or exhibit; -- applied by the Greeks to a kind of oratory, which, by full amplification, seeks to persuade.
therefore: apodeictic ~= beyond testing; epideictic ~= testible (about explanation) ...eh?
Maybe it would simplify things a bit if we understand the apodictic as that type of reason that relies on direct reference to specific objects; i.e., the type of reason used in empirical tests. Epidictic reasoning proceeds, not by direct reference, but by inference from larger contexts; i.e., the contexts in which a multiplicity of "objects" exist.
This is your "relationality" we're speaking of here, brother Arlen!