The Paraconsistent Numbers and the Set Theory Implied in the Cappadocian Trinitarian Doctrine

An intuition of pseudo-natural numbers. The Cappadocian doctrine of Trinity is intrinsically paraconsistent. Several Byzantine authors have discussed its paraconsistent features explicitly. For instance, Evagrius Ponticus (345–399) statedμ “The numerical triad is followed with the tetrad, but the Holy Trinity is not followed with the tetrad. It is not, therefore, a numerical triad. The numerical triad is preceded with the dyad, but the Holy Trinity is not preceded with the dyad. Thus, it is not a numerical triad” (Gnostic Chapters VI, 11-12). From any modern set-theoretical viewpoint, the main problem of the “set theory” and the very idea of number possibly implied in such statements is the complete absence of the pairs. Indeed, there were several less Orthodox interpretations of Trinity where some kind of pairing was provided, but the Byzantine mainstream throughout the whole Byzantinische Jahrtausend was following the path specified by Evagrius (and, before him, his teacher Gregor…