Whether Trinitarianism is coherent depends not only on whether some account of the Trinity is coherent, but on which accounts of the Trinity count as "Trinitarian." After all, Arianism and Modalism are both accounts of the Trinity, but neither counts as Trinitarian (which is why defenses of Arianism or Modalism don’t count as defenses of Trinitarianism). This raises the question, if not just any account of the Trinity counts as Trinitarian, which do? Dale Tuggy is one of very few philosophers (...) to give explicit definitions of Trinitarian (versus Unitarian) theology. But they are no mere formalities. They are essential to his central criticisms of both historical and contemporary forms of Trinitarianism. In this paper, I offer my own definitions of Trinitarian and Unitarian theology, contrast them with Tuggy’s, and argue for the superiority of my definitions to Tuggy’s. If Trinitarianism and Unitarianism are what Tuggy says they are, the outlook for Trinitarianism is bleak indeed. If they are what I say they are, Tuggy’s central objection to Trinitarianism fails. To show what is at stake in these pairs of definitions, I examine a doctrine much neglected in Analytic Theology, but central to Nicene Trinitarianism—the Monarchy of the Father. (shrink)

The main subject of Cusanus’ investigations was the name of God. He claimed to have achieved the best possible one, Not-Other. Since Cusanus stressed that these two words do not mean the corresponding affirmative word, i.e. the same, they represent the failure of the double negation law and there￾fore belong to non-classical, and above all, intuitionist logic. Some of his books implicitly applied intuitionist reasoning and the corresponding organization of a theory which is governed by intuitionist logic. A comparison of (...) two of Cusanus’ short writings shows that throughout his life he substantially improved his use of this kind of logic and ultimately was able to reason consistently within such a logic and recognize some of its basic laws. One important idea developed by him was that of a proposition composed of a triple repetition of “not-other” expressing “the Tri-unity of concordance” i.e. the “best name for the Trinity”. I complete his application of intuitionist logic to theological subjects by charac￾terizing the inner relationships within the Trinity in such a way that there are no longer contradictions in the notion. Generally speaking, the notion of the Trin￾ity implies a translation from intuitionist to classical logic, to which Cusanus closely approximated. Moreover, I show that the main aspects of Christian rev￾elation, including Christ’s teachings, are represented both by this translation and by some doubly negated propositions of intuitionist logic. Hence, intuition￾ist logic was introduced into the history of Western theological thinking with Christian revelation, as only Cusanus partly recognized. Appendix 1 summa￾rizes a detailed analysis of Cusanus’ second short writing. Appendix 2 shows that the Athanasian creed regarding the Christian Trinity is a consistent se￾quence of intuitionist propositions provided that some verbal emendations are added, showing that ancient trinitarian thinking was also close to intuitionist reasoning. (shrink)

Analytic theologians have proposed numerous “solutions” to the Logical Problem of the Trinity (LPT), mostly versions of Social Trinitarianism (ST) and Relative Identity Trinitarianism (RI). Both types of solution are controversial, but many hold out hope that further “Trinitarian theorizing” may yield some as yet unimagined, and somehow importantly different, solution to the LPT. I first give a precise definition of the LPT and of what would count as a solution to it. I then show how, though there are infinitely (...) many possible solutions, all solutions can be grouped together into a finite, exhaustive taxonomy, based precisely on those features which make them either controversial, heretical, or inconsistent. The taxonomy reveals why ST and RI have been the major proposed solutions, and also proves that there can be no importantly different, new solutions to the LPT. (shrink)