Logic and Mathematics in the Seventeenth Century

According to the received view (Bocheński, Kneale), from the end of the fourteenth to the second half of nineteenth century, logic enters a period of decadence. If one looks at this period, the richness of the topics and the complexity of the discussions that characterized medieval logic seem to belong to a completely different world: a simplified theory of the syllogism is the only surviving relic of a glorious past. Even though this negative appraisal is grounded on good reasons, it overlooks, however, a remarkable innovation that imposes itself at the beginning of the sixteenth century: the attempt to connect the two previously separated disciplines of logic and mathematics. This happens along two opposite directions: the one aiming to base mathematical proofs on traditional (Aristotelian) logic; the other attempting to reduce logic to a mathematical (algebraical) calculus. This second trend was reinforced by the claim, mainly propagated by Hobbes, that the activity of thinking was the same as that of performing an arithmetical calculus. Thus, in the period of what Bocheński characterizes as ‘classical logic’, one may find the seeds of a process which was completed by Boole and Frege and opened the door to the contemporary, mathematical form of logic.     

Incarnation, Resurrection and the Doctrine of the Trinity: A Comparison of Thomas F. Torrance and Roger Haight

Abstract:  By comparing the thought of T.F. Torrance and Roger Haight, this article shows that whenever the starting-point for interpreting the resurrection is not Jesus himself as the incarnate Word, then Christology and soteriology are undermined because of a faulty understanding of the Trinity, with the result that salvation is equated with the human religious quest for meaning. Because the incarnation and resurrection are intimately connected, this article suggests that any docetic view of the one will lead to a docetic view of the other. And this has soteriological implications: if Jesus is not seen as the only Savior, then we must somehow save ourselves.     

Murray A. Rae,Kierkegaard's Vision of the Incarnation: By Faith Transformed

International Journal for Philosophy of Religion -     

Calvinist Metaphysics and the Eucharist in the Early Seventeenth Century

This paper wishes to make a contribution to the study of how seventeenth-century scholasticism adapted to the new intellectual challenges presented by the Reformation. I focus in particular on the theory of accidents, which Reformed scholastic philosophers explored in search of a philosophical understanding of the rejection of the Catholic and Lutheran interpretations of the Eucharist. I argue that the Calvinist scholastics chose the view that actual inherence is part of the essence of accidents because it was coherent with their theology. In this paper, I bring to attention the Reformed scholastic philosophy which was taught in the Scottish universities in the first half of the seventeenth century, an area so far neglected by scholars. In so doing, I compare Scottish scholasticism with coeval Calvinist sources, and highlight the differences from authoritative Catholic and Lutheran philosophers. The conclusion is that Calvinist scholasticism, both Scottish and Continental, brought about fundamental changes in seventeenth-century metaphysics, which are coherent with a humanist interpretation of Aristotle, and anticipate some themes of early modern philosophy.