An investigation of Proclus' logic of the syllogistic and of negations in the Elements of Theology, On the Parmenides, and Platonic Theology. It is shown that Proclus employs interpretations over a linear semantic structure with operators for scalar negations (hypemegationlalpha-intensivum and privative negation). A natural deduction system for scalar negations and the classical syllogistic (as reconstructed by Corcoran and Smiley) is shown to be sound and complete for the non-Boolean linear structures. It is explained how Proclus' syllogistic presupposes converting the (...) tree of genera and species from Plato's diairesis into the Neoplatonic linear hierarchy of Being by use of scalar hyper and privative negations. (shrink)

The paper explores the existential import of universal affirmative in Descartes, Arnauld and Malebranche. Descartes holds, inconsistently, that eternal truths are true even if the subject term is empty but that a proposition with a false idea as subject is false. Malebranche extends Descartes? truth-conditions for eternal truths, which lack existential import, to all knowledge, allowing only for non-propositional knowledge of contingent existence. Malebranche's rather implausible Neoplatonic semantics is detailed as consisting of three key semantic relations: illumination by which God's (...) ideas cause mental terms, creation by which God's ideas cause material substances by a kind of ?ontic privation?, and sensation in which brain events occasion states of mental awareness. In contrast, Arnauld distinguishes two types of propositions ? necessary and contingent ? with distinct truth-conditions, one with and one without existential import. Arnauld's more modern semantics is laid out as a theory of reference that substitutes earlier causal accounts with one that adapts the medieval notion of objective being. His version anticipates modern notions of intentional content and appeals in its ontology only to substances and their modes. (shrink)

_ Source: _Volume 10, Issue 1, pp 1 - 39 Through a novel set of texts drawn from Plato, Porphyry, Plotinus, Ps. Julian, Proclus, Hermeias, Synesius and Damascius, I explore how anagogic _erōs_ in master-disciple relationships in Neoplatonism contributed to the attainment of self-knowledge and to the transmission of knowledge, authority and inspired insights within and outside the _diadochia_. I view anagogic _erōs_ as one of the most important channels of non-discursive pedagogy and argue for the mediating power of anagogic (...) _erōs_ in the attainment of the main goal of the Platonist: reorienting desire from sensible to intelligible beauty and changing one’s ontological status to become like god and attain union with the divine. After considering the problematic nature of Socratic _erōs_, its skeptics and detractors, I discuss the dynamics of philosopher-disciple relationships and the experience of anagogic _erōs_ in the following: the attack on Porphyry and defense by Plotinus following Porphyry’s recital of an ecstatic poem on _Hieros Gamos_, the concealment of anagogic _erōs_ behind the authoritative façade of an oracle, the intensely devotional private letters of Ps. Julian to the aged Iamblichus and of Synesius to his female master Hypatia; the identification of anagogic _erōs_ with theurgic ascent in Syrianus’s school according to Proclus and Hermeias and the experiences of anagogic _erōs_ outside the _diadochia_ in Damascius’ _Philosophical History_. I conclude that the true and correct practice of philosophy had much, if not everything to do with the anagogic _erōs_ between the true philosopher, the bacchant and the philosopher in training, aspiring to become transformed from thyrsus-bearer into bacchant. The privileged and exalted status given to the divine lover ensured the transmission of the philosophical tradition in all its richness, preserving both its discursive and non-discursive aspects as a system of thought, as a way of life and as a way of being and loving. (shrink)

The mediaeval logic of Aristotelian privation, represented by Ockham's expositionof All A is non-P as All S is of a type T that is naturally P and no S is P, iscritically evaluated as an account of privative negation. It is argued that there aretwo senses of privative negation: (1) an intensifier (as in subhuman), the dualof Neoplatonic hypernegation (superhuman), which is studied in linguistics asan operator on scalar adjectives, and (2) a (often lexicalized) Boolean complementrelative to the extension of (...) a privative negation in sense (1) (e.g., Brute). Thissecond sense, which is the privative negation discussed in modern linguistics, isshown to be Aristotle's. It is argued that Ockham's exposition fails to capture muchof the logic of Aristotelian privation due to limitations in the expressive power of thesyllogistic. (shrink)

In this paper, I argue that Spinoza's claim at E1P15 that “Whatever is, is in God, and nothing can be or be conceived without God” remains exegetically troubling. Briefly noting some unresolved difficulties with the two dominant interpretations of Spinoza's account of the relationship between finite modes and God (these being the inherence and causal dependence readings), I move to claim that there is a third, neglected reading available which deserves consideration. I argue that, perhaps surprisingly, Althusser's notion of “structural (...) causality,” putatively derived from Spinoza himself, can be used to construct this reading. Althusser's original notion of “structural causality” is explained and clarified further, its advantages outlined over competing readings of Spinoza, and exegetical evidence for its applicability to Spinoza is then produced. (shrink)