_ Source: _Volume 9, Issue 2, pp 159 - 176 The purpose of this paper is the analysis of the Plotinian and Iamblichean reading of the Aristotelian theory of abstraction, and its relationship with the status of mathematical entities, as they were conceived within a Platonic model, according to which mathematical objects are ontological autonomous and separate.

In a recent paper Johan van Benthem reviews earlier work done by himself and colleagues on ‘natural logic’. His paper makes a number of challenging comments on the relationships between traditional logic, modern logic and natural logic. I respond to his challenge, by drawing what I think are the most significant lines dividing traditional logic from modern. The leading difference is in the way logic is expected to be used for checking arguments. For traditionals the checking is local, i.e. separately (...) for each inference step. Between inference steps, several kinds of paraphrasing are allowed. Today we formalise globally: we choose a symbolisation that works for the entire argument, and thus we eliminate intuitive steps and changes of viewpoint during the argument. Frege and Peano recast the logical rules so as to make this possible. I comment also on the traditional assumption that logical processing takes place at the top syntactic level, and I question Johan’s view that natural logic is ‘natural’. (shrink)

A debate between Proclus and Damascius over whether intellect ‘remembers’ the forms in contemplating them is explained by Professor Adamson as a disagreement over the nature of memory looking back to Plato and Aristotle. But I argue that it is rather symptomatic of a disagreement stretching back through Plotinus to Middle Platonism over the nature of the intellect. This gives the debate its urgency; and it coheres better with the fact that, Plato and Aristotle aside, there is vanishingly little evidence (...) in ancient philosophy for a thematized interest in memory. (shrink)

On the Cave of the Nymphs, an allegorical exegesis of Homer’s description of the cave of the nymphs at Odyssey 13.102-112, a passage quoted in full at the beginning of the treatise after the briefest possible indication of the project on which Porphyry is embarking, has been generally given little attention in discussions of Neoplatonic philosophy, as it is deemed to be of little importance for establishing Porphyrian doctrine. However, the treatise contains significant philosophical thoughts on the relationship between the (...) soul and body, embodiment, demonology, and the concept of the salvation of the soul, which are compatible with his other works, especially _On Abstinence from Killing Animals_ and _Pathways to the Intelligible_. The concept of the salvation of the soul is found in Porphyry’s identification of the goddess Athena with _phronesis_, along with the olive tree, while Odysseus represents the soul descending into genesis, but will return back to his fatherland. In this context, this paper will explore the role and meaning of _phronesis_, namely the goddess Athena, in the process of the soul’s journey towards the intelligible realm and show the relevance of the Neoplatonic doctrine of virtues, particularly the cathartic virtues, in _Sententia_ 32 to Porphyry’s reading of Homer’s image of Odysseus under guidance of the goddess Athena. _Phronesis_ inspires the soul to incline towards the level of Intellect that is, away from damaging influences of the body to which the soul is enslaved and which confuses it with desires, passions, fears and illusory impressions, and prevents it from attaining the intelligible realm, whereas the body and its desires lead us to conflict and unjust behaviour in order to gain wealth, status, power, and pleasure. (shrink)

Drawing on recent scholarship and delving systematically into Iamblichean texts, these ten papers establish Iamblichus as the great innovator of Neoplatonic philosophy who broadened its appeal for future generations of philosophers.

El problema de la causalidad universal está planteado y resuelto por los filósofos neoplatónicos de la Antigüedad Tardía a partir del principio de acuerdo con el cual todo ente extrae el propio origen a partir de un principio superior y trascendente: el Uno. Sin embargo, sobre esta línea unitaria, t..