This paper presents an analysis of Seneca's 58th letter to Lucilius and Porphyry's Isagoge, which were the origin of the tree diagrams that became popular in philosophy and logic from the early Middle Ages onwards. These diagrams visualise the extent to which a concept can be understood as a category, genus, species or individual and what the method of dihairesis (division) means. The paper explores the dissimilarities between Seneca's and Porphyry's tree structures, scrutinising them through the perspective of (...) modern graph theory. Although traditional trees can be interpreted in a modern way, their terms and definitions defy modern standardisation. These distinctions are not only useful for differentiating between Seneca's and Porphyry's trees, but also for comprehending the evolution of this philosophical tradition. Thus the paper highlights the continued significance of these tree diagrams in analysing concepts and categories in philosophy and structuring objects and information in modern fields such as artificial intelligence, computer science, bioinformatics, graph theory, and many more. (shrink)

Although recent scholarship has begun to clarify Porphyry’s position on the first principle in its distinction from that of Plotinus we must be careful not to gloss over the crucial ramifications of Porphyry’s developments. The Plotinian One is beyond Being, and thus beyond all relation and difference. In his attempt to understand how such a principle can be productive of all else that follows from it, Porphyry considers the Plotinian One in both its transcendent and creative aspects, (...) introducing the notions of difference and self-relation within the One itself. Porphyry’s modifications of Plotinus’s doctrine, however, result in a first principle having a character utterly distinct from what Plotinus envisioned, and from what I believe Plotinus would have accepted. Because Porphyry’s first principle is relational, it loses its decisive Plotinian character as absolutely transcendent. This distinction between the first principles of Porphyry and Plotinus has important ramifications for each of their philosophical itineraria, and further strengthens the status of Plotinus within the Neoplatonic tradition. Plotinus is a unique thinker within the Neoplatonic tradition, and we must be careful not to equate Neoplatonism with Plotinus, when in fact, it is Plotinus who against both his own predecessors and successors often stands alone. (shrink)

Describes a Neoplatonic hierarchy of the cardinal virtues extending to immaterial beings, and compares its appropriation by Bonaventure and Aquinas.

In the newly-discovered “On Principles and Matter”—we can definitely ascertain by Porphyry—the author concludes that there must be two principles responsible for all beings, or at least all sensible beings: God (the active cause) and matter (the passive cause). In large part this agrees with Atticus’ position, which the text also quotes, and which we also know Porphyry engaged with vigorously, from Proclus’ Timaeus Commentary. However there is a something odd about this text’s Porphyry: we seem to (...) have a positive argument for much of Antiochus’ framework of two principles, while in Proclus’ testimony we have a negative argument for the very same position. In this paper I analyze in detail the positive argument for the two principles given in “On Principles”, and I consider the degree to which Porphyry may be supplying a dialectical argument at this point in the text, before eventually criticizing the same view elsewhere (as in Proclus’ testimony). I also consider other points of contact for the text’s two-principles framework with Porphyry’s other extant works and show some consequences for Porphyry’s overall position. (shrink)

In the commentaries on Porphyry Boethius on the one hand explains the properties of predication relation at abstract level, from another hand he supplies some ontological options about what can instantiate the terms of the relation, at the end he seems to prefer the similarities as objects of abstract thought. Other options are anyway present, in the commentary on Categories and in the Theological Treatises. One cannot say that the catalogues are complementary or that the same things are catalogued (...) once only, under the same label. On the contrary, objects such as forms, essences and material components can be considered from points of view that are different and not easily comparable. In the present article I will deal with Boethius’ ontological approach not strictly concerned with the Porphyrian text and riddle. (shrink)

Animals, the beautiful creatures of God in the Stoic and especially in Porphyry’s sense, need to be treated as rational. We know that the Stoics ask for justice for all rational beings, but there is no significant proclamation from their side that openly talks in favour of animal justice. They claim the rationality of animals but do not confer any rights to human beings. The later Neo-Platonist philosopher Porphyry magnificently deciphers this idea in his writing On Abstinence from (...) Animal Food. Aristotle’s successor Theophrastus thinks that both animals and humans are made up of the same tissues, and like a human, animals also have the same way of perception, reasoning and appetites. My next effort would be to decipher how Porphyry illustrates Theophrastus’ perspective not in the way (the technical theory of justice) the Stoics argued. Porphyry’s stance seems more humanistic that looks for the pertinent reasons for treating animal rights from the contention of justice that Aristotle, in his early writings, defied since animals can deal with reasons. The paper highlights how much we could justificatorily demand empathetic concern for animals from the outlook of the mentioned Greek thinkers and the modern animal rights thinkers as quasi-right of animals, even if my position undertakes the empathetic ground for animals in an undeserving humanitarian way. (shrink)

This paper critically examines the use of the name 'Pseudo-Archytas' to refer to two aspects of the reception of Archytas of Tarentum in antiquity: the 'author-inflection' and the 'authority-inflection'. In order to make progress on our understanding of authority and authorship within the Pythagorean tradition, it attempts to reconstruct Porphyry's views on the importance of Archytas as guarantor of Pythagorean authenticity in the former's lost work On the History of the Philosophers by considering a fragment preserved in Arabic by (...) Ibn Abī Uṣaybi‘a. The article finally argues that a range of problems attend our use of the term 'pseudo-Archytas', which is not fit for purpose when considering the evidence regarding authorship and authority in the Pythagorean tradition. It recommends a more critical approach to the notion of authenticity within the Pythagorean tradition and suggests a new term, 'Archytism', as a more useful point of reference. (shrink)

The article focuses on Jamblichus’ concept of “nothingness” in comparison to Augustine’s humility as turning-point and conditions for the soul’s ascent to the divine and/or for salvation. It claims that both authors respond to specific teachings of Porphyry, who thus appears as something like a common enemy, and can help explain certain similarities between the Hellenic theurgist and the Catholic bishop, notwithstanding other profound differences between their philosophical views on the human person and its relation to the divine.

This paper introduces the special issue on the Concept of God of the Journal of Applied Logics (College Publications). The issue contains the following articles: Logic and the Concept of God, by Stanisław Krajewski and Ricardo Silvestre; Mathematical Models in Theology. A Buber-inspired Model of God and its Application to “Shema Israel”, by Stanisław Krajewski; Gödel’s God-like Essence, by Talia Leven; A Logical Solution to the Paradox of the Stone, by Héctor Hernández Ortiz and Victor Cantero; No New Solutions to (...) the Logical Problem of the Trinity, by Beau Branson; What Means ‘Tri-’ in ‘Trinity’ ? An Eastern Patristic Approach to the ‘Quasi-Ordinals’, by Basil Lourié; The Éminence Grise of Christology: Porphyry’s Logical Teaching as a Cornerstone of Argumentation in Christological Debates of the Fifth and Sixth Centruies, by Anna Zhyrkova; The Problem of Universals in Late Patristic Theology, by Dirk Krasmüller; Intuitionist Reasoning in the Tri-unitrian Theology of Nicolas of Cues, by Antonino Drago. (shrink)

This article focuses on the reception of Aristotle’s Categories by the first three representatives of Greek Neoplatonism: Plotinus (204/205–270 CE), Porphyry (ca. 234–ca. 305 CE), Iamblichus (ca. 242–ca. 325 CE). The first section argues that Plotinus’ acquaintance with Aristotle’s treatises marked a fresh start vis-à-vis the previous Platonist tradition. Aristotle’s views, arguments and vocabulary are ubiquitous in Plotinus writings (the Enneads) and they must be considered an essential part of his philosophical project. Plotinus, however, does not share some of (...) Aristotle’s key theories and is critical of them. The second section focuses on Plotinus’ discussion of Aristotle’s Categories in the tripartite treatise On the Genera of Being (6.1–3). There he rejects the Peripatetic division into ten categories as providing an incomplete account of the genera of being that unduly omits “those which are most authentically beings”, i.e. Plato’s separate Forms. While drawing on earlier Platonist objections to Aristotle, Plotinus’ approach is original insofar as he criticizes Aristotle and his followers not only for omitting intelligible beings in the division of categories, but also for being unable, for this very reason, to work out an adequate division of sensible beings themselves. The third section is devoted to Porphyry, a student of Plotinus’ and the editor of his works. Porphyry worked intensively on Aristotle’s Categories, which he regarded as an introduction not only to logic, but to philosophy as a whole. Unlike Plotinus, Porphyry aimed to integrate Aristotle into Platonism and his engagement with the Categories was a key part of his project after Plotinus’ in-depth criticism. Porphyry’s approach is connected to his view of the subject-matter of the Categories, which he sees as focusing on words insofar as they signify beings, and not on beings as such. The fourth section focuses on some parallels between Plotinus’ Genera of Beings and Porphyry’s works, which may reflect the debate within Plotinus’ school. The fifth section focuses on Iamblichus of Chalcis. Both in theology and in the interpretation of Aristotle’s Categories, Iamblichus aimed to both continue and supplant Porphyry’s work. While Plotinus criticizes Aristotle’s categories for omitting intelligible beings, and while Porphyry accepts Aristotle’s categories insofar as they focus on words signifying sensible things, Iamblichus incorporates his Neoplatonist and Pythagorizing metaphysics into the interpretation of the Categories. (shrink)

The philosophical problem of universals is traditionally framed as the problem about the ontological status of universals. It is often said that the ontological status of universals is a post-Aristotelian problem that was bequeathed to the Middle Ages by a famous sentence in Porphyry's Isagoge. 1 Porphyry raises but then refuses to answer three questions about the ontological status of genera and species, saying that they are too "deep" for the present investigation. 2 Although Porphyry is the (...) first to announce the problem, it was Boethius's commentary on Porphyry, rather than the Isagoge itself, that made this sentence famous and that is therefore responsible for the problem of universals in .. (shrink)

Peter Abelard's claim that universals are only words is well known, yet its metaphysical bearing for Abelard's philosophy is much disputed. Peter King has recently suggested that Abelard's nominalism is only an element of his larger irrealist metaphysic. Against this interpretation, I argue that Abelard's view is better understood as a form of moderate realism and a development of the solution attempted by Boethius in his Second Commentary on Porphyry's Isagoge. Both Abelard and Boethius clearly deny the independent existence (...) of universals, yet they should not be called irrealists, since they agree that universal words or concepts have a firm basis in real, individual things. (shrink)

Plotinus: Virtue Ethics This article focuses on the virtue ethics of Plotinus and its implications for later accounts of virtue ethics, particularly in Porphyry and Iamblichus. Plotinus' ethical theory is discussed in relation to the aim of the virtuous person to become godlike, the role of disposition in the soul's intellectualization, the four … Continue reading Plotinus: Virtue Ethics.

This introduction presents an overview of the key concepts discussed in the subsequent chapters of this book. The book explores, inter alia, the strategy employed by Augustine in using Plato as a pseudo-prophet against later Platonists and explores Eusebius’ reception of Porphyry’s daemonology. It examines Plotinus’ claim that matter is absolute badness and focuses on Maximus the Confessor’s doctrine of creation and asks whether one may detect any influence on Maximus from Philoponus. The book addresses Christian receptions of Platonic (...) metaphysics and also examines the philosophy of number in Augustine’s early works. It argues that the aspect of Augustine’s philosophy must be read in context with the intellectual problems that occupied him at the beginning of his career as a writer. It draws on a number of sources to investigate the development of the doctrine and the various intellectual issues it confronted, including Plato’s Timaeus, Philo of Alexandria, Clement of Alexandria, Origen, Plotinus and, finally, Athanasius. (shrink)

Petrus Nigri (Schwarz) se narodil západočeské Kadani (něm. Kaaden) kolem roku 1435 a spolu se svými třemi bratry vstoupil v Německu do dominikánského řádu. Během svého studia prošel velkou část Evropy (Německo, Itálii, Španělsko, Čechy a Maďarsko) a nakonec se stal rektorem generálního studia v Budíně (1481). Obecně je znám spíše jako význačný středověký hebraista. Do dějin filosofie se zapsal zvláště jako autor Clipeus thomsitarum (před r. 1474), což je filosofický komentář na Porfýriův Úvod (Isagoge) a na aristotelovské Kategorie, formou (...) otázek. Třebaže Nigriho práce není originální, představuje v zaalpských zemích významnou recepci pojetí pomyslného jsoucna (Clipeus, část I, ot. 3-4) tak, jak ho koncipoval Hervaeus Natalis († 1323) ve svém traktátu De secundis intentionisbus. -/- Petrus Nigri (Peter Schwarz, born in Kadaň/Kaaden before 1435, died in Buda 1483), is author of Clipeus thomistarum (printed 1481), a philosophical commentary on Porphyry's Introduction (Isagoge), and on Aristotle's Categories in the form of questions. While Nigri's discussion of the concept of being of reason (Clipeus thomistarum, part I, qq. 3-4) is not original, his work is important for contributing to this concept’s reception, and with it the teaching of Hervaeus Natalis (died 1323) in his treatise De secundis intentionibus, in the transalpine countries. Being of reason (ens rationis) is conceived as not a categorial being, nor is it an intellectual operation, nor is it caused, but is only identifiable by the human intellect. Nigri's being of reason has no subjective existence, but only an objective character, which differs both from categorial being and from mere nothingness. (shrink)

This paper examines the relation between Pythagorean and Heraclitean political views. I argue that for Pythagoras, Heraclitus, and Archytas the cosmological and musical notions of harmony (ἁρμονία) and the related notion of concord (ὁμόνοια) have an intrinsic political significance. These thinkers variously reflect upon political harmony and concord, and agree that a crucial condition for it is law (νόμος), which according to Pythagoras and Heraclitus has a divine origin. I begin with the Heraclitean fragments 22 B51, 54, 72, and 114 (...) DK, in which social and political reflection is connected with the theory of the harmony of opposites. In the case of Pythagoras and early Pythagoreanism, the intense, albeit indirect political influence in Magna Graecia—as transmitted by Iamblichus and Porphyry—offers evidence for social and political ideas determined by a reflection on the cosmological role of harmony and number. Finally, Archytas’ political application of rational calculation in fragment 47 B3 DK, which aims at producing concord by establishing the just measures of wealth in the city, together with the testimony on Archytas’ intense and fruitful political activity, can be taken as confirmation that the thinker’s wider cosmological views were indeed intertwined with his political reflection and action. (shrink)

In the course of examining the origin of evil in the De malorum subsistentia, Proclus reproduces a position that considers the maleficent (world-)soul as cause of evil. The same entity is held to co-govern the material realm alongside the beneficent world-soul. While scholarship tends to associate the testimonium with Plutarch (and Atticus), this survey shows why Numenius of Apamea is a much more probable candidate. The discussion concludes with further proposals for a new edition of Numenius, including possible traces of (...) Numenius in Iamblichus’ On Soul and Porphyry's On the Faculties of Soul. (shrink)

Explains Aristotle's views on the possibility of continuous variation between biological species. While the Porphyrean/Linnean classification of species by a tree suggests species are distributed discretely, Aristotle admitted continuous variation between species among lower life forms.

The text is a drought outlining the development of logic in Bosnia and Herzegovina through several periods of history: period of Ottoman occupation and administration of the Empire, period of Austro-Hungarian occupation and administration of the Monarchy, period of Communist regime and administration of the Socialist Republic and period from the aftermath of the aggression against the Republic of Bosnia and Herzegovina to this day (the Dayton Bosnia and Herzegovina) and administration of the International Community. For each of the aforementioned (...) periods, the text treats the organization of education, the educational paradigm of the model, status of logic as a subject in the educational system of a period, as well as the central figures dealing with the issue of logic (as researchers, lecturers, authors) and the key works written in each of the periods, outlining their main ideas. Thework of aNeoplatonic philosopher Porphyry, “Introduction” (Greek: Eisagogee), Latin: Isagoge; Arabic: Īsāġūğī), can be seen, in all periods of education in Bosnia and Herzegovina, as the main text, the principal textbook, as a motivation for logical thinking. That gave me the right to introduce the syntagm Bosnia Porphyriana. (shrink)

This paper looks at Gregory of Nyssa's so-called "bundle theory" sensible individuals and matter (as recently argued by Gerd Van Riel and Thomas Wauters in a 2020 article) amidst the broader context of Gregory's view of created beings and his reception of Neoplatonist, Stoic, and Aristotelian conceptions of particulars and matter. I argue that Gregory's position is closer to an Aristotelian position, despite the parallels to Plotinus and other contemporaneous bundle theory positions: in arguing against prime matter, and insofar as (...) he emphasizes the identity of each kind of created being with its material substrate—understood as a "bundle" of properties—Gregory inadvertently upholds a reading of Aristotle that refutes an ontological notion of prime matter. (shrink)