…A reconstructed imaginal account of Alexander’s (the Great) historical letter to Aristotle pursuant to his (in-) famous meeting with the gymnosophist Dandimus on the paradoxes of Zeno ( presaging those of Nagarjuna ) as a means of presenting a synthesis of the stasis and dynamism implicit in the potential of a phenomenally real world beyond a rigid designation of a chain-of-being taxonomy where animal dignity resides side by side with predator-prey relations and a mind-laden ( theory ) of (...) evolution. (shrink)

It will be shown in this article that an ontological approach for some problems related to the interpretation of Quantum Mechanics (QM) could emerge from a re-evaluation of the main paradox of early Greek thought: the paradox of Being and non-Being, and the solutions presented to it by Plato and Aristotle. More well known are the derivative paradoxes of Zeno: the paradox of motion and the paradox of the One and the Many. They stem from what was perceived by classical (...) philosophy to be the fundamental enigma for thinking about the world: the seemingly contradictory results that followed from the co-incidence of being and non-being in the world of change and motion as we experience it, and the experience of absolute existence here and now. The most clear expression of both stances can be found, again following classical thought, in the thinking of Heraclitus of Ephesus and Parmenides of Elea. The problem put forward by these paradoxes reduces for both Plato and Aristotle to the possibility of the existence of stable objects as a necessary condition for knowledge. Hence the primarily ontological nature of the solutions they proposed: Plato’s Theory of Forms and Aristotle’s metaphysics and logic. Plato’s and Aristotle’s systems are argued here to do on the ontological level essentially the same: to introduce stability in the world by introducing the notion of a separable, stable object, for which a ‘principle of contradiction’ is valid: an object cannot be and not-be at the same place at the same time. So it becomes possible to forbid contradiction on an epistemological level, and thus to guarantee the certainty of knowledge that seemed to be threatened before. After leaving Aristotelian metaphysics, early modern science had to cope with these problems: it did so by introducing “space” as the seat of stability, and “time” as the theater of motion. But the ontological structure present in this solution remained the same. Therefore the fundamental notion ‘separable system’, related to the notions observation and measurement, themselves related to the modern concepts of space and time, appears to be intrinsically problematic, because it is inextricably connected to classical logic on the ontological level. We see therefore the problems dealt with by quantum logic not as merely formal, and the problem of ‘non-locality’ as related to it, indicating the need to re-think the notions system, entity, as well as the implications of the operation ‘measurement’, which is seen here as an application of classical logic (including its ontological consequences) on the material world. (shrink)

1.Summary The key terms. 1. Key term: ‘Sunyata’. Nagarjuna (Kumarajiva) is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna (Kumarajiva) declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That nothing can be found, that there is nothing, that nothing exists? Was (...) Nagarjuna (Kumarajiva) denying the external world? Did he wish to refute that which evidently is? Did he want to call into question the world in which we live? Did he wish to deny the presence of things that somehow arise? My first point is the refutation of this traditional translation and interpretation. 2. Key terms: ‘Dependence’ or ‘relational view’. My second point consists in a transcription of the keyword of ‘sunyata’ by the word ‘dependence’. This is something that Nagarjuna (Kumarajiva) himself has done. Now Nagarjuna’s (Kumarajiva’s) central view can be named ‘dependence of things’. Nagarjuna (Kumarajiva) is not looking for a material or immaterial object which can be declared as a fundamental reality of this world. His fundamental reality is not an object. It is a relation between objects. This is a relational view of reality. This is the heart of Nagarjuna’s (Kumarajiva’s) ideas. In the 19th century a more or less unknown Italian philosopher, Vincenzo Goberti, spoke about relations as the mean and as bonds between things. Later, in quantum physics and in the philosophy of Alfred North Whitehead we are talking about interactions and entanglements. These ideas of relatedness or connections or entanglements in Eastern and Western modes of thought are the main idea of this essay. Not all entanglements are known. Just two examples: the nature of quantum entanglements is not known. Quantum entanglements should be faster than light. That's why Albert Einstein had some doubts. A second example: the completely unknown connections between the mind and the brain. Other examples are mysterious like the connections between birds in a flock. Some are a little known like gravitational forces. 3. Key terms: ‘Arm in arm’. But Nagarjuna (Kumarajiva) did not stop there. He was not content to repeat this discovery of relational reality. He went on one step further indicating that what is happening between two things. He gave indications to the space between two things. He realized that not the behaviour of bodies, but the behaviour of something between them may be essential for understanding the reality. This open space is not at all empty. It is full of energy. The open space is the middle between things. Things are going arm in arm. The middle might be considered as a force that bounds men to the world and it might be seen as well as a force of liberation. It might be seen as a bondage to the infinite space. 4. Key term: Philosophy. Nagarjuna (Kumarajiva), we are told, was a Buddhist philosopher. This statement is not wrong when we take the notion ‘philosophy’ in a deep sense as a love to wisdom, not as wisdom itself. Philosophy is a way to wisdom. Where this way has an end wisdom begins and philosophy is no more necessary. A.N. Whitehead gives philosophy the commission of descriptive generalization. We do not need necessarily a philosophical building of universal dimensions. Some steps of descriptive generalization might be enough in order to see and understand reality. There is another criterion of Nagarjuna’s (Kumarajiva’s) philosophy. Not his keywords ‘sunyata’ and ‘pratityasamutpada’ but his 25 philosophical examples are the heart of his philosophy. His examples are images. They do not speak to rational and conceptual understanding. They speak to our eyes. Images, metaphors, allegories or symbolic examples have a freshness which rational ideas do not possess. Buddhist dharma and philosophy is a philosophy of allegories. This kind of philosophy is not completely new and unknown to European philosophy. Since Plato’s allegory of the cave it is already a little known. (Plato 424 – 348 Befor Current Era) The German philosopher Hans Blumenberg has underlined the importance of metaphors in European philosophy. 5. Key terms: Quantum Physics. Why quantum physics? European modes of thought had no idea of the space between two this. They were bound to the ideas of substance or subject, two main metaphysical traditions of European philosophical history, two main principles. These substances and these subjects are two immaterial bodies which were considered by traditional European metaphysics as lying, as a sort of core, inside the objects or underlying the empirical reality of our world. The first European scientist who saw with his inner eye the forces between two things had been Michael Faraday (1791-1867). Faraday was an English scientist who contributed to the fields of electromagnetism. Later physicists like Albert Einstein, Niels Bohr, Erwin Schrödinger, Werner Heisenberg and others followed his view in modern physics. This is a fifth point of my work. I compare Nagarjuna (Kumarajiva) with European scientific modes of thought for a better understanding of Asia. I do not compare Nagarjuna (kumarajiva) with European philosophers like Hegel, Heidegger, Wittgenstein. The principles and metaphysical foundations of physical sciences are more representative for European modes of thought than the ideas of Hegel, Heidegger and Wittgenstein and they are more precise. And slowly we are beginning to understand these principles. Let me take as an example the interpretation of quantum entanglement by the British mathematician Roger Penrose. Penrose discusses in the year of 2000 the experiences of quantum entanglement where light is separated over a distance of 100 kilometers and still remains connected in an unknown way. These are well known experiments in the last 30 years. Very strange for European modes of thought. The light should be either separated or connected. That is the expectation most European modes of thought tell us. Aristotle had been the first. Aristotle (384 - 322 Before Current Era) was a Greek philosopher, a student of Plato and a teacher of Alexander the Great. He told us the following principle as a metaphysical foundation: Either a situation exists or not. There is not a third possibility. Now listen to Roger Penrose: “Quantum entanglement is a very strange type of thing. It is somewhere between objects being separate and being in communication with each other” (Roger Penrose, The Large, the Small and the Human Mind, Cambridge University Press. 2000 page 66). This sentence of Roger Penrose is a first step of a philosophical generalization in a Whiteheadian sense. 6. Key terms: ‘The metaphysical foundations of modern science’ had been examined particularly by three European and American philosophers: E. A. Burtt, A.N. Whitehead and Hans-Georg Gadamer, by Gadamer eminently in his late writings on Heraclitus and Parmenides. I try to follow the approaches of these philosophers of relational views and of anti-substantialism. By ‘metaphysical foundations’ Edwin Arthur Burtt does not understand transcendental ideas but simply the principles that are underlying sciences. 7. Key terms: ‘Complementarity’, ‘interactions’, ‘entanglements’. Since 1927 quantum physics has three key terms which give an indication to the fundamental physical reality: Complementarity, interactions and entanglement. These three notions are akin to Nagarjuna’s (Kumarajiva’s) relational view of reality. They are akin and they are very precise, so that Buddhism might learn something from these descriptions and quantum physicists might learn from Nagarjuna’s (Kumarajiva’s) examples and views of reality. They might learn to do a first step in a philosophical generalisation of quantum physical experiments. All of us we might learn how objects are entangled or going arm in arm. [The end of the summary.]. (shrink)

Zeno’s paradoxes of motion, allegedly denying motion, have been conceived to reinforce the Parmenidean vision of an immutable world. The aim of this article is to demonstrate that these famous logical paradoxes should be seen instead as paradoxes of immobility. From this new point of view, motion is therefore no longer logically problematic, while immobility is. This is convenient since it is easy to conceive that immobility can actually conceal motion, and thus the proposition “immobility is mere illusion of the (...) senses” is much more credible than the reverse thesis supported by Parmenides. Moreover, this proposition is also supported by modern depiction of material bodies: the existence of a ceaseless random motion of atoms—the ‘thermal agitation’—in the scope of contemporary atomic theory, can offer a rational explanation of this ‘illusion of immobility’. Our new approach to Zeno’s paradoxes therefore leads to presenting the novel concept of ‘impermobility’, which we think is a more adequate description of physical reality. (shrink)

Although the historical reputation of Gottfried Wilhelm Leibniz (1646–1716) largely rests on his philosophical and mathematical work, it is widely known that he made important contributions to many of the emerging but still inchoate branches of natural science of his day. Among the many scientific papers Leibniz published during his lifetime are ones on the nascent science we now know as hydrology. While Leibniz’s other scientific work has become of increasing interest to scholars in recent years, his thinking about (...) hydrology has been neglected, despite being relatively broad in extent, including as it does papers on the ‘raising of vapours’ and the formation of ice, as well as the separation of salt and fresh water. That list can now be extended still further following the discovery of a previously unpublished letter of Leibniz’s on the causes of the devastating Lombardy flood of October and November 1705. This letter, which will be the focus of our paper, reveals the depth of Leibniz’s understanding of key hydrological processes. In it, he considers various mechanisms for the flood, such as heavy rains on high ground, underwater earthquakes, and a mountain collapse. Over the course of the paper we examine each of these mechanisms in depth, and show that Leibniz was in the vanguard of hydrological thinking. We also show that the letter contains one of the first scholarly attempts to apply aspects of the still-forming notion of the hydrological cycle to account for a flood event. (shrink)

1.Summary The key terms. 1. Key term: ‘Sunyata’. Nagarjuna is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That nothing can be found, that there is nothing, that nothing exists? Was Nagarjuna denying (...) the external world? Did he wish to refute that which evidently is? Did he want to call into question the world in which we live? Did he wish to deny the presence of things that somehow arise? My first point is the refutation of this traditional translation and interpretation. 2. Key terms: ‘Dependence’ or ‘relational view’. My second point consists in a transcription of the keyword of ‘sunyata’ by the word ‘dependence’. This is something that Nagarjuna himself has done. Now Nagarjuna’s central view can be named ‘dependence of things’. Nagarjuna is not looking for a material or immaterial object which can be declared as a fundamental reality of this world. His fundamental reality is not an object. It is a relation between objects. This is a relational view of reality. This is the heart of Nagarjuna’s ideas. In the 19th century a more or less unknown Italian philosopher, Vincenzo Goberti, spoke about relations as the mean and as bonds between things. Later, in quantum physics and in the philosophy of Alfred North Whitehead we are talking about interactions and entanglements. These ideas of relatedness or connections or entanglements in Eastern and Western modes of thought are the main idea of this essay. Not all entanglements are known. Just two examples: the nature of quantum entanglements is not known. Quantum entanglements should be faster than light. That's why Albert Einstein had some doubts. A second example: the completely unknown connections between the mind and the brain. Other examples are mysterious like the connections between birds in a flock. Some are a little known like gravitational forces. 3. Key terms: ‘Arm in arm’. But Nagarjuna did not stop there. He was not content to repeat this discovery of relational reality. He went on one step further indicating that what is happening between two things. He gave indications to the space between two things. He realized that not the behaviour of bodies, but the behaviour of something between them may be essential for understanding the reality. This open space is not at all empty. It is full of energy. The open space is the middle between things. Things are going arm in arm. The middle might be considered as a force that bounds men to the world and it might be seen as well as a force of liberation. It might be seen as a bondage to the infinite space. 4. Key term: Philosophy. Nagarjuna, we are told, was a Buddhist philosopher. This statement is not wrong when we take the notion ‘philosophy’ in a deep sense as a love to wisdom, not as wisdom itself. Philosophy is a way to wisdom. Where this way has an end wisdom begins and philosophy is no more necessary. A.N. Whitehead gives philosophy the commission of descriptive generalization. We do not need necessarily a philosophical building of universal dimensions. Some steps of descriptive generalization might be enough in order to see and understand reality. There is another criterion of Nagarjuna’s philosophy. Not his keywords ‘sunyata’ and ‘pratityasamutpada’ but his 25 philosophical examples are the heart of his philosophy. His examples are images. They do not speak to rational and conceptual understanding. They speak to our eyes. Images, metaphors, allegories or symbolic examples have a freshness which rational ideas do not possess. Buddhist dharma and philosophy is a philosophy of allegories. This kind of philosophy is not completely new and unknown to European philosophy. Since Plato’s allegory of the cave it is already a little known. (Plato 424 – 348 Befor Current Era) The German philosopher Hans Blumenberg has underlined the importance of metaphors in European philosophy. 5. Key terms: Quantum Physics. Why quantum physics? European modes of thought had no idea of the space between two this. They were bound to the ideas of substance or subject, two main metaphysical traditions of European philosophical history, two main principles. These substances and these subjects are two immaterial bodies which were considered by traditional European metaphysics as lying, as a sort of core, inside the objects or underlying the empirical reality of our world. The first European scientist who saw with his inner eye the forces between two things had been Michael Faraday (1791-1867). Faraday was an English scientist who contributed to the fields of electromagnetism. Later physicists like Albert Einstein, Niels Bohr, Erwin Schrödinger, Werner Heisenberg and others followed his view in modern physics. This is a fifth point of my work. I compare Nagarjuna with European scientific modes of thought for a better understanding of Asia. I do not compare Nagarjuna with European philosophers like Hegel, Heidegger, Wittgenstein. The principles and metaphysical foundations of physical sciences are more representative for European modes of thought than the ideas of Hegel, Heidegger and Wittgenstein and they are more precise. And slowly we are beginning to understand these principles. Let me take as an example the interpretation of quantum entanglement by the British mathematician Roger Penrose. Penrose discusses in the year of 2000 the experiences of quantum entanglement where light is separated over a distance of 100 kilometers and still remains connected in an unknown way. These are well known experiments in the last 30 years. Very strange for European modes of thought. The light should be either separated or connected. That is the expectation most European modes of thought tell us. Aristotle had been the first. Aristotle (384 - 322 Before Current Era) was a Greek philosopher, a student of Plato and a teacher of Alexander the Great. He told us the following principle as a metaphysical foundation: Either a situation exists or not. There is not a third possibility. Now listen to Roger Penrose: “Quantum entanglement is a very strange type of thing. It is somewhere between objects being separate and being in communication with each other” (Roger Penrose, The Large, the Small and the Human Mind, Cambridge University Press. 2000 page 66). This sentence of Roger Penrose is a first step of a philosophical generalization in a Whiteheadian sense. 6. Key terms: ‘The metaphysical foundations of modern science’ had been examined particularly by three European and American philosophers: E. A. Burtt, A.N. Whitehead and Hans-Georg Gadamer, by Gadamer eminently in his late writings on Heraclitus and Parmenides. I try to follow the approaches of these philosophers of relational views and of anti-substantialism. By ‘metaphysical foundations’ Edwin Arthur Burtt does not understand transcendental ideas but simply the principles that are underlying sciences. -/- 7. Key terms: ‘Complementarity’, ‘interactions’, ‘entanglements’. Since 1927 quantum physics has three key terms which give an indication to the fundamental physical reality: Complementarity, interactions and entanglement. These three notions are akin to Nagarjuna’s relational view of reality. They are akin and they are very precise, so that Buddhism might learn something from these descriptions and quantum physicists might learn from Nagarjuna’s examples and views of reality. They might learn to do a first step in a philosophical generalisation of quantum physical experiments. All of us we might learn how objects are entangled or going arm in arm. [The end of the summary.] -/- « Wenn du gerade das, wodurch auch immer du gefesselt bist, erkennst, wirst du zur Freiheit gelangen. Wenn du diesen speziellen Pfad verwirklichst, gelangst du in einem Leben zur Buddhaschaft. Deswegen verhält es sich folgendermaßen : Wenn plötzlich die Geistesregung « Begierde » enststeht, dann betrachte, ohne ihr zu folgen, direkt ihre Essenz und verweile in dieser Betrachtung, ohne Ablenkungen zuzulassen. Auf diese Weise reinigt Begierde sich selbst, ohne aufgegeben zu werden, da sie ohne Grundlage und Ursprung entsteht. Das wird « Befreiung in sich selbst », « unterscheidende ursprüngliche Weisheit » oder Buddha Amitabha » genannt ». Jigden Sumgön, Licht, das die Dunkelheit durchbricht, Otter Verlag, München 2006, Seite 47, 48 . (shrink)

Alexander Livingston’s fascinating examination of William James’ work in Damn Great Empires!: William James and the Politics of Pragmatism argues that “William James was an important and innovative theorist of politics.” Livingston claims that James’ anti-imperialist arguments in the letters, editorials, and speeches collected in the Nachlass are an important part of James’ philosophical corpus that provides a critical lens through which the rest of James’ work can be fruitfully read. Though Livingston is not the first to propose a (...) political reexamination of James’ thought, his careful and systematic book-length work provides one of the strongest and most sustained arguments for a historical reinterpretation of James. In this review, I point out some of the strengths and limitations of Livingston's project. (shrink)

This article attempts to elucidate the phenomenon of time and its relationship to consciousness. It defends the idea that time exists both as a psychological or illusory experience, and as an ontological property of spacetime that actually exists independently of human experience.

We outline Brentano’s theory of boundaries, for instance between two neighboring subregions within a larger region of space. Does every such pair of regions contain points in common where they meet? Or is the boundary at which they meet somehow pointless? On Brentano’s view, two such subregions do not overlap; rather, along the line where they meet there are two sets of points which are not identical but rather spatially coincident. We outline Brentano’s theory of coincidence, and show how he (...) uses it to resolve a number of Zeno-like paradoxes. (shrink)

Zeno’s Arrow and Nāgārjuna’s Fundamental Wisdom of the Middle Way Chapter 2 contain paradoxical, dialectic arguments thought to indicate that there is no valid explanation of motion, hence there is no physical or generic motion. There are, however, diverse interpretations of the latter text, and I argue they apply to Zeno’s Arrow as well. I also find that many of the interpretations are dependent on a mathematical analysis of material motion through space and time. However, with modern philosophy and physics (...) we find that the link from no explanation to no phenomena is invalid and that there is a valid explanation and understanding of physical motion. Hence, those arguments are both invalid and false, which banishes the MMK/2 and The Arrow under this and derivative interpretations to merely the history of philosophy. However, a view that maintains their relevance is that each is used as a koan or sequence of koans designed to assist students in spiritual meditation practice. This view is partly justified by the realization that both Nāgārjuna and Zeno were likely meditation masters in addition to being logicians. The works are, therefore, not works that should be assessed as having valid arguments and true conclusions by the standards of modern analytic philosophy—contrary to some of the literature—but rather are therapeutic and perhaps more appropriately considered as part of an experientially focused philosophy such as existentialism, phenomenology or religion. (shrink)

- Applying the law of conservation of time to solve the Achilles and the tortoise paradox. - Applying the smallest unit of time T_min in the universe to solve the Dichotomy paradox. - Applying the disappearing property of matter when moving to solve the Arrow paradox.

The article uses Zeno’s metrical paradox of extension, or Zeno’s fundamental paradox, as a thought-model for the mind-body problem. With the help of this model, the distinction contained between mental and physical phenomena can be formulated as sharply as possible. I formulate Zeno’s fundamental paradox and give a sketch of four different solutions to it. Then I construct a mind-body paradox corresponding to the fundamental paradox. Through that, it becomes possible to copy the solutions to the fundamental paradox on the (...) mind-body paradox. Three of them fail. But one of them – the Aristotelian one – gives us an interesting hint. Finally, this hint is pursued somewhat further and through comparison with Zeno’s fundamental paradox, the impossibility of a solution to the mind-body problem is shown again. The main new point of this article is the comparison of the mind-body problem with Zeno’s fundamental paradox. The article is a revised english version of an article published in: Allgemeine Zeitschrift für Philosophie, 23, 1998, p. 61-75. (shrink)

In the 13th century, the availability of Aristotle’s treatises of natural philosophy encouraged forms of integration between libri naturales and sapientia biblica. Instead of diving into allegory and symbolism, several Dominican exegetes began to explore more realistic approaches. The foremost figure is Albert the Great. In his biblical commentaries, philosophy of nature and theology join forces as complementary forms of knowledge. By focusing on Albert’s De vegetabilibus, this paper is aimed at analyzing in which ways the Dominican master reuses his (...) naturalistic and, especially, botanical knowledge as an exegetical tool to deepen both the historical and the allegorical sense, realism and spiritual interpretation. (shrink)

This study of Greek time before Aristotle’s philosophy starts with a commentary on his first text, the Protrepticus. We shall see two distinct forms of time emerge: one initiatory, circular and Platonic in inspiration, the other its diametrical opposite, advanced by Aristotle. We shall explore this dichotomy through a return to poetic conceptions. The Tragedians will give us an initial outline of the notion of time in the Greek world (Fate); we shall then turn to Homer in order to better (...) grasp the complex relations between time and the religious sphere (the Hero); the work of the great theologian Hesiod will confirm this initiatory vision, later set out in remarkable fashion by Nietzsche (Myths); we shall then dive deep into Pythagoreanism to complete our account (Mysteries). Having understood this current of thought, powerfully influenced by the Iranian theogony, we shall be able to discern its clear differences from the so-called “Ionian” current, and thus to move away from Plato (Ideology). Lastly, we shall return to the early Ionian thinkers Thales and Anaximander to analyse whether this really was the vision of the world that Aristotle adopted in developing the first model of time (Science). In the second volume we shall see the return of the thought of the theologoi within the Aristotelian corpus itself, and will question our distinction between the being and existence of time. Régis Laurent is a philosopher and member of the association Kairos Kai logos (Centre for the study of ancient philosophy). This book is the first part of his doctoral thesis in philosophy, undertaken under the aegis of three French universities (Grenoble, Clermont-Ferrand and Rennes). In addition to his philosophical training, the author is also qualified to Masters level in linguistics and in general psychology, and studied theology at the Thomist University in Paris (ULSH) and at the CEJ of the EHESS. (shrink)

SUMMARY. The works of Alexander of Aphrodisias were written a few decades after the publication of the most successful -astrology hand- book in antiquity, Ptolemy's Tetrabiblos Syntaxis, which attempts to naturalize astrology, i.e. to make it agree with Aristotelian theory of science. A comparison of the doctrines between the Tetrabiblos and some passages of Alexander'p works on fate demostrates a noteworthy con¬vergere of the two scholars, and probably a dependence of the lasi great greek Aristotle's exegete on the (...) theories of Ptolemaic astrology, at least in reference to three points: theory of fate; justification of de- vining as a technical and naturai conjecture about man's fate; ana¬lysis of the stars' influence on the sublunary world in physical and phi¬losophical terms. (shrink)

What is so special and mysterious about the Continuum, this ancient, always topical, and alongside the concept of integers, most intuitively transparent and omnipresent conceptual and formal medium for mathematical constructions and the battle field of mathematical inquiries ? And why it resists the century long siege by best mathematical minds of all times committed to penetrate once and for all its set-theoretical enigma ? -/- The double-edged purpose of the present study is to save from the transfinite deadlock of (...) higher set theory the jewel of mathematical Continuum -- this genuine, even if mostly forgotten today raison d'etre of all set-theoretical enterprises to Infinity and beyond, from Georg Cantor to W. Hugh Woodin to Buzz Lightyear, by simultaneously exhibiting the limits and pitfalls of all old and new reductionist foundational approaches to mathematical truth: be it Cantor's or post-Cantorian Idealism, Brouwer's or post-Brouwerian Constructivism, Hilbert's or post-Hilbertian Formalism, Goedel's or post-Goedelian Platonism. -/- In the spirit of Zeno's paradoxes, but with the enormous historical advantage of hindsight, we claim that Cantor's set-theoretical methodology, powerful and reach in proof-theoretic and similar applications as it might be, is inherently limited by its epistemological framework of transfinite local causality, and neither can be held accountable for the properties of the Continuum already acquired through geometrical, analytical, and arithmetical studies, nor can it be used for an adequate, conceptually sensible, operationally workable, and axiomatically sustainable re-creation of the Continuum. -/- From a strictly mathematical point of view, this intrinsic limitation of the constative and explicative power of higher set theory finds its explanation in the identified in this study ultimate phenomenological obstacle to Cantor's transfinite construction, similar to topological obstacles in homotopy theory and theoretical physics: the entanglement capacity of the mathematical Continuum. (shrink)

Aristotle (384-322 BC) was an ancient Greek philosopher, pupil of Plato, and tutor of Alexander the Great. His works span the topics of biology, metaphysics, mind, logic, language, science, epistemology, ethics, and politics. Aristotle held that there are many divine beings, but a supremely divine being is the first cause of the universe and the goodness of all other beings. This divine being plays a fundamental explanatory role in Aristotle’s thought.

It gives me great pleasure and honor to introduce myself as the incoming Editor-in-Chief of Polis: The Journal for Ancient Greek and Roman Political Thought. For the last decade I have served as an Associate Editor and the Book Review Editor of the journal. I am very excited about charting new paths for the journal, while continuing to publish first-rate scholarship in our area strengths. Although ‘polis’ is a Greek word that identifies a specific Greek historical political institution, in (...) many important ways the culture of Greek political thought interacted with the political culture of Regal, Republican, and Imperial Rome through Greek settlements in the Western Mediterranean, Roman military conquest, and cultural Hellenization. In the last year the editorial staff of Polis decided to expand the domain of our journal to include scholarship on Roman political thought and Greek-language political thought from the Hellenistic and Roman Imperial periods. Although Polis has been publishing reviews of books devoted to these new domains for several issues, it is quite gratifying to publish an entire special issue, edited by Grant Nelsestuen and Associate Editor Daniel Kapust, devoted to Roman political thought. Additional articles on Roman political thought are in the journal’s publication queue and we look forward to becoming an important venue for the publication of original scholarship and book reviews on Roman political thought and its subsequent reception, along with our original remit for Greek political thought and its reception. The editorial staff of Polis has undergone a number of changes in conjunction with my new role. First and foremost, my mentor and predecessor Kyriakos Demetriou has retired from the position of Editor-in-Chief and become a member of our Editorial Board. I have had the privilege of working with Kyriakos for over 15 years, during which time he transformed the newsletter of the Society for Ancient Greek Political Thought into a pre-eminent peer-reviewed academic journal. I may only hope 15 years from now, that Polis has continued to grow as a source for landmark scholarship on Greek and Roman political thought. During the editorial transition, Associate Editors Rosanna Lauriola and Essam Safty have left our editorial staff. We are grateful for their service to the journal and wish them well in their scholarly endeavors. Finally, I am pleased to announce several additions to our editorial staff. Dimitri El Murr, Professor of Ancient Philosophy at the Ecole Normale Supérieure (Université Paris Sciences et Lettres), has joined the journal as an Associate Editor responsible for the refereeing and editing of Francophone submissions to Polis. Demetra Kasimis, Assistant Professor of Political Science at the University of Chicago, has joined as an Associate Editor responsible for the refereeing of submissions on the political aspects of Greek literature (such as epic, tragedy, and comedy). Matthew Simonton, Associate Professor of History at Arizona State University, has joined the journal as an Associate Editor and Book Review Editor. Finally, Dr. Alexandra Wilding has joined our editorial staff as the journal’s copy-editor. Learn from and enjoy the scholarship of our current issue. Submit to Polis your scholarship on ancient Greek and Roman political thought. Be a part of the future of Polis. Thornton Lockwood Editor-in-Chief. (shrink)

Daco-Roman Christianity – Particularities and theological perspectives The emergence of the historical-theological heritage of Daco-Roman Christianity is mostly related to the North- Danubian territories, namely the ancient imperial province of Scythia Minor (or Lesser Scythia). Identified with present Dobruja, on the left or western side of the Pontus Euxinus, this space of cultural-religious interference has become over time “of a great ecumenical interest.” The historical journey favoured a rapid development of the Christian element, and the region knew from (...) early ages a thorough church organization, reinforced by Diocletian and Licinius’ fierce persecutions. It is also known the fact that “the Daco-Roman Christians, the ancestors of the Romanians from nowadays, setting up the first Orthodox Metropolitan of the Romanian Church around the year 500, have unquestionably bestowed upon it their ecumenical evangelical and patristic attitude; by spreading and flourishing the Body of Christ in a province, it got integrated into the great ecumenical area of the undivided Church in the first millennium.”62 The theological work of the Daco-Roman saints and fathers on the territory of the Roman Empire thus, generated an “ecumenical environment and background”, enriched by influences, ideas, and confessional intercessions. In this respect, we should mention “the correspondence between Saint Basil (Letters 155, 164 and 165) and the illustrious governor of Scythia, Iunius Soranus as well as with Bishop Bretanion of Tomis concerning the sending of Saint Sava’s remains from Gothia to Cappadocia”63, as well as other relations, interactions and influences. There are, therefore, several great Daco-Roman theologians, who succeeded in becoming famous even in the Eternal City. Their activity and writings which remained as a testimony in the Church treasury were taken into account by the highest church authorities of those times, their written theological, missionary and apologetical importance being recognized up to the present days. Starting from this point, we could speak about a true theological heritage preserved over the centuries, playing a huge essential role in building up a genuine spiritual and cultural tradition of the Romanian people. (shrink)

Daco-Roman Christianity – Particularities and theological perspectives The emergence of the historical-theological heritage of Daco-Roman Christianity is mostly related to the North- Danubian territories, namely the ancient imperial province of Scythia Minor (or Lesser Scythia). Identified with present Dobruja, on the left or western side of the Pontus Euxinus, this space of cultural-religious interference has become over time “of a great ecumenical interest.” The historical journey favoured a rapid development of the Christian element, and the region knew from (...) early ages a thorough church organization, reinforced by Diocletian and Licinius’ fierce persecutions. It is also known the fact that “the Daco-Roman Christians, the ancestors of the Romanians from nowadays, setting up the first Orthodox Metropolitan of the Romanian Church around the year 500, have unquestionably bestowed upon it their ecumenical evangelical and patristic attitude; by spreading and flourishing the Body of Christ in a province, it got integrated into the great ecumenical area of the undivided Church in the first millennium.”62 The theological work of the Daco-Roman saints and fathers on the territory of the Roman Empire thus, generated an “ecumenical environment and background”, enriched by influences, ideas, and confessional intercessions. In this respect, we should mention “the correspondence between Saint Basil (Letters 155, 164 and 165) and the illustrious governor of Scythia, Iunius Soranus as well as with Bishop Bretanion of Tomis concerning the sending of Saint Sava’s remains from Gothia to Cappadocia”63, as well as other relations, interactions and influences. There are, therefore, several great Daco-Roman theologians, who succeeded in becoming famous even in the Eternal City. Their activity and writings which remained as a testimony in the Church treasury were taken into account by the highest church authorities of those times, their written theological, missionary and apologetical importance being recognized up to the present days. Starting from this point, we could speak about a true theological heritage preserved over the centuries, playing a huge essential role in building up a genuine spiritual and cultural tradition of the Romanian people. (shrink)

A variation of Fitch’s paradox is given, where no special rules of inference are assumed, only axioms. These axioms follow from the familiar assumptions which involve rules of inference. We show (by constructing a model) that by allowing that possibly the knower doesn’t know his own soundness (while still requiring he be sound), Fitch’s paradox is avoided. Provided one is willing to admit that sound knowers may be ignorant of their own soundness, this might offer a way out of the (...) paradox. (shrink)

I contend that Adam Smith and David Hume offer re-interpretations of Aristotle’s notion of greatness of soul, focusing on the kind of magnanimity Aristotle attributes to Socrates. Someone with Socratic magnanimity is worthy of honor, responds moderately to fortune, and is virtuous—just and benevolent. Recent theorists err in claiming that magnanimity is less important to Hume’s account of human excellence than benevolence. In fact, benevolence is a necessary ingredient for the best sort of greatness. Smith’s “Letter to Strahan” attributes this (...) greatness to Hume. It encourages us to admire Hume as an exemplar of human excellence, to seek Hume’s virtues for ourselves, and to approve of the “love of literary fame” which Hume calls his “ruling passion.”. (shrink)

. In our research about Fuzzy Time and modeling time, "Unexpected Hanging Paradox" plays a major role. Here, we compare this paradox to the Zeno Paradox and the relations of them with our standard models of continuum and Fuzzy numbers. To do this, we review the project "Fuzzy Time and Possible Impacts of It on Science" and introduce a new way in order to approach the solutions for these paradoxes. Additionally, we have a more general discussion about paradoxes, as Philosophical (...) back ground of the subject and in this way, we introduce the concepts of General View, the first picture, BBF-General View. -/- . (shrink)

The paper is devoted to Aristotle's solution to Meno's paradox: a person cannot search for what he knows -- he knows it, and there is no need to search for such a thing -- nor for what he doesn't know -- since he doesn't know what he's searching for. The autor argues that Aristotle proposes solutions of this paradox for every stage of cognition, not only for exercising available scientific knowledge as regarded by most Aristotelian scholars. He puts more focus (...) on the importance of the distinction between 'progignoskein' (pre-existing cognition) and 'proepistasthai' (pre-existong knowledge) for Aristotle's solution of this paradox. [In Russian]. (shrink)

In our research about Fuzzy Time and modeling time, "Unexpected Hanging Paradox" plays a major role. Here, we compare this paradox to the Zeno Paradox and the relations of them with our standard models of continuum and Fuzzy numbers. To do this, we review the project "Fuzzy Time and Possible Impacts of It on Science" and introduce a new way in order to approach the solutions for these paradoxes. Additionally, we have a more general discussion about paradoxes, as Philosophical back (...) ground of the subject and in this way, we introduce the concepts of General View, the first picture, BBF-General View. (shrink)

The differences between the theories of hearing held by Aristotle and by Alexander of Aphrodisias are explored. Alexander appears to have a more systematic approach which avoids the dilemma faced by Aristotle in deciding whether the hearing process constitutes a time-taking kinesis or an instantaneous energeia.

I examine the reasons Aristotle presents in Physics VIII 8 for denying a crucial assumption of Zeno’s dichotomy paradox: that every motion is composed of sub-motions. Aristotle claims that a unified motion is divisible into motions only in potentiality (δυνάμει). If it were actually divided at some point, the mobile would need to have arrived at and then have departed from this point, and that would require some interval of rest. Commentators have generally found Aristotle’s reasoning unconvincing. Against David Bostock (...) and Richard Sorabji, inter alia, I argue that Aristotle offers a plausible and internally consistent response to Zeno. I defend Aristotle’s reasoning by using his discussion of what to say about the mobile at boundary instants, transitions between change and rest. There Aristotle articulates what I call the Changes are Open, Rests are Closed Rule: what is true of something at a boundary instant is what is true of it over the time of its rest. By contrast, predications true of something over its period of change are not true of the thing at either of the boundary instants of that change. I argue that this rule issues from Aristotle’s general understanding of change, as laid out in Phys. III. It also fits well with Phys. VI, where Aristotle maintains that there is a first boundary instant included in the time of rest, but not a “first in which the mobile began to change.” I then show how this rule underlies Aristotle’s argument that a continuous motion cannot be composed of actual sub-motions. Aristotle distinguishes potential middles, points passed through en route to a terminus, from actual middles. The Changes are Open, Rests are Closed Rule only applies to actual middles, because only they are boundaries of change that the mobile must arrive at and then depart from. On my reading, Aristotle argues that the instant of arrival, the first instant at which the mobile has come to be at the actual middle, cannot belong to the time of the subsequent motion. If it did, the mobile would already be moving towards the next terminus and thus, per Phys. VI 6, would have already left. But it cannot have moved away from the midpoint at the very same moment it has arrived there. This means that the instant of arrival must be separated from the time of departure by an interval of rest. I show how Aristotle’s reasoning applies generally to rule out any continuous reflexive motion or continuous complex rectilinear motion. On my interpretation, however, the argument does not apply to every change of direction. When, as in the case of projectile motion, multiple movers and their relative powers explain why the mobile changes directions, distinct sub-motions are not involved. Aristotle holds that such motions cannot be continuous, not because they involve intervals of rest, but because they involve multiple causes of motion. My interpretation of the Changes are Open, Rests are Closed Rule allows us to make better sense of Aristotle’s argument than any previous interpretation. (shrink)

This is the first complete English translation and publication of Donoso’s carta de 24 de octubre, 1851, a letter encapsulating many of his views on revolution and decision. This remarkable letter, sent as a diplomatic missive while he was serving the Spanish crown in Paris, describes how Napoleon III––stuck between the 1848 constitution’s prohibition against his election and his impending coup that will crown him emperor––must gain the support of the liberal bourgeoise middle class if he is to maintain his (...) rule over France. The letter is also of great importance to Donoso and Schmitt scholars because it contains the first and only time Donoso uses the complete term “las clases discutidoras,” which, through Schmitt’s injudicious and repeated misspellings as “una clasa discutidora” has become famous for its characterization of the liberal bourgeoisie as the “discussing” or “disputing” class that is incapable of action at the precise historical moment when a decision is most direly needed to save the constitution from inner or outer existential threats. (shrink)

ABSTRACT: Alexander of Aphrodisias’ commentaries on Aristotle’s Organon are valuable sources for both Stoic and early Peripatetic logic, and have often been used as such – in particular for early Peripatetic hypothetical syllogistic and Stoic propositional logic. By contrast, this paper explores the role Alexander himself played in the development and transmission of those theories. There are three areas in particular where he seems to have made a difference: First, he drew a connection between certain passages from Aristotle’s (...) Topics and Prior Analytics and the Stoic indemonstrable arguments, and, based on this connection, appropriated at least four kinds of Stoic indemonstrables as Aristotelian. Second, he developed and made use of a specifically Peripatetic terminology in which to describe and discuss those arguments – which facilitated the integration of the indemonstrables into Peripatetic logic. Third, he made some progress towards a solution to the problem of what place and interpretation the Stoic third indemonstrables should be given in a Peripatetic and Platonist setting. Overall, the picture emerges that Alexander persistently (if not always consistently) presented passages from Aristotle’s logical œuvre in a light that makes it appear as if Aristotle was in the possession of a Peripatetic correlate to the Stoic theory of indemonstrables. (shrink)

During the past few decades, a radical shift has occurred in how philosophers conceive of the relation between science and philosophy. A great number of analytic philosophers have adopted what is commonly called a ‘naturalistic’ approach, arguing that their inquiries ought to be in some sense continuous with science. Where early analytic philosophers often relied on a sharp distinction between science and philosophy—the former an empirical discipline concerned with fact, the latter an a priori discipline concerned with meaning—philosophers today largely (...) follow Willard Van Orman Quine (1908-2000) in his seminal rejection of this distinction. -/- This book offers a comprehensive study of Quine’s naturalism. Building on Quine’s published corpus as well as thousands of unpublished letters, notes, lectures, papers, proposals, and annotations from the Quine archives, this book aims to reconstruct both the nature (chapters 2-4) and the development (chapter 5-7) of his naturalism. As such, this book aims to contribute to the rapidly developing historiography of analytic philosophy, and to provide a better, historically informed, understanding of what is philosophically at stake in the contemporary naturalistic turn. (shrink)

It is commonly assumed that Aristotle denies any real existence to infinity. Nothing is actually infinite. If, in order to resolve Zeno’s paradoxes, Aristotle must talk of infinity, it is only in the sense of a potentiality that can never be actualized. Aristotle’s solution has been both praised for its subtlety and blamed for entailing a limitation of mathematic. His understanding of the infinite as simply indefinite (the “bad infinite” that fails to reach its accomplishment), his conception of the cosmos (...) and even its prime mover as finite (in the sense of autarchic/self-contained) have been contrasted with the subsequent claim of God as ens infinitum (understood as a “positive” infinity). The goal of this essay is to reexamine the major texts (notably De caelo) and to demonstrate that (1) Aristotle’s claim according to which there is no actual infinite concerns only substances, not processes. (2) That Aristotle does not deny an actual infinite as such. (3) That when considering time and God (qua eternal) Aristotle acknowledges an actual infinite. (shrink)

Anscombe’s published writings, lectures and notes on sensation point toward a sophisticated critique of sense-data, representationalist and direct realist theories of perception (in both their historical and contemporary forms), and a novel analysis of the concept of sensation. Her philosophy of perception begins with the traditional question, ‘What are the objects of sensation?’, but the response is a grammatical rather than ontological enquiry. What, she asks, are the characteristics of the grammatical object of sensation verbs? Anscombe’s answer is: sensation (...) verbs take ‘intentional objects’, where an ‘intentional object’ is a description which has the characteristics of the concept of intention—characteristics elucidated in great detail in her Intention. This simple manoeuvre allows Anscombe to reject two opposing positions in the philosophy of perception - that the objects of sensation are sense-data and that the objects of sensation are tables and chairs (etc). Both views, she argues, fail to recognise the grammatical fact that the verbs of sensation take intentional objects. This chapter outlines the case for a grammatical methodology in philosophy of perception, by framing an analysis of the ways in which the sense-data and direct-realist theories of perception arise out of the theoretical demands that are generated when the grammar of the concept of sensation is left unexplored. Along the way, it will be shown that Anscombe’s philosophy of perception should not be read as fore-running contemporary representationalism, and that reading it as such in fact runs counter not only to the letter but the spirit of Ancombe’s proposal. (shrink)

“Witty, acerbic, and brilliant. Halton takes on truly basic philosophical issues, but unlike the great majority of cultural critics today, he is philosophically prepared and highly competent to do so. Halton’s extraordinary work is nearly unique among current writers in its relevance, incisiveness, and philosophical power.” (Bruce Wilshire, Rutgers University) “The Great Brain Suck is a wholly original book that draws on Eugene Halton’s careful empirical and conceptual work to offer critical insights into American life and scholarship. As he details (...) the ways that the American citizen has given way to the American consumer—the ways we have been fooled by the commodity magicians of commerce—Halton provides new, sound, and fascinating perspectives on both contemporary and historic American themes.” (Russell Belk, York University). (shrink)

Historically, Nelson Goodman’s paradox involving the predicates ‘grue’ and ‘bleen’ has been taken to furnish a serious blow to Carl Hempel’s theory of confirmation in particular and to purely formal theories of confirmation in general. In this paper, I argue that Goodman’s paradox is no more serious of a threat to Hempel’s theory of confirmation than is Hempel’s own paradox of the ravens. I proceed by developing a suggestion from R. D. Rosenkrantz into an argument for the conclusion that these (...) paradoxes are, in fact, equivalent. My argument, if successful, is of both historical and philosophical interest. Goodman himself maintained that Hempel’s theory of confirmation was capable of handling the paradox of the ravens. And Hempel eventually conceded that Goodman’s paradox showed that there could be no adequate, purely syntactical theory of confirmation. The conclusion of my argument entails, by contrast, that Hempel’s theory of confirmation is incapable of handling Goodman’s paradox if and only if it is incapable of handling the paradox of the ravens. It also entails that for any adequate solution to one of these paradoxes, there is a corresponding and equally adequate solution to the other. (shrink)

In one of his key texts, the Mūlamadhyamakakārikā, Nāgārjuna famously sets out to refute the ontology of essence.1 He presents numerous arguments to show that things don’t exist essentially—that is, that things are empty of essence or inherent existence. The doctrine of emptiness has been variously understood by traditional and contemporary commentators. Most radical is the recent interpretation presented by Garfield and Priest. They have rationally reconstructed Nāgārjuna’s doctrine of emptiness as an endorsement of the contradictory nature of reality. According (...) to them, Nāgārjuna can be seen to be arguing that the way in which things exist in reality and what we can truly say about them must be... (shrink)

‘...if you learn to think like Peter Cave – with freshness, humour, objectivity and penetration – you will have been amply rewarded.’ :::: Prof. Felipe Fernandez-Armesto, University of Notre Dame __________________ Chapter Titles:>>> ___ 1 Lao Tzu: The Way to Tao >>> 2 Sappho: Lover >>> 3 Zeno of Elea: Tortoise Backer, Parmenidean Helper >>> 4 Gadfly: aka ‘Socrates’ >>> 5 Plato: Charioteer, Magnificent Footnote Inspirer – ‘Nobody Does It Better’ >>> 6 Aristotle: Earth-Bound, Walking >>> 7 Epicurus: Gardener, Curing (...) the Soul, Ably Assisted by Lucretius >>> 8 Avicenna: Flying Man, Unifier >>> 9 Descartes: With Princess, With Queen >>> 10 Spinoza: God-Intoxicated Atheist >>> 11 Leibniz: Monad Man >>> 12 Bishop Berkeley, ‘That Paradoxical Irishman’: Immaterialist, Tar-Water Advocate >>> 13 David Hume: The Great Infidel or Le Bon David >>> 14 Kant: Duty Calls, Categorically >>> 15 Schopenhauer: Pessimism With Flute >>> 16 John Stuart Mill: Utility Man, With Harriet, Soul-Mate >>> 17 Søren Kierkegaard: Who? >>> 18 Karl Marx: Hegelian, Freedom-Fighter >>> 19 Lewis Carroll: Curiouser and Curiouser >>> 20 Nietzsche: God-Slaying Jester, Trans-Valuer >>>> 21 Bertrand Russell: Radical, Aristocrat >>> 22 G. E. Moore: Common-Sense Defender, Bloomsbury’s Sage >>> 23 Heidegger: Hyphenater >>> 24 Jean-Paul Sartre: Existentialist, Novelist, French >>> 25 Simone Weil: Refuser and Would-Be Rescuer >>> 26 Simone de Beauvoir: Situated, Protester, Feminist >>> 27 Ludwig Wittgenstein: Therapist >>> 28 Hannah Arendt: Controversialist, Journalist? >>> 29 Iris Murdoch: Attender >>> 30 Samuel Beckett: Not I >>>. (shrink)

The paradox of hedonism is the idea that making pleasure the only thing that we desire for its own sake can be self-defeating. Why would this be true? In this paper, I survey two prominent explanations, then develop a third possible explanation, inspired by Joseph Butler's classic discussion of the paradox. The existing accounts claim that the paradox arises because we are systematically incompetent at predicting what will make us happy, or because the greatest pleasures for human beings are found (...) in certain special goods which hedonists cannot enjoy. On the account that I develop, the paradox is a consequence of a theory about the nature of pleasure, together with a view about the requirements of rational belief. Which of these explanations is correct, I argue, bears on central questions about how to understand the nature and extent of the paradox. (shrink)

The first English translation of the commentary of Alexander of Aphrodisias on Aristotle's De Sensu.With notes.

If we compare it with the fellow notion of liberty, equality has an ambivalent place in modern political thinking. Whilst it counts as one of the fundamental norms, many think that equality is valuable only as a way to realise some features of liberty. I take a historical perspective on this issue, and try to identify some of the pre-modern roots of such an ambivalent attitude towards equality. I do this by using Jacques Rancière’s political model as an analytical (...) framework and by taking a visual route, focusing on classical iconographic representations in which equality was present in the images’ subtexts. Ambrogio Lorenzetti’s allegory of good government is one iconic exposition of equality as a positive condition of civil peace. Already there, however, the positive value of equality is counterposed to the figure of violent retributive justice. Similarly, in the Christian narrative, equality is endorsed as the original condition of creatures under God, but is also associated with violent death. This signals one pre-modern root behind the ambivalence towards equality, particularly when the latter is understood dynamically, as levelling. Such a reversal of value finds an apotheosis, I suggest, in the revolutionary icon of the guillotine, a dramatic representation of equalisation that had a strong influence on modern political thinking. In J. E. Millais’ first painting, of Jesus in the House of his Parents, I find a more positive legacy of Christian equality in modern political thinking. (shrink)

The so-called `no-thesis' view is without a doubt one of the most immediately puzzling philosophical features of Nāgārjuna's thought and also largely responsible for ascribing to him either sceptical or mystical leanings (or indeed both). The locus classicus for this view is found in verse 29 of the Vigrahavyāvartanī: “If I had some thesis the defect [just mentioned] would as a consequence attach to me. But I have no thesis, so this defect is not applicable to me.” That this absence (...) of a thesis is to be regarded as a positive feature is stressed in a passage from the Yuktiṣaṣṭikā, where Nāgārjuna remarks about the Buddhas: “For these great beings there is no position, no dispute. How could there be another's [opposing] position for those who have no position?” Now it is important to observe that when considered in isolation it is very hard to make any coherent sense of these passages. For even if we assume that the Buddhas do not hold any philosophical position anymore (having perhaps passed beyond all conceptual thinking), how are we to make sense of the first quotation which, in the middle of a work full of philosophical theses claims that there is no such thesis asserted at all? (shrink)

Fitch's Paradox and the Paradox of the Knower both make use of the Factivity Principle. The latter also makes use of a second principle, namely the Knowledge-of-Factivity Principle. Both the principle of factivity and the knowledge thereof have been the subject of various discussions, often in conjunction with a third principle known as Closure. In this paper, we examine the well-known Surprise Examination paradox considering both the principles on which this paradox rests and some formal characterisations of the surprise notion, (...) crucial in this paradox. Standard formalizations of the Surprise Examination paradox in modal logic do not seem, at first glance, to depend on either factivity or knowledge-of-factivity, but we will argue that both factivity and knowledge-of-factivity play a key implicit role in the paradox. Namely, they are implicitly, perhaps unintentionally, used in order to simplify the definition of surprise. We analyze modal logical formalizations of three versions of the paradox concluding that the Surprise Examination paradox is the result of two flaws: the assumption of knowledge-of-factivity, and the over-simplification of the definition of "surprise" accordingly. By fixing these two flaws, the Surprise Examination paradox vanishes. (shrink)

In these pages, we expose the main traits of St. Albert the Great’s doctrine of providence and fate, considered by Palazzo the keystone of his philosophical system. To describe it we examine his systematic works, primarily his Summa of Theology. His discussion follows clearly the guidelines of the Summa of Alexander of Hales, in order to delve into the set of problems faced over the centuries by theological tradition. Albert also restates the reflections of different authors like Boethius or (...) Saint John of Damascus but, in his Summa he incorporates to his reflections also the noteworthy book of Nemesius of Emesa, De natura hominis, which includes some pages on providence. Albert gives his personal solution to the complex questions of providence, destiny and contingency of the world. His conception of providence is developed in the frame of the creative power of the almighty God. God’s knowledge is necessary and inerrant and his providential purposes are infallible, but that does not mean that every event is necessary. He does not communicate His own proprieties to the creatures. In order to understand this problem, Albert recalls the notion of hypothetical necessity coined by Boethius in an Aristotelian framework and the difference between 'necessitas consequentis' and 'necessitas consequentiae' proposed by Alexander of Hales. He also develops his account of providence, closely linked to the topic of fate. However, it would be exaggerated to deem his position deterministic. (shrink)

The revised and polished version of Inwood’s 2011 Carl Newell Jackson at Harvard University, Ethics after Aristotle surveys the ethical teachings of the original “neo-Aristotelians,” namely those self-identified (although not always named) members of the Peripatetic school from the time of Theophrastus (fl. 300 BCE) until that of Alexander of Aphrodisias (fl. 200 CE). An initial chapter surveys the sorts of problems in Aristotle’s ethical corpus which would generate subsequent debate amongst members of the Peripatetic school. Chapter Two examines (...) the views of “Magnus,” the name which Inwood gives to the anonymous 3rd century author of the Magna Moralia (which Inwood takes to be pseudo-Aristotle), and those of Strato of Lampsacus, Lycon, and Hieronymus, 3rd century heads of the Peripatetic school, all of whom show the influences of Epicureanism in their re-articulations of Aristotelian positions. Chapter Three, entitled “The Turning Point,” finds in the work of Critolaus—head of the Peripatetic school in the middle of the 2nd century BCE—a move away from the centrality of activity within Aristotelian ethical thought, which Critolaus instead replaces with the notion of possessing specific goods, namely those of the body, the soul, and what is external. The same chapter argues that at approximately the same historical point Cicero, in the character of Piso in De finibus, articulated an account of Peripatetic ethics that was far more faithful to 4th century Aristotelianism. The final two chapters focus on neo-Aristotelian ethical philosophizing within a new and explicitly Roman cultural setting. (shrink)

Reading Kripke's "Wittgenstein on Rules and Private Language", at first one can easily get confused about his claim that the problem discovered was a sort of ontological skepticism. Contrary to the opinion of a great number of contemporary philosophers who hold that rule-following brings up merely epistemological problems I will argue that the scepticism presented by Kripke really is ontological because it is concerned with the exclusion of certain facts. The first section in this paper is dedicated to a presentation (...) of Kripke's paradox with a clarification of the position of "plus/quus-talk" in the argument. Section two is engaged in one of his classical direct solutions: the dispositional theory which will serve as a preparation for the last section. Section three is concerned with Kripke's solution to the skeptical problem, ending with the question of whether he is giving a real solution. In section four, I will try to give an answer to those questions, distinguishing between two different versions of the problem given by the paradox; a wrong one and a correct one. Readers who are really fed up with the sceptical problem and its sceptical solution can skip section one, two and three, concentrating instead on my own argument for the real nature of the problem. In section five, I will pick up on some ideas from Norwich, who tries to give a "straight solution" to the paradox reanimating some weaker version of a dispositional theory of meaning. I will argue that Horwich's solution is misleading because he aims at the wrong version of the paradox. (shrink)

In a recent paper, Alexander argues that relaxing the requirement that sound knowers know their own soundness might provide a solution to Fitch’s paradox and introduces a suitable axiomatic system where the paradox is avoided. In this paper an analysis of this solution is proposed according to which the effective move for solving the paradox depends on the axiomatic treatment of the ontic modality rather than the limitations imposed on the epistemic one. It is then shown that, once the (...) ontic modality is standardly introduced, the paradox still follows and, in addition, some puzzling consequences arise. (shrink)

After the WHS inscription of the Historic Centre of Macau in 2005, the relationship between citizens of Macau and their heritage is not distanced. Most of these monuments remain functional for religious and social purposes and are actively engaged in public commercial activities such as the annual Macau Light Festival. Several historic houses have been transformed into either a permanent library or a museum where people can experience various events. With such frequent interaction, these monuments are more than just heritage (...) to locals; they are the venues where people’s daily lives are attached. However, this familiarity will cause a paradox in preservation since losing the distance might mean being unable to deliver the message of protection. It would be difficult to find a balance between preservation and reuse of heritage. This paper will use the Historic Centre of Macau as a case study to discuss the types of adaptive reuse in Macau and propose potential risks of these approaches. (shrink)

This article presents a newly discovered votive inscription found during the course of the 2013 survey conducted at the ancient city of Phaselis and in its territory. The inscription was found where the stairs to the acropolis from the southwest of the theatre end, in front of the west wall of the tower structure give access to the acropolis. This inscription in the Doric dialect, on a limestone block measuring 0.315 x 0.77 x 0.61 m., records a dedication to Athena (...) Polias. The letters 0.03 m. high, exhibit Late Archaic - Early Classical Period features ( - - - - ) and, consequently the inscription can be dated to the Vth century B.C. -/- Phaselis and its Chief Goddess Athena Polias From the earliest times of Athena worship, especially in the Aegean Islands and Hellas, this goddess was the protectress of cities, institutions and mythological heroes and she manifested this function in various ways. In one of the earliest recorded examples she carries the epithet ἐρυσίπτολις (guardian of the cities), and in another example, in a Linear B inscription discovered in the Palace of Knossos on Crete as Atana Potnia (a-ta-na-po-ti-ni-ja), the mistress of the palace. But perhaps the most striking myth relating to this role of Athena is undoubtedly that of the Palladion statue, the reason for the fall of Troy and for defeat in the Trojan War. In this context, Troy could resist the Achaeans for as long as it was protected by the Palladion, but after it was stolen by Odysseus and Diomedes, the city was captured by the Achaeans. Subsequently, Athens, Argos and Sparta, the most powerful Greek cities, as later the city of Rome, in order to obtain Athena’s protection and so to gain legitimization for the expansion of their empires, invented their own myths claiming that the Palladion statue from Troy was brought to their cities. In another myth the Goddess became the protectress of Tegea through giving Medusa’s hair as a protective image to a hero of the city. Athena’s frequently used epithets, Polias (Πολιάς), Poliouchos (Πολιοῦχος), and the epithet the protectress of the Athenians (Ἀθηνᾶ Ἀθηνῶν μεδέουσα), employed as a means of religious propaganda by the city of Athens when it established the Delian League which subsequently evolved into an empire, clearly indicate Athena was regarded as guardian of the cities. Particularly during the Archaic and Classical Periods, it was this aspect of Athena that, politically placed the Goddess amongst the most important of deities with Zeus and Apollo, and she is most commonly found with the epithet Polias. The epithet Polias or similar, refers in particular to the heart of these cities, to their acropoleis, where Athena Polias was usually worshipped. Her temples located on the heights of the cities made her role particularly visible as the main protecting goddess. One of the best examples of this “visibility”concerns the earliest record of the epithet Polias as, although she wasn’t the chief deity of Argos, within the sanctuary of Athena Polias located on Larisa hill an inscription was found which supplies us with the text of a cult regulation which is datable to the VIth century. B.C.. The Anatolian goddess of Malija, equal to Athena (in Lycia), was attested in Hittite texts from IInd millennium B.C.. This goddess worshipped in Lycia, close to the city of Phaselis, is similarly in a relationship with cities and acropoleis. The Inscribed Pillar of Ksanthos dating from the Vth century B.C. records that many acropoleis were seized with the help of Athena ptoliporthos (πτολίπορθος) “Sacker of Cities”. In the same inscription the city of Patara was named together with Malija and it may refer to the Patara of Malija as in the example of the Lindian Athena (Lindos, city of Athena). Moreover, the goddess Malija was named with the epithet Wedrẽñni (regional, municipal) the equivalent of the epithet Polias in Rhodiapolis. During the great colonization movements (750-550 B.C.) the colonists brought the cult of Athena Polias to many Mediterranean cities, as was the case for example for Lindos on the island of Rhodos. As a matter of fact the strongest ties between Lindos and the colonies which Rhodes founded was the cult of Athena. In consequence, these cities offered precious gifts to the Temple of Athena in Lindos as a demonstration of both their veneration of the goddess and of loyalty. According to myth, the city of Phaselis was colonized in 691/690 B.C. by a group under the leadership of Lakios from Lindos and the Athena cult of the mother city was brought to Phaselis. Thereafter the Phaselitai dedicated the helmets and sickles to Athena Lindia upon which was inscribed, “Having taken them from the Solymoi, the Phaselitai offered them to Athena Lindia, when Lakios was the leader of the colonists”. In addition to this, the other evidence concerning the presence of Athena in the city confirms that this deity was the chief goddess of Phaselis. During the Classical, and especially in the Hellenistic Period, depictions of Athena’s owl, of her Palladion and of Athena Promachos are found. As mentioned above, the epithet Polias usually draws attention to a city’s acropolis with the temple of Athena Polias located there. In the case of Phaselis, the find spot of these votive inscriptions, reused in a wall of a tower that was built in defense of the acropolis, provides an additional indication for the localization of Athena’s temple to the acropolis. This temple most probably was on the acropolis where there are the ruins of a columned building and large ashlar blocks possibly indicating the site of a temple; however, due to the dense vegetation and in the absence of excavations, at present this localisation cannot be stated with certainty. Another reference indicating that Athena Polias was the chief deity of the city was the presence of a holy relic in the Temple of Athena, the spear of the hero of the Trojan War Achilles. During his campaign against the Persians, Alexander the Great stayed in Phaselis in the winter of 334/333 B.C. and he left Achilles’ spear in the Temple of Athena at Phaselis. During the Hellenistic Period, Hellenistic Kings were mentioned with the chief deities of the Archaic and Classical periods as were the emperors in Roman Imperial Period. And according with this practice, the boule and demos of Phaselis worshipped Athena Polias together with the deified emperors, known from an honorific inscription for a certain Ptolemaios. Evidence from the Late Roman Period, especially from the IIIrd century A.D., records the Palladeios agons (ἀγὼν Παλλάδειος) were held in the city in honour of the Goddess Athena. Consequently, philological, epigraphic as well as numismatic evidence shows the Goddess Athena was the chief deity of the city of Phaselis from the Archaic Period into the Late Roman Period. As the epithet Polias on this votive inscription indicates, the goddess had a temple which should be located on the acropolis where the holy relic (Achilles’ spear) was kept and where the officials of the goddess conducted their functions. This new votive inscription provides record of the role Athena occupied in this early post-colonisation period of the city’s political and socio-cultural history. Further, it is also a physical document dating from the city’s Late Archaic-Early Classical Period, aiding in the evaluation of both Phaselis and of the wider region’s history of settlement. (shrink)

Since the time of Aristotle's students, interpreters have considered Prior Analytics to be a treatise about deductive reasoning, more generally, about methods of determining the validity and invalidity of premise-conclusion arguments. People studied Prior Analytics in order to learn more about deductive reasoning and to improve their own reasoning skills. These interpreters understood Aristotle to be focusing on two epistemic processes: first, the process of establishing knowledge that a conclusion follows necessarily from a set of premises (that is, on the (...) epistemic process of extracting information implicit in explicitly given information) and, second, the process of establishing knowledge that a conclusion does not follow. Despite the overwhelming tendency to interpret the syllogistic as formal epistemology, it was not until the early 1970s that it occurred to anyone to think that Aristotle may have developed a theory of deductive reasoning with a well worked-out system of deductions comparable in rigor and precision with systems such as propositional logic or equational logic familiar from mathematical logic. When modern logicians in the 1920s and 1930s first turned their attention to the problem of understanding Aristotle's contribution to logic in modern terms, they were guided both by the Frege-Russell conception of logic as formal ontology and at the same time by a desire to protect Aristotle from possible charges of psychologism. They thought they saw Aristotle applying the informal axiomatic method to formal ontology, not as making the first steps into formal epistemology. They did not notice Aristotle's description of deductive reasoning. Ironically, the formal axiomatic method (in which one explicitly presents not merely the substantive axioms but also the deductive processes used to derive theorems from the axioms) is incipient in Aristotle's presentation. Partly in opposition to the axiomatic, ontically-oriented approach to Aristotle's logic and partly as a result of attempting to increase the degree of fit between interpretation and text, logicians in the 1970s working independently came to remarkably similar conclusions to the effect that Aristotle indeed had produced the first system of formal deductions. They concluded that Aristotle had analyzed the process of deduction and that his achievement included a semantically complete system of natural deductions including both direct and indirect deductions. Where the interpretations of the 1920s and 1930s attribute to Aristotle a system of propositions organized deductively, the interpretations of the 1970s attribute to Aristotle a system of deductions, or extended deductive discourses, organized epistemically. The logicians of the 1920s and 1930s take Aristotle to be deducing laws of logic from axiomatic origins; the logicians of the 1970s take Aristotle to be describing the process of deduction and in particular to be describing deductions themselves, both those deductions that are proofs based on axiomatic premises and those deductions that, though deductively cogent, do not establish the truth of the conclusion but only that the conclusion is implied by the premise-set. Thus, two very different and opposed interpretations had emerged, interestingly both products of modern logicians equipped with the theoretical apparatus of mathematical logic. The issue at stake between these two interpretations is the historical question of Aristotle's place in the history of logic and of his orientation in philosophy of logic. This paper affirms Aristotle's place as the founder of logic taken as formal epistemology, including the study of deductive reasoning. A by-product of this study of Aristotle's accomplishments in logic is a clarification of a distinction implicit in discourses among logicians--that between logic as formal ontology and logic as formal epistemology. (shrink)

This paper intends to explain key differences between Aristotle’s understanding of the relationships between nous, epistêmê, and the art of syllogistic reasoning(both analytic and dialectical) and the corresponding modern conceptions of intuition, knowledge, and reason. By uncovering paradoxa that Aristotle’s understanding of syllogistic reasoning presents in relation to modern philosophical conceptions of logic and science, I highlight problems of a shift in modern philosophy—a shift that occurs most dramatically in the seventeenth century—toward a project of construction, a pervasive desire for (...) rational certainty, and a general insistence on the reducibility of the sciences. The major motivation of this analysis is my intention to show that modern attempts to reduce science/epistêmê to a single science/method of inquiry occlude dialectical and ethico-political dimensions of “reason” and, hence, also impoverish philosophy’s critical capacities. (shrink)