"The debate recorded in al-Ghazālī's Incoherence of the Philosophers, and Ibn Rushd's response in Incoherence of the Incoherence, is one of the most philosophically interesting events in the history of classical Islamic thought. Here, the cutting edge of Ghazālī's searching critique meets the depth of Ibn Rushd's philosophical insight in a clash over the innovative synthesis of Aristotelian and Neo-Platonic thought represented chiefly by Ibn Sīnā. This critical commentary closely analyses and evaluates the arguments deployed by all three parties in (...) the debate, wherein are raised questions about the origin of the universe and the reality of time, possibility, causality, and nature. Where opportunities arise, it actively engages in the discussion by suggesting alternative arguments and philosophical directions. It goes beyond the cliché construal of the Incoherence debate as simply a conflict between faith and reason, exposing it as a genuinely philosophical enterprise and a potential source of fresh perspectives on contemporary discussions in metaphysics and analytic theology"--. (shrink)

This volume announces a new era in the philosophy of God. Many of its contributions work to create stronger links between the philosophy of God, on the one hand, and mathematics or metamathematics, on the other hand. It is about not only the possibilities of applying mathematics or metamathematics to questions about God, but also the reverse question: Does the philosophy of God have anything to offer mathematics or metamathematics? The remaining contributions tackle stereotypes in the philosophy of religion. The (...) volume includes 35 contributions. It is divided into nine parts: 1. Who Created the Concept of God; 2. Omniscience, Omnipotence, Timelessness and Spacelessness of God; 3. God and Perfect Goodness, Perfect Beauty, Perfect Freedom; 4. God, Fundamentality and Creation of All Else; 5. Simplicity and Ineffability of God; 6. God, Necessity and Abstract Objects; 7. God, Infinity, and Pascal's Wager; 8. God and (Meta-)Mathematics; and 9. God and Mind. (shrink)

I present a discussion of some issues in the ontology of spacetime. After a characterisation of the controversies among relationists, substantivalists, eternalists, and presentists, I offer a new argument for rejecting presentism, the doctrine that only present objects exist. Then, I outline and defend a form of spacetime realism that I call event substantivalism. I propose an ontological theory for the emergence of spacetime from more basic entities. Finally, I argue that a relational theory of pre-geometric entities can give rise (...) to substantival spacetime in such a way that relationism and substantivalism are not necessarily opposed positions, but rather complementary. In an appendix I give axiomatic formulations of my ontological views. (shrink)

It is argued that standard music notation pictures Aristotle’s time (time, as Aristotle conceived of it) in a number of important respects, which concern its micro-structure. It is then argued that this allows us to see some features of Aristotle’s time more clearly. Most importantly, Aristotelian instants can be pictured by bar-lines. This allows us to see as how radically devoid of any content Aristotelian instants should be interpreted. Thus, attention to music notation may show why Aristotle was not a (...) presentist. (shrink)

Damascius’ discussion of the Platonic notions of the sudden (to exaiphnēs) and the now (to nun) occurs in the context of his Commentary on Plato’s Parmenides. His view is that the Platonic sudden should be identified not with the timeless essence of the individual human soul, as Proclus suggested, but with the cohesive element that holds the individual human soul together through the cycles of reincarnation. For Damascius, the human soul is so thoroughly intertwined with time, when it descends to (...) the realm of Becoming, that its very essence gets altered. Damascius also maintains that the Platonic now is not a dimensionless boundary or temporal limit but an indivisible stretch of extended time. For Damascius, time progresses by ‘leaps’, and those leaps, determined once for all by the Demiurgic Intellect, are the atomic nows. Behind the flowing atomic nows there lies a numerically identical non-flowing now that is their eternal origin and form. The paper addresses the issue of the relationship of the sudden as the cohesive element of the soul to the now as the cohesive element of time, in the context of Damascius’ views about timeless Being and ever-flowing Becoming. (shrink)

La propuesta inmaterialista de Berkeley, elaborada definitivamente en sus Principles (1710), tiene como antecedente remoto los postulados del capadocio Gregorio de Nisa, quien en algunas de sus obras desarrolló argumentos, en relación con la materia, muy semejantes a los que planteó Berkeley casi catorce siglos después. El presente escrito tiene por objetivo mostrar que las concepciones de ambos pensadores tienen elementos en común, lo que permite sostener que el filósofo de Cesarea es un antecede lejano del inmaterialismo berkeleyano. // Berkeley's (...) immaterialism has as a remote antecedent in the postulates of the Cappadocian Gregory of Nyssa, who in some of his works developed arguments, concerning the matter, very similar to those that Berkeley presented almost fourteen centuries later. This paper aims to show that both philosophical conceptions have elements in common, which allows us to assert that the Cappadocian father is a distant precedent of Berkeley's immaterialism. (shrink)

This paper argues that Paul Ricoeur’s hermeneutical philosophy attempts to reopen the question of human transcendence in contemporary terms. While his conception of language as self-transcending is deeply Husserlian, Ricoeur also responds to the analytical challenge when he deploys a basic distinction in Fregean logic in order to clarify Heidegger’s phenomenology of world. Ricoeur’s commitment to a transcendental view is evident in his conception of narrative, which enables him to emphasize the role of the performative in literary reading. The meaning (...) of the self in time provides Ricoeur with a discursive basis for distinguishing his own position from that of Kant and other philosophers in the transcendental tradition. (shrink)

The present piece focuses on the influence of Plotinus' understanding of time and eternity as articulated in Plotinus' third and fifth Enneads upon Mīr Dāmād's (d. 1631–2) conception of eternity, perpetuity, and time found in his Book of Blazing Brands (Kitab al‐Qabasāt). Although Mīr Dāmād's conception of eternity, perpetuity, and time resembles that of Plotinus' cosmology and ontology, he departs from Plotinus' hypostases in establishing strict parameters for each domain. Unlike Plotinus, Mīr Dāmād argues that the realm of eternity is (...) reserved for God alone, while the realm of Perpetuity contains the Platonic Forms. For Mīr Dāmād, the realm of time is an effect of the realm of Perpetuity and a tool for human beings to understand how to measure events in the temporal world. Unlike many other Shī'ite philosophers, Mīr Dāmād's articulation of these three cosmological realms incorporates thought found in the works of both prominent Sunni and Shī'ite scholars such as Ibn Sīnā, Abū Ḥāmid al‐Ghāzālī, Suhrawardī, and Naṣīr al‐Dīn Ṭūsī. Although his most successful student, Mullā Ṣadrā Shirazī, had ultimately disagreed with his teacher's cosmological doctrine, he remained influenced by the multitude of sources that his teacher had used. (shrink)

Philosophy, in the ancient Graeco-Roman world, and in various other cultures too, was typically thought of as, among other things, bearing on how to live. Questions of how to live may now be considered by some as merely one optional specialism among others, but Derek Parfit for one, we shall see, rightly treats implications for how to live as flowing naturally from metaphysical theories. In the hope of showing something about the ancient Graeco-Roman tradition as a whole, I shall speak (...) of things that I and others have said before,1 but I will highlight certain aspects of how the various groups or individuals related their philosophy to their lives. I shall start with the ancient Stoics as providing a clear case, then move on more briefly to their rivals, the Epicureans, and finally, more briefly again, to consider their predecessors and successors in other ancient schools and periods. This will not be a survey of the main central doctrines, although that is also something useful to attempt. But it will involve a selection of important ideas to illustrate their application to how to live. (shrink)

This note criticises an argument used by W. L. Craig against an actual infinity of past events. He argues that if Russell's use of the story of Tristram Shandy, who took a year to recount each day of his life, is extended into an infinite past, then Cantor's principle of correspondence leads to the absurd conclusion that Tristram Shandy has already written his last page. I show that no such conclusion can be drawn, and that a ‘past’ version of the (...) story which does allow this principle to be applied leads to no paradox. (shrink)

Alexander’s "Infinitesimal. How a dangerous mathematical theory shaped the modern world"(London: Oneworld Publications, 2015) is right to argue that the Jesuits had a chilling effect on Italian mathematics, but I question his account of the Jesuit motivations for suppressing indivisibles. Alexander alleges that the Jesuits’ intransigent commitment to Aristotle and Euclid explains their opposition to the method of indivisibles. A different hypothesis, which Alexander doesn’t pursue, is a conflict between the method of indivisibles and the Catholic doctrine of the Eucharist. (...) This is a pity, for the conflict with the Eucharist has advantages over the Jesuit commitment to Aristotle and Euclid. The method of indivisibles was a method that developed in the course of the seventeenth century, and those who developed ‘beyond the Alps’ relied upon Aristotelian and Euclidean ideals. Alexander’s failure to recognize the importance of Aristotle and Euclid for the development of the method of indivisibles arises from an unwarranted conflation of indivisibles and infinitesimals. Once indivisibles and infinitesimals are distinguished, we observe that the development of the method of indivisibles exhibits an unmistakable sympathy for Aristotle and Euclid. Thus, it makes sense to consider an alternative explanation for the Jesuit abhorrence of indivisibles. And indeed, indivisibles but not infinitesimals conflict with the doctrine of the Eucharist, the central dogma of the Church. (shrink)

Hylomorphism is the theory that objects are composites of form and matter. Recently it has been argued that form is structure, or the arrangement of an object's parts. This paper shows that the principle of form cannot be ontologically exhausted by structure. That is, I deny form should be understood just as the arrangement of an object's parts. I do so by showing that structure cannot play the role form is supposed to in a certain domain of objects, specifically, in (...) mereological simples. Thus, I show that Hylomorphism does not reduce to Structuralism. I also draw out some important consequences from my argument for Hylomorphism in general. (shrink)

This paper tries to demonstrate that some passages of Pliny's Naturalis historia on metallurgical materials are influenced by the Stoic philosopher Posidonius' view that surfaces possess a physical existence. Indeed, Pliny reports that copper surfaces are material, both acting towards drawing a patina to themselves, and being acted upon; i.e. they are both chemically modified by air and fire, and subject to mechanical removal. Also relatable to Posidonius, namely to his view of the interaction between soul and body, is Pliny's (...) account of lead and tin, which can be united thanks to the action they mutually exert on each other, since each metal holds together both itself and what is outside itself. A further influence from the ‘aetiologist’ Posidonius is also betrayed in the care Pliny exercises in describing not only metal corrosion and soldering, but also their causes. Both the scientific and the philosophical imports of these passages are compared with passages by Plato and Plutarch on metallurgical subjects; they are also discussed in the light of the theories on ‘mixture’ propounded by Aristotle and by the Old Stoics. It is shown that Pliny's account compares favorably with Posidonius' doctrine, whereas it is at striking variance with the other ancient reports. Introduction Philosophical and literary evidence 2.1 Pliny 2.2 Posidonius 2.3 Plato and Plutarch Discussion Conclusion. (shrink)

James Thomson envisaged a lamp which would be turned on for 1 minute, off for 1/2 minute, on for 1/4 minute, etc. ad infinitum. He asked whether the lamp would be on or off at the end of 2 minutes. Use of “internal set theory” (a version of nonstandard analysis), developed by Edward Nelson, shows Thomson's lamp is chimerical; its copy within set theory yields a contradiction. The demonstration extends to placing restrictions on other “infinite tasks” such as Zeno's paradoxes (...) of motion and Kant's First Antinomy. Resolution of such logical-philosophical problems leads to some very general constraints which must be placed upon the syntax of physical theories. In particular, at some scale space and time would appear granular. The suitability of internal set theory for analyzing phenomena is examined, using a paper by Alper and Bridger (1997) to frame the discussion. (shrink)

Richmond Campbell and Thomas Vinci have recently presented a Bayesian theory of confirmation by novel evidence (Campbell and Vinci [1983]). I shall review their theory as briefly as possible and present three objections to it.

According to three-dimensionalism, objects persist in time by being wholly present at each time they exist; on the contrary, four-dimensionalism asserts that objects persist by having different temporal parts at different times or that they are instantaneous temporal parts of four-dimensional aggregates. Le Poidevin has argued that four-dimensionalism better accommodates two common assumptions concerning persistence and continuity; namely, that time itself is continuous and that objects persist in time in a continuous way. To this purpose, he has offered two independent (...) arguments, each of which moves from a different understanding of continuity. In this paper, both of Le Poidevin’s arguments will be discussed and rejected. (shrink)

Scientism is a philosophy which purports to define what the world ‘really is’. It adopts what the philosopher Thomas Nagel called ‘an epistemological criterion of reality’, defining what is real as that which can be discovered by certain quite specific methods of investigation. As a consequence all features of experience not revealed by those methods are deemed ‘subjective’ in a way that suggests they are either not real, or lie beyond the scope of meaningful rational inquiry. This devalues capacities that (...) (we argue) are in fact essential components of good reasoning and virtuous practice. Ultimately, the implications of scientism for statements of value undermine value-judgements essential for science itself to have a sound basis. Scientism has implications, therefore, for ontology, epistemology and also for which claims we can assert as objective truths about the world. Adopting scientism as a world view will have consequences for reasoning and decision-making in clinical and other contexts. We analyse the implications of this approach and conclude that we need to reject scientism if we are to avoid stifling virtuous practice and to develop richer conceptions of human reasoning. (shrink)

This paper identifies two possible versions of the Epicurean 'Symmetry argument', both of which claim that post mortem non-existence is relevantly like prenatal non-existence and that therefore our attitude to the former should be the same as that towards the latter. One version addresses the fear of the state of being dead by making it equivalent to the state of not yet being born; the other addresses the prospective fear of dying by relating it to our present retrospective attitude to (...) the time before birth. I argue that only the first of these is present in the relevant sections of Lucretius (DRN 3.832-42, 972-5). Therefore, this argument is not aimed at a prospective fear of death, or a fear of 'mortality'. That particular fear is instead addressed by the Epicureans through the additional premise (found in the Letter to Menoeceus 125) that it is irrational to fear in prospect an event which is known to be painless when present. This still leaves unaddressed the related fear of 'premature death', which is to be removed through the acceptance of Epicurean hedonism. (shrink)

We explore the better known paradoxes of Zeno including modern variants based on infinite processes, from the point of view of standard, classical analysis, from which there is still much to learn (especially concerning the paradox of division), and then from the viewpoints of non-standard and non-classical analysis (the logic of the latter being intuitionist).The standard, classical or Cantorian notion of the continuum, modeled on the real number line, is well known, as is the definition of motion as the time (...) derivative of distance (we are not concerned with position and motion in more than one dimension, since Zeno wasn't). The real number line consists of its points, the distance between distinct points being positive and finite. The standard, classical derivative relies on the classical notion of limit, which does not use infinitesimals. (shrink)

What is time? Neither the numbering of the motion of things nor their schema, but their way of being. In language, time shows itself as tense. But every verb has both tense and aspect. So what is aspect? Irreducible to tense, it is the way in which anything is at any time whatsoever. Thus the way things are, their being, is not merely temporal – for it is just as aspectual.

In the process of making bedsteads, Plato claimed, makers look towards the ‘idea’ of the bed. But what is that idea? Two candidates come to mind: shape and purpose. The fact that we identify objects of very different shape, not even involving a bedstead, as beds seems to render purpose conceptually superior. But, then, what is a bed’s purpose? An obvious response appears tobe: lying down and sleeping. Yet, first, beds are not needed for that. Secondly, precisely when a bed (...) is slept on, it is not perceived as a design object. Thirdly, beds constitute a kind of existential furniture, associated with giving birth, making love, suffering illness and dying. All such issues humans really care about, however, are strikingly indifferent towards the design of beds. As elsewhere, the maxim that form follows function fails. Design thinking might rather make headway when beds are conceived of as peculiar spaces within spaces. (shrink)

Calosi-Fano_Pre-socratic-discrete-kinematics2.

In this paper, we address an infamous argument against divisibility that dates back to Zeno. There has been an incredible amount of discussion on how to understand the critical notions of divisibility, extension, and infinite divisibility that are crucial for the very formulation of the argument. The paper provides new and rigorous definitions of those notions using the formal theories of parthood and location. Also, it provides a new solution to the paradox of divisibility which does not face some threats (...) that can possibly undermine the standard Lebesgue measure solution to such a paradox. (shrink)

This article explores the extent to which Heidegger promises a novel understanding of the concept of time. Heidegger believes that the tradition of philosophy was mistaken in interpreting time as a moveable image of eternity. We are told that this definition of time is intelligible only if we have eternity as a point of departure to understand the meaning of time. Yet, Heidegger believes that we are barred from such a viewpoint. We can only understand the phenomenon of time from (...) our mortal or finite vantage point. Contrary to the tradition of philosophy, Heidegger argues that time does not find its meaning in eternity, time finds its meaning in death. The article takes Heidegger's position to task. It argues that it is not evident why Heidegger's account of time should in any way be superior to the traditional conception of time. Drawing on the criticism raised by Lévinas and Blanchot, that death — like eternity — is never at our disposal to understand the phenomenon of time, it shows that although Heidegger is aware that death is never an event in our life, he nonetheless claims that it is the awareness of our finitude that informs our understanding of time. Yet if Heidegger does not see it as a problem that death is never at our disposal, then it becomes questionable whether Heidegger's initial critique launched against the tradition of philosophy still holds, because it is no longer evident why it matters that eternity, as a point of departure, is never at our disposal to understand the phenomenon of time. (shrink)

The question whether quantum discontinuity can or cannot provide an answer to Zeno’s Paradoxes is reopened. It is observed that what is usually understood by the term “discontinuity”, namely, Einstein’s conception of the photon as described by himself and all others, is unsuitable to the task because, essentially,it reduces to the trivial ‘discontinuity’ of objects scattered in space. By contrast, quantization of energy levels, which are not in space but can only alternate in time, provide the right sort of discontinuity (...) required. Discrete quantized orbits, corresponding to eigen-frequencies, are irreducible, and nothing is allowed to stand in-between them in satisfaction of the quantum postulate, furnishing the requisite, and so far missing, immediate nextness of a point to a certain other. In this way, Zeno’s Runner need not postpone his first step indefinitely, always waiting upon an infinity of preceding steps, before it can be taken. There is now a point that is next to a point and so a step on that point, which is the first step. It follows that, if one kind of discontinuity, Einstein’s, is incapable of offerring an answer to Zeno, while another kind can, the two are discrepant. One of them, the former, is not a kind of discontinuity properly so called at all, though evidently the consequence of one. (shrink)

This dissertation is a defense of a particular theory of the metaphysics of time which I call "accretivism", but which is popularly known in a form usually called the "Growing Block Theory". The goal of a metaphysics of time is to incorporate the various aspects of our temporal experience into a single, comprehensive whole. To this end I delineate five aspects of our ordinary experience of time: 1) The Tensed Aspect, in virtue of which objects are presented to us as (...) past, present, or future; 2) The Transitory Aspect, in virtue of which time passes or "flows"; 3) The Durational Aspect, in virtue of which entities have a certain temporal extent; 4) The Structural Aspect, in virtue of which entities are given as being in temporal relations to one another, and 5) The Differential-Repetitive Aspect, in virtue of which things are different from one time to another, and yet there is a certain recurrence of aspects of our experience form one time to another. I contrast the accretivist picture of time, according to which that which is past and that which is present both have ontological status, but nothing which is future has ontological status, and in which temporal passage consists in the coming-into-being of new entities at the temporal edge of reality marked by the present, with the two dominant theories of time in the contemporary literature: 1) presentism, according to which only that which is present has ontological status, and 2) four-dimensionalism, according to which time is to be understood on analogy with spatial dimensions. Accretivism, I argue, is superior to the other two views in virtue of the fact that it gives full status to both the Structural Aspect of Time, for which the presentist has difficulty accounting, and the Transitory Aspect of Time, for which the four-dimensionalist has difficulty accounting. I then defend the accretivist picture against a variety of objections that might be raised to it. (shrink)

У античкој философској традицији, време је поимано као кинетичка просторност. Св. Августин задржава овакво поимање времена али га такође одређује и као памћење и очекивање, који означују сопство као место пресека вечног и пролазног, које он дефинише као временски простор. Св. Максим Исповедник, ослањајући се на Кападокијске Оце, даје одлучујући допринос конституисању нарочитог хришћанског схватања времена и просторности, сагледавајући га у контексту есхатолошке персоналности. Творевина треба да превазиђе временску и просторну интервалност која истовремено представља услов могућности промене начина постојања творевине (...) кроз ипостасно сједињење са Логосом. Коначну истину творевине св. Максим описује као вечнокрећуће мировање, које представља ипостасно/личносно сједињење са Богом, и тиме личносни преображај спацио темпоралног темеља створених бића. (shrink)