Aristotle: Time

Aristotle argues that time depends on soul to count it, but adds that motion, which makes time what it is, may be independent of soul. The claim that time depends on soul or mind implies that there is at least one measurable property of natural beings that exists because of the mind’s activity. This paper argues that for Aristotle time depends partly on soul, but more importantly on motion, which defines a continuum. This argument offers a robust metaphysics of time. (...) In contrast to modern philosophy of physics, for Aristotle the continuum of motion is prior in being to time, while time is a hybrid of the real continuum of motion and the activity of mind. (shrink)

The present PhD dissertation aims to examine the relation between modality and change in Aristotle’s metaphysics. -/- On the one hand, Aristotle supports his modal realism (i.e., worldly objects have modal properties - potentialities and essences - that ground the ascriptions of possibility and necessity) by arguing that the rejection of modal realism makes change inexplicable, or, worse, banishes it from the realm of reality. On the other hand, the Stagirite analyses processes by means of modal notions (‘change is the (...) actuality of what is virtual insofar as it is virtual’). In other words: to grasp what change is, one has to resort to the modal idiom of potentialities, while the fact that there is change is indicative of the fact that nature is full of modal properties. -/- Aristotle’s modal and kinetic realism finds a negative in the figure of the Megaric Diodorus Kronus. The polemical situation of Greek philosophy has indeed the dialectical advantage of not opposing the Aristotelian position to a sui generis straw man. Both in its reduction of modal judgements to temporal quantifications and in its dissolution of the reality of the state-of-being-in-motion in favour of a cinematographic view of processes, the philosophical figure of reductionist antirealism embodied by Diodorus constitutes an alternative that takes the opposite view of Aristotle’s realism. -/- The present study is structured as a discussion between these two positions. In the face of Diodorus’ antirealist challenges, Aristotle articulates modal and kinetic considerations: the answers he gives to Diodorus’ puzzles thus provide valuable insight into his metaphysics. Moreover, the examination of Aristotle’s and Diodorus’ metaphysics, because of their insight and originality, will not fail to interest the philosopher concerned with the metaphysical foundations of modern physics, insofar as the entanglement between modalities and processes is nowadays at the core of mechanics (phase spaces, path integrals, etc.). (shrink)

In De interpretatione 9, Aristotle argues against the fatalist view that if statements about future contingent singular events (e.g. ‘There will be a sea battle tomorrow,’ ‘There will not be a sea battle tomorrow’) are already true or false, then the events to which those statements refer will necessarily occur or necessarily not occur. Scholars have generally held that, to refute this argument, Aristotle allows that future contingent statements are exempt from either the principle of bivalence, or the law of (...) excluded middle. This paper offers a new interpretation of Aristotle’s refutation of fatalism. According to this interpretation, each member of a pair of contradictory future contingent statements, in virtue of expressing modal necessity, is simply false. (shrink)

In this paper I investigate central temporal and spatial notions in the second part of Plato’s Parmenides and argue that also these notions, and not only the metaphysical ones usually discussed in the literature, can be understood as a response to positions and problems put on the table by Parmenides and Zeno. Of the spatial notions examined in the dialogue, I look at the problems raised for possessing location and shape, while with respect to temporal notions, I focus on the (...) discussion of ‘being in time’ and exaiphnês (the latter notion will be shown to be also an important influence for Aristotle’s Physics). In displaying a paradoxical character and taking up crucial notions from Parmenides, the second part of the Parmenides seems to display some resemblance to Zeno’s paradoxes. I will show, however, that in contrast to Zeno, the second part of Plato’s Parmenides also demonstrates Parmenides’ One to be problematic on its own terms. Furthermore, the dialogue presents not only important problems that these spatial and temporal notions seem to lead us into, but also establishes some positive features necessary to think of time and space. In this way, Plato’s Parmenides can be seen as contributing to the development of temporal and spatial conceptualisations in ancient Greek thought. (shrink)

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 paper reconstructs the relationship between the now, motion, and number in Aristotle to clarify the nature of the now, and, thereby, the relationship between motion and time. Although it is clear that for Aristotle motion, and, more generally, change, are prior to time, the nature of this priority is not clear. But if time is the number of motion, then the priority of motion can be grasped by examining his theory of number. This paper aims to show that, just (...) as numbers are generated by the soul, time is not presupposed by motion, but emerges through the soul’s articulation of motion. Time is co-constituted by the soul and motion. The now is the key to understanding both the contribution of motion and soul to the being of time. The now is part of the soul’s articulation of motion, and sets the stage for an act that distinguishes a unit from its underlying motion. The now, then, sets up an abstraction by which the soul generates the temporal number from motion. Reconstructing this account of abstraction allows us to formulate more strongly Aristotle’s claim to the ontological dependence of time on motion. The paper then gives a systematic overview of the relationships between the now and number in order to address the question of whether the now might be extended. It closes with an examination of the possibility that motion depends on time, and how universal time is possible. (shrink)

Aristotle recognizes two modes of apprehending time, viz., perceiving time and grasping time intellectually. This chapter clarifies what is and is not involved in these two modes of apprehending time. It also clarifies the way in which they interact, and argues that, according to Aristotle, one’s intellectual grasp of time has an effect on one’s perception of time for those beings who have intellect.

Despite the language we saw in the previous chapter, which allowed for time apprehension by perception and marking, in Physics iv 14, Aristotle famously argues that time is dependent on nous.

A “conceptual spaces” approach is used to formalize Aristotle’s main intuitions about time and change, and other ideas about temporal points of view. That approach has been used in earlier studies about points of view. Properties of entities are represented by locations in multidimensional conceptual spaces; and concepts of entities are identified with subsets or regions of conceptual spaces. The dimensions of the spaces, called “determinables”, are qualities in a very general sense. A temporal element is introduced by adding a (...) time variable to state functions that map entities into conceptual spaces. That way, states may have some permanency or stability around time instances. Following Aristotle’s intuitions, changes and events will not be necessarily instant phenomena, instead they could be processual and interval dependent. Change is defined relatively to the interval during which the change is taking place. Time intervals themselves are taken to represent points of view. To have a point of view is to look at the world as it is in the selected interval. Many important concepts are relativized to intervals, for instance change, events, identity, ontology, potentiality, etc. The definition of points of view as intervals allows to compare points of view in relation to all these concepts. The conceptual space approach has an immediate semantic and structural character, but it is tempting to develop also logics to describe them. A formal language is introduced to show how this could be done. (shrink)

The difficult phrase ὅ ποτε ὄν ἐστι (hereafter ‘OPO’), which occurs in key passages in Aristotle’s discussions of blood and of time, has long vexed interpreters of Aristotle. This paper proposes a new interpretation of OPO, which resolves some textual and interpretative problems about Aristotle’s theories of blood and of time. My interpretation will also shed light on more general issues in Aristotle’s metaphysics. In the passages I will discuss, Aristotle takes both blood and time to be examples of his (...) peculiar ‘coupled entities’. He then uses OPO to provide explanations which differ from what we might call his ‘standard’ metaphysical explanations. On the ‘standard’ approach, Aristotle explains derivative entities—non-substances—by describing their relationship to substances. By contrast to this standard form of explanation, when Aristotle uses OPO he explains blood and time by describing their relationship to non-substances. This paper thus identifies a new species of metaphysical dependence in Aristotle. In addition, it provides detailed examination of evidence concerning whether Aristotle himself used coupled entities in his own physical and metaphysical theories. (shrink)

On Jaakko Hintikka’s understanding of Aristotle’s modal thought, Aristotle is committed to a version of the Principle of Plenitude, which is the thesis that no genuine possibility will go unactualized in an infinity of time. If in fact Aristotle endorses the Principle of Plenitude, everything becomes necessary. Despite the strong evidence that Aristotle indeed accepts that Principle of Plenitude, there are key texts in which Aristotle seems to contradict it. On Hintikka’s final word on the matter, Aristotle either endorses the (...) Principle of Plenitude or Aristotle is simply inconsistent. Without challenging Hintikka’s interpretation of the relevant texts, I show how Aristotle may accept a form of the Principle of Plenitude that allows for genuine unactualized possibilities in the world. What allows me to reconcile the seemingly inconsistent data is to show how Aristotle is only committed to a de re version of the Principle of Plenitude. After I lay out my proposal, I show how it opens up new ways in which we might understand Aristotle’s attempt to reject fatalism in his De interpretatione 9. (shrink)

Aristotle describes time as continuous (cf. Phys. 219a 10-15). We argue here, first, that the time's continuity and magnitude's continuity differ, even though time's continuity depends on magnitude: actually a magnitude can be divided, that is, can fail to be continuous, but not time: time can be never actually divided, because an actual division in time would imply something like a real point in which time is denied, and that is impossible according to Aristotle (cf. Phys. 251b 10-28). The only (...) divisions that time as continuous would admit are those made by the soul, i. e. only logical divisions. Secondly, we indicate that time could be considered from two perspectives: a logical –or, in a way, mathematical–, and other in the strict sense real. These two perspectives would be suggested by the distinction of meanings that Aristotle makes about the now (cf. Phys. 219b 10-13). The ontological perspective would show certain nexus between the Aristotle's analysis of time with those of contemporary Physics. (shrink)

In Physics IV 14, 223a16-223a29 Aristotle raises two questions: (Q1) How is time related to the soul? (Q2) Why is time thought to be in everything? Aristotle's juxtaposition of these questions indicates some relation between them. I argue that Aristotle is committed to the claim that time only exists where change is countable. Aristotle must answer (Q2) in a way that doesn't conflict with this commitment. Aristotle's answer to (Q1) offers him such a way. Since time is change qua countable, (...) time is dependent on souls capable of counting. But the thing that time is, change, is not so dependent. Likewise, time is not located in everything, but change, the substratum of time, is. This answers (Q2) in a way that's compatible with Aristotle's commitments. (shrink)

The problem of time has been present throughout history of philosophy since its beginnings. However to consider what is time is not a matter of technical theorization, conversely, this results interesting in as much as a reflection on the nature of world, and even the human particularities, cannot evade time problem. Aristotle is a stage under obligation in history of philosophy. My main purpose is to understand why time is problematic and what difficulties we have to meet with (chapter one). (...) On the other hand, I'm interested in the way Aristotle give an account of these difficulties in virtue of the relation among movement or change, magnitude and time, as well as the latter character of number (chapters two and three). Finally, is necessary to present some subsequent problems related with the time theory at stake (chapter four). (shrink)

This paper defends Aristotle’s project of deriving the order of time from the order of change in Physics 4.11, against the objection that it contains a vicious circularity arising from the assumption that we cannot specify the direction of a change without invoking the temporal relations of its stages. It considers and rejects a solution to this objection proposed by Ursula Coope, and proposes an alternative solution. It also considers the related problem of how the temporal orders and directions derived (...) from individual changes can together constitute a single, globally consistent order and direction of time. (shrink)

In Physics 4.11, Aristotle discusses a sophistical puzzle in which "being Coriscus-in-the-Lyceum is different from being Coriscus-in-the-market-place." I take this puzzle to threaten the persistence of changing entities. Aristotle's answer to the puzzle is that the changing thing "is the same in respect of that, by (means of) being which at any time it is (what it is), S but in definition it is different." That is, Coriscus may be described as either a persisting substrate or as one or more (...) accidental unities. Described as the former, Coriscus persists, but described as the latter, he does not. (shrink)

Mitä oleva on? Omaisuus ja elämä pureutuu tähän filosofian peruskysymykseen seuraten kahta länsimaisen filosofian jättiläistä, Aristotelestä ja Heideggeria. Siinä missä Aristoteles kysyy olevaa substantiivina ja tilana, etsii Heidegger olemisen mieltä verbinä ja tapahtumana. Nämä kaksi merkitystä löytyvät myös suomen olla-verbistä: "omistaa jotakin" ja "olla olemassa, elossa". Omaisuus ja elämä antavat peruslähtökohdat olevan tulkitsemiselle. Kirja vie lukijansa filosofian kreikkalaisille juurille ja sen uusimpiin, Heideggerin avaamiin mahdollisuuksiin.

The paper discusses Heidegger's early notion of the “movedness of life” (Lebensbewegtheit) and its intimate connection with Aristotle's concept of movement (kinēsis). Heidegger's aim in the period of Being and Time was to “overcome” the Greek ideal of being as ousia – constant and complete presence and availability – by showing that the background for all meaningful presence is Dasein, the ecstatically temporal context of human being. Life as the event of finitude is characterized by an essential lack and incompleteness, (...) and the living present therefore gains meaning only in relation to a horizon of un-presence and un-availability. Whereas the “theological” culmination of Aristotle's Nicomachean Ethics finds the supreme fulfillment of human life in the semi-divine self-immanence and self-sufficiency of the bios theōrētikos, a radical Heideggerian interpretation of kinēsis may permit us to find in Aristotle the fundamental structures of mortal living as self-transcendent movement. (shrink)

Aristotle's conception of being is dynamic. He believes that a thing is most itself when engaged in its proper activities, governed by its nature. This paper explores this idea by focusing on Metaphysics , a text that continues the investigation of substantial being initiated inMetaphysics Z. Q.1 claims that there are two potentiality-actuality distinctions, one concerned with potentiality in the strict sense, which is involved in change, the other concerned with potentiality in another sense, which he says is more useful (...) for the present project. His present project is the investigation of substantial being, and the relevant potentiality is the potentiality for activity, the full manifestation of what a thing is. I explore Aristotle's two potentiality-actuality distinctions AND argue that the second distinction is modeled on the first, with one crucial modification. Whereas a change is brought about by something other than the object or by the object itself considered as other (as when a doctor cures himself), an activity is brought about byte object itself considered as itself. This single modification yields an important difference: whereas a change leads to a state other than the one an object was previously in, an activity maintains or develops what an object already is. (shrink)

The diversity of interpretations of Aristotle’s treatment of chance and luck springs from an apparent contradiction between the claims that “chance events are for the sake of something” and that “chance events are not for the sake of their outcome.” Chance seems to entail the denial of an end. Yet Aristotle systematically refers it to what is for the sake of an end. This paper suggests that, in order to give an account of chance, a reference to “per accidens causes” (...) is not sufficient. Chance occurs as a parody of teleology; it is a“for-no-purpose” that looks like a purpose. The notion of “irony” is suggested as a way of accounting for a situation that keeps an ambiguity open. The fact that chance is thought of in relation to teleology does not mean that it is “reappropriated” by teleology. Rather,chance reveals a hiatus that betrays the limitation of a language concerned with substances to account for events. (shrink)

Debate about the nature of time has been dominated by discussion of two issues: the reality of absolute time and the reality of A-series. We argue that Aristotle adopts a form of the A-theory entailing a denial of the reality of absolute time. Furthermore, Aristotle's denial of absolute time is linked to a denial of the reality of pure temporal becoming, namely, the idea that the now moves through a fixed continuum along which events are arranged in chronological order. We (...) show that the puzzles discussed by Aristotle in IV:10 of the Physics are generated by this view of time and that Aristotle's own theory of time, according to which changes are used to measure one another, avoids these problems. (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.

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)