Aristotle's Theory of Actuality SUNY Series in Ancient title : Greek Philosophy author : Bechler, Z. publisher: State University of New York Press isbn10 | asin : 0791422399 print isbn13 : 9780791422397 ebook isbn13 : 9780585046068 language : English subject Aristotle, Philosophy of nature. publication date : 1995 lcc : B491.N3B43 1995eb ddc : 113 subject : Aristotle, Philosophy of nature. cover Aristotle's Theory Of Actuality cover-0 SUNY Series in Ancient Greek Philosophy Anthony Preus, Editor cover-1 Aristotle's Theory OF Actuality Zev Bechler State University of New York Press cover-2 Published by State University of New York Press, Albany © 1995 State University of New York All rights reserved Printed in the United States of America No part of this book may be used or reproduced in any manner whatsoever without written permission. No part of this book may be stored in a retrieval system or transmitted in any form or by any means including electronic, electrostatic, magnetic tape, mechanical, photocopying, recording, or otherwise without the prior permission in writing of the publisher. For information, address State University of New York Press, State University Plaza, Albany, N.Y., 12246 Production by Diane Ganeles Marketing by Fran Keneston Composition by Kelby Bowers, Compublishing, Cincinnati, Ohio Library of Congress Cataloging-in-Publication Data Bechler, Z. Aristotle's theory of actuality / Zev Bechler. p. cm.(SUNY series in ancient Greek philosophy) Includes bibliographical references and index. ISBN 0-7914-2239-9 (alk. paper).ISBN 0-7914-2240-2 (pbk.: alk. paper) 1. Aristotle. 2. Philosophy of nature. I. Title. II. Series. B491.N3B42 1995 185dc20 94-1045 CIP 10 9 8 7 6 5 4 3 2 1 cover-3 To Niza Dolav For her special friendship cover-4 Contents Acknowledgments xi Introduction: The Idea of Anti-Informationism 1. Tradition: Forms into Forces 1 2. Nonseparability and its Consequences 2 3. A Note on the Translations 4 Chapter One: Aristotle's Explanation of Natural Motion 1.1. The natural motion puzzle and the two potentialities 5 1.1.1. Soul as first actuality 6 1.1.2. The definition of motion and the aspects of the potential 8 1.1.3. The two potentials 11 1.1.4. Genuine potentiality is one with actuality 12 1.1.5. Consistency-potentials are noneffectual and nonreal 18 1.1.6. A role for consistency-potentials: Dispute with the Megarians 21 1.1.7. Plato's Forms and the nature of consistency-potential 23 1.1.8. Aristotle's principle of the priority of the actual 25 1.2. The explanation of natural motion 28 1.2.1. Is everything moved by another in Aristotle's physics? 28 1.2.2. The official interpretation and the energizer theory 30 1.2.3. The natural motion of living creatures is uncaused motion 32 1.2.4. Is "nature" the mover in the natural motion of the elements? 34 1.2.5. How can potentiality be the mover in natural motion? 36 1.2.6. Practical syllogism and the necessity of action 39 1.2.7. Desire and motion 42 cover-5 Page viii 1.2.8. The mover in natural motion is a logical mover 44 1.3. Logical causality and teleology 47 1.3.1. Form and end are logical causes 47 1.3.2. Efficient causes and logical causality 50 1.3.3. Is causal necessity really different from teleological necessity? 52 1.3.4. Hypothetical and categorical necessities are the same 53 1.3.5. Means and ends are strictly convertible 55 1.3.6. Aristotle's teleology "strictly speaking" 56 Chapter Two: Logical Causality and Priority of the Actual: Consequences and Illustrations 2.1. Coincidence, relationality and the ontology of potentiality 59 2.1.1. Coincidentality entails non-causality 59 2.1.2. Why is the coincidental necessarily causeless? 62 2.1.3. The nullity of the coincidental 63 2.1.4. Clustering, instantaneity and the relativity of the coincidental 65 2.1.5. The identity of the relative and the coincidental 68 2.1.6. Lack and the coincidental 69 2.1.7. The potentiality connection 73 2.2. The First Mover fiasco 76 2.2.1. The ontology of Met 12 76 2.2.2. Redundancy: "Why need we seek any further principles?" 77 2.2.3. Contradicting the priority of the actual 79 2.2.4. How is separate form possible? 81 2.3. Substance and causality 84 2.3.1. The unity of substance 84 2.3.2. The unity of causal action 89 2.3.3. The inconsistency of Aristotle's actualism 92 2.3.4. The notion of particular-form: A.C. Lloyd 95 2.4. Logical determinism 102 2.4.1. Plenitude and the necessity of eternal motion 102 2.4.2. The necessity of all states 104 2.4.3. Necessity into contingency 107 2.4.4. The future sea-battle: Physical indeterminism and logical 109 determinism page_viii Page ix 2.5. The continuum 112 2.5.1. The instantaneity of actualization 112 2.5.2. The nature of the infinite 116 2.5.3. Potential infinity and Zeno's Achilles 120 2.5.4. Homogeneous analysis and the impossibility of continuous change 122 2.5.5. Continuous motion and abrupt change 126 Chapter Three: Necessity, Syllogism and Scientific Knowledge 3.1. Two kinds of necessity 129 3.2. Deductive necessity and group inclusion 130 3.3. Propositional necessary truth 132 3.4. Deductive necessity and the circularity of the syllogism 134 3.5. Accepting circularity 1: Syllogistic demonstration 135 3.6. Nominalism and Aristotle's essentialism: Seeing the universal 137 3.7. Aristotle's demon: Potentiality and the scientific syllogism 141 3.8. Accepting circularity 2: Knowing that and what and why 143 3.9. Convertibility and noninformativity 146 3.10. Necessity by construction 148 3.11. Objective identity and noninformativity 151 3.12. Aristotle on noninformative questions 153 3.13. Noninformativity and error 155 3.14. Summary 157 Chapter Four: Inconsistent Potentials: The Philosophy of Mathematics 4.1. Some conditions for a philosophy of mathematics 159 4.2. The potentiality of mathematical objects 160 4.3. The puzzle of the exactness of mathematics 162 4.4. Qua and the relativity of the essence-matter distinction 164 4.5. Construction and absolute potentiality 166 4.6. Objections to a constructionist interpretation: (1) Annas 170 4.7. Objections to a constructionist interpretation: (2) Lear 171 4.8. Objections to a constructionist interpretation: (3) Hussey 175 4.9. Intelligible matter: The triangle is neither a "this," nor a triangle, nor 177 triangular 4.10. The nondenotativity of mathematics according to Aristotle's philosophy: A 179 short review 4.11. The a priority of Aristotle's philosophy of essence and mathematics 181 4.12. The formality and emptiness of mathematics according to Aristotle's 183 philosophy 4.13. The a priority of qua and the nature of mixed science 184 4.14. Aristotle's concept of universal mathematics 186 page_ix Page x Notes 190 Bibliography 231 Index of Passages 259 General Index 267 page_x Page xi Acknowledgments During the ten years in which this work has been in the making, it was continuously rewritten, expanded, and contracted. Its earliest version was read by my colleague and friend, Shabtai Unguru, and criticized in many heated discussions. I thank him for his patience and insistence on proof for everything. Special thanks go to Antony Lloyd who so freely and generously donated his time and deep scholarship to a complete stranger. His detailed criticism of the first half of the book helped me steer clear of many errors, clarify many arguments, and drastically readjust the book's perspective. Niza Dolav, my close friend and assistant during all these years, gathered (sometimes unearthed) the literature I needed, typed the infinite number of my longhand drafts and the whole book several times as it metamorphosed. She created the whole apparatus, gave the book its final look before going to the publisher, and finally proofread both galleys and the page proofs. I wouldn't have completed the book but for her devotion and determination. My wife Nira has been my daily love-support system and no words can express my gratitude to her. page_xi Page 1 Introduction: The Idea Of Anti-Informationism 1. Tradition: Forms into Forces Our traditional perception of Aristotle's philosophy of nature takes it as a kind of dynamics, a theory of forces that cause the motions of the world. This tradition interprets his concept of ''nature" by taking what he calls "beginning" or "principle" or "origin" (arche *) as some kind of a force, and the "internal origin of motion" (arche* kineseos* en auto(i)*, which is Aristotle's formal definition of "nature") as "a power, resident in natural objects" (Ross, 1936: 25). This initial step is next followed by linking the "internal power" with potentiality for motion, and potentiality (dunamis) now becomes a power or force resident in natural objects, causing their natural motions. From such humble beginnings, this traditional reading of Aristotle molds him into a sobered-up Plato, namely, a Plato without a world of Ideas. Aristotle took these, so it is suggested, and transformed them into indwelling entities residing within natural objects. These, in their new role, he renamed "forms," but apart from these two variations he left them intact as he found them in Plato. In particular, Aristotle's forms remain causative as "powers, resident in natural bodies" (Ross, ibid.) acting on these bodies from within as their immediate movers in their natural motions. "Nature or essence" is the indwelling form that is "an internal power of originating movement" as Ross put it (ibid: 24), or as a recent scholar writes, it is the "developmental force which impels it [the body] toward the realization of its form . . . a force for future growth and development. This force is form. The form in the young healthy organism is an internal force propelling it toward the realization of its form" (Lear, 1988: 19). Aristotle's theory of natural motions becomes, in this manner, a kind of Newtonian (or at least Galilean) Ur-Physik, with Aristotle's nature or essence or form acting as the force of inertia (with the minor difference of causing acceler- page_1 Page 2 ated instead of uniform motions). It becomes Newtonian dynamics with a factual error but with no difference of principle. Just as Newton did, Aristotle distinguished all motions into natural and forced and, like Newton, he viewed all motions as caused by forces, internal for natural and external for enforced motions. All that was needed to arrive at the Newtonian physics was to add that natural motions are uniform and enforced motions are accelerated. 1 One would expect that the notorious Aristotelian teleology might present some difficulty on the road to such amalgamation, but this is not the case. For, to nicely round off the picture, the final cause is interpreted by this tradition as just another force, acting from the "end" on the object, awakening a "desire" in it to unite with the end. Since the ''end" is the eventual actuality of the form, it turns out that the end is the form and so, by a kind of magic, the not yet actual-ized form becomes the indwelling form of the object and so the force that propels the object towards its end. Natural motions of bodies are now "expressions of their strivings towards the fulfilment of [the element's] proper form" (Sam-bursky, 1962: 63). Realizing that there is "an air of paradox" in holding both that Aristotle "identifies an organism's nature with the end" and also that he identifies this nature with the indwelling form, which is "an internal force propelling it toward the realization of the form," Lear attributes to Aristotle the answer "that we should conceive the end as being the (fully actualized) form" (Lear, 1988: 19). How this duplication of the paradox can also be its dissolution is a new paradox, never to be resolved.2 The picture that emerges is of Aristotle's theory as providing information about the content and inner components of natural bodies. Each such body is composed of matter and form, and the form is a force acting on the matter, moving it toward its end or purpose, with an intensity that is a measure of its desire for that purpose. The form, or nature, or essence, is some definite component sitting inside the matter but distinct from it in a simple, physical sense, like the balloon from the helium it contains. 2. Nonseparability and Its Consequences The facts of the matter, in my view, could not be less compatible with this traditional reading. And the main relevant fact, amicably accepted by all, is that Aristotle's forms are non-separable from the object or the matter either physically or in thought (logically). But what is crucial here is not that the form is "in" the object (as against Plato's external and separate Ideas, as the slogan goes), but rather that form is merely and strictly the object viewed in a certain manner. page_2 Page 3 Aristotle's forms are not parts or components within the object because, being aspects, they are not the kind of thing that can compose their object. His attack on Plato's Ideas was not a campaign to transfer and install them intact, as they are, within bodies, but rather to eliminate them altogether as self sufficient (i.e., separate) entities, and this entailed eliminating them also as components that are in any sense separable. The situation is clearer in the symmetric case of matter, for it is rather obvious that matter is not an entity dwelling "inside" or "within" any natural object, like marbles in a matchbox. Rather, the matter of such an object is the whole of this object seen in a certain manner. But if this is accepted, then the same must be true for the case of form, since it is the logically correlate concept, the whole of the object seen in a complementary manner. In this sense it must be concluded that the object, its matter, and its form are one and the same identical thing, "differently said." This is merely to spell out their nonseparability from each other. 3 This step meant a wholesale rejection of the various schemes, which Plato explored, of informative explanation of the phenomena (by means of, e.g., geometrical atoms, world-soul, Ideas, and more). But for forms and essences and natures to go on explaining, as Aristotle's scheme demands, and yet be nothing but aspects, a wholly new concept of explanation had to be presupposed in which explanation need not at all reveal new physical information about the object. In contrast to the Galilean-Newtonian version of the Platonic conception, an explanation need not analyze the object into-its separate components, discover how they act on each other, and then sum up the forces involved into a resultant force that acts on the whole body and moves it on its way. The reason is twofold. First, in Aristotle's scheme there are no such components, no such forces, no such action in natural motion. There is nothing inside the body that desires some future purpose, nor does the future nonexistent end act on the body to pull it toward itself. Just as aspects are not parts and components, so can they neither be forces nor desires nor deliberations. Since the only "parts" the object contains are aspects, which are no parts at all, a natural object (e.g., a piece of the element earth, or water, or a plant, or a living organism) is absolutely whole, absolutely a unity. Not even what we would normally call the parts of such a natural substance (e.g., the legs of the cow) are actual parts. They are merely potential parts (i.e., the cow is not composed of them), and the moment they become actual parts they stop being really the same things. A separate leg is no leg at all, Aristotle would say. Secondly, taking explaining and understanding to be mental processes, it is a fact of the natural world that they do not need information about parts and components and forces in order to be "satisfactory" to us, i.e., to excite in us the proper mental reaction. Thus, anti-informationism is both a doctrine about the furniture of the world (i.e., about "the what-it-is-to-be" a natural substance) and page_3 Page 4 a doctrine about explanation and understanding (i.e., about knowledge). Moreover, both are tightly linked, for since a natural substance is an absolute unity, its explanation and understanding can only be knowledge of its aspects. Matter and form in the case of natural change are, it thus turns out, aspects of the object as something else. If the cow is the form of the calf, then the form of the calf is the calf aspected as a cow, just as the matter of the cow is the cow aspected as the calf. And if the calf's matter is bones and flesh, then the matter is the calf viewed as bones and flesh. But neither the cow nor the bones and flesh are parts or components of the calf. How, then, explain the fact that the calf grew to become a cow? Or that it was butchered to become legs and ribs? Aristotle used the machinery of actuality and potentiality in order to say that what becomes actual is what was potential, and, more importantly, that it became actual because it was potential before. This scheme is the paradigmatic form of non-in-formative explanation. Its aim, I'll argue, is strict logical necessity and maximal rationality, and it achieves these aims by rejecting the notion of informative explanation, which it sees as nonlogical and nonrational. 3. A Note on the Translations Wherever possible I tried to use only extant, widely accepted translations, but I used them to bring out as clearly as possible the points I wish to make. This led me sometimes to even use different translations of consecutive passages when they don't conflict or lead to some inconsistency. Consequently, I always mention the translator's name in the reference, and only where no name is mentioned is the translation my own. The references also list the modifications I made in the translation (following the sign "mod:"). Much as I wished, I could not employ some of the best modern translations since the kind of awkward English they use (Eek, as Furth named it), though making them a precise rendition of the Greek, also makes them at times useless for purpose of illustrating an idea. The bibliography lists all the material I made use of in an earlier and much lengthier version of this work. page_4 Page 5 Chapter One Aristotle's Explanation Of Natural Motion 1.1. The Natural Motion Puzzle and the Two Potentialities My main aim in this chapter is to impress upon you the presence of two kinds of potentiality in Aristotle's mature philosophy, and then to lead toward the conclusion of the nonreality of all potentiality, a conclusion that is expressed in Aristotle's principle of the priority of the actual. I begin with a light and breezy sketch of his definition of soul and of a puzzle about the mover in natural motion, and let the analysis of this puzzle get thick only at a later stage, when the consequences about potentiality are brought back to work on Aristotle's explanation of motion. The puzzle is that in the whole of Aristotle's mature works there is no systematically clear answer to the question: What moves things in their natural motion? He devotes to this question, for the case of living things, the last five chapters of De Anima (= DA), but nothing definite comes out of it. And he makes a concerted effort to solve it for the case of inanimate things in the seventh and eighth books of Physics (= Phys), with similar results. It is clear, however, that he looks for an answer in terms of his concept of potentiality. For soul, which must be the mover of living creatures, he regards as the first actuality of what is potentially alive, and in the case of inanimate bodies he concludes that the mover is its potentiality to move as it actually moves. I shall begin, just to get things rolling, with a brief and very superficial report of Aristotle's solution in the case of animal motion in DA, and then use this for developing an interpretation of his theory of potentiality. Equipped with this I shall then, in the second part of this chapter, explain his theory of natural motion. Throughout this presentation I shall bring into relief the elements of his basic conception of nature and of explanation as two noninformative systems. The meaning of noninformativity will emerge as we go.
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