The paper provides close commentary on an important but generally neglected passage in "Prior Analytics" B.21 where, in the course of solving a logical puzzle concerning our knowledge of universal statements, Aristotle offers his only explicit treatment of the Platonic doctrine of Recollection. I show how Aristotle defends his solution to the "Paradox of Knowing Universals", as we might call it, and why he introduces Recollection into his discussion of the puzzle. The reading I develop undermines the traditional (...) view of the passage and lends fresh insight into Aristotle's conception of Plato's particular version of innatism; more specifically, when understood as I recommend, the passage strongly suggests that, on Aristotle's view, Plato's theory of Recollection is specifically designed to explain our apprehension of universal truths. The reading I propose also enables us to see how the allegedly non-standard use of the technical term ἐπαγω³ή in B.21 can be understood in a perfectly straightforward fashion to refer to an inductive inference from singular statements to the universal truth they exemplify. Owing to this last point in particular, the paper carries serious consequences for our understanding of the purported doublet in the problematic opening chapter to the "Posterior Analytics" where Aristotle offers his only explicit attempt to solve Meno's Paradox. (shrink)

The paper provides close commentary on an important but generally neglected passage in _Prior Analytics B.21 where, in the course of solving a logical puzzle concerning our knowledge of universal statements, Aristotle offers his only explicit treatment of the Platonic doctrine of 'recollection'. I show how Aristotle defends his solution to the "Paradox of Knowing Universals", as we might call it, and why he introduces recollection into his discussion of the puzzle. The reading I develop undermines the traditional (...) view of the passage and lends fresh insight into Aristotle's conception of Plato's particular version of innatism. (edited). (shrink)

Proponents of the dispositional theory of properties typically claim that their view is not one that offers a realist, governing conception of laws. My first aim is to show that, contrary to this claim, if one commits to dispositionalism then one does not automatically give up on a robust, realist theory of laws. This is because dispositionalism can readily be developed within a Platonic framework of universals. Second, I argue that there are good reasons for realist dispositionalists to (...) favour a Platonic view. This is because the alternative Aristotelian version of dispositionalism, on which universals are immanent entities, is unstable for various reasons. My final aim is to address a common criticism facing Platonic theories of laws, which is the problem of how external entities can play an explanatory role where the world’s law-like patterns of behaviour are concerned. I argue that the Platonists’ response to the one over many problem can help to shed light on this matter, and a possible solution is sketched, one which makes use of the notions of essence, constitution and ontological dependence. (shrink)

According to immanent realism, there are universals in the spatiotemporal world quite independently of language and the mind. The existence of these universals, furthermore, is not dependent upon there being Platonic universals existing outside the spatiotemporal world. In this paper I will try to show that immanent realism holds not only for many determinate universals, but for some determinable universals as well. In other words, there are ontological determinables as well as conceptual determinables.

In this paper I argue that if one subscribes to dispositionalism — the view that natural properties are irreducibly dispositional in character — then one ought to favour a Platonic view of properties. That is, dispositionalists ought to view properties as transcendent universals. I argue for this on the grounds that only with transcendent universals in play can two central dispositionalist platitudes be accounted for in a satisfactory way. Given that dispositionalism is becoming an increasingly influential view (...) in the metaphysics of science, my argument, if successful, suggests that Platonism will see something of a revival in contemporary metaphysics. This new kind of Platonism is shown to have some striking metaphysical and epistemological consequences. (shrink)

Platonic universals received sympathetic attention at the turn of the century in the early writings of Moore and Russell. But this interest quickly waned with the empiricist and nominalist movements of the twenties and thirties. In this process of declining interest Wittgenstein's theory of family resemblance seemed to serve both as coup de grâce and post-mortem.I propose, however, that family resemblance far from being an adequate refutation of Platonic universals can actually be accommodated within a (...) class='Hi'>Platonic theory properly conceived. But first for some caveats and qualifications.What family resemblance actually succeeds in refuting is not Platonic universals but Aristotelian or empiricist, or, generally, abstractive or commutative, universals. An abstractive universal is a universal arrived at by induction from identical characteristics in numerically distinct individuals. An abstractive universal is a common property and nothing else. This conception of a universal has several consequences. First, abstractive universals are ontologically dependent on particulars. (shrink)

David Armstrong accepted the following three theses: universals are immanent, laws are relations between universals, and laws govern. Taken together, they form an attractive position, for they promise to explain regularities in nature—one of the most important desiderata for a theory of laws and properties—while remaining compatible with naturalism. However, I argue that the three theses are incompatible. The basic idea is that each thesis makes an explanatory claim, but the three claims can be shown to run in (...) a problematic circle. I then consider which thesis we ought to reject and suggest some general lessons for the metaphysics of laws. (shrink)

This paper shows how the universals of category theory in mathematics provide a model (in the Platonic Heaven of mathematics) for the self-predicative strand of Plato's Theory of Forms as well as for the idea of a "concrete universal" in Hegel and similar ideas of paradigmatic exemplars in ordinary thought. The paper also shows how the always-self-predicative universals of category theory provide the "opposite bookend" to the never-self-predicative universals of iterative set theory and thus that the (...) paradoxes arose from having one theory (e.g., Frege's Paradise) where universals could be either self-predicative or non-self-predicative (instead of being always one or always the other). (shrink)

It has become commonplace in introductions to Indian philosophy to construe Plato’s discussion of forms (εἶδος/ἰδέα) and the treatment in Nyāya and Vaiśeṣika of universals ( sāmānya/jāti ) as addressing the same philosophical issue, albeit in somewhat different ways. While such a comparison of the similarities and differences has interest and value as an initial reconnaissance of what each says about common properties, an examination of the roles that universals play in the rest of their philosophical enquiries vitiates (...) this commonplace. This paper draws upon the primary texts to identify the following metaphysical, epistemological, semantic and soteriological roles that universals play in the philosophy of Plato and of Nyāya and Vaiśeṣika: Metaphysical: causal of the existence of x Metaphysical: constitutive of the identity/essence of x Epistemological: cognitively causal (i.e. of the cognition of one over many) Epistemological: epistemically causal (i.e. of knowledge of x) Semantic: necessary condition of speech and reason Epistemological: vindicatory of induction (Nyāya only) Metaphysical: explanatory of causation (Nyāya only) Soteriological: cathartic contemplation (Plato only) These roles provide us with motivations or reasons to believe that universals exist. As we examine these motivations, we find pressures mounting against our assimilating Platonic forms and the universals of Nyāya and Vaiśeṣika in the discourse about common properties. It is especially when we appreciate the utterly different contribution that universals make in securing our highest welfare that we realize how Plato and the two sister schools are not so much talking somewhat differently about the same thing, but talking somewhat similarly about different things. This better understanding of this difference in these philosophies opens a route for our better understanding of their unique contributions in the ongoing dialogue of philosophy. (shrink)

In a recent symposium a hardy, perennial topic has come once again to occupy the centre of the philosophical stage. The contemporary discussions of meaning and reference, of the philosophical relevance of logical categories, of the grounds for induction, all eventually come to focus upon what a mediaeval philosopher, were he to return, would immediately recognize—not without some quiet satisfaction—to be that complex cluster of difficulties he was wont to classify as “the problem of universals”. The participants in the (...) symposium were chosen with the three-way mediaeval division between Platonic realists, nominalists and Aristotelian realists in mind, one outstanding contemporary representative of each view being sought. This was probably a mistake, since the modern debate has really followed along rather different lines. The present situation of the problem within the philosophy of nature is altogether different from that prevailing in logic. However, the tripartite division does have some relevance in grouping writers on semantics, and it was from among these that the speakers were chosen. (shrink)

According to the broadly Aristotelian distinction between universals and particulars, all and only the former are capable of whole multiple location. The present essay defends this distinction against four putative counterexamples. The first two, extended simple material objects and enduring time-traveling self-meeters, putatively are wholly multiply locatable, but not universals. The second two, unique properties of point-sized entities and Platonic (i.e., not spatiotemporally located) universals, putatively are universals, but not wholly multiply locatable. The defensive strategy (...) is to resist certain presuppositions underlying the examples. (shrink)

This is a study, in two volumes, of one of the longest-standing philosophical problems: the problem of universals. In volume I David Armstrong surveys and criticizes the main approaches and solutions to the problems that have been canvassed, rejecting the various forms of nominalism and 'Platonic' realism. In volume II he develops an important theory of his own, an objective theory of universals based not on linguistic conventions, but on the actual and potential findings of natural science. (...) He thus reconciles a realism about qualities and relations with an empiricist epistemology. The theory allows, too, for a convincing explanation of natural laws as relations between these universals. (shrink)

Today it would be considered "bad Platonic metaphysics" to think that among all the concrete instances of a property there could be a universal instance so that all instances had the property by virtue of participating in that concrete universal. Yet there is a mathematical theory, category theory, dating from the mid-20th century that shows how to precisely model concrete universals within the "Platonic Heaven" of mathematics. This paper, written for the philosophical logician, develops this category-theoretic treatment (...) of concrete universals along with a new concept to abstractly model the functions of a brain. (shrink)

After setting up the classic Platonic doctrine of universals, Zabeeh reviews the Aristotelian and British empiricist attacks on this doctrine, and the doctrine of general ideas. Zabeeh's own "new" look consists in a reworking of many currently familiar ideas to come up with the position that universals are the meanings of general terms and the meanings of general terms are the way in which they are used. While this may do as the start of a semantical theory (...) of universals, it hardly touches the problem of their ontological status. The same basic semantical theory is compatible with realism, conceptualism, or nominalism, as Carnap has shown. Page 33 belongs in place of page 34, page 34 in place of page 32.—E. A. R. (shrink)

This paper focuses on the possibility of conceiving a form of ontological nihilism, starting from D. M. Armstrong’s combinatorialism. This possibility has been suggested by Efird and Stoneham, by means of proposing an alternative strategy to the ‘subtraction argument’. They claim that it is possible to sustain such nihilism trough the concepts of construction and totality state of affairs. However, this hypothesis will require the acceptance of non-instanciated universals, that is, platonic universals. Yet this is opposite to (...) requirements that are basic for a combinatorial theory, which should uphold that universals exist only in their instantiations. Then, the assumption of platonic universals results in high costs for a combinatorial naturalism, according to which only exists what is located in space and time. (shrink)

This paper focuses on the possibility of conceiving a form of ontological nihilism, starting from D. M. Armstrong’s combinatorialism. This possibility has been suggested by Efird and Stoneham, by means of proposing an alternative strategy to the ‘subtraction argument’. They claim that it is possible to sustain such nihilism trough the concepts of construction and totality state of affairs. However, this hypothesis will require the acceptance of non-instanciated universals, that is, platonic universals. Yet this is opposite to (...) requirements that are basic for a combinatorial theory, which should uphold that universals exist only in their instantiations. Then, the assumption of platonic universals results in high costs for a combinatorial naturalism, according to which only exists what is located in space and time. (shrink)

This paper focuses on the possibility of conceiving a form of ontological nihilism, starting from D. M. Armstrong’s combinatorialism. This possibility has been suggested by Efird and Stoneham, by means of proposing an alternative strategy to the ‘subtraction argument’. They claim that it is possible to sustain such nihilism trough the concepts of construction and totality state of affairs. However, this hypothesis will require the acceptance of non-instanciated universals, that is, platonic universals. Yet this is opposite to (...) requirements that are basic for a combinatorial theory, which should uphold that universals exist only in their instantiations. Then, the assumption of platonic universals results in high costs for a combinatorial naturalism, according to which only exists what is located in space and time. (shrink)

This is a study, in two volumes, of one of the longest-standing philosophical problems: the problem of universals. In volume I David Armstrong surveys and criticizes the main approaches and solutions to the problems that have been canvassed, rejecting the various forms of nominalism and 'Platonic' realism. In volume II he develops an important theory of his own, an objective theory of universals based not on linguistic conventions, but on the actual and potential findings of natural science. (...) He thus reconciles a realism about qualities and relations with an empiricist epistemology. The theory allows, too, for a convincing explanation of natural laws as relations between these universals. (shrink)

Instead of the half-century old foundational feud between set theory and category theory, this paper argues that they are theories about two different complementary types of universals. The set-theoretic antinomies forced naïve set theory to be reformulated using some iterative notion of a set so that a set would always have higher type or rank than its members. Then the universal u_{F}={x|F(x)} for a property F() could never be self-predicative in the sense of u_{F}∈u_{F}. But the mathematical theory of (...) categories, dating from the mid-twentieth century, includes a theory of always-self-predicative universals--which can be seen as forming the "other bookend" to the never-self-predicative universals of set theory. The self-predicative universals of category theory show that the problem in the antinomies was not self-predication per se, but negated self-predication. They also provide a model (in the Platonic Heaven of mathematics) for the self-predicative strand of Plato's Theory of Forms as well as for the idea of a "concrete universal" in Hegel and similar ideas of paradigmatic exemplars in ordinary thought. (shrink)

Although St. Albert the Great is known for his assimilation of Aristotle’s thought, he holds Plato in high regard. Yet Aristotle largely guides Albert’s understanding of Plato and Aristotelian criticism against him is repeated along Albert’s work. The objections raised in the first book of the Metaphysics are especially recurrent. Therefore to study Albert’s commentary on such objections in some detail, as we do in these pages, has considerable interest. Criticism against Plato focuses on his conception of the universal and (...) the separation of ideas. Moreover, Albert assimilates several platonic doctrines because, like many other Christian authors, he sees in the Timaeus a metaphysical approach, which is susceptible to be combined with his faith. Albert also believes to find a substantial agreement between the views of Plato and Aristotle at various points, including the question of form, despite differences in their expositions. (shrink)

This volume examines the historical end of the Platonic tradition in relation to creation theories of the natural world through the Neoplatonist philosopher Proclus' (412-485) elaboration of an investigation of Plato's theory of metaphysical archetypal Forms. Proclus proceeds to a systematic construction of this theory and grounds it in ontological monism. He presents the Forms as constructing, through their combinations, the presuppositions for the creation of the natural world, in such a way that it functions in an orderly and (...) harmonious way, showing the natural world is not produced by chance or means of automatizations, but on the basis of a teleological planning. This volume also reflects Proclus' dealing with the topics of objective reality and the nature of the "universals.". (shrink)

In this paper, I explore the origins of the ‘problem of universals’. I argue that the problem has come to be badly formulated and that consideration of it has been impeded by falsely supposing that Platonic Forms were ever intended as an alternative to Aristotelian universals. In fact, the role that Forms are supposed by Plato to fulfill is independent of the function of a universal. I briefly consider the gradual mutation of the problem in the Academy, (...) in Alexander of Aphrodisias, and among some of the major Neoplatonic commentators on Aristotle, including Porphyry and Boethius. (shrink)

Firstness is the most neglected of Peirce’s categories, and is frequently held to be either elusive or inherently inconsistent. Yet, one’s implicit understanding of Firstness guides the kind of interpretation given to a wide range of his philosophy. From the starting point of his account of qualia in perceptual awareness, Firstness can be seen to be a consistent category which indicates that reality is qualitatively rich, but that its qualitative richness indicates not a realm of sense universals or any (...) sort of determinate repeatables but rather a realm of diverse and somewhat indefinite qualitative stimuli. There emerges from Peirce’s epistemic/phenomenal characterization of Firstness in perception a metaphysical category of Firstness which is neither a remnant of traditional conceptions of determinate repeatable qualities, nor a remnant of traditional conceptions of eternal Platonic possibilities. Rather, what emerges is a Firstness which attributes to reality precisely those characteristics most antithetical to such traditional conceptions. Firstness in this sense not only underlies Peirce’s radical rejection of foundationalist-antifoundationalist alternatives in epistemology, but also anticipates his rejection of the ontological alternatives offered by a tradition of substance metaphysics. (shrink)

This paper argues that the Problem of Universals as derived from Plato, i.e. the question of how abstract universal knowledge is possible and what that knowledge is of, is at the center of Phenomenology. It will be shown how Husserl’s answer to this question, via phenomenological epoche and eidetic variation, orients him primarily within the field of modern philosophy and is open to the standard criticisms of universal knowledge and abstraction offered by Hume and Berkeley. Heidegger, in more overtly (...) recognizing the origin of the problem in Plato and orienting phenomenology directly in relation to the Platonic answer to that problem, is able to achieve a clarity about the modern prejudices of philosophy and so is able to reinvent phenomenology free from the distortions of an unquestioned metaphysics of presence and assumption of the necessity of structure grounded in an unrecognized substance ontology. (shrink)

While Hermann Lotze's philosophy was widely received all over the world, his views on abstraction and Platonic ideas are of particular interest because they were to a large extent adopted by one of the most eminent philosophers of the twentieth century, namely Edmund Husserl. In this paper these views are examined in three distinct aspects. The first of these aspects is to be found in Lotze's thesis that there is a mental process, prior to abstraction, whereby "first universals" (...) are apprehended. The second one lies in his view that there is yet a higher level of apprehension, as found in the process of abstraction itself. According to Lotze, abstraction is not to be identified with the mere removal of particular features, but rather the replacement of these with first universals, resulting in "general images" and ultimately concepts. In addition to Lotze's analysis of the cognition of universals, there is finally a third thesis (an ontological one) which is examined in this paper, namely that the universals are Platonic Ideas in the sense that they have "validity" (Geltung) independently of their corresponding particulars and also of the mind which grasps them. The three claims in question are examined here in detail. Also, an attempt is made to point out some of the connections between Lotze and Husserl on the topic under discussion. (shrink)

This chapter contains sections titled: Criteria Used for the Concept of the Universal Some Conceptual Barriers to Early Grasp of the Universal Empedocles: Formulae for Compounds; Biological Forms; Type‐Identities across Cycles Philolaus: Genus, Species, and the Relation to Particulars Democritus: An Infinity of Atomic Types, Atomic Tokens Comments by Democritus on the Universal Democritus and Aristotle: Origins of the Type–Token Distinction Democritus and Plato Bibliography.

With the growing interest in Renaissance studies, it is gratifying to see a major scholarly work on a little known philosopher of the Averroistic trend of Aristotelianism that had its seat in his native city of Bologna. Matsen’s study, whose first draft was submitted as a doctoral dissertation at Columbia University, opens with a summary presentation of Alessandro Achillini’s life and works based on archival documents and other first-hand sources. The body of the work focuses on two major themes: the (...) theory of universals and the concept of transcendentals. All students of philosophy are aware of the importance attached to the problem of universals by medieval schoolmen and the consequences that their solution had on their systems of philosophy. It is likewise known that the meaning and value of such transcendental concepts as being, unity, truth, goodness, and the like played a substantial role in the shaping of medieval metaphysics built mainly along Platonic and Aristotelian lines. The fact that a Renaissance man like Achillini carried on the discussion of both topics to such a degree as to devote an entire Quaestio to the study of universals and the first part of his De distinctionibus to the analysis of the transcendentals, shows, among other things, the extent to which Renaissance thought is indebted to medieval philosophy. What is less known, however, is the impact that William of Ockham, whose influence was felt throughout the entire fourteenth and fifteenth centuries, has also had on Renaissance thinkers, and especially on Achillini. A comparison between Ockham’s position on the nature of both the universals and the transcendentals has led Matsen to conclude that there is a striking similarity of view between Ockham and Achillini on many important issues and that the latter was the principal cause of the revival of Ockhamism at Bologna around 1500. (shrink)

Dans la Delphes de l’époque protobyzantine, l’expression artistique et artisanale fait preuve d’une vive interaction entre les Delphiens et leurs homologues de villes proches ou lointaines. La céramique locale plus précisément, bien étudiée et circonscrite dans le temps, couvre un large éventail de produits de bonne qualité, déjà au ive s. de n. è., mais surtout aux vie et viie s. Quant à la céramique importée, amphores, lampes, sigillées et céramique peinte sont examinées ici pour la première fois en détail, (...) dans le souci de compléter l’image des objets en terre cuite utilisés dans cette ville moyenne de la Grèce Centrale. Les rapports commerciaux entre Delphes et certaines autres villes de la péninsule grecque et des îles y sont étudiés, en même temps que la présence dans toutes ces villes des grandes productions méditerranéennes. Cette étude nous permet d’inscrire Delphes dans un cadre commercial précis, la rapprochant des villes de la Grèce Centrale et du Péloponnèse où les produits africains l’emportent sur les importations micrasiatiques. (shrink)

Le prophète Balaam.--M. Hauriou collectiviste malgré lui.--Sombart contre Marx.--La méthode de M. Hauriou et ses mérites.--Le cas de M. Duguit --La sirene évolutionniste.--La nécessité du droit naturel.

"The unexamined life is not worth living." Socrates's ancient words are still true, and the ideas sounded in Plato's Dialogues still form the foundation of a thinking person's education. This superb collection contains excellent contemporary translations selected for their clarity and accessibility to today's reader, as well as an incisive introduction by Erich Segal, which reveals Plato's life and clarifies the philosophical issues examined in each dialogue. The first four dialogues recount the trial execution of Socrates--the extraordinary tragedy that changed (...) Plato's life and so altered the course of Western though. Other dialogues create a rich tableau of intellectual life in Athens in the fourth century B.C., and examine the nature of virtue and love, knowledge and truth, society and the individual. Resounding with the humor and astounding brilliance of Socrates, the immortal iconoclast, these great works remain powerful, probing, and essential. (shrink)

Seit 1923 erscheinen in der Sammlung Tusculum ma gebende Editionen griechischer und lateinischer Werke mit deutscher bersetzung. Die Originaltexte werden zudem eingeleitet und umfassend kommentiert; nach der neuen Konzeption bieten schlie lich thematische Essays tiefere Einblicke in das Werk, seinen historischen Kontext und sein Nachleben. Die hohe wissenschaftliche Qualit t der Ausgaben, gepaart mit dem leserfreundlichen Sprachstil der Einf hrungs- und Kommentarteile, macht jeden Tusculum-Band zu einer fundamentalen Lekt re nicht nur f r Studierende, die sich zum ersten Mal einem (...) antiken Autor n hern, und f r Wissenschaftler, die spezifische Aspekte eines Werkes vertiefen m chten, sondern f r alle, die sich durch vertrauensw rdige bersetzungen einen Zugang zur Antiken Welt verschaffen wollen. In der Reihe wurden bisher ber 270 Titel publiziert, alle erh ltlich als Buch und eBook. Dadruch werden bislang vergriffene Titel und Rarit ten wieder vollst ndig verf gbar gemacht. Zus tzlich zu der Buchreihe erscheint bei De Gruyter zum 90-j hrigen Jubil um das eBook-PaketTusculum Online, eine digitale Sammlung aller von 1923 bis 2013 erschienenen Titel -eine geb hrende W rdigung eines wichtigen St cks deutscher Verlagsgeschichte. Mehr Informationen rund um Tusculum erhalten Sie unter: www.degruyter.com/tusculum. (shrink)

In Metaphysics M.2, 1077a9-14, Aristotle appears to argue against the existence of Platonic Forms on the basis of there being certain universal mathematical proofs which are about things that are ‘beyond’ the ordinary objects of mathematics and that cannot be identified with any of these. It is a very effective argument against Platonism, because it provides a counter-example to the core Platonic idea that there are Forms in order to serve as the object of scientific knowledge: the universal (...) of which theorems of universal mathematics are proven in Greek mathematics is neither Quantity in general nor any of the specific quantities, but Quantity-of-type-x. This universal cannot be a Platonic Form, for it is dependent on the types of quantity over which the variable ranges. Since for both Plato and Aristotle the object of scientific knowledge is that F which explains why G holds, as shown in a ‘direct’ proof about an arbitrary F (they merely disagree about the ontological status of this arbitrary F, whether a Form or a particular used in so far as it is F), Plato cannot maintain that Forms must be there as objects of scientific knowledge - unless the mathematics is changed. (shrink)

A study of the topography of Delphi in late antiquity in concert with a study of the pottery, chiefly discovered during recent excavations, casts decisive light on a period in the sites history that is little known and largely ighored in the bibliography. Delphi thus appears as provincial town of moderate size, but more extensive than in previous periods, especially towards the west. The sacred area was transformed into an urban area and the most imposing buildings, public and private, were (...) regrouped around the sanctuary enclosure. The stratigraphie data and the finds, both ceramic and other, indicate a life that was rather calm and comfortable until the last quarter of the 6th c, then an interruption followed by a resumption of activities until the first quarter of the 7th c, when the town was abandoned by its inhabiants. Several types of pottery were made on the spot, evidenced by the discovery of a potter's kiln, refuse dumps, moulds and wasters. (shrink)