Was ist Natur oder was könnte sie sein? Diese und weitere Fragen sind grundlegend für Naturdenken und -handeln. Das Lehr- und Studienbuch bietet eine historisch-systematische und zugleich praxisbezogene Einführung in die Naturphilosophie mit ihren wichtigsten Begriffen. Es nimmt den pluralen Charakter der Wahrnehmung von Natur in den philosophischen Blick und ist auch zum Selbststudium bestens geeignet.

This book is a thesis submitted to the Faculty of Arts of the University of Utrecht. It was prepared under the supervision of Prof. Dr. H. Schultink. I would like to express my gratitude to him for his criticisms of earlier versions which led to many improvements, in particular with respect to the exposition of the argument. To my co-referent Dirk van Dalen, reader in the Department of Philo sophy (,Centrale Interfaculteit') of the University of Utrecht, I am greatly (...) indebted for his valuable and fruitful suggestions about problems relevant to both linguistics and logic. Several ideas developed in this study owe their present concrete form to our many discussions. This thesis originates in syntactic research into the Aspects carried out in 1967 under the supervision of Albert Kraak, professor at the University of Nijmegen, who ever since gave much attention to my work in progress. I am very grateful to him for his careful and stimulating criticism as well as for the continuous support he gave me during these years. The present study closely relates to the work of my colleague Wim Klooster with regard to both its theoretical framework and its subject matter. Our joint work on the measurement of duration in Dutch is an integral part of the argument. I have greatly profited from the numerous discussions we have had. (shrink)

How should we account for the contextual variability of knowledge claims? Many philosophers favour an invariantist account on which such contextual variability is due entirely to pragmatic factors, leaving no interesting context-sensitivity in the semantic meaning of ‘know that.’ I reject this invariantist division of labor by arguing that pragmatic invariantists have no principled account of embedded occurrences of ‘S knows/doesn’t know that p’: Occurrences embedded within larger linguistic constructions such as conditional sentences, attitude verbs, expressions of probability, comparatives, and (...) many others, I argue, give rise to a threefold problem of embedded implicatures. (shrink)

‘Know-that’, like so many natural language expressions, exhibits patterns of use that provide evidence for its context-sensitivity. A popular family of views – call it prag- matic invariantism – attempts to explain the shifty patterns by appeal to a pragmatic thesis: while the semantic meaning of ‘know-that’ is stable across all contexts of use, sentences of the form ‘S knows [doesn’t know] that p’ can be used to communicate a pragmatic content that depends on the context of use. In this (...) paper, the author argues that pragmatic invariantism makes inaccurate predictions for a wide range of well- known use data and is committed to attributing systematic pragmatic error to ordinary speakers. But pragmatic error is unprecedented, and it is doubtful that speakers are systematically wrong about what they intend to communicate. (shrink)

Surveys the ideals of friendship in ancient Greco-Roman philosophy. The notion of the best friendship inevitably reflects the various conceptions of a good life.

This third and final volume concludes Hermias' commentary on Plato's Phaedrus. Here, Plato delivers a celebrated critique of writing, and its relationship to orality. Hermias follows him, and adds a general account of good writing. In addition, this volume offers the first English translation of the brief Introduction to Hermogenes' On Styles, which manuscripts attribute-probably mistakenly-to Hermias' teacher Syrianus. Baltzly and Share discuss the Introduction's authorship and its relation to the genuine commentaries of Syrianus on the rhetorical treatises of Hermogenes. (...) They illuminate the relationship between philosophy and rhetoric in the Neoplatonic schools, and provide a novel explanation of Neoplatonic commentaries as performances of Platonic literacy in ancient elite education. This translation offers novel evidence of interest for students of ancient philosophy, rhetorical education, and literature more broadly. It is accompanied by explanatory notes, an introduction, and scholarly apparatus, including indices, glossaries, and bibliography. (shrink)

This has been available under Teaching Materials, but items in that category are not easily located, so I have added it here. This short dialogue can be used to introduce students to the core claims of Stoic moral philosophy and to position Stoic moral philosophy in relation to its ancient alternatives: Cynicism, Epicureanism, and Peripatetic thought. The dialogue form is meant to make this fun and easy. -/- This little dialogue may also be of interest to readers who have encountered (...) various popular books on "How to Stoic". Such readers should know that Stoicism is a school of _philosophy_. The Stoics themselves would not recommend that you try to Stoic Yourself unless and until you were convinced of the _truth_ of the central claims of the school -- a truth that the ancient Stoics sought to establish by _arguments_. To treat Stoicism simply as self-help, without due regard to whether its central claims can be shown to be true, would be to treat those ancient philosophers with contempt. (shrink)

The Platonic dialogues contain passages that seem to point in quite opposite directions on the question of the moral equality of women with men. Rep. V defends the view that sexual difference need not be relevant to a person’s capacity for philosophy and thus for virtue. Tim. 42a-c, however, makes incarnation in a female body a punishment for failure to master the challenges of embodiment. This paper examines the different ways in which two subsequent Platonists, Proclus (d. 485 CE) and (...) Theodore of Asine (d. c. 360 CE), dealt with this tension. (shrink)

Plato’s Phaedrus is a dialogue of journeys, a tale of transitions. It begins with Socrates’ question, ‘Where to and from whence, my dear Phaedrus?’ and concludes with the Socrates’ decision, ‘Let’s go’ (sc. back into the city from whence they’ve come). In the speech that forms its centre-piece Socrates narrates another famous journey—the descent of the soul into the body and its reascent to the realm of Forms through erotic madness. It is not too implausible to suppose that Plato himself (...) saw fit to relate his powerful images of the human soul’s fall and re-ascent by dramatic means that highlight the movement from one place to another. This explains how Hermias of Alexandria -- author of the longest sustained work on the Phaedrus to survive from antiquity related the physical journey to the Ilissus to the soul's descent and ascent. This seemingly implausible allegorising gains a certain kind of sense when we consider that the Neoplatonic commentary tradition formed part of a philosophic way of life with an ethical telos. (shrink)

Plato's Tim. 90b1-c6 describes a pathway to the soul's salvation via the study of the heavens. This paper poses three questions about this theme in Platonism: 1. The epistemological question: How is the paradigmatic function of the visible heavenly bodies to be reconciled with various Platonic misgivings about the faculty of perception? 2. The metaphysical question: How can »assimilation« to the motions of bodies in the realm of Becoming provide for the salvation of souls when souls are »higher«- a mid-point (...) between Being and Becoming? 3. The psychological question: What can it mean for an incorporeal soul to utilise the motions of a body for an ethical and cognitive paradigm? And provides an account of how Proclus and some of his fellow Neoplatonists answered these questions. (shrink)

Lengthy review of the 2020 Brill Companion to Hellenistic Astronomy with special reference to Neoplatonism.

In this paper we look at two kinds of relations that give rise to reasons for action of a distinctive sort: friendship and erotic love. We argue that what is common to these different relations of affection is that the people in them exhibit dispositions toward mutual direction by one another and interpretation of one another (in a sense that we describe in detail below). This mutual responsiveness is, in part, a matter of responding to reasons that arise from the (...) relation of love or friendship. These reasons are frequently distinct from – and may be opposed to – normative reasons arising from prudence or even morality. Yet reasons of love are normative: they too may obligate us. They may make demands on us that conflict with our present desires and require considerable sacrifice. (shrink)

The author puts forward and defends a new argument for indirect realism called the argument from pain. The argument is akin to a well-known traditional argument to the same end, the argument from hallucination. Like the latter, it contains one premise stating an analogy between veridical perceptions and certain other states and one premise stating that those states are states of acquaintance with sense-data. The crucial difference is that the states that are said to be analogous to veridical perceptions are (...) pain-states instead of hallucinations. This difference makes the argument from pain immune to the standard objections against the argument from hallucination. (shrink)

In the present volume Proclus comments on the creation of the body of the universe in Plato's Timaeus.

It is widely supposed that Epicurus' identification of aponia (painlessness) and the absence of anxiety (ataraxia) yields as a consequence the claim that the most pleasant life is one that requires little in the way of resources or power. This paper argues that the remarks in Cicero which attempt to reconstruct Epicurus' reasons for thinking that aponia and ataraxia are the limit of pleasure are best interpreted if we suppose that the inference runs the other direction. Epicurus supposed that it (...) was a pre-theoretical constraint on any account of human happiness that it should be natural. Moreover, its naturalness means its in-principle availability to most humans. (shrink)

Later versions of Platonic ethics fit the frame of eudaimonism and specify a telos based on Theaetetus 176B and Timaeus 90A-D: 'likeness to god in so far as possible'. This paper examines the development of this idea from the middle Platonist Alcinous to the Neoplatonist Proclus. It examines the way in which Proclus makes this specification of human happiness a bit less "other worldy".

The commentary on Plato's Republic by Proclus (d. 485 CE), which takes the form of a series of essays, is the only sustained treatment of the dialogue to survive from antiquity. This three-volume edition presents the first complete English translation of Proclus' text, together with a general introduction that argues for the unity of Proclus' Commentary and orients the reader to the use which the Neoplatonists made of Plato's Republic in their educational program. Each volume is completed by a Greek (...) word index and an English-Greek glossary that will help non-specialists to track the occurrence of key terms throughout the translated text. The second volume of the edition presents Proclus' essays on the tripartite soul and the virtues, female philosopher rulers, and the metaphysics and epistemology of the central books of the Republic. The longest of the essays in Volume II interprets the nature and significance of the 'marriage number' whose miscalculation leads to the degeneration of the ideal city-state. (shrink)

In previous chapters, it has become clear that Proclus’ metaphysics is often relevant to human life. In this chapter, that relation is elaborated on in detail, starting from the notion of a ‘textual community’. In the first section, the author presents the Neoplatonic goal of human life, assimilation to the divine. In the second section, he elaborates the scale of virtues through which, according to Proclus, one may reach that assimilation. The third section is devoted to establishing the interesting hypothesis (...) that the philosophical curriculum was in fact considered a mystagogy, aimed at internalizing semantic associations and thereby acquiring the different virtues. In the last section the author turns to Proclus’ political philosophy, and specifically the analogical relation between the philosopher-ruler and the demiurge. (shrink)

In Plato’s dialogues we often find Socrates talking at length about poetry. Sometimes he proposes censorship of certain works because what they say is false or harmful. Other times we find him interpreting the poets or rejecting potential interpretations of them. This raises the question of whether there is any consistent account to be given of Socrates’ practice as a literary critic. One might think that Plato himself in the Ion answers the question that I have raised. Rhapsody, at least (...) in the Ion , is portrayed as the activity of interpreting and evaluating the works of the poets. At first glance at least, Plato seems to conclude that this activity cannot meet the standards of a τέχνη. Rhapsodes are divine madmen. Thus, there cannot be a systematic Platonic account of literary criticism because this activity is inherently irrational and, subsequently, not something that one could engage in in a systematic way, guided by a theory of any sort. In the first part of the paper I argue that the Ion does not simply consign the Interpretation of poetry to the irrational and, as a result, does not pose an obstacle to the possibility of a Platonic literary criticism. In the second part of the paper I turn to the task of finding an account of the purpose of reading poetry and strategies for fulfilling this purpose that make systematic sense of Socrates’ multifarious remarks about poetry. (shrink)

It is an axiom of late neoplatonic metaphysics that all things are in all, but in each in an appropriate manner (ὀικείως, ET 103). These manners or modes of being are indicated by adverbial forms such as παραδειματικῶς or εἰκονικῶς. Thus, for example, the Forms are in the World Soul in the mode of images, while the objects in the sensible realm below Soul are in it in the manner of paradigms (in Tim. II 150.27). Among the many modes of (...) being distinguished by Proclus we find existence ὁλικῶς and μερικῶς – in the manner of a whole and in the manner of a part. This paper investigates the nature and significance of these mereological modes of being. (shrink)

The longevity of Aristotelian natural science consists not so much in the fact that Aristotle’s solutions to puzzles were accepted by generations of philosophers, but by the fact that the presuppositions that made these puzzles look puzzling were. In what follows I consider some Neoplatonic responses to two puzzles that Aristotle poses in De Caelo Book 2, Chapter 12. Both Proclus and Simplicius rejected Aristotle’s solutions to the puzzles he posed. In one case, but not in the other, they also (...) reassessed the relative importance of the presuppositions that created the puzzle. (shrink)

The idea that there is a coherent and morally relevant concept of sexual perversions has been increasingly called into question. In what follows, I will be concerned with two recent attacks on the notion of sexual perversion: those of Graham Priest and Igor Primoratz. Priest’s paper is the deeper of the two. Primoratz goes methodically through various accounts of sexual perversion and finds difficulties in them. This is no small task, of course, but unlike Priest he does not attempt to (...) provide any diagnosis of why any attempt to analyse the concept of sexual perversion must fail. Priest argues that sexual perversion is an “inapplicable concept”: the presuppositions that would allow us to make sense of the notion have been rightly rejected. Without the theoretical backdrop of an Aristotelian moral teleology, we cannot provide a satisfactory account of sexual perversion, for only such a teleological world-view allows us to give some sense to the idea that a sexual practice might be morally wrong because it is unnatural. Priest surveys accounts of perversion that don’t appeal to any idea of unnaturalness and rejects them—rightly I believe. But, Priest argues, Aristotle’s own moral teleology is part and parcel of his wider views about purpose in nature. This natural teleology has been shown to be explanatorily superfluous. Though some sciences still talk of functions, this can be understood in terms of contributions to evolutionary survival. Though there is considerable disagreement about the details of the right account of function, all versions of this scientifically respectable teleology are morally neutral: it would not follow from the fact that homosexual intercourse does nothing to propagate the agents’ genetic material to future generations that it is therefore morally wrong. Here too I think Priest is right. He also considers what he calls “Aristotelian revivalism” in Roger Scruton’s account of sexual perversion. I think Priest sells Aristotelianism short. I have no interest in defending Scruton’s own understanding of the Aristotelian moral framework nor his particular account of sexual perversion. I shall, however, argue that Aristotelian moral philosophy provides a more useful framework for thinking about these issues than Priest implies, and attempt to defend an account of sexual perversion within the context of this framework. (shrink)

The purpose of this paper is to reconstruct Frege’s argument against the relativity of truth contained in his posthumous writing Logic from 1897. Two points are made. The first is that the argument is a performative version of the common objection that truth relativism is incoherent: it is designed to show that the assertion of the relativity of truth involves a performative incoherence, because the absoluteness of truth is a success condition for making assertions. From a modern point of view, (...) the central premise of the argument, that the successful making of assertions depends on the absoluteness of truth, is highly doubtful. The second point is that this premise can be made plausible within the framework of Frege’s conception of truth and assertion: it can be derived from his thesis that, in order to put something forward as true, we do not need the word ‘true’, but only the assertoric force. (shrink)

Translation and commentary on the only surviving sustained work on Plato's Phaedrus from antiquity.

In his commentary on Aristotle's Metaphysics, Alexander of Aphrodisias quotes from Aristotle's now-lost work On the Ideas -- his account of the arguments offered by Plato for the theory of Forms and his criticisms of those arguments. This paper considers one of these arguments, the Argument from Relatives (ta pros ti). It considers how Plato argued for Forms or Ideas such as the Large Itself, the Just Itself and so on and whether Plato supposed that there were Forms corresponding to (...) sortal terms like Man. (shrink)

Covers Essays 1 to 6 in Proclus' Commentary and includes a general introduction to the work as a whole.

Proclus' commentary on Plato's dialogue Timaeus is arguably the most important commentary on a text of Plato, offering unparalleled insights into eight centuries of Platonic interpretation. It has had an enormous influence on subsequent Plato scholarship. This edition offers the first new English translation of the work for nearly two centuries, building on significant recent advances in scholarship on Neoplatonic commentators. It provides an invaluable record of early interpretations of Plato's dialogue, while also presenting Proclus' own views on the meaning (...) and significance of Platonic philosophy. The present volume, the fifth in the edition, presents Proclus' commentary on the Timaeus, dealing with Proclus' account of static and flowing time; we see Proclus situating Plato's account of the motions of the stars and planets in relation to the astronomical theories of his day. The volume includes a substantial introduction, as well as notes that will shed new light on the text. (shrink)

I argue that relativists about aesthetic and other evaluative language face some of the same objections as non-naturalists in ethics. These objections concern the metaphysics required to make it work. Unlike contextualists, relativists believe that evaluative propositions are not about the relation in which things stand to certain standards. Nevertheless, the truth of such propositions would depend on variable standards. I argue that relativism requires the existence of states of affairs very different from other things known to exist. Furthermore, there (...) seems to be no convincing reason to postulate such entities. However, if they do not exist, then relativism leads to an error theory. That is unattractive, as relativism was meant to preserve the truth of many evaluative claims. (shrink)

This paper elaborates on relationalism about space and time as motivated by a minimalist ontology of the physical world: there are only matter points that are individuated by the distance relations among them, with these relations changing. We assess two strategies to combine this ontology with physics, using classical mechanics as example: the Humean strategy adopts the standard, non-relationalist physical theories as they stand and interprets their formal apparatus as the means of bookkeeping of the change of the distance relations (...) instead of committing us to additional elements of the ontology. The alternative theory strategy seeks to combine the relationalist ontology with a relationalist physical theory that reproduces the predictions of the standard theory in the domain where these are empirically tested. We show that, as things stand, this strategy cannot be accomplished without compromising a minimalist relationalist ontology. (shrink)

Aesthetic non-naturalism is the view that there are objective aesthetic truths that hold in virtue of sui generis facts. This view is seldom explicitly endorsed in philosophical aesthetics. I argue that many aestheticians should treat it as the view to beat, since (a) their commitments favour aesthetic realism, (b) non-naturalistic forms of aesthetic realism are particularly promising and (c) non-naturalists have reasonable answers to four important objections.

Vehicle externalism maintains that the vehicles of our mental representations can be located outside of the head, that is, they need not be instantiated by neurons located inside the brain of the cogniser. But some disagree, insisting that ‘non-derived’, or ‘original’, content is the mark of the cognitive and that only biologically instantiated representational vehicles can have non-derived content, while the contents of all extra-neural representational vehicles are derived and thus lie outside the scope of the cognitive. In this paper (...) we develop one aspect of Menary’s vehicle externalist theory of cognitive integration—the process of enculturation—to respond to this longstanding objection. We offer examples of how expert mathematicians introduce new symbols to represent new mathematical possibilities that are not yet understood, and we argue that these new symbols have genuine non-derived content, that is, content that is not dependent on an act of interpretation by a cognitive agent and that does not derive from conventional associations, as many linguistic representations do. (shrink)

Epistemic Contextualism is the view that “knows that” is semantically context-sensitive and that properly accommodating this fact into our philosophical theory promises to solve various puzzles concerning knowledge. Yet Epistemic Contextualism faces a big—some would say fatal—problem: The Semantic Error Problem. In its prominent form, this runs thus: speakers just don’t seem to recognise that “knows that” is context-sensitive; so, if “knows that” really is context-sensitive then such speakers are systematically in error about what is said by, or how to (...) evaluate, ordinary uses of “S knows that p”; but since it's wildly implausible that ordinary speakers should exhibit such systematic error, the expression “knows that” isn't context-sensitive. We are interested in whether, and in what ways, there is such semantic error; if there is such error, how it arises and is made manifest; and, again, if there is such error to what extent it is a problem for Epistemic Contextualism. The upshot is that some forms of The Semantic Error Problem turn out to be largely unproblematic. Those that remain troublesome have analogue error problems for various competitor conceptions of knowledge. So, if error is any sort of problem, then there is a problem for every extant competitor view. (shrink)

According to subjectivist views about a meaningful life, one's life is meaningful in virtue of desire satisfaction or feelings of fulfilment. Standard counterexamples consist of satisfaction found through trivial or immoral tasks. In response to such examples, many philosophers require that the tasks one is devoted to are objectively valuable, or have objectively valuable consequences. I argue that the counterexamples to subjectivism do not require objective value for meaning in life. I also consider other reasons for thinking that meaning in (...) life requires objective value and raise doubts about their strength. Finally, I argue that beauty is not plausibly objective, but that it seems important for meaning. This puts pressure on the objectivist to explain why objectivity matters in the case of other values. (shrink)

In his book Slaves of the Passions, Mark Schroeder defends a Humean theory of reasons. Humeanism is the view that you have a reason to X only if X‐ing promotes at least one of your desires. But Schroeder rejects a natural companion theory of the weight of reasons, which he calls proportionalism. According to it, the weight of a reason is proportionate to the strength of the desire that grounds it and the extent to which the act promotes the object (...) of that desire. In this paper, I aim to do three things: (1) to show why Schroeder's arguments against proportionalism do not refute it; (2) to identify the real trouble with proportionalism; and (3) to suggest a better way of understanding it (preferentialism). According to this theory, the overall strength of reasons is determined by the agent's preferences. (shrink)

Gegen die verbreitete Vorstellung, dass Negativität im Interesse von mehr Selbstverwirklichung, Produktivität und Positivität überwunden oder be-grenzt werden muss, eröffnet dieser Band eine andere Perspektive. Er geht den verschiedenen Formen des Negativen in Kunst, Recht und Politik nach, um zu zeigen, dass es nicht allein eine Negativität gibt, die dem Gelingen im Weg steht oder zu dessen sicher beherrschtem Mittel wird. Die Beiträge des Bandes erweisen Negativität vielmehr als eine Kraft der Befreiung, die ein Gelingen anderer Art ermöglicht.

I first show how one might argue for a mind-independent conception of beauty and artistic merit. I then discuss whether this makes aesthetic judgements suitable to undermine skeptical worries about the existence of mind-independent moral value and categorical reasons.

Farbod Akhlaghi (2021) argues that noncognitivists and naturalists cannot explain the epistemic possibility of wholesale moral error. This would show that noncognitivism and naturalism are false. I argue that noncognitivists and naturalists have no trouble explaining the epistemic possibility of wholesale moral error and that the requirement to explain this possibility is plausible only on one particular conception of epistemic possibility.

Bart Streumer believes that the following principle is true of all normative judgements: When two people make conflicting normative judgements, at most one of them is correct. Streumer argues that noncognitivists are unable to explain why is true, or our acceptance of it. I argue that his arguments are inconclusive. I also argue that our acceptance of is limited in the case of instrumental and epistemic normative judgements, and that the extent to which we do accept for such judgements can (...) be explained by an assumption of shared standards of correctness. Finally, I argue that reductivists can appeal to the same ideas to defend their view that instrumental and epistemic normative judgements describe non-normative relations. (shrink)

In his recent book Slaves of the Passions , Mark Schroeder defends a Humean account of practical reasons ( hypotheticalism ). He argues that it is compatible with 'genuinely agent-neutral reasons'. These are reasons that any agent whatsoever has. According to Schroeder, they may well include moral reasons. Furthermore, he proposes a novel account of a reason's weight, which is supposed to vindicate the claim that agent-neutral reasons ( if they exist), would be weighty irrespective of anyone's desires. If the (...) argument is successful, it could help avoid an error-theory of moral language. I argue that it isn't, and that we should reject a Humean approach to reasons. (shrink)

Sharon Street argues that realism about epistemic normativity is false. Realists believe there are truths about epistemic reasons that hold independently of the agent’s attitudes. Street argues by dilemma. Either the realist accepts a certain account of the nature of belief, or she does not. If she does, then she cannot consistently accept realism. If she does not, then she has no scientifically credible explanation of the fact that our epistemic behaviours or beliefs about epistemic reasons align with independent normative (...) truths. I argue that neither horn is very sharp for realists about epistemic normativity. (shrink)

In the Phaedrus, Socrates insists that every proper logos must have the unity of an organic living thing. And yet it is hard to say what imposes any such unity on the various speeches and topics that are dealt with in this very dialogue. This chapter situates the view of Hermias of Alexandria in relation to modern debates about what, if anything, unifies the Phaedrus. For the ancient Neoplatonists, the question of unity was bound up with the question of each (...) dialogue's "skopos". We argue that Hermias' answer to this question -- that the skopos of the Phaedrus is 'beauty at every level' -- is not as wildly implausible as Neoplatonic readings of Plato's dialogues are often thought to be. (shrink)

Moral contextualism is the view that claims like ‘A ought to X’ are implicitly relative to some (contextually variable) standard. This leads to a problem: what are fundamental moral claims like ‘You ought to maximize happiness’ relative to? If this claim is relative to a utilitarian standard, then its truth conditions are trivial: ‘Relative to utilitarianism, you ought to maximize happiness’. But it certainly doesn’t seem trivial that you ought to maximize happiness (utilitarianism is a highly controversial position). Some people (...) believe this problem is a reason to prefer a realist or error theoretic semantics of morals. I argue two things: first, that plausible versions of all these theories are afflicted by the problem equally, and second, that any solution available to the realist and error theorist is also available to the contextualist. So the problem of triviality does not favour noncontextualist views of moral language. (shrink)

St. Thomas’s Third Way to prove the existence of God, “Of Possibility and Necessity” (ST 1, q.2, art. 3, response) is one of the most controverted passages in the entire Thomistic corpus. The central point of dispute is that if there were only possible beings, each at some time would cease to exist and, therefore, at some point in time nothing would exist, and because something cannot come from nothing, in such an eventuality, nothing would exist now—a reductio ad absurdum (...) conclusion. Therefore, at least one necessary being must exist. Generations of critics and defenders have contended over St. Thomas’s proof. This article argues that the principle of pros hen analogy is implicit in the Third Way and that once identified explains the ontological dependency of possible beings, as secondary analogates, on the first necessary being, as primary analogate. Thus, without the necessary being as primary analogate, possible beings simply could not exist. The fact that they do exist is evidence for the existence of the necessary being. St. Thomas makes synthesizes the principle of pros hen analogy, as found in Aristotle’s Metaphysics, with the Neoplatonic principle of participation. Aristotle develops pros hen analogy in contradistinction to univocal and equivocal predication as well as to genus in Metaphysics 4.2, 11.3, 12.3-5. Since Scotus and re-enforced by modern analytic logic, philosophers have almost universally regarded any kind of analogical predication as a sub-category of equivocal predication and, thus, implicitly occlude the possibility of considering pros hen analogy in their readings of the Third Way. Distinction of per se and per accidens infinite regress and of radical and natural contingency are also central to understanding the Third Way. While resolving apparent problems in the Third Way, the article also seeks to rehabilitate the doctrine of pros hen analogy as a basic principle in Thomistic and, indeed, Aristotelian metaphysics. (shrink)

In their recent paper on “Challenges in mathematical cognition”, Alcock and colleagues (Alcock et al. [2016]. Challenges in mathematical cognition: A collaboratively-derived research agenda. Journal of Numerical Cognition, 2, 20-41) defined a research agenda through 26 specific research questions. An important dimension of mathematical cognition almost completely absent from their discussion is the cultural constitution of mathematical cognition. Spanning work from a broad range of disciplines – including anthropology, archaeology, cognitive science, history of science, linguistics, philosophy, and psychology – we (...) argue that for any research agenda on mathematical cognition the cultural dimension is indispensable, and we propose a set of exemplary research questions related to it. (shrink)

This commentary records, through notes taken by Hermias, Syrianus' seminar on Plato's Phaedrus, one of the world's most influential celebrations of erotic beauty and love. It is the only Neoplatonic commentary on Plato's Phaedrus to have survived in its entirety. Further interest comes from the recorded interventions by Syrianus' pupils - including those by Proclus, his eventual successor as head of the Athenian school, who went on to teach Hermias' father, Ammonius. The second of two volumes of Hermias' commentary, the (...) chapters translated here begin with a discussion of how the discarnate soul is visualised as a winged chariot team whose charioteer may gain some glimpse of beauty itself, which can explain subsequent erotic longing. This volume provides a translation is accompanied by explanatory notes, an introduction detailing the significance and context of the treatise and a scholarly apparatus including multiple indexes, glossaries and a bibliography. (shrink)