Toward a theory of n-tuples of individuals and concepts as surrogates for Russellian singular propositions and singular concepts. Alonzo Church proposed a powerful and elegant theory of sequences of functions and their arguments as singular-concept surrogates. Church’s account accords with his Alternative (0), the strictest of his three competing criteria for strict synonymy. The currently popular objection to strict criteria like (0) on the basis of the Russell-Myhill paradox is misguided. Russell-Myhill is not a problem (...) specifically for Alternative (0). Rather it is a disproof of unrestricted concept comprehension. Unrestricted comprehension is also inconsistent with facts about sets of properties. It is demonstrated furthermore that the principal rival conception of propositions, as classes of possible worlds, is subject to a fatal philosophical collapse: It follows on that conception, given that each of us is fallible, that everyone believes everything. Although it is far superior to its principal rival conception, Church’s proposed theory is vulnerable under (0) to a version of Russell’s notorious Gray’s /Elegy/ objection. Some amendments to Church’s proposal are proffered that address Russell’s objection, including an amendment first proposed in the present author’s /Frege’s Puzzle/ (1986). Church’s response (personal correspondence) is considered. (shrink)

This paper is a new non-descriptivist defense of nonconceptualism based on a new interpretation of Kant’s metaphysics of concepts. We advance the following claim: What distinguishes non-conceptual from conceptual singular representations is the way partial representations of the object’s features are integrated into the whole representation of the object, while at the non-conceptual level, this integration takes the form of images of the object’s features that are stored and projected, at the conceptual level this integration takes the form (...) of the recognition that those features are properties of a same object, what Kant calls “synthetic unity of Aperception”. (shrink)

It has become popular of late to identify the phenomenon of thinking a singular thought with that of thinking with a mental file. Proponents of the mental files conception of singular thought claim that one thinks a singular thought about an object o iff one employs a mental file to think about o. I argue that this is false by arguing that there are what I call descriptive mental files, so some file-based thought is not singular (...) thought. Descriptive mental files are mental files for which descriptive information plays four roles: determines which object the file is about, if any, it sets limits on possible mistakes that fall within the scope of successful reference for the file, it acts as a ‘gatekeeper’ for the file, and it determines persistence conditions for the file. Contrary to popular assumption, a description playing these roles is consistent with the file-theoretic framework. Recognising this allows us to distinguish the notion of singular thought from that of file-thinking and better understand the nature and role of both. (shrink)

On the traditional relationalist conception of singular thought, a thought has singular content when it is based on an ‘information relation’ to its object. Recent work rejects relationalism and suggests singular thoughts are distinguished from descriptive thoughts by their inferential role: only thoughts with singular content can be employed in ‘direct’ inferences, or inferences that ‘trade on identity’. Firstly this view is insufficiently clear, because it conflates two distinct ideas—one about a kind of inference, the other (...) a kind of process that grounds inferences—under the title, ‘trading on identity’. Secondly, this leaves us without a notion that can be used as an alternative to relationalism about singular thought. The first notion is no more applicable to singular than to descriptive thought. The second may help us better understand singular thought, but does so, not by replacing the view that singular thoughts are information-based, but by helping us understand the nature of information-based thought. (shrink)

A tacit assumption in the literature devoted to singular thought is that singular thought constitutes a unitary phenomenon, and so a correct account of it must encompass all instances. In this essay, I argue against such a unitary account. The superficial feature of singularity might result from ver y different deep-level phenomena. Following Taylor (2010) and Crane (2013), I distinguish between the referential fitness and the referential success of a thought. I argue that facts responsible for referential fitness (...) (e.g., mental files or individual concepts), as well as facts responsible for referential success (e.g., acquaintance conditions on referential success), are relevant in explaining the data pertaining to a theory of singular thought. What makes this approach particularly attractive is that there are good independent reasons to introduce both kinds of facts in theorizing about thought. (shrink)

This article presents formal correspondences between the ontological and logical structures of Deleuze’s theory of sense-events in the Logic of Sense as a “post-Cantorian orientation of thought” (Livingston 2012), grappling with an essential incompleteness or inconsistency at the heart of both Being and thought, one which Deleuze champions positively under the equation Ungrounding = Becoming. Through it, Deleuze’s sometimes slippery use of the concept of singularity (and its relation to the virtual) is elaborated, elucidating a post-Cantorian metaphysics of events, distinct (...) from and preceding Badiou’s, that concretely defines the role of the singular in Deleuze’s early major works. (shrink)

The technological innovations of the Fourth Industrial Revolution have facilitated the formulation of strategies to transcend human limitations; strategies that are widely supported by the transhumanist philosophy. The purpose of this article is to explain the relationship between ‘transhumanism’ and ‘technological singularity’, to which end the Fourth Industrial Revolution and transhumanism are also briefly covered. Subsequently, the three main models of technological singularity are evaluated and a definition of this futuristic concept is offered. Finally, the author provides a reflection on (...) the relationship between technological singularity and the transhumanist philosophy, and concludes that they are not synonymous, but rather that the former is an eventuality that will allow the latter. (shrink)

The aim of this paper is to apply inductive logic to the field that, presumably, Carnap never expected: legal causation. Legal causation is expressible in the form of singular causal statements; but it is distinguished from the customary concept of scientific causation, because it is subjective. We try to express this subjectivity within the system of inductive logic. Further, by semantic complement, we compensate a defect found in our application, to be concrete, the impossibility of two-place predicates (for causal (...) relationship) in inductive logic. (shrink)

This paper has a narrow and a broader target. The narrow target is a particular version of what I call the mental-files conception of singular thought, proposed by Robin Jeshion, and known as cognitivism. The broader target is the MFC in general. I give an argument against Jeshion's view, which gives us preliminary reason to reject the MFC more broadly. I argue Jeshion's theory of singular thought should be rejected because the central connection she makes between significance and (...) singularity does not hold. However, my argument grants Jeshion's claim that there is a connection between significance and file-thinking. The upshot is not only that we have reason to reject Jeshion's significance constraint on singular thought, but that we have reason to question the connection made by MFC proponents between file-thinking and singularity. (shrink)

According to the singular conception of reality, there are objects and there are singular properties, i.e. properties that are instantiated by objects separately. It has been argued that semantic considerations about plurals give us reasons to embrace a plural conception of reality. This is the view that, in addition to singular properties, there are plural properties, i.e. properties that are instantiated jointly by many objects. In this article, I propose and defend a novel semantic account of plurals (...) which dispenses with plural properties and thus undermines the semantic argument in favor of the plural conception of reality. (shrink)

The chapter argues that radical contextuality, a hallmark theme of “postmodern” thought, is also a key element of Heidegger’s thinking. Aristotelian metaphysics, as the question of being qua being, looks for a universal principle common to every particular instance of “to be.” By contrast, the postmetaphysical approach gradually developed by Heidegger basically addresses being as the irreducible context-sensitivity and singularity of a meaningful situation, understood as a unique focal point of a dynamic and complex meaning-context. The fundamental ontology of Being (...) and Time (1927) articulates the temporally contextual structure of the human being as Dasein, culminating in the concept of the multidimensional singular instant (Augenblick). After the failure of his attempt to articulate the temporally contextual singularity of being in terms of its correlation with Dasein, Heidegger attempts an inverted approach: Contributions to Philosophy (1936–38) considers Dasein as the spatiotemporally situated place of the singular event (Ereignis) of being. The chapter finally suggests an interpretation of the fourfold (Geviert) of sky, earth, gods, and mortals, allusively introduced in the 1949 Bremen lectures, as Heidegger’s most elaborate account of the multidimensional structure that makes possible the contextual singularization of meaningfulness. (shrink)

A thesis I call the name-based singular thought thesis is part of orthodoxy in contemporary philosophy of mind and language: it holds that taking part in communication involving a proper name puts one in a position to entertain singular thoughts about the name’s referent. I argue, first, that proponents of the NBT thesis have failed to explain the phenomenon of name-based singular thoughts, leaving it mysterious how name-use enables singular thoughts. Second, by outlining the reasoning that (...) makes the NBT thesis seem compelling and showing how it can be resisted, I argue that giving up the NBT thesis is not a cost, but rather a benefit. I do this by providing an expanded conception of understanding for communication involving names, which sheds light on the nature of communication involving names and the structure of name-using practices. (shrink)

This book offers an original philosophical perspective on exemplarity. Inspired by Wittgenstein’s later work and Derrida’s theory of deconstruction, it argues that examples are not static entities but rather oscillate between singular and universal moments. There is a broad consensus that exemplary cases mediate between singular instances and universal concepts or norms. In the first part of the book, Mácha contends that there is a kind of différance between singular examples and general exemplars or paradigms. Every (...) example is, in part, also an exemplar, and vice versa. Furthermore, he develops a paracomplete approach to the logic of exemplarity, which allows us to say of an exemplar of X neither that it is an X nor that it is not an X. This paradox is structurally isomorphic to Russell’s paradox and can be addressed in similar ways. In the second part of the book, Mácha presents four historical studies that exemplify the ideas developed in the first part. This part begins with Plato’s Forms, understood as standards/paradigms, before considering Kant’s theory of reflective judgment as a general epistemological account of exemplarity. This is then followed by analyses of Hegel’s conceptual moment of particularity and Kuhn’s concept of paradigm. The book concludes by discussing the speculative hypothesis that all our knowledge is based on paradigms, which, following the logic of exemplarity, are neither true nor false. (shrink)

Frege’s rejection of singular reference to concepts is centrally implicated in his notorious paradox of the concept horse. I distinguish a number of claims in which that rejection might consist and detail the dialectical difficulties confronting the defense of several such claims. Arguably the least problematic such claim—that it is simply nonsense to say that a concept can be referred to with a singular term—has recently received a novel defense due to Robert Trueman. I set out Trueman’s (...) argument for this claim, identifying and remedying some omissions and errors of formulation therein. I then develop a response to the argument by showing, pace Trueman, that it is possible—and how it is possible—to express identities between objects and concepts. (shrink)

The initial one-third of the paper is devoted to exposing the first chapter (“Sense-Certainty”) of Hegel’s PHENOMENOLOGY OF SPIRIT as a thesis about reference, viz., that singular demonstrative reference is impossible. In the remainder I basically argue that such a view commits one to radically undermining our conceptions of space, time, and substance (concrete individuality), and rests on the central mistake of construing <this> on the model of a predicable (or property).

Spinoza’s concepts of wonder, the imitation of affects, cheerfulness, and devotion provide the basis for a Spinozist aesthetics. Those concepts from his Ethics, when combined with his account of rituals and festivals in the Theological-Political Treatise and his Political Treatise, reveal an aesthetics of social affects. The repetition of ritualised participatory aesthetic practices over time generates a unique ingenium or way of life for a social group, a singular style which distinguishes them from the general political body. (...) Ritual and the imitation of affects explain why specific styles of art are associated with consistent styles of bodily modifications, clothing, and affects. This paper claims, not that already similar people flock to the same art, but rather, that immersion in the same art is what produces their similarity. Art (especially in the immersive, festival-like experience of live performance) can generate the affect of devotion, which intensifies in-group love, temporarily blocks affects of sadness, and focusses one intently on the aesthetic experience due to devotion’s connection to wonder. Cheerfulness shows that, through variation of aesthetic objects, art can cause pleasure without risking excess. In addition, while politics’ central affect is sad fear, aesthetically-united groups are bound by joyful affects. (shrink)

This paper is a new non-descriptivist defense of non- conceptualism, based on a new interpretation of Kant’s metaphysics of concepts. We advance the following claim: What distinguishes non-conceptual from conceptual singular representations is the way partial representations of the object’s features are integrated into the whole representation of the object: while at the non-conceptual level this integration takes the form of images of the object’s features that are stored and projected, at the conceptual level this integration takes the (...) form of the recognition that those features are properties of a same object, what Kant calls “synthetic unity of Aperception”. (shrink)

I argue that there are no physical singularities in space–time. Singular space–time models do not belong to the ontology of the world, because of a simple reason: they are concepts, defective solutions of Einstein’s field equations. I discuss the actual implication of the so-called singularity theorems. In remarking the confusion and fog that emerge from the reification of singularities I hope to contribute to a better understanding of the possibilities and limits of the theory of general relativity.

The question of justice in Western philosophy finds its humble beginnings in the interplay of life and death. I am referring here to Plato’s Apology. The Apology is not only a text tracing the fate of the great philosopher Socrates by recounting his final speech before the judges of Athens, but it is also a text that, on a more subtle level, announces the advent of a promising justice that is birthed from death, or, to be more precise, from a (...) specific kind of death. Socrates, here, develops a justice that does not surge from the defence of one’s determination as a singular accused, or from the reconciliation of the criminal singularity into the ethical social body through pardon or punishment, but which rather derives from a negation, a radical annihilation of the category of pure singularity. Socrates does not defend himself as an accused who is determinately and definitively singular, but rather affirms the fact that, in some sense, there is no such singular to be defended, that he is not even one (οὐδείς), less than one, nothing. It is, precisely, in this affirmation of a negative, in this opening of a chasm, that a radically other conception of justice and its relation to the singular is subtly proposed. By pushing the singular to the margins of its possibility, by challenging, bending, pushing the question of the singular and its defence to its outmost limit, Socrates redeploys justice not as a remedying balance, but as the abysmal economy of the bottomless question, a fall into the void, in which life, death, the singular and justice co-incide to burst all definitive determination, substantial opposition and the possibility of establishing a firm ground for any such categories to hold as such. In gradually shedding off the substantial presuppositions of his singularity (knowledge, self-relation and relation to others), he unleashes a modality of the singular which deploys a kind of justice, a wholly other justice, which has shaken the tradition ever since, and, as this article will seek to show, reverberates again in what Jacques Derrida called deconstruction. (shrink)

It is a received view that Kant’s formal logic (or what he calls “pure general logic”) is thoroughly intensional. On this view, even the notion of logical extension must be understood solely in terms of the concepts that are subordinate to a given concept. I grant that the subordination relation among concepts is an important theme in Kant’s logical doctrine of concepts. But I argue that it is both possible and important to ascribe to Kant an objectual (...) notion of logical extension according to which the extension of a concept is the multitude of objects falling under it. I begin by defending this ascription in response to three reasons that are commonly invoked against it. First, I explain that this ascription is compatible with Kant’s philosophical reflections on the nature and boundary of a formal logic. Second, I show that the objectual notion of extension I ascribe to Kant can be traced back to many of the early modern works of logic with which he was more or less familiar. Third, I argue that such a notion of extension makes perfect sense of a pivotal principle in Kant’s logic, namely the principle that the quantity of a concept’s extension is inversely proportional to that of its intension. In the process, I tease out two important features of the Kantian objectual notion of logical extension in terms of which it markedly differs from the modern one. First, on the modern notion the extension of a concept is the sum of the objects actually falling under it; on the Kantian notion, by contrast, the extension of a concept consists of the multitude of possible objects—not in the metaphysical sense of possibility, though—to which a concept applies in virtue of being a general representation. While the quantity of the former extension is finite, that of the latter is infinite—as is reflected in Kant’s use of a plane-geometrical figure (e.g., circle, square), which is continuum as opposed to discretum, to represent the extension in question. Second, on the modern notion of extension, a concept that signifies exactly one object has a one-member extension; on the Kantian notion, however, such a concept has no extension at all—for a concept is taken to have extension only if it signifies a multitude of things. This feature of logical extension is manifested in Kant’s claim that a singular concept (or a concept in its singular use) can, for lack of extension, be figuratively represented only by a point—as opposed to an extended figure like circle, which is reserved for a general concept (or a concept in its general use). Precisely on account of these two features, the Kantian objectual extension proves vital to Kant’s theory of logical quantification (in universal, particular and singular judgments, respectively) and to his view regarding the formal truth of analytic judgments. (shrink)

My objective is a better comprehension of two theoretically fundamental concepts. One, the concept of a substance in an ordinary (non-Aristotelian) sense, ranging over such things as salt, carbon, copper, iron, water, and methane – kinds of stuff that now count as (chemical) elements and compounds. The other I’ll call the object-concept in the abstract sense of Russell, Wittgenstein, and Frege in their logico-semantical enquiries. The material object-concept constitutes the heart of our received logico / ontic system, still massively (...) influenced by Aristotle after almost 2.5 millennia. On such an account, the fundamentality of material objects and their attributes are the metaphysical basis of the cosmos, as reflected in our received logic, Quine’s ‘canonical notation’ – derived via the empiricism of Russell from Frege’s function-based Begriffschrifft, and consisting of concrete singular terms and variables, quantifiers and predicate-expressions. The inadequacy of Frege’s approach to understanding concepts is reflected in his initial question. Frege enquires of ‘what it is that we are calling an object’, remarking that he regards a regular definition as impossible: “we have here something too simple to admit of logical analysis”. The imagined ultimacy or simplicity of the idea of a single object (arithmetically, just a unit – one as against two, three, four, etc.) as foundational to the calculus is just that – imagined. It is also guaranteed to block the comprehension of the substance-concept. (shrink)

This paper explores the relationship between technological and human intelligence through ‘The New Natural’, a term which at once accepts the nature of technological intelligence as real instead of forever ‘artificial’. It supports an evolutionary, reciprocal relationship between humans and technology that culminates in technological singularity and rejects the primacy of human perception known to popular human access theories, before seriously considering the ‘decentered’ implications of posthuman access. In conversation with western-centric sci-fi film of the late twentieth century, then, this (...) philosophical study explores how the concept of a technology-only intelligence entity can: (1) help us dispose of the core problems often associated with human-only access, (2) neutral-ize our fears of human annihilation at the hands of technological intelligence, and (3) establish strong grounds for why we may have to push back against early conceptions of nature’s opposition to technology, if only so we may resist falling into the great, and most human-centered traps known to the Anthropocene. (shrink)

The article explains on the two-year experiment after the author’s finalization of dissertation. The thesis of the dissertation was hidden in the last chapter with analytical linguistics. It was done so with the fascist development of the Chinese Communist regime with neo- Nazi characteristics. Since numerous prior warnings on the political downshifts & coup d’état in China was willfully ignored by the university, the linguistic innovations in dissertation found a balance between multilateralism and outer space (security). The experiments were conducted (...) with a combination of physical unit analysis & thermonuclear dynamics analysis. It describes the experiment process in terms of gravitation as gravitational singularity and Bekenstein-Penrose singularity. Detailed research process is elaborated in the article concerning the sociopolitical interactions the research involved. (shrink)

Neither M. Walzer's collectivist conception of the "moral equality" of combatants, nor its antithetical individualist conceptions of responsibility are compatible with the ethos of military professionalism and its conception(s) of the responsibility of military professionals for service in an unjust war.

I explore the possibility that the feminine, like art, can be thought in terms of Jean-Luc Nancy’s concept of the singular plural. In Les Muses, Nancy claims that art provides for the rethinking of a technë not ruled by instrumentality. Specifically, in rethinking aesthetics in terms of the debates laid out by Kant, Hegel and Heidegger, he resituates the ontological in terms of the specificity of the techniques of each particular artwork; each artwork establishes relations particular to its world (...) or worlds. What is at stake in the singular plural is the multiplicity of relations that are lost in the unifying gestures that arise out of radical oppositions. I rethink the singular plural through a phenomenological encounter with Barb Hunt’s artwork, Antipersonnel, a collection of hand-knitted replicas of antipersonnel landmines. (shrink)

The article takes as its starting point the work of Tomas Kulka on Kitsch and Art to further a philosophical move aiming at the very logical core of the question of art. In conclusion, the idea of Singular Rule is offered as capturing the defining logic of art. In so doing, the logical structure of a singular rule is uncovered and in that also the sense in which the idea of singular rule both explains and justifies the (...) role that art plays in our life. In his Kitsch and Art Tomas Kulka extends Karl Popper's refutation principle in science to the arts. He asks of a true work of art to be open to “refutation” by way of evaluating it against its own admissible alterations or variations. An admissible alteration according to Kulka is a change or a modification of the work that does not “shatter its basic perceptual gestalt”. In considering alterations that are aesthetically better, worse or neutral with respect to the original picture, Kulka offers us a rational reconstruction of key aesthetics concepts such as unity, complexity and intensity. His reconstruction will show that a work of kitsch does not qualify as art in direct analogy to a proposition that cannot qualify as scientific if it is not refutable. Kitsch cannot be “refuted” by any of its possible alterations as they are all of equal aesthetic value. This explains the aura of empty perfectionism that accompanies the experience of kitsch since the work of kitsch does not carry any promise for improvement nor does it show itself superior to any of its possible alterations. Notwithstanding Kulka’s novel analysis, its premise we must note is grounded in the work of art impressing on us a single basic perceptual gestalt with respect to which an alteration can qualify as admissible. But in acknowledging the possibility of a gestalt-switch or the fact that the work of art can impress on us a variety of mutually-exclusive perceptual gestalts, Kulka's analysis loses the logical anchor necessary for it to work. However, in what might look at first sight as an unrecoverable logical deficiency, we find an anchor to a novel analysis to the question of art. This is our analysis to the idea of art as a singular rule. Indeed, the concept of a singular rule - a rule onto itself which has exclusively itself as its own argument - must strike us as paradoxical. But in offering to reconstruct the work of art through the complementary concepts of background and figure - to match respectively the how and the what of the work - we are able to provide a structural resolution to the idea of singular rule as what defines art. In this we believe we deliver a definitive answer to the question of art. (shrink)

This essay presents a heterodox reading of the issue of solipsism in Wittgenstein’s Tractatus Logico-Philosophicus, out of which the whole of the TLP can be re-read. Inspired by, though not dependent on, the themes of virtuality and singularity found in Deleuze’s ‘transcendental empiricism’, Wittgenstein’s concept of ‘logical space’ is here complexly related to the paradoxes of the ‘metaphysical subject’ and ‘solipsism,’ within which the strictures of sense are defined, and through which the logico-pictorial scaffolding of the TLP precipitates its own (...) systematic dissolution. It shows how nonsense envelopes not only not idle chatter, and metaphysical confusion, but sense itself. (shrink)

Castañeda, Perry and Lewis argued in the 1960’s and 1970’s that thoughts about oneself “as oneself” – de se thoughts – require special treatment, and advanced different accounts. In this paper I discuss Ernest Sosa’s approach to these matters. I first present his approach to singular or de re thought in general in the first section. In the second, I introduce the data that need to be explained, Perry’s and Lewis’s proposals, and Sosa’s own account, in relation to Perry’s, (...) Lewis’s, and his own views on de re thought. In the third section I present the account I prefer – a “token-reflexive” version of Perry’s original account that Perry himself came to adopt in reaction to Stalnaker’s criticisms. In the final section I take up Recanati’s recent arguments, from a viewpoint on de se thought very similar to Sosa’s, to the effect that such an account is in a good position to explain the phenomenon of immunity to error through misidentification. I argue there that that is not the case, and I conclude by suggesting that the token-reflexive account fits better both with the data and with Sosa’s Fregean take on de re thought in general. (shrink)

In What is Philosophy?, Deleuze and Guattari define philosophy, famously, as an activity that consists in forming, inventing, and fabricating concepts.” But this definition of philosophy implies a somewhat singular “analytic of the concept,” to borrow Kant’s phrase. One of the problems it poses is the fact that concepts, from a Deleuzian perspective, have no identity but only a becoming. This paper examines the nature of this problem, arguing that the aim of Deleuze analytic is to introduce (...) the form of time into concepts in terms of what he calls “continuous variation” or “pure variability.” The aim is not to rediscover the eternal or the universal, but to find the conditions under which something new is produced (creativeness). (shrink)

Linnebo in 2018 argues that abstract objects like numbers are “thin” because they are only required to be referents of singular terms in abstraction principles, such as Hume's principle. As the specification of existence claims made by analytic truths (the abstraction principles), their existence does not make any substantial demands of the world; however, as Linnebo notes, there is a potential counter-argument concerning infinite regress against introducing objects this way. Against this, he argues that vicious regress is avoided in (...) the account of arithmetic based on Hume's principle because we are specifying numbers in terms of the concept of equinumerosity, or its ordinal equivalent. But far from being only a matter for philosophy, this implies a distinct empirical prediction: in cognitive development, the principle of equinumerosity is primary to number concepts. However, by analysing and expanding on the bootstrapping theory of Carey in 2009, I argue in this paper that there are good reasons to think that the development could be the other way around: possessing numerosity concepts may precede grasping the principle of equinumerosity. I propose that this analysis of early numerical cognition can also help us understand what numbers as thin objects are like, moving away from Platonist interpretations. (shrink)

I discuss the view tentatively put forward by Recanati in Mental Files to turn two potentially contradictory claims compatible: the claim to the effect that acquaintance is a necessary condition of singular thought and the claim that we do entertain acquaintanceless singular thoughts (i.e. thoughts directed at particulars as particulars). Key to the proposal is a normative construal of the acquaintance constraint. I show the proposal as it stands is wanting, first, because the norm the users of descriptive (...) names are subject to has no (determinate) conditions of satisfaction within the framework ; second, because the kind of mental simulation involved in exploiting the norm in this type of case is misdescribed as a “local lapse into fiction” ; third, because it leaves the issue pertaining to the conditions of satisfaction of the acquaintance norm over time unaddressed. (shrink)

[In Czech] Merleau-Ponty’s analyses of the pathology of perception show “objective” and “subjective” events have sense for the living body only in relation to its whole equilibrium, that is, to how it organises itself overall and how it thus “meets” those events. If we apply this conception to Husserl’s example of two mutually-touching hands of one body we must then state not that we perceive here a coincidence of certain subjective sensations with certain objective qualities, but rather that my body, (...) in the sense of an object, results from the restructuralisation of the whole field of the body accomplished by the the body as the performer of perceptual intentions. The body-object, and for the same reasons also the body-subject, is therefore the product of the analysis of the body in the sense of a field of structuralisation or polarisation, not its original phenomenological “stratum”, as in Husserl. If the body understands itself as perceptible only by a change of its own structure, inasmuch as it is a certain field of structuralisation, then the "external” thing, which is likewise a pole of such grasping, must belong to the same ontological “field” as the body. Merleau-Ponty’s “flesh”, that is the circularity between questioning of perception and answering of the perceived, is thus a phenomenon appearing beyond the boundary of the body as a singular being. This fact allows the concept of flesh to be extended and to be understood as an “element”, that is, as a dimension in which individual beings appear. [In Czech language.]. (shrink)

Ordinary consciousness absorbed in natural life is unable on its own to go beyond its immediate existence. Only if it is somehow forced out of its complacency by something other than itself can it be raised beyond itself, such that this being torn from itself is its death — its negation. However, because consciousness is for itself its own Concept, it is immediately both Concept and object for itself. Thus its original immediacy (taken as object) is overcome or negated by (...) its own self. In this way it goes beyond or transcends its own immediate limited being. Therefore, by positing the singular individual, consciousness also posits an other-worldly beyond, which it may intuit from a spatial perspective as if they were existing alongside each other. Of course consciousness is not spatial and therefore such a perspective fails to grasp its true notion. It is only when consciousness turns upon itself — suffers violence at its own hands, that the Concept of consciousness can grasp its own self and thereby establish its truth. The path by which this self-critique of consciousness is accomplished is the science of consciousness. Because it is accomplished by rational introspection and direct experience it is also called the phenomenology of consciousness. (shrink)

In this study, I intend to show how and why, in the Port-Royal Logic, a singular term can reveal the nature of the logical judgment in the handbook. As I argue, the treatment given to one of thee singular terms, namely, the defined descriptions, in the terminology introduced by Russell, leads to an opening to langage that sounds unexpected and unjustified. Considering the privilege of thinking over langage and also that judgment is the mental act that defines logic, (...) however, we may understand how the authors regard langage, in relation to the epistemic constituents, namely, the mental acts within the terms. In doing so we are compelled to recognize the implications of this step towards pragmatism in fixing the meaning of defined descriptions to the nature of judgment in the handbook. This opening to langage reveals the conception of judgment as a twofold mental act: a formal and a practical (moral and theological) one. (shrink)

The endeavor of this proposal seeks to engage the intellect in a new perspective of Moral along those characteristic operations of human nature/faculties elucidated to periodically delineate -in accordance with a theoretical framework-, the evolutional outcome of four distinct sets of free willed actions capable of denoting the gradual advancement of conduct, herein deemed as the universal path to moral conduct. In addition, the distinctive particularities defining the singularities of their outcome were perceived to duly sustain the moral guidance that (...) the course of humanity has so far proved to so direly need. (shrink)

The Special Theory of Relativity (STR) holds sway as a theory of time due to its apparently successful predictive structure regarding time-related phenomena such as the increased life spans of mesons or retarded clocks on jets circling the globe, and due to the relativization of simultaneity intrinsic to this theoretical structure. Yet the very structure of the theory demands that such very real physical effects be construed as non-ontological. The scope and depth of this contradiction is explored and, if these (...) time-changes are indeed viewed as ontological effects within STR, an additional problem for the theory is introduced in the context of perception. The origins of this confused situation arise as a result of the fact that STR is an expression of a classical, spatial metaphysic – a framework that equally underpins current discussions of the hard problem. This metaphysic holds an inadequate concept of time and a failure to acknowledge the reality of simultaneous causal flows. These problems are developed against the background of an alternative, namely, the temporal metaphysic of Bergson – a framework that provides a profoundly different base for viewing both relativity and consciousness. (shrink)

Based on the presentation of a research framework (the shared work of teachers), this text uses an empirical approach to examine the hypothesis of a co-elaboration of the professional situation. To do so, the empirical investigation, based on the Goffman framework, analyzes the process of reconstructing a teaching session (reference situation) over the course of a pedagogical counselling session (support situation) characterized by interaction between a beginning teacher and a trainer. The invalidation of the hypothesis leads to a suggested conceptualization (...) of the professional situation combining definitional approaches (emphasizing the duality between its singularity and its genericity) and methodological approaches. -/- A partir de la présentation d’un cadre de recherche (le travail partagé des enseignants), ce texte soumet à l’empirie l’hypothèse de la co-élaboration de la situation professionnelle. Pour ce faire, en s’appuyant sur le cadre de Goffman, l’enquête empirique analyse le processus de reconstruction d’une séance d’enseignement (situation de référence) au cours d’une séance de conseil pédagogique (situation support) caractérisée par l’interaction entre une enseignante débutante et un formateur. L’invalidation de l’hypothèse débouche sur une proposition de conceptualisation de la situation professionnelle qui combine des approches définitoires (insistant sur la dualité entre sa singularité et sa généricité) et méthodologiques. (shrink)

Understanding Hegel's account of particularity has proven to be anything but straightforward. Two main accounts of particularity have been advanced: the particular as an example or instance and the particular as a subjective perspective on a universal concept. The problem with these accounts is that they reduce particularity either to singularity or to universality. As Derrida's analyses make apparent, the ‘structure of exemplarity’ in Hegel is quite intricate. Hegel uses ‘example’ in three senses: it means (1) ‘instance’, ‘illustration’, or (2) (...) ‘model’, ‘exemplary individual’, ‘paradigm’, or (3) a by-play (a meaning derived from Hegel's neologismbeiherspielen, in whichBeispielis understood quasi-etymologically as a ‘by-play’ of accidental moments). ABeispielin the first sense can be replaced by another instance in a free play (by-play). This play of accidental moments, however, is not entirely free; it generates a series (of replacements) that ultimately leads to an example in the second sense, to an exemplary individual. I argue that particularity can be taken as exemplarity of this kind, oscillating between a singular example and a universal paradigm. Within this by-play, the universal concept, its law, is supposed to be mediated and determined. However, out of the differences between the examples the by-play induces another law, the law of non-mediation, which may, in Derrida's view, actually negate the dialectical movement towards universality. I argue, utilizing Malabou's concept of plasticity, that this disruption may be recovered. This implies that each individual example within a series is a particular determination of the universal. Hence, we can take literally Hegel's claim that the movement of the concept is play. (shrink)

[In French]Both Patočka and Merleau-Ponty conceive the world not just as an Object, but rather as a field of an irreducible phenomenal and ontological depth. Patočka’s concept of movement and Merleau-Ponty’s concept of flesh are two concrete figures of this depth, and as such they are understood by the respective authors as that what stands at the origin of every singular being so far as it detaches itself on the ground of the world as an open totality. Nevertheless, the (...) position of the two concepts seems to be quite different in relation to the traditional categories of the metaphysics. We argue that Patočka’s concept of movement is profoundly rooted in, and dependent on, the classical oppositions, whereas Merleau-Ponty’s flesh makes it possible to understand them rather as abstractions produced by segregation from the original field of presence. In order to establish these points, we propose an interpretation of Patočka’s and Merleau-Ponty’s understanding of the concepts of horizon and world, and of course of those of movement and flesh. [In French.]. (shrink)

The paper explores the idea that some singular judgements about the natural numbers are immune to error through misidentification by pursuing a comparison between arithmetic judgements and first-person judgements. By doing so, the first part of the paper offers a conciliatory resolution of the Coliva-Pryor dispute about so-called “de re” and “which-object” misidentification. The second part of the paper draws some lessons about what it takes to explain immunity to error through misidentification. The lessons are: First, the so-called Simple (...) Account of which-object immunity to error through misidentification to the effect that a judgement is immune to this kind of error just in case its grounds do not feature any identification component fails. Secondly, wh-immunity can be explained by a Reference-Fixing Account to the effect that a judgement is immune to this kind of error just in case its grounds are constituted by the facts whereby the reference of the concept of the object which the judgement concerns is fixed. Thirdly, a suitable revision of the Simple Account explains the de re immunity of those arithmetic judgements which are not wh-immune. These three lessons point towards the general conclusion that there is no unifying explanation of de re and wh-immunity. (shrink)

Russell’s initial project in philosophy (1898) was to make mathematics rigorous reducing it to logic. Before August 1900, however, Russell’s logic was nothing but mereology. First, his acquaintance with Peano’s ideas in August 1900 led him to discard the part-whole logic and accept a kind of intensional predicate logic instead. Among other things, the predicate logic helped Russell embrace a technique of treating the paradox of infinite numbers with the help of a singular concept, which he called ‘denoting phrase’. (...) Unfortunately, a new paradox emerged soon: that of classes. The main contention of this paper is that Russell’s new conception only transferred the paradox of infinity from the realm of infinite numbers to that of class-inclusion. Russell’s long-elaborated solution to his paradox developed between 1905 and 1908 was nothing but to set aside of some of the ideas he adopted with his turn of August 1900: (i) With the Theory of Descriptions, he reintroduced the complexes we are acquainted with in logic. In this way, he partly restored the pre-August 1900 mereology of complexes and simples. (ii) The elimination of classes, with the help of the ‘substitutional theory’, and of propositions, by means of the Multiple Relation Theory of Judgment, completed this process. (shrink)

The main objective of this paper is to examine how theories of truth and reference that are in a broad sense Fregean in character are threatened by antinomies; in particular by the Epimenides paradox and versions of the so-called Russell-Myhill antinomy, an intensional analogue of Russell’s more well-known paradox for extensions. Frege’s ontology of propositions and senses has recently received renewed interest in connection with minimalist theories that take propositions (thoughts) and senses (concepts) as the primary bearers of truth (...) and reference. In this paper, I will present a rigorous version of Frege’s theory of sense and denotation and show that it leads to antinomies. I am also going to discuss ways of modifying Frege’s semantical and ontological framework in order to avoid the paradoxes. In this connection, I explore the possibility of giving up the Fregean assumption of a universal domain of absolutely all objects, containing in addition to extensional objects also abstract intensional ones like propositions and singular concepts. I outline a cumulative hierarchy of Fregean propositions and senses, in analogy with Gödel’s hierarchy of constructible sets. In this hierarchy, there is no domain of all objects. Instead, every domain of objects is extendible with new objects that, on pain of contradiction, cannot belong to the given domain. According to this approach, there is no domain containing absolutely all propositions or absolutely all senses. (shrink)

The notorious problem of the many makes it difficult to resist the conclusion that almost coincident with any ordinary object are a vast number of near-indiscernible objects. As Unger was aware in his presentation of the problem, this abundance raises a concern as to how—and even whether—we achieve singular thought about ordinary objects. This paper presents, clarifies, and defends a view which reconciles a plenitudinous conception of ordinary objects with our having singular thoughts about those objects. Indeed, this (...) strategy has independent application in the case of singular thoughts about other putatively ‘abundant’ phenomena, such as locations or lumps of matter. In essence, singular thought-vehicles need not express just one singular content. If there are many objects, one’s singular thought-vehicle may express as many thought-contents. (shrink)

The GOLEM XIV’s forecast for the development of the human civilisation and a typology of technological singularities: In the paper, a conceptual analysis of technological singularity is conducted and results in the concept differentiated into convergent singularity, existential singularity, and forecasting singularity, based on selected works of Ray Kurzweil, Nick Bostrom, and Vernor Vinge respectively. A comparison is made between the variants and the forecast of GOLEM XIV (a quasi-alter ego and character by Stanisław Lem) for the possible development of (...) Homo sapiens civilisation. According to the prediction, the scientific and technological progress is to bring humanity to transfer its civilisational primacy to a nonhuman superhuman intelligence xor a posthuman one. Both scenarios are best described by forecasting singularity, yet all variants are applicable only conditionally. As GOLEM did not undertake, the trajectories may also intersect or combine. (shrink)

Almost any mainstream reading about the nature of Kant's 'content of cognition' in both non-conceptualist and conceptualist camps agree that 'singular representations' (sensible intuitions) are, at least in some weak sense, objectdependent because they supervene on a manifold of sensations that are given through the disposition of our sensibility and parallel thus the real and physical components of the world (cf. McDowell 1996, Allison 1983, Ginsborg 2008, Allais 2009). The relevant class of sensible intuitions should refer, as they argue, (...) only to empirical and not to pure ones. Kant's transcendental argument creates, however, no implications as to the metaphysics of properties. Neither does he consider the world to be consisted of sensory content simpliciter nor do sensations refer to objects per se. Instead, he provides an all-encompassing pattern for sensible intuitions of any kind through the representation of space as a cognitive map in that an object can be represented if spatial properties are attributed to it. Sensible intuitions of any kind could be referring, that is to say, and can be conceptualized if they are spatial. Consequently and unlike the contemporary philosophy of perception, Kant contrasts sensible intuitions and pure concepts of understanding 'altogether' against one single experience, from which the justification of objects should proceed. In other words, what stands at the core of exposing the content of cognition concerns not the phenomenological status and actuality of sensible intuitions in the sense of 'bits of experiential intake', but the logical structure of possibility of sensible intuitions of any (external or internal) causal background. The aim of this discussion is to clarify that Kant's transcendental idealism mutatis mutandis reviews multiple and diverse kinds of 'data of mind' and cognition in the background, without reducing the content of cognition to metaphysically determined referents as 'matters of fact' and to pure concepts of understanding. Sensible intuitions in the sense of content of cognition vary, most importantly, from unstructured and unjustifiable data of mind including (physical) contents of perception and stuff of mind and also from reflective and intellectual intuitions that are the cognates of the structured complex singular representations. Put it in simple terms, Kant advocates the thesis that 'facts' are objects for concepts if they are already well-founded trough the cognitive map of the representation of space. -/- . (shrink)

Transhumanism introduces from its very beginning a paradigm shift about concepts like human nature, progress and human future. An overview of its ideology reveals a strong belief in the idea of human enhancement through technologically means. The theory of technological singularity, which is more or less a radicalisation of the transhumanist discourse, foresees a radical evolutionary change through artificial intelligence. The boundaries between intelligent machines and human beings will be blurred. The consequence is the upcoming of a post-biological and (...) posthuman future when intelligent technology becomes autonomous and constantly self-improving. Considering these predictions, I will investigate here the way in which the idea of human enhancement modifies our understanding of technological innovation. I will argue that such change goes in at least two directions. On the one hand, innovation is seen as something that will inevitably lead towards intelligent machines and human enhancement. On the other hand, there is a direction such as “Singularity University,” where innovation is called to pragmatically solving human challenges. Yet there is a unifying spirit which holds together the two directions and I think it is the same transhumanist idea. (shrink)

Like '&', '=' is no term; it represents no extrasentential property. It marks an atomic, nonpredicative, declarative structure, sentences true solely by codesignation. Identity (its necessity and total reflexivity, its substitution rule, its metaphysical vacuity) is the objectual face of codesignation. The syntax demands pure reference, without predicative import for the asserted fact. 'Twain is Clemens' is about Twain, but nothing is predicated of him. Its informational value is in its 'metailed' semantic content: the fact of codesignation (that 'Twain' names (...) Clemens) that explains what fact it asserts and why it is necessary. Critiques of concepts of rigidity and elimination of singular terms result. (shrink)

Gilles Deleuze’s research during the 1980s focused on the 17th century German thinker G. W. Leibniz. In 1988, Deleuze published Le Pli, which forms part of a series of works on modern philosophy. This book displays Deleuze’s attention to the interpretations of contemporary commentators on modern philosophy, in this case, on Leibniz. In this context, there occurred a brief and important dialogue between Deleuze and Christiane Frémont, the French commentator and translator of Leibniz, with regard to their respective interpretations of (...) the great German philosopher. This article intends to give an account of the main topics present in that conversation. Firstly, we can say they involve 1) the problem of body and the Leibnizian vinculum substantiale, 2) the question of singularities, 3) the principle of economy and incompossibility, and 4) the Deleuzian concept of vice-diction. Our hypothesis in this study is that the readings made by both authors of the German thinker are mutually involved. It is essential, in order to support this hypothesis, to make precise the demarcations of relations between such readings. For this reason, our research will focus on Frémont’s study Singularités, individus et relations dans le système de Leibniz (2003) and on Deleuze’s work Le Pli (1988). We hope to determine the topics that emerge in the relationship, and to specify convergences and divergences of interpretation. (shrink)

In 1739 Hume bequeathed a bold view of the self to the philosophical community that would prove highly influential, but equally controversial. His bundle theory of the self elicited substantial opposition soon after its appearance in the Treatise of Human Nature. Yet Hume makes it clear to his readers that his views on the self rest on respectable foundations: namely, the views of the highly regarded Irish philosopher, George Berkeley. As the author of the Treatise sees it, his account of (...) the self draws on Berkeley’s conception of language, especially his views on singular terms. But Hume, as impressed as he is with Berkeley’s account of language, deems it necessary to defend this view against possible criticism. In the process Hume modifies Berkeley’s views. My paper is a critical investigation of Hume’s defense of Berkeley on language and an attempt to highlight the extent to which Hume departs from the views of his Irish colleague. -/- . (shrink)

The concept of universal in Aristotle’s philosophy has several aspects. 1) Universal and plurality Aristotle posits universal (καθόλου) versus particular (καθ᾿ ἕκαστον) each covering a range of elements: some elements are universal while others are particulars. Aristotle defines universal as ‘that which by nature is predicated (κατηγορεῖσθαι) of many subjects’ and particular as ‘that which is not’ so. (OI ., I, 7, 17a38-b1) The plurality of possible subjects of universal is what Aristotle insists on. The inclusion of the notion of (...) ‘plurality’ in the definition of universal might make us expect to have ‘singularity’ in the definition of particular. So, when Aristotle says that universal is that which is naturally predicable of many subjects, we expect him to define the particular as ‘that which is predicable of one subject only.’ Nonetheless, Aristotle does not and indeed cannot define it this way. We cannot find a text in which he defines particular as such simply because particulars are not predicable of any subject unless we regard their predication of themselves a predication, which Aristotle does not, at least in a genuine sense. Thus, he defines a particular only negatively. Hence, the capability of predication of a plurality is indeed the capability of predication itself because the particular cannot be predicated of anything. A particular is that which cannot be predicated of anything (or: of anything else, if saying of a thing of itself is to be considered as predication). It is ‘numerically one’ and what of which the universal is predicated (Met., B, 999b34-1000a1). Those that cannot be predicated of anything, or particulars, are of two kinds: primary substances and individual accidents. Besides Categories we can hardly find a text where Aristotle discusses individual accidents maybe because they are of much less importance for him compared with substances. However, substances are what he mentions repeatedly so that we can confine particulars to substances. In fact, it is substance that Aristotle considers so repeatedly as what cannot be predicated. As the main particulars and individuals, substances are posited as the main things that are not universal. The closeness of the two concepts of ‘substance’ and ‘unpredicability’ is to the extent that he ignores individual accidents and makes these concepts equal and as the opposite of universal: ‘what is not predicated of a subject is said a substance (οὐσία λέγετα τὸ μὴ καθ᾿ ὑποκειμένου) but what is always said of some subject is called a universal.’ (Met., Z, 1038b15-16. cf. Met., B, 1003a7-9) Therefore, since particulars cannot be predicated of any subject and, thus, every predication is necessarily a predication of a plurality of subjects, the inclusion of ‘plurality’ in the definition of universal is either i) in the sense of ‘representation’ or it must be regarded as ii) an unnecessary addition mentioned just for clarification or iii) only for avoiding cases where something is predicated of itself. By the first we mean this: though a substance is not said of anything, it represents some one thing and there is some one thing that is that substance. A universal, on the other hand, can represent a plurality of things. There is, however, a third possibility that has no essential difference with the sense of representation. Aristotle might have ‘arbitrary predication’ in mind when he suses ‘plurality’ in the definition of universal: while a particular can be the arbitrary predicate of just one thing, a universal can be predicated, both really and arbitrarily, of many things. Whatever Aristotle’s intention was, what is important for our investigation is this: Aristotle uses the notion of plurality in the definition of universal in spite of the fact that it is not necessary. What this implies is that this notion is so important for Aristotle that albeit every predictability is a predictability of a possible plurality, he adds the notion of plurality. What makes this notion important, I believe, is that he has something like a class in mind when he defines a universal because the notion of plurality is indistinguishable from a class. 2) Universal and whole; particular and part In Aristotle, the concepts of universal and whole are so close: ‘That which is true of a whole class and is said to hold good as a whole (which implies that it is a kind of whole) is true of a whole in the sense that it contains many things by being predicated of each, and that each and all of them, e.g. man, horse, god, are one because all are living things (τὸ μὲν γὰρ καθόλου καὶ τὸ ὃλως λεγόμενον ὡς πολλὰ περιέχον τῷ κατηγορεῖσθαι καθ’ ἑκάστου καὶ ἓν ἃπαντα εἶναι ὡς ἑκαστον, ...). Phil Corkum points to Aristotle’s distinction between quantitative and integral wholes in Met., 5, 26, 1023b26-33 where a quantitative whole is called homoiomerous, as the sum of animal while an integral whole, e.g. a house, is called heteromerous. He links the notion of homoiomerous to the notion of indivisibility of individuals (in 1b6-9 and 3b10-18) and indivisibility of universals. He believes that in PrA., I, 4, 25b32-26a2 it is the transitivity of mereological containment that is discussed. 3) Universal is common between instances Universal is common (κοινόν) between all the plurality of subjects it can be predicated of because what belongs to more than one thing must be common between them. (Met., Z, 1038b10-12) In the Same way, what is common cannot be a particular and, thus, a substance. (Met., Z, 1040b23-24) An individual or substance is a ‘this’ and a ‘this’ cannot be what common indicates simply because it is here in ‘this’ and can be nowhere else while common must be common between several things. In fact, what can be indicated by a common is indeed a ‘such.’ (Met., B, 1003a7-9) 4) Universal is the same in its instances We have a universal i) in all of its instances and ii) in the same way (ταὐτὸ ἐπὶ πὰντων). (Met, Γ, 1005a9-10) While the first point is evident (otherwise how could it be their universal?), the second point might seem not only ambiguous but the cause of many problems. For Aristotle, therefore, a universal must be ‘one’ in number and not many. This numerically one universal is the very universal for all its instances. It is the same universal that is predicated on each of its instances. This sameness is not, however, a mere homonymous sameness or the sameness of a homonymous word. All these three points, namely oneness, sameness and rejection of mere homonymous sameness are asserted in Aristotle’s own words τι ἕν καὶ τὸ αὐτὸ ἐπὶ πλειόνων μη ὁμώνυμον. (PsA., A, 11, 77a8-9) This non-homonymous unity is asserted also in PsA., A, 24, 85b15-16. 5) Universal as predicate Contrary to substance that cannot be a predicate, universal is what cannot be prevented from being in the place of predicate. Therefore, Aristotle distinguishes universal from subject because while the latter must necessarily be capable of being a predicate, though it might take the position of subject as well, the latter does not necessarily have such a capability especially when it is a this because it cannot be a predicate in such a case: ‘For the subject and universal differ in being or not being a ‘this’; like man and body and soul are the subject of accidents while the accident is something like musical or white.’ (Met., Θ, 1049a27-30) This indicates that a universal is basically different from subject and although it can be posited in the place of subject, it is the position of predicate that is its position as a universal. In Metaphysics, Z, 13, Aristotle asserts that ‘no universal can be substance.’ The same is asserted in Met., I, 1053b16-17 cf. 1060b21. As James H. Lesher points out, Aristotle’s position is that ‘nothing predicated universally is a substance.’ 6) Universal in substance In Met., 10388b8-9 Aristotle says that no universal is a substance. While a universal cannot be a substance in the way essence (to ti en einai) is, it is, Aristotle asserts, ‘in’ it (ἐν τούτῳ δὲ ἐνυπάρχειν) (Met., Ζ, 1038b16-18). Aristotle’s examples are: animal in man and horse. A universal is ‘in’ the thing it is its universal. But in what sense a universal can be in a thing? It cannot be in it as ‘in a subject’, which is denied in Categories for secondary substances. If we check the senses of being in, we can find some other senses of ‘being in’ some of which are compatible with this sense of ‘being in.’ Michael J. Loux believes that contrary to his earlier works like Peri Ideaon and Organon in which the immanence of universals signals a reproduction of the platonic two worlds picture, in his later works like Physics and Metaphysics, when Aristotle tells us that universals are in particulars he means that they are ‘components of or ingredients in sensible particulars.’ In Metaphysics (Δ, 1014b3-9) Aristotle compares elements with universals and call them ‘the most universal things because elements are present either in all or in many things. 7) Logos is of universal Not only universals have logos (Met., Z, 1038b18-19) but ‘Every logos and every science is of universals and not of particulars.’ (Met., K, 1059b25-26) The reason is that they are the same: the logos of the unjiversal ‘circle’ is nothing but ‘being circle’ and the logos of the universal ‘soul’ is ‘being soul.’ (Met., Z, 1035b33-1036a2) The same is said about definition. (Met, Z, 1036a27-29) 8) Universal: in the soul Contrasting individuals, universals are in the soul (So., 3, 5, 417b22-23; cf. PsA., B, 19, 100a6-7). Aristotle also says that the form, i.e. the essence, of the artwork is in the soul. (met., Z, 1032a32-b2) Moreover, as Michael J. Loux points out, ‘the Peri Ideon tells us that we need universals to serve as the objects of noetic acts.’ 9) Universal: not beside individual In spite of the fact that demonstration creates the opinion that demonstrating is based on the existence of universals as existing among the existing things, they do not have existence besides individuals (PsA., A, 24, 85a31-35; Met, Λ, 1071a19-23). Aristotle believes that universals of a P-series (B203, 71) are not παρὰ τὰ εἴδη: 999a6ff. Also check De Anima, II, 3, 414b20-25 10) Primary or commensurate universal Aristotle distinguishes ‘πρῶτον καθόλού’ (PsA., B, 17, 99a33-35) literally meaning ‘primary universal’ but mostly, and truly, translated as commensurate universal. While a universal merely ‘μὴ ἀντιςτρέφει,’ a primary universal ‘ᾧ ἓκαςτον μὲν μὴ ἀντιςτρέφει’ (PsA., B, 17, 99a33-35). Aristotle mentions three conditions for a commensurate universal. It is an attribute that i) belongs to every instance of its subject (without exception!!!), and this belonging is ii) essentially and iii) qua that subject itself (ᾗ αύτό). (PsA., A, 4, 73b26-28) However, he insists that the second and the third conditions are indeed the same. (PsA., A, 4, 73b28-30) The first condition he paraphrases as ‘to belong to any random instance of that subject’ and the second and the third as ‘when the subject is the first thing to which it can be shown to belong.’ (PsA., A, 4, 73b32-74a3) Aristotle’s example is ‘the equality of its angles to two right angles’. This attribute is not a commensurate universal of figure due to the first condition: it cannot be demonstrated of any figure. Nonetheless, though it can be demonstrated of every isosceles because every isosceles has angles equal to two right angles, it is not a commensurate universal of isosceles due to the other conditions: it is not predicated of isosceles qua isosceles but qua triangle. These conditions seem to be like regulators: they organize everything to match to the right group. The method of finding commensurate universal is like test and error method based on elimination: you must eliminate each of the higher or lower universals and check if the attribute remains or not. The commensurate universal is that which remains in between eliminated universals. (cf. PsA., A, 5, 74a37-b4) Brad Inwoodpresents an understanding of commensurate universal that is different from what I have understood and, thus, must be checked: ‘These universals are propositions in which, for example, ‘all A are B’ is true and which are still true universal statements if converted: ‘all B are A’ is also true.’ -/- . (shrink)