A formal theory of oppositions and opposites is proposed on the basis of a non- Fregean semantics, where opposites are negation-forming operators that shed some new light on the connection between opposition and negation. The paper proceeds as follows. After recalling the historical background, oppositions and opposites are compared from a mathematical perspective: the first occurs as a relation, the second as a function. Then the main point of the paper appears with a calculus of oppositions, by means of a (...) non-Fregean semantics that redefines the logical values of various sorts of sentences. A num- ber of topics are then addressed in the light of this algebraic semantics, namely: how to construct value-functional operators for any logical opposition, beyond the classical case of contradiction; Blanché's "closure problem", i.e., how to find a complete structure connecting the sixteen binary sentences with one another. All of this is meant to devise an abstract theory of opposition: it encompasses the relation of consequence as subalternation, while relying upon the use of a primary "proto- negation" that turns any relatum into an opposite. This results in sentential negations that proceed as intensional operators, while negation is broadly viewed as a difference-forming operator without special constraints on it. (shrink)

This paper investigates some classical oppositional categories, like synthetic vs. analytic, posterior vs. prior, imagination vs. grammar, metaphor vs. hermeneutics, metaphysics vs. observation, innovation vs. routine, and image vs. sound, and the role they play in epistemology and philosophy of science. The epistemological framework of objective cognitive constructivism is of special interest in these investigations. Oppositional relations are formally represented using algebraic lattice structures like the cube and the hexagon of opposition, with applications in the contexts of modern color theory, (...) Kantian philosophy, Jungian psychology, and linguistics. (shrink)

The paper presents the diagrammatic calculus CL, which combines features of tree, Euler-type, Venn-type diagrams and squares of opposition. In its basic form, `CL' (= Cubus Logicus) organizes terms in the form of a square or cube. By applying the arrows of the square of opposition to CL, judgments and inferences can be displayed. Thus CL offers on the one hand an intuitive method to display ontologies and on the other hand a diagrammatic tool to check inferences. The paper focuses (...) mainly on the adaptation of the square of opposition in CL and offers an algebraic notation, which corresponds to the diagrammatic representation. (shrink)

Opposition and particularity -- Opposition and intersubjectivity -- Opposition and temporality.

A logical theory of oppositions deals with the relation between propositions and their truth values. On the basis of a formal semantics that proceeds by means of questions-answers, three theses are claimed in the following: (1) the concept of opposition usually refers to incompatibility, but our logical analysis focusses upon a broader relation of difference; (2) more generally, opposition has to do with negativity; our semantics accounts for it through opposite-forming operators; (3) subalternation is a particular case of non-contradiction (...) expressing an “opposition of an opposition”; it is not a proper opposition, accordingly, but its very meaning depends upon the latter. There is not only one but rather a number of expressions for negativity and the paper presents a detailed analysis of these "floating" expressions in a twofold sense of the word: floating quantification is closely related to the logical operations of sentential negation and denial; to what extent natural languages do not clearly express the meaning of a negative thought will be exemplified. L'objectif du texte qui suit est double : non seulement proposer une analyse logique du concept d'opposition, susceptible d'apporter de la précision à cette notion tout aussi vague que courante ; mais aussi, proposer une explication des différentes façons dont la négation se manifeste dans les langues naturelles, en particulier dans notre modèle local de la langue française. Tandis que la communauté des linguistes propose couramment une distinction entre une négation logique et une négation linguistique, l'article qui suit a la prétention d'une explication unifiée de la négation, c'est-à-dire un cadre théorique commun dans lequel ces deux aspects de l'opérateur de négation apparaissent comme des cas particuliers aux significations distinctes. Il n'y aurait donc pas une négation logique, d'un côté, et une négation linguistique ou "métalinguistique", de l'autre. Une approche structurelle des expressions négatives devrait apporter un éclairage sur ce point, par le biais d'une analyse algébrique de la signification en termes de questions-réponses. Mais revenons pour commencer sur l'origine philosophique du concept d'opposition, avant d'en exposer les propriétés logiques par la suite et les expressions linguistiques pour conclure. (shrink)

This paper discusses knowledge of opposites. In particular, attention is given to the linguistic notion of antonymy and how it represents oppositional relations that are commonly found in perception. The paper draws upon the long history of work on the formalisation of antonymy in linguistics and formal semantics, and also upon work on the perception of opposites in psychology, and an assessment is made of the main approaches. Treatments of these phenomena in linguistics and psychology posit that the principles of (...) minimal difference and invariance are centrally important. It will be suggested that the standard approach employing meaning postulates fails to capture the relevant notion of antonymy, in part because it is not informed by these principles, and in part due to a number of other problems with this kind of approach, many of which may be overcome by building in the central principles from the beginning. The paper also discusses the issue of whether we can know that opposites necessarily exclude each other and, if so, how. This issue is intertwined with what is known as the colour incompatibility problem that Wittgenstein wrangled with at various times during his life. The paper assesses various solutions to these problems including an approach that was first put forward by Jerrold J. Katz. The relation between this approach and the theory of determinables and determinates is also examined. A further development upon this approach is proposed and then applied to the case of the formalisation of antonymy. It is argued that this approach avoids the problems suffered by the main approaches discussed earlier in the paper. (shrink)

The question of whether studies of human learning provide evidence for distinct conscious and unconscious influences remains as controversial today as ever. Much of this controversy arises from the use of the logic of dissociation. The controversy has prompted the use of an alternative approach that places conscious and unconscious influences on memory retrieval in opposition. Here we ask whether evidence acquired via the logic of opposition requires a dual-process account or whether it can be accommodated within a single similarity-based (...) account. We report simulations using a simple neural network model of two artificial grammar learning experiments reported by Higham, Vokey, and Pritchard that dissociated conscious and unconscious influences on classification. The simulations demonstrate that opposition logic is insufficient to distinguish between single- and multiple-system models. (shrink)

In this paper we deal with two applications of the square of opposition to controversial issues in the philosophy of quantum mechanics. The first one concerns the kind of opposition represented by states in superposition. A superposition of “spin up” and “spin down” for a given spatial direction, for instance, is sometimes said to originate particular kinds of opposition such as contradictoriness. The second application concerns the problem of identical particles. Identity and indiscernibility are entangled in discussions of this problem (...) in such a way that a proper conceptual treatment of those issues through the square seems profitable. (shrink)

In discussing Socrates's argument for Plato's principle of change in the Phaedo, Syrianus asks, To what kind of opposites is Socrates referring? I offer a new answer to Syrianus's question. I start from David Sedley's view that the opposites in question are converse contraries, which behave as converses in comparative contexts. I show that the quantitative pairs that Socrates cites fit Sedley's view because they are implicit comparatives. Nonetheless, I argue that Socrates's evaluative pairs are better understood as asymmetrical opposites (...) because the Phaedo and the Republic reveal that these pairs have independent, not relational, meanings. So my answer to Syrianus's question is that implicit comparatives and asymmetrical opposites are the kinds of opposites to which Socrates is referring. (shrink)

Saba Mahmood’s anthropological work studies the gain in skills, agency and capacity building by the women’s dawa movement in Egypt. These women increase their virtue toward the goal of piety by following dominant, often patriarchal norms. Mahmood argues that “teleological feminism” ignores this gain in agency because this kind of feminism only focuses on opposition or resistance to these norms. In this paper I defend Mahmood’s “anti-teleological” feminist work from criticisms that her project valorizes oppression and has no vision for (...) a nonoppressive feminist future. I argue the future envisioned by teleological feminists gets caught in “the Hegelian” trap of replicating past oppression in their feminist future. I find in Mahmood’s work the tools to escape this trap. I argue, rather than a movement of overcoming oppression, Mahmood’s work suggests an immanent and creative movement that emphasizes difference for a truly new future. I turn to a Bergsonian metaphor and argue that this movement can be seen as akin to the movement of biological evolution. I conclude using the work of Eve Sedgwick that the Egyptian women that Mahmood studies are being read in a “paranoid” fashion and demonstrate using Leila Ahmed a better “reparative” reading of these women. (shrink)

A general theory of logical oppositions is proposed by abstracting these from the Aristotelian background of quantified sentences. Opposition is a relation that goes beyond incompatibility (not being true together), and a question-answer semantics is devised to investigate the features of oppositions and opposites within a functional calculus. Finally, several theoretical problems about its applicability are considered.

The square of opposition (as part of a lattice) is used as a natural way to represent different and opposite ways of who makes decisions, and in what way, in/for a group or a society. Majority logic is characterized by multiple logical squares (one for each possible majority), with the “discursive dilemma” as a consequence. Three-valued logics of majority decisions with discursive dilemma undecided, of veto, consensus, and sequential voting are analyzed from the semantic point of view. For instance, (...) the paraconsistent and paracomplete logics M3, M3veto and C3 are described. The distinction of designated and non-designated values is not used, and instead, the consequence relation is defined as a preservation of the minimum truth-value of the implying set of sentences. The consequence and opposition relations of the logics described are compared, and an ordering of the logics with respect to their opposition relations is established. (shrink)

The earliest recorded philosophical use of the term "phusis" occurs in the fragments of Heraclitus (most notably at B1 and B123). Phusis, in the non-philosophical writings relevant to Heraclitus’s time (e.g. from Homer to Aeschylus and Pindar), was generally used to characterize the external physical appearance of something. Heraclitus, on the other hand, seems to have used the term in the completely opposite manner: an object’s phusis is hidden (kruptesthai) and greater (kreissōn) than the external appearance (B123 and B54). (...) Despite this difference, Heraclitus’s use has an affinity with the common use in his time: phusis is used to characterize things. In B1, for example, Heraclitus makes it clear that he is interested in explaining the nature of each thing as opposed to some cosmic principle of Nature. By examining various fragments, I make the case that the phusis of a thing, for Heraclitus, can be defined as the set of opposites necessarily inherent in an object upon which all objects of that kind depend for their existence. The interesting result is that Heraclitus’s novel use of phusis happens to be the foundation for one of the ways in which opposites form a unity. This particular thesis states that there are essential properties inherent in objects which are pairs of opposites sufficient to determine the unity of the object in question. If this is right, then we can read some fragments which contain descriptions of worldly objects (e.g. bows, lyres, rivers, barley drinks etc.) in a new light. These descriptions of worldly objects might not be meant to stand as metaphoric symbols for cosmic principles, as is often thought; rather, they can be read as instances of Heraclitus attempting to do a metaphysics of objects. (shrink)

An arithmetic theory of oppositions is devised by comparing expressions, Boolean bitstrings, and integers. This leads to a set of correspondences between three domains of investigation, namely: logic, geometry, and arithmetic. The structural properties of each area are investigated in turn, before justifying the procedure as a whole. Io finish, I show how this helps to improve the logical calculus of oppositions, through the consideration of corresponding operations between integers.

The theory of opposition has always been viewed as the founding principle of structuralism within contemporary linguistics and semiotics. As an analytical technique, it has remained a staple within these disciplines, where it continues to be used as a means for identifying meaningful cues in the physical form ofsigns. However, as a theory of conceptual structure it was largely abandoned under the weight of post-structuralism starting in the 1960s — the exception tothis counter trend being the work of the Tartu (...) School of semiotics. This essay revisits opposition theory not only as a viable theory for understanding conceptual structure, but also as a powerful technique for establishing the interconnectedness of language, culture, and cognition. (shrink)

Since antiquity, opposed concepts such as the One and the Many, the Finite and the Infinite, and the Absolute and the Relative, have been a driving force in philosophical, scientific, and mathematical thought. Yet they have also given rise to perplexing problems and conceptual paradoxes which continue to haunt scientists and philosophers. In _Oppositions and Paradoxes_, John L. Bell explains and investigates the paradoxes and puzzles that arise out of conceptual oppositions in physics and mathematics. In the process, Bell not (...) only motivates abstract conceptual thinking about the paradoxes at issue, but he also offers a compelling introduction to central ideas in such otherwise-difficult topics as non-Euclidean geometry, relativity, and quantum physics. These paradoxes are often as fun as they are flabbergasting. Consider, for example, the famous Tristram Shandy paradox: an immortal man composing an autobiography so slowly as to require a year of writing to describe each day of his life — he would, if he had infinite time, presumably never complete the work, although no individual part of it would remain unwritten. Or think of an office mailbox labelled “mail for those with no mailbox”—if this is a person’s mailbox, how can they possibly have “no mailbox”? These and many other paradoxes straddle the boundary between physics and metaphysics, and demonstrate the hidden difficulty in many of our most basic concepts. (shrink)

Our aim is to show that translating the modal graphs of Moretti’s “n-opposition theory” (2004) into set theory by a suited device, through identifying logical modal formulas with appropriate subsets of a characteristic set, one can, in a constructive and exhaustive way, by means of a simple recurring combinatory, exhibit all so-called “logical bi-simplexes of dimension n” (or n-oppositional figures, that is the logical squares, logical hexagons, logical cubes, etc.) contained in the logic produced by any given modal graph (an (...) exhaustiveness which was not possible before). In this paper we shall handle explicitly the classical case of the so-called 3(3)-modal graph (which is, among others, the one of S5), getting to a very elegant tetraicosahedronal geometrisation of this logic. (shrink)

We present a quantum model for the motion of N point particles, implying nonlocal (i.e., superluminal) influences of external fields on the trajectories, that is nonetheless fully relativistic. In contrast to other models that have been proposed, this one involves no additional space-time structure as would be provided by a (possibly dynamical) foliation of space-time. This is achieved through the interplay of opposite microcausal and macrocausal (i.e., thermodynamic) arrows of time. PACS numbers 03.65.Ud; 03.65.Ta; 03.30.+p..

Rule is commonly conceptualized with reference to the compliance it invokes. In this article, we propose a conception of rule via the practice of resistance instead. In contrast to liberal approaches, we stress the possibility of illegitimate rule, and, as opposed to critical approaches, the possibility of legitimate authority. In the international realm, forms of rule and the changes they undergo can thus be reconstructed in terms of the resistance they provoke. To this end, we distinguish between two types of (...) resistance—opposition and dissidence—in order to demonstrate how resistance and rule imply each other. We draw on two case studies of resistance in and to international institutions to illustrate the relationship between rule and resistance and close with a discussion of the normative implications of such a conceptualization. (shrink)

How do social institutions exist? How do they direct our conduct? The Opposite Mirrors defends the thesis that the existence of institutions is a conventional matter. Ultimately they exist because we believe in their existence, and because they play a role in our practical reasoning. Human action necessarily has an unpredictable aspect; human institutions perform an important task by reducing uncertainty in our interactions. The author applies this thesis to the most important institutions: the law and the monetary system. (...) In his analysis he connects many traditional topics of the philosophy of law, social philosophy and the philosophy of social sciences in a new way. He discusses the nature of rules, authority, and power and analyzes the Hobbesian presuppositions which have been dominant in legal theory and in the economic analyses of the state. The book is written for legal theorists as well as for political and social philosophers, and theoretically oriented social scientists. (shrink)

Our daily lives unfold continuously, yet our memories are organised into distinct events, situated in a specific context of space and time, and chunked when this context changes (at event boundaries). Previous research showed that this process, termed event segmentation, enhances object-context binding but impairs temporal order memory. Physiologically, peaks in pupil dilation index event segmentation, similar to emotion-induced bursts of autonomic arousal. Emotional arousal also modulates object-context binding and temporal order memory. Yet, these two critical factors have not been (...) systematically studied together. To address this gap, we ran a behavioural experiment using a paradigm validated to study event segmentation and extended it with emotion manipulation. During encoding, we sequentially presented greyscale objects embedded in coloured frames (colour changes defining events), with a neutral or aversive sound. During retrieval, we tested participants’ memory of temporal order memory and object-colour binding. We found opposite effects of emotion and event segmentation on episodic memory. While event segmentation enhanced object-context binding, emotion impaired it. On the contrary, event segmentation impaired temporal order memory, but emotion enhanced it. These findings increase our understanding of episodic memory organisation in laboratory settings, and potentially in real life with perceptual changes and emotion fluctuations constantly interacting. (shrink)

In Opposition to Philosophy in Safavid Iran Ata Anzali and S.M. Hadi Gerami offer a critical edition of what is arguably the most erudite and extensive critique of philosophy from the Safavid period. The editors' extensive introduction offers an in-depth analysis that places the work within the broader framework of Safavid intellectual and social history.

This study investigated the relationships among oppositional defiant attitudes, moral reasoning, moral value evaluation and self-reported delinquent behaviour in adolescents (N = 351, MAGE = 13.8 years, SDAGE = 1.1). Of particular interest were the moderating effects of age, educational environment and gender on the relationship between moral reasoning and delinquency. The results indicate that oppositional defiance was a strong positive correlate of delinquent behaviour, particularly in late adolescence. Furthermore, moral reasoning was modestly and negatively related to delinquency, but only (...) for males. No moderating effects for educational environment were observed. Moreover, moral value evaluation was uncorrelated with delinquent behaviour when controlling for other sociomoral processes. These findings invite further research on the relationship between attitudes and behaviour, with respect to causal links and practical applications within behavioural interventions. (shrink)

In Parmenides’ B 8 37–41, we find a question that raises a difficult problem: how can Parmenides handle the opposition between “being and not” in the same way as the oppositions which characterize the mortals’ opinions? This question is especially relevant for answering the following theoretical question: how do we to treat the fundamental philosophical question of oppositions at large? To answer these question we need to reinterpret some major points of Parmenides’ thought: the second part of his poem, but (...) also the identification of πέλειν and εἶναι in B 6 8, as well as other passages of the poem. But, above all, the question makes us introduce some distinctions within the concept of negation and, consequently, between difference and negation. This allows us to distinguish the affirmation of the truth of being from the negation of the negation of being. This distinction has a major philosophical relevance, as can be seen by referring it to such thinkers as Plato, Hegel and Heidegger. (shrink)

Axel Honneth reconstructs Hegel’s social and political philosophy on the basis of the concept of recognition. For Honneth, recognition is a constitutive relation between individuals that is in principle symmetrical. By conceiving recognition through symmetry, Honneth effectively bans the inclusion of power within recognitive relation. He thus regards the relations of power as cases of non-recognition or misrecognition. In this paper, I develop an alternative theory of the constitutive relation between individuals for Hegel, one that is based on the asymmetrical (...) relation of power. To this aim, I focus on the chapter of “determinations of reflection” in the Science of Logic. Through a close analysis of Hegel’s Logic, I argue that the most fundamental form of relation between individuals is the relation of opposition, that individuals are solely constituted in and through the relation of opposition, and that the relation of opposition is essentially asymmetrical. Together, these claims establish... (shrink)

The theory of the square of opposition has been studied for over 2,000 years and has seen a resurgence in new theories and research since the second half of the twentieth century. This volume collects papers presented at the Sixth World Congress on the Square of Opposition, held in Crete in 2018, developing an interdisciplinary exploration of the theory. Chapter authors explore subjects such as Aristotle’s ontological square, logical oppositions in Avicenna’s hypothetical logic, and the power of the square of (...) opposition to solve theological problems regarding predestination and theodicy. Other topics covered include: Hegel’s opposition to diagrams De Morgan’s unpublished octagon of opposition turnstile figures of opposition institutional model-theoretic treatment of oppositions Lacan’s four formulas of sexuation the theory of oppositional poly-simplexes The Exoteric Square of Opposition will appeal to pure logicians, historians of logic, semioticians, philosophers, theologians, mathematicians, and psychoanalysts. (shrink)

This is a collection of new investigations and discoveries on the theory of opposition (square, hexagon, octagon, polyhedra of opposition) by the best specialists from all over the world. The papers range from historical considerations to new mathematical developments of the theory of opposition including applications to theology, theory of argumentation and metalogic.

A general characterization of logical opposition is given in the present paper, where oppositions are defined by specific answers in an algebraic question-answer game. It is shown that opposition is essentially a semantic relation of truth values between syntactic opposites, before generalizing the theory of opposition from the initial Apuleian square to a variety of alter- native geometrical representations. In the light of this generalization, the famous problem of existential import is traced back to an ambiguous interpretation of assertoric sentences (...) in Aristotle's traditional logic. Following Abelard’s distinction between two alternative readings of the O-vertex: Non omnis and Quidam non, a logical difference is made between negation and denial by means of a more fine- grained modal analysis. A consistent treatment of assertoric oppositions is thus made possible by an underlying abstract theory of logical opposition, where the central concept is negation. A parallel is finally drawn between opposition and consequence, laying the ground for future works on an abstract operator of opposition that would characterize logical negation just as does Tarski’s operator of consequence for logical truth. (shrink)

In this paper, I will show to what extent we can use our modern understanding of the Square of Opposition in order to make sense of Kant 's double standard solution to the cosmological antinomies. Notoriously, for Kant, both theses and antitheses of the mathematical antinomies are false, while both theses and antitheses of the dynamical antinomies are true. Kantian philosophers and interpreters have criticized Kant 's solution as artificial and prejudicial. In the paper, I do not dispute such claims, (...) but I show that our modern understanding of the Square of Opposition enables us to more naturally deliver the result Kant was aiming at. Accordingly, the paper does not pretend to be exegetically accurate. It is an attempt to revise the antinomies with the help of standard classical logic. And although such a revision entails some re-interpretation, in the end, it will actually help to unveil some of Kant 's thoughts. (shrink)

When Annie Besant landed in India she disavowed all political intent, but she soon became a militant nationalist — the only Western woman ever elected President of Congress. This essay explains her entry into politics by tracing the way her secular and socialist heritage informed her intellectual challenge to the ruling discourse of the Raj. In Britain, her theosophy acted as an alternative religious discourse, combining aspects of a secularist critique of Christianity with a defence of Eastern religions. In India, (...) it acted as a religious and social discourse that asserted the legitimacy, even superiority, of the indigenous culture. More generally, a study of Besant's opposition to the Raj illuminates the logic of a view of India shared by many nationalists. It shows how this view of India arose in dialectical opposition to the legitimating discourse of empire. (shrink)

"It’s a beautiful thing, the destruction of words. Of course the great wastage is in the verbs and adjectives, but there are hundreds of nouns that can be got rid of as well. It isn’t only the synonyms; there are also the antonyms. After all, what justification is there for a word which is simply the opposite of some other word? A word contains its opposite in itself. Take “good”, for instance. If you have a word like “good”, (...) what need is there for a word like “bad”? “Ungood” will do just as well — better, because it’s an exact opposite, which the other is not." (Syme, in George Orwell's Nineteen Eighty-Four) This chapter is about opposites and Newspeak in Orwell's Nineteen Eighty-Four. (shrink)

At On Generation and Corruption I.7.323b1–324a5, Aristotle claims that his new method of analysis for fundamental bodies and properties resolves a traditional apparent incompatibility between opposed principles applied by different philosophical authorities to the problem of affecting and being affected (poiein and paschein): that the like interacts with the unlike, and that the like interacts with the like. Twice in this passage, Aristotle uses a form of the term hupenantion (etymologically, ‘sub-oppositional’) in an extended discussion that includes his declaration of (...) the critical insight for solving the problem and illuminates the partial truth of each of the apparently antithetical universal principles. Because Aristotle uses the uncommon term twice in close context, and because he also explains in the context how he understands the apparent incompatibility—characterized both as a verbal opposition or enantiologia and also as a partial articulation of what should be theorized as a whole—it seems (and has seemed) plausible that this augmented form of the frequently used term enantion (‘opposite’ or ‘contrary’) carries methodological weight for indicating a kind of apparent incompatibility that can be resolved through supplementation to both of the opposed statements rather than elimination of or even favor for one or the other. Although the sense of hupenantion in On Generation and Corruption 1.7 is not continuous with the concept of the ‘subcontrary’ developed by ancient commentators on Aristotle’s Interpretations and early modern logicians, a full survey of the use of this term in Aristotle’s writings shows that Aristotle did recognize and lexically mark a special kind of opposition, one productive of intellectual progress rather than indicative of total error on one side of the debate. (shrink)

It is claimed hereby that, against a current view of logic as a theory of consequence, opposition is a basic logical concept that can be used to define consequence itself. This requires some substantial changes in the underlying framework, including: a non-Fregean semantics of questions and answers, instead of the usual truth-conditional semantics; an extension of opposition as a relation between any structured objects; a definition of oppositions in terms of basic negation. Objections to this claim will be reviewed.

Following neural network simulations of the two experiments of Higham, Vokey, and Pritchard , Tunney and Shanks argued that the opposition logic advocated by Higham et al. was incapable of distinguishing between single and multiple influences on performance of artificial grammar learning and more generally. We show that their simulations do not support their conclusions. We also provide different neural network simulations that do simulate the essential results of Higham et al.

Hume’s account of contrariety in Book I of the Treatise poses several interpretive puzzles. I consider each in turn and offer a novel interpretation of contrariety based on Hume’s discussion of the passions. That Book II and Book I form a complete chain of reasoning suggests that the way in which passions are related is analogous to the way in which ideas are related in the understanding. I argue that Hume identifies three species of empirical contrariety in Book II: contraries, (...) oppositions, and contradictions. All three species help clarify Hume’s remarks concerning contrariety in Book I. I further identify a second genus I call logical contrariety by drawing on Hume’s discussion of fictitious duration and distance. (shrink)

In this paper I argue that Kierkegaard endorses Hegel's theory of mediation, the view that relative opposites are mediated. However, I show that Kierkegaard denies Hegel's thesis that there are all and only relative opposites. I develop two of his arguments against this thesis. The first is existential. This argument comes from the dramatic interplay between A, the often disagreeable aesthete of Either/Or I, and Judge William, the dutiful ethicist of Either/Or II. Judge William convincingly argues that the possibility of (...) future aiming human projects is rendered obsolete if aesthetic and ethical forms of existence are mediated opposites. The second is philosophical. This second argument is offered by Johannes Climacus in Concluding Unscientific Postscript. I show that Climacus issues a reductio argument that I call "the argument from insufficient difference.". (shrink)

This paper investigates some classical oppositional categories, like synthetic versus analytic, posterior versus prior, imagination versus grammar, metaphor versus hermeneutics, metaphysics versus observation, innovation versus routine, and image versus sound, and the role they play in epistemology and philosophy of science. The epistemological framework of _objective cognitive constructivism_ is of special interest in these investigations. Oppositional relations are formally represented using algebraic lattice structures like the cube and the hexagon of opposition, with applications in the contexts of modern color theory, (...) Kantian philosophy, Jungian psychology, and linguistics. (shrink)

In this article, I examine what the ethical and political implications of conceptualizing and practicing philosophy for/with children in the neoliberal debt economy are. Though P4wC cannot alone bring about any significant transformation of debt political-economic realities, it can play an important role in cultivating oppositional debt ethics and consciousness. The first half of this article situates P4wC within the current global debt economy. Here, I summarize the analyses made by critical theorists of the ways that debt impacts public institutions, (...) and shapes individual subjectivity. The second half of this article builds on Michel Foucault’s conceptualization of “counter-conduct.” For Foucault, counter-conduct is an ethical/political act of resistance against governmentality, one that makes possible alternative social relations and ways of being in the world. I argue in this section that P4wC should be conceptualized, and practiced, as form of counter-conduct that challenges power in the debt economy. Both the form of P4wC pedagogy, and the content that can be taken up in a collective manner in communities of inquiry, make P4wC a potential site for debt counter-conduct practices. Thought of as counter-conduct, P4wC is an educational practice with liberatory promise. I conclude this piece with brief ruminations on practicing P4wC in the time of COVID, and during the uprisings around the world against racial capitalism. It is suggested here that P4wC not only be practiced within formal education settings, but also in the social movements that are fighting to bring into being a world more just for all of us. En este artículo, examino cuáles son las implicaciones éticas y políticas de conceptualizar y practicar la filosofía para / con niños en la economía de la deuda neoliberal. Aunque P4wC no puede provocar por sí solo ninguna transformación significativa de las realidades político-económicas de la deuda, puede desempeñar un papel importante en el cultivo de una ética y una conciencia de la deuda opuestas. La primera mitad de este artículo sitúa a P4wC dentro de la economía de deuda global actual. Aquí, resumo los análisis realizados por teóricos críticos sobre las formas en que la deuda afecta a las instituciones públicas y configura la subjetividad individual. La segunda mitad de este artículo se basa en la conceptualización de la "contra-conducta" de Michel Foucault. Para Foucault, la contra-conducta es un acto ético / político de resistencia contra la gobernamentalidad, que posibilita relaciones sociales y formas de estar en el mundo alternativas. Sostengo en esta sección que P4wC debe conceptualizarse y practicarse como una forma de contra-conducta que desafía el poder en la economía de la deuda. Tanto la forma pedagógica de P4wC, como su contenido adoptados de manera colectiva en las comunidades de investigación, hacen de P4wC un sitio potencial para las prácticas de contra-conducta de la deuda. Pensada como una contra-conducta, P4wC es una práctica educativa con promesa liberadora. Concluyo este artículo con breves reflexiones sobre la práctica de P4wC en la época de COVID y de los alzamientos en todo el mundo contra el capitalismo racial. Aquí se sugiere que P4wC no solo se practique dentro de los entornos de educación formal, sino también en los movimientos sociales que luchan por crear un mundo más justo para todos nosotros. Key Words: Debt, Philosophy for/with Children, Counter-Conduct. (shrink)

In their interesting and informative paper ‘From Szasz to Foucault: On the Role of Critical Psychiatry,’ Pat Bracken and Phil Thomas contrast, in a clear and helpful way, some central themes in the works of Thomas Szasz and Michel Foucault. They go on to endorse a form of critical psychiatry inspired by the latter. Szasz’s critique of psychiatry, they explain, is premised on binary oppositions, principally that between ‘mental’ and ‘bodily.’ Szasz begins by assuming the legitimacy of the distinction and (...) proceeds to argue that the term ‘illness’ can only be legitimately applied to what is ‘bodily.’ According to Szasz, there are medical pathologies, which are to be understood in naturalistic, biological terms, and .. (shrink)

We propose in this article some new elements for the interpretation of Heraclitus' doctrine, concerning in particular the role of the opposition of contraries as generator of harmony, that results from Fragments 8DK and 51DK. This interpretation is based on the conceptual tool of matrices of concepts. After having described the basic elements that govern the latter, we set out to define in this conceptual framework the notions of opposition and contrary, as well as of harmony. This allows us to (...) give an interpretation and also a justification of Heraclitus' specific doctrine, according to which the opposition of opposites generates harmony. (shrink)

The ascendance of populism to power in various liberal democracies around the world triggered vigorous public debates. More often than not, scholars, politicians and analysts warn of the dangers populism poses to democracy and its institutions, expecting populism to turn authoritarian once in government. Viewing populism as a feature of the opposition alone, others argue that populism in government is not meant to last - but rather consolidated into the mainstream of political and party systems. This chapter provides a critical (...) overview of the literature on populism in power, putting into scrutiny dominant theoretical paradigms in the field of so-called populism studies. It discusses the multi-faceted trajectories populist actors globally may take in their transition from opposition to power. It concludes that distinct types of populist actors have distinct implications on democracy depending on factors such as ideology and context. (shrink)