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)

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)

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)

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..

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)

The aim of this paper is to analyse categorical propositions and their oppositional relations in Avicenna’s frame. For Avicenna’s expression and conception of categorical propositions is different from those of the authors who preceded him, due to the various conditions he adds to these categorical propositions. These additions make the oppositional relations richer and give rise to many more figures than a simple square. Our analysis exhibits some of these figures by relating all kinds of quantified propositions in various ways. (...) We thus find many squares of oppositions, several octagons, two hexagons and many complex figures which are different from each other and have specific and original structures, due to the propositions they contain. The hexagons are of Blanché’s kind, but one of them is asymmetric. Some octagons are of Buridan’s kind, but one of them is very unusual and seems to be a reversal of Buridan’s octagon. These octagons can also be replaced by cubes, which are three dimensional figures having the same number of vertices. (shrink)

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)

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)

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

Pylyshyn makes a convincing case that early visual processing is cognitively impenetrable, and although I question the utility of binary oppositions such as penetrable/impenetrable, for the most part I am in agreement. The author does not provide explicit designations or denotations for the terms penetrable and impenetrable, which appear quite arbitrary. Furthermore, the use of focal attention smacks of an homunculus, and the account appears to slip too easily between the perceptual, the cognitive, and the neurophysiological.

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)

Technophilia has been routinely pathologized in the science and technology studies literature. It is variously framed as a type of dangerous psychological deviance, a form of spiritual deficit, and a source of social destruction. This essay seeks to reframe technophilia as a way of life no more pathological than homosexuality, atheism, or other traditionally disparaged identities, and to note how its oppositional forms—much like gay activism or atheist humanism—can be as politically helpful and ethically grounded as any other progressive social (...) movement. (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)

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)

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)

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)

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)

Big, stomping elephants. Small, colorful birds. Tall, spotted giraffes. Short, waddling penguins. Opposites are all around at the zoo! This picture book brings opposites from the zoo to young children with interactive, rhyming text and bright photographs.

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 doctrine of unity of opposites lays in the centre of the debate on Heraclitus’ philosophy. The present article proposes a critical analysis of the mainstream interpretation of geometrical oppositions (fragments DK 22 B 59, B 60 and B 103) as mere examples of different points of view. Instead, we suggest that these fragments are fundamental pieces in Heraclitus cosmology and that they are traces of a circular and archaic paradigm. Indeed, cyclical formulations are spread throughout the fragments and, read (...) in connection with geometrical oppositions, perform a useful model to describe how permanence and change can be complementary events. In this context, circularity can be a key to the comprehension of unity of opposites as a result of interchangeable processes – as day and night, life and death, beginning and end – so that opposites are part of a concrete and vital unity. (shrink)

In a nearly paradoxical manner, the virtue of martial courage is best understood through violent acts that are typically vicious, such as killing, maiming, and bombing. To ameliorate this worry, I make a new distinction that is dependent on whether the agent acts in accord with social norms or against them. We usually understand martial courage through social courage, where soldiers are courageous through performing violent acts that society determines are necessary. While this understanding is accurate for a just war, (...) violence cannot be virtuous when fighting for an unjust cause. The oppositional form of martial courage involves acting contrary to social norms by refusing to fight on behalf of an unjust cause or in unjust ways. As a virtue, martial courage should include bravely renouncing and resisting unjust wars. In this way, oppositional courage provides a non-violent grounding for martial courage: while martial courage often requires violence, it also requires a vigilant readiness to refuse to be violent when justice requires oppositional courage. (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)

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)

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)

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 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)

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, 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 and he would, if he had infinite time, presumably never complete the work, although no individual part of it would remain unwritten. Or imagine an English professor who time-travels back to 1599 to offer a printing of Hamlet to Shakespeare, so as to help the Bard overcome writer's block and author the play which will centuries later inspire an English professor to travel back in time. 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)

We show that we in ways related to the classical Square of Opposition may define a Cube of Opposition for some useful statements, and we as a by-product isolate a distinct directive of being inviolable which deserves attention; a second central purpose is to show that we may extend our construction to isolate hypercubes of opposition of any finite cardinality when given enough independent modalities. The cube of opposition for obligations was first introduced publically in a lecture for the Square (...) of Opposition Conference in the Vatican in May 2014. -/- A COLORFUL ERRATUM: The article Cubes and Hypercubes of Opposition, with Ethical Ruminations on Inviolability, suffered a couple of mishaps when it was published in Logica Universalis, ISSN 1661-8297, 10(2-3), p. 373–376. The worst of them was that the colorful cube was printed in shades of grey, instead of decorating the sides with two transparent sides, and then a red, a yellow, a blue and a green side. The text of the article is not quite understandable because of this mishap, so I avail a colorfully updated version of the original article here. -/- . (shrink)

I think--though this is not completely clear--that it would be accurate in the situation which I have envisaged, for me to say to you 'Once you were me,' and for you to say this to me. For suppose we represent our joint life-history in the obvious way by a big Y. The left arm is not the right arm, and neither arm is the pedestal; but the word 'me' does not denote the present part of my life-history, represented by the (...) left arm, nor any other part of my life-history, but rather denotes the person whose life history is represented by the pedestal plus the left arm, and the word 'you' similarly denotes the person whose life history is represented by the pedestal plus the right arm. These two persons were ex hypothesi one and the same person before the fission, and given that pronouns have the reference just indicated, 'Once you were me' seems a correct way of describing this fact. 'Once I was you' would of course do as well; for it doesn't mean 'Once I was you and there was no me,' which of course I cannot admit, but just 'Once I was you,' and that is fair enough. My memory of the sardine feast can then be expressed by 'I remember eating those sardines when I was you'. (shrink)

We consider the problem of semantic opposition; in particular, theproblem of determining adjective-verb opposition for transitive changeof state verbs and adjectivally modified grammatical objects. Semanticopposition problems of this type are a sub-case of the classic FrameProblem; the well-known problem of knowing what is preserved orchanged in the world as a result of some action or event. Bydefinition, grammatical objects of change of state verbs undergomodification. In cases where the object is adjectivally modified, theproblem reduces to determining whether the property denoted (...) by theadjective still holds true after the event denoted by the verb. Inthis paper, we evaluate the efficacy of WordNet, a network of conceptsorganized around linguistically relevant semantic relations includingantonymy, for this task. Test examples are drawn from the linguisticliterature. Results are analyzed in detail with a view towardsproviding feedback on the concept of a network as an appropriate modelof semantic relations for problems in semantic inference. (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 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)

The objective of this article is to propose a precise characterization of the collective practice behind at least an important part of the phenomena named “decision by consensus”. First, I provide descriptions of the use of this rule, and give a definition of the non-opposition rule, both as a specific sequence of acts and as a stopping rule. Second, I challenge the usual way of understanding the non-opposition rule by contrast with voting, stating that the contrast between logic of approval (...) and logic of consent also has to be taken into account. Third, I examine the conditions of its use. The non-opposition rule satisfies groups whose concern is to decide without dividing. Finally, from the analytic benefit of opening up decision by consensus as the use of the non-opposition rule, I will examine, in a fourth part, whether consensus in decision-making is as democratic a procedure as is sometimes thought. (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 informal argument, an essential step is to ask what will “resonate” with a particular audience and hence persuade. Marketers, for example, may recommend a certain colour for a new soda can becau...

The Aristotelian square of oppositions is a well-known diagram in logic and linguistics. In recent years, several extensions of the square have been discovered. However, these extensions have failed to become as widely known as the square. In this paper we argue that there is indeed a fundamental difference between the square and its extensions, viz., a difference in informativity. To do this, we distinguish between concrete Aristotelian diagrams and, on a more abstract level, the Aristotelian geometry. We then introduce (...) two new logical geometries, and develop a formal, well-motivated account of their informativity. This enables us to show that the square is strictly more informative than many of the more complex diagrams. (shrink)

Due to the intense selection pressure against inbreeding, humans are expected to possess psychological adaptations that regulate mate choice and avoid inbreeding. From a gene’s-eye perspective, there is little difference in the evolutionary costs between situations where an individual him/herself is participating in inbreeding and inbreeding among other close relatives. The difference is merely quantitative, as fitness can be compromised via both routes. The question is whether humans are sensitive to the direct as well as indirect costs of inbreeding. Using (...) responses from a large population-based sample (27,364 responses from 2,353 participants), we found that human motivations to avoid inbreeding closely track the theoretical costs of inbreeding as predicted by inclusive-fitness theory. Participants were asked to select in a forced choice paradigm, which of two acts of inbreeding with actual family members they would want to avoid most. We found that the estimated fitness costs explained 83.6% of participant choices. Importantly, fitness costs explained choices also when the self was not involved. We conclude that humans intuit the indirect fitness costs of mating decisions made by close family members and that psychological inbreeding avoidance mechanisms extend beyond self-regulation. (shrink)

To say that something is extreme, as solipsism is, implies that there exists a spectrum of which this extremity is one limit. Knowing one limit, we are then curious about the other, the opposite end of the spectrum. In many cases the answer is too well-known to cause comment: i.e., the spectrum of greyness has black as one extreme and white as the other. But in the case of solipsism neither the spectrum nor the other extreme is obvious.

This paper uses the distribution and interpretation of antonymous adjectives in comparative constructions as an empirical basis to argue that abstract representations of measurement, or ‘degrees’, must be modeled as intervals on a scale, rather than as points, as commonly assumed. I begin by demonstrating that the facts in this domain must be accounted for in terms of the interaction of the semantics of adjectival polarity and the semantics of the comparative, rather than principles governing the (overt) expression of particular (...) types of adjectives in comparatives. I then show that a principled account of the full range of data under consideration can be constructed within a model in which degrees are formalized as intervals on a scale and adjectival polarity is characterized in terms of two structurally distinct and complementary sorts of `positive' and `negative' degrees. (shrink)

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.

We may now ask the question: In what historical perspective should we place the work of Richard Goldschmidt? There is no doubt that in the period 1910–1950 Goldschmidt was an important and prolific figure in the history of biology in general, and of genetics in particular. His textbook on physiological genetics, published in 1938, was an amazing compendium of ideas put forward in the previous half-century about how genes influence physiology and development. His earlier studies on the genetic and geographic (...) distribution of the various species and races of Lymantria contributed soundly to an understanding of the inheritance and development of sex, as well as the genetics of speciation. He was a curious mixture of the experimentalist, empiricist, and theorizer, who could grasp both the large and the small at once and wrap them into the same integrated and coherent package.In insisting on trying to relate genetics to development, Goldschmidt was continually forced to speculate and to forsake experimental fact for generalized theory. In refusing to reconcile a physiological and developmental conception with a corpuscular theory of the gene, he forced himself to substitute for a large body of experimentally verified evidence, vague and general speculations which did not lead in any precise direction. L. C. Dunn summarizes succinctly the effect of Goldschmidt's thinking on the development of genetic theory: Although Goldschmidt's ideas had a considerable influence in directing attention to the developmental processes intervening between genes and characters, they did not lead to the establishment of a general theory of development in genetical terms. In fact, at the end of the period, as signalized by Goldschmidt's book of 1938 [Physiological Gentics] doubt remained whether there was a field with a defined problem which could be identified as developmental genetics.Yet the frequency with which Goldschmidt is cited by later writers suggests that there is a more positive side to his contribution than this. The early Mendelians had recognized the genic constitution of organisms and the Drosophila workers had uncovered in detail the chromosomal mechanism of heredity. These great discoveries were of classical character, solidly based on a multitude of well established facts. By themselves, however, they would not have been sufficient to place genetics in the central position within biology which it was to assume. Beyond the “static” analysis of gene transmission an insight was needed into the dynamic role of genes in cellular physiology, biochemistry, and development. Goldschmidt recognized this aspect and outlined in brilliant generalizations a physiological theory of genetics. Necessarily the prophetic nature of this achievement — romantic in the sense of Ostwald's classification of great scientists and their discoveries — transcended its factual basis. It was the audacity of the theoretician unimpeded by the still scanty data which gave a new focus to biological thought.Some have called Goldschmidt an “obstructionist” in the history of genetics—one whose efforts were largely directed toward useless and continual criticism — challenge for the sake of challenge. As this line of argument goes, time wasted answering Goldschmidt's poorly conceived criticisms could have been better used to pursue new lines of thought within the classical gene theory. Sometimes historians are upbraided for studying the work of such “obstructionists,” or even the work of those whose ideas have later proved to be inadequate. This argument misses the point of history and the lessons which it can teach. Perhaps Goldschmidt did take the time of a number of the classical geneticists who tried to answer his objections to the gene theory; and perhaps many of his own ideas about genes were, by today's view, “wrong.” These are always easier judgments to make by hindsight than at the moment. But that is not the point. Goldschmidt had a considerable influence on his contemporaries, and to dismiss him as an obstructionist because his opponents later proved to be more nearly right, distorts history and obscures significant questions which we might well be asking. It might be valuable to know why Goldschmidt felt compelled to be an iconoclast —and how that impulse, psychological in orgin, led him to overlook critical items of evidence which his opponents considered more carefully. It might also be valuable to try and understand how a contemporary of Goldschmidt or. Morgan really viewed the gene theory — what were its strong and weak point? Such questions are not readily answered by studying the work of only those men who were correct by later standards.Answers to some of the above questions can be gleaned from this study of Goldschmidt — though the first, and most psychologically oriented, question is largely untouched here.On the one hand, Goldschmidt forced classical geneticists to reexamine the foundation of their ideas about the nature, inviolability, and even physical dimensions of genes. He also kept alive the very real problems of gene physiology and its relations to development — a relationship that was given less attention by the Drosophila school in their pursuit of the transmission process. On a broader level he emphasized to the biological community a principle that was in danger of being lost in the enthusiasm surrounding the expansion of the Mendelian-chromosome theory. The point was that all theories in science are transient, logical constructs which should not be held as sacred. Time and again, as the history of science has shown, theories become rigid structures which retard new modes of thought. From Goldschmidt's perspective, the gene theory was in danger of performing just that function, for it was preventing workers from viewing the gene in a functional as well as a structural light.On the other hand, examining the work of critics (or even of outright “obstructionists”) gives the historian an opportunity to observe how the more established community of scholars at some point in time reacts to challenges of its cherished ideas. The fact that many workers in his own day (such as Beadle, Luria, Delbruck, Sturtevant, Bridges, and others), as well as most geneticists today, saw Goldschmidt as having been largely “obstructionist” is useful historical (and/or sociological) data. Clearly, as this paper has tried to show, Goldschmidt's ideas were not all obstructionist, and his viewpoint that genes must be considered functionally was one which was clearly valid, premature as it may have been from an experimental and technique point of view. Perhaps Goldschmidt's major fault was that he developed alternative theories which were not easily testable. Nonetheless, his challenge to a fundamental and established idea brought forth a reaction from many members of the genetic community which indicates how unwilling they were to reconsider the formalized theory on which their work was based. While many of Goldschmidt's criticisms — and particularly his way of making them — arose out of his own idiosyncrasies, they were also a product of his times. His view of the nature of theory-construction, and his rejection of old-style reductionism and mechanism, were part of a growing awareness within the world scientific community that explanations based on reducing complex phenomena to ultimate particles or units were clearly inadequate. The success of the Mendelian-chromosome theory had obscured that fact for many geneticists, but to Goldschmidt it was a point that could not be allowed to pass unnoticed. (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)

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)

Increasingly, frontiers between business and philanthropy seem to be blurred. Reward-Based Crowdfunding platforms contribute to this blurring of lines since they propose funders to support both for-profit and philanthropic projects. Our empirical paper explores the case of Ulule, the leading crowdfunding platform in Europe. Our results, based on a statistical analysis of more than 3000 projects, show that crowdfunding platforms foster specific kinds of relationships relying on reciprocal giving, beyond the usual opposition between altruistic and selfish motivations. We use the (...) work of Marcel Mauss to account for this process of reciprocal giving, and we argue that Maussian theory of gift can be used more generally to describe funding activities in the context of early stage entrepreneurship. (shrink)

When people understand a counterfactual such as “if the flowers had been roses, the trees would have been orange trees,” they think about the conjecture, “there were roses and orange trees,” and they also think about its opposite, the presupposed facts. We test whether people think about the opposite by representing alternates, for example, “poppies and apple trees,” or whether models can contain symbols, for example, “no roses and no orange trees.” We report the discovery of an inference‐to‐alternates (...) effect—a tendency to make an affirmative inference that refers to an alternate even from a negative minor premise, for example, “there were no orange trees, therefore there were poppies.” Nine experiments show the inference‐to‐alternates effect occurs in a binary context, but not a multiple context, and for direct and indirect reference; it can be induced and reduced by prior experience with similar inferences, and it also occurs for indicative conditionals. The results have implications for theories of counterfactual conditionals, and of negation. (shrink)