In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS 239 die Herausgeber nicht mit, von wem. Jedem Dialog geht eine Gliederung voran; jeder Band ist mit einer recht brauchbaren Bibliographie versehen. Es ist erstaunlich zu erfahren, dass der erste Band, erstmalig in 1957 erschienen, in 1963 eine Auflage von 78000 erreicht hat; bleiben auch die Auflageziffern der fibrigen B~inde dahinter zurfick, so sind sie doch genfigend eindrucksvoll. Man wfinscht, der Verlag m6chte doch, durch diesen Erfolg (...) ermutigt, das nach Obgesagtem noch Fehlende--und dazu noch Platons Gedichte--in einem Erg~inzungsband bringen, wie immer man fiber die Echtheit der Stficke denkt. Der stilistische Unterschied zwischen den ~bersetzungen von Schleiermacher (erstmalig: 1804-1810) und von H. und F. H. Mfiller ist ausserordentlich. Dies ist nicht etwa auf die gr6ssere Sprachmeisterschaff Schleiermachers zurfickfiihren. Vielmehr liegt seiner Obersetzungsmethode eine h6chst interessante Theorie zugrunde (die F. A. Wolff, der Schleiermachers ~bersetzung verhShnt und Wilamowitz, der sie als ungeniessbar bezeichnet hatte, offenbar unbekannt war). Dieser Theorie zufolge ist es die Aufgabe des ~2bersetzers, den Leser besffindig daran zu erinnern, dass er nur eine l~bersetzung vor sich hat. Einem ~bersetzer, der sich brfistet, dass sich sein Text so liest, wie ihn der Autor geschrieben h~itte, wenn er in der Sprache des ~bersetzers und seines Publikums gedacht h~itte, sollte erwidert werden "Daffir bin ich dir so dankbar, wie ich es w~ire, wenn du mir das Bild eines Mannes zeigtest und sagtest--So wiirde er ausgesehen haben, wenn ihn mit seiner Mutter ein anderer Vater gezeugt h~tte." In anderen Worten: da sich Inhalt und Ausdruck nicht abtrennen lassen, sollte der f2bersetzer, start das Original seiner Sprache anzueignen, vielmehr--wir gebrauchen hier den bekannten Brechtschen Begriff--im Leser einen Verfremdungseffekt erzeugen. Wie man sieht, ist Schleiermachers ~3bersetzungstheorie jeder "rationalistischen " strikte entgegengesetzt; ja, man k6nnte sagen, dass sie das ganze Wesen des Romantisch-Irrationalen eben auf ein Einzelproblem, das des l~bersetzens angewendet, aufs beste ausdrfickt. Und Schleiermachers f2bersetzungspraxis entspricht genau seiner Theorie. Dies ist ihre Eigentfimlichkeit. Und ich denke, dass diese Theorie mehr Au{merksamkeit verdient, als ihr in den nie endenden Diskussionen darfiber, welchen Prinzipien der Obersetzer folgen sollte, geschenkt wird. PHILIP MERLAN Scripps College, Claremont, Calif. Platon der Erzieher. Von Julius Stenzel. Mit einer Einffihrung von Konrad Gaiser. (Hamburg: Felix Meiner Verlag, 1961. Pp. xxx + 337. DM 26.) Platon der Erzieher was first published in 1927. The present edition, with 240 HISTORY OF PHILOSOPHY the exception of the preface by Gaiser, is an exact reproduction of the earlier one. As a reviewer of the reissue, I feel myself obligated to formulate what seems to me relevant today. I remember that, when I read the first edition about the time of its appearance, I was full of admiration and felt myself indebted to the book for many years. Today it seems to me more dated than most writings on Plato of that period, including various publications of Stenzel. Criticizing Platon der Erzieher, I criticize what I once read differently. Julius Stenzel had earlier established his reputation as a Platonic scholar with his Studien zur Entwicklung der platonischen Dialektik von Sokrates zu Aristoteles (1917). This book as well as most of Stenzel's later investigations have exercised a considerable influence on international Platonic scholarship. In Germany it prefaced a new approach to ancient and especially to Platonic philosophy. In spite of the spadework done by German scholars in the nineteenth century and still by men like Apelt, Constantin Ritter and Theodor Gomperz, Plato's image in German thought about the end of the First World War was mainly determined by three sources: the neo-Kantian interpretation and Natorp's monograph in particular ; the highly original but very personal and philosophically naive "biography" of Wilamowitz-Moellendorff; and the vision of the Plato gestalt by the George circle. Stenzel dedicated the Studien to Wilamowitz and, while paying his respect to Natorp, stated that in contrast to the philosophical Plato interpretation of the Marburg school, he had chosen a philological and historical approach. As for the George circle, he did not acknowledge its significance, though I believe that at least in his later works he was indirectly influenced by it. In the years following World War I, it became important that Stenzel and... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS 239 die Herausgeber nicht mit, von wem. Jedem Dialog geht eine Gliederung voran; jeder Band ist mit einer recht brauchbaren Bibliographie versehen. Es ist erstaunlich zu erfahren, dass der erste Band, erstmalig in 1957 erschienen, in 1963 eine Auflage von 78000 erreicht hat; bleiben auch die Auflageziffern der fibrigen B~inde dahinter zurfick, so sind sie doch genfigend eindrucksvoll. Man wfinscht, der Verlag m6chte doch, durch diesen Erfolg (...) ermutigt, das nach Obgesagtem noch Fehlende--und dazu noch Platons Gedichte--in einem Erg~inzungsband bringen, wie immer man fiber die Echtheit der Stficke denkt. Der stilistische Unterschied zwischen den ~bersetzungen von Schleiermacher (erstmalig: 1804-1810) und von H. und F. H. Mfiller ist ausserordentlich. Dies ist nicht etwa auf die gr6ssere Sprachmeisterschaff Schleiermachers zurfickfiihren. Vielmehr liegt seiner Obersetzungsmethode eine h6chst interessante Theorie zugrunde (die F. A. Wolff, der Schleiermachers ~bersetzung verhShnt und Wilamowitz, der sie als ungeniessbar bezeichnet hatte, offenbar unbekannt war). Dieser Theorie zufolge ist es die Aufgabe des ~2bersetzers, den Leser besffindig daran zu erinnern, dass er nur eine l~bersetzung vor sich hat. Einem ~bersetzer, der sich brfistet, dass sich sein Text so liest, wie ihn der Autor geschrieben h~itte, wenn er in der Sprache des ~bersetzers und seines Publikums gedacht h~itte, sollte erwidert werden "Daffir bin ich dir so dankbar, wie ich es w~ire, wenn du mir das Bild eines Mannes zeigtest und sagtest--So wiirde er ausgesehen haben, wenn ihn mit seiner Mutter ein anderer Vater gezeugt h~tte." In anderen Worten: da sich Inhalt und Ausdruck nicht abtrennen lassen, sollte der f2bersetzer, start das Original seiner Sprache anzueignen, vielmehr--wir gebrauchen hier den bekannten Brechtschen Begriff--im Leser einen Verfremdungseffekt erzeugen. Wie man sieht, ist Schleiermachers ~3bersetzungstheorie jeder "rationalistischen " strikte entgegengesetzt; ja, man k6nnte sagen, dass sie das ganze Wesen des Romantisch-Irrationalen eben auf ein Einzelproblem, das des l~bersetzens angewendet, aufs beste ausdrfickt. Und Schleiermachers f2bersetzungspraxis entspricht genau seiner Theorie. Dies ist ihre Eigentfimlichkeit. Und ich denke, dass diese Theorie mehr Au{merksamkeit verdient, als ihr in den nie endenden Diskussionen darfiber, welchen Prinzipien der Obersetzer folgen sollte, geschenkt wird. PHILIP MERLAN Scripps College, Claremont, Calif. Platon der Erzieher. Von Julius Stenzel. Mit einer Einffihrung von Konrad Gaiser. (Hamburg: Felix Meiner Verlag, 1961. Pp. xxx + 337. DM 26.) Platon der Erzieher was first published in 1927. The present edition, with 240 HISTORY OF PHILOSOPHY the exception of the preface by Gaiser, is an exact reproduction of the earlier one. As a reviewer of the reissue, I feel myself obligated to formulate what seems to me relevant today. I remember that, when I read the first edition about the time of its appearance, I was full of admiration and felt myself indebted to the book for many years. Today it seems to me more dated than most writings on Plato of that period, including various publications of Stenzel. Criticizing Platon der Erzieher, I criticize what I once read differently. Julius Stenzel had earlier established his reputation as a Platonic scholar with his Studien zur Entwicklung der platonischen Dialektik von Sokrates zu Aristoteles (1917). This book as well as most of Stenzel's later investigations have exercised a considerable influence on international Platonic scholarship. In Germany it prefaced a new approach to ancient and especially to Platonic philosophy. In spite of the spadework done by German scholars in the nineteenth century and still by men like Apelt, Constantin Ritter and Theodor Gomperz, Plato's image in German thought about the end of the First World War was mainly determined by three sources: the neo-Kantian interpretation and Natorp's monograph in particular ; the highly original but very personal and philosophically naive "biography" of Wilamowitz-Moellendorff; and the vision of the Plato gestalt by the George circle. Stenzel dedicated the Studien to Wilamowitz and, while paying his respect to Natorp, stated that in contrast to the philosophical Plato interpretation of the Marburg school, he had chosen a philological and historical approach. As for the George circle, he did not acknowledge its significance, though I believe that at least in his later works he was indirectly influenced by it. In the years following World War I, it became important that Stenzel and... (shrink)

The study deals with ekphraseis on works of art and poses the question as to how far these texts can be a reliable source for the study or even the reconstruction of the artefacts they describe. Based on reception theory and readerresponse criticism, in the paper is proposed that as every text, byzantine ekphraseis on artworks presuppose an audience or readership, i. e. the one the author had in mind and on the basis of which he encoded his message. In (...) order to decode this message and by extension to extract any information about the described works of art we must aim to discover their “intended reader”, and identify his or her “horizon of expectations. This proposal is tested in the study of a well known piece of this kind, Manasses’s description of a mosaic floor with a depiction of Earth. The author’s dialogue with the earlier tradition of ekphraseis, his readership’s “horizon of expectations” combined with historical facts, allow us to suppose that Manasses is describing a composition with Xenia scenes and an asarotos motif created in the early byzantine period and preserved in the Great Palace of Constantinople up to the twelfth century. (shrink)

Moving from four fragments of Aristander and Callithea (47, 103, 115, 152), this article explores the narrative and ideological meaning of dreams in Constantine Manasses' narrative. Fr. 47, in particular, encloses a quotation from Euripides (Hecuba 72), which has been put in connection with the commentary on Aristotle's work De divinatione per somnia written by Michael of Ephesus. Nevertheless the arguments for a direct connection between the two texts are not cogent. On the contrary there is a wide (...) range of patristic, theological and philosophical texts showing a strong and ongoing interest in Byzantine culture for the psychological aspects of the oneiric processes. This background is reflected both in Constantine's novel and in his Chronicle, where he reworks and adapts the contemporary debates for narrative purposes. (shrink)

A number of well-developed theories shed light on the question, under what circumstances our beliefs enjoy epistemic justification. Yet, comparatively little is known about epistemic defeat--when new information causes the loss of epistemic justification. This book proposes and defends a detailed account of epistemic defeaters. The main kinds of defeaters are analyzed in detail and integrated into a general framework that aims to explain how beliefs lose justification. It is argued that defeaters introduce incompatibilities into a noetic system and thereby (...) prompt a structured re-evaluation process that makes a justified reinstatement of the defeated belief impossible. The account is then applied to the topic of disagreement, where it is used in an argument for conciliationism, as well as a new explanation for higher-order defeat. Throughout the book, the notion of defeat is the center of attention, while a number of new issues are discussed at the intersections of defeat and justification. Specifically, new problems are raised for broadly internalist accounts of defeat, a fully descriptive reliabilist account of defeat is provided, and the case for normative defeat is revisited. (shrink)

A system of logic usually comprises a language for which a model-theory and a proof-theory are defined. The model-theory defines the semantic notion of model-theoretic logical consequence (⊨), while the proof-theory defines the proof- theoretic notion of logical consequence (or logical derivability, ⊢). If the system in question is sound and complete, then the two notions of logical consequence are extensionally equivalent. The concept of full formalization is a more restrictive one and requires in addition the preservation of the standard (...) meanings of the logical terms in all the admissible interpretations of the logical calculus, as it is proof-theoretically defined. Although classical first-order logic is sound and complete, its standard formalizations fall short to be full formalizations since they allow non-intended interpretations. This fact poses a challenge for the logical inferentialism program, whose main tenet is that the meanings of the logical terms are uniquely determined by the formal axioms or rules of inference that govern their use in a logical calculus, i.e., logical inferentialism requires a categorical calculus. This paper is the first part of a more elaborated study which will analyze the categoricity problem from its beginning until the most recent approaches. I will first start by describing the problem of a full formalization in the general framework in which Carnap (1934/1937, 1943) formulated it for classical logic. Then, in sections IV and V, I shall discuss the way in which the mathematicians B.A. Bernstein (1932) and E.V. Huntington (1933) have previously formulated and analyzed it in algebraic terms for propositional logic and, finally, I shall discuss some critical reactions Nagel (1943), Hempel (1943), Fitch (1944), and Church (1944) formulated to these approaches. (shrink)

This paper discusses the problem of gravitational perturbations of radiating spacetimes. We lay out the theoretical framework for describing the interaction of external gravitational fields with a radiating spacetime. This is done by deriving the field perturbation equations for a radiating metric. The equations are then specialized to a Vaidya spacetime. For the Hiscock ansatz of a linear mass model of a radiating blackhole the equations are found separable. Further, the resulting ordinary differential equations are found to admit analytic solutions. (...) We obtain the solutions and discuss their characteristics. (shrink)

On the shores of Madagascar there appeared in the 19th century an influential group whose members were called—erroneously —by strangers as well as by the Merina oligarchy, the “Malagasy creóles”. As a matter of fact the latter are half-castes born of Malagasies and (prevalently) Frenchmen. However, their contemporaries did not confuse them with the mulattos or malata (zona malata), descendants of filibusters or pirates who frequented the East Coast, and their Malagasy mates; on the other hand they, themselves, refused the (...) designation of malata. Thus the name of “Malagasy creole”—even if false, because it does not describe Europeans born in Madagascar—defines a precise social group well into the 19th century. (shrink)

This paper seeks to develop a phenomenological account of the disorientation of grief, specifically the relationship between disorientation and the breakdown in practical self-understanding at the heart of grief. I argue that this breakdown cannot be sufficiently understood as a breakdown of formerly shared practices and habitual patterns of navigating lived-in space that leaves the bereaved individual at a loss as to how to go on. Examining the experience of losing a loved person and a loved person-to-be, I instead propose (...) that this breakdown should be understood primarily in relation to a distinctive kind of futurity operative in disorientation,irrespectiveof the extent to which there is a breakdown of formerly shared practices and habitual patterns of navigating lived-in space. Drawing on the resources afforded by Heidegger’s phenomenology, I argue that it is acore characteristicof the experience of disorientation in grief that the grieving person can no longer meaningfully press ahead into aspecific futural self. This view comes with certain advantages over existing accounts of the temporality of grief for making sense of the disorientated relationship to futurity, which the appeal to Heideggerian resources makes possible. (shrink)

This paper seeks to develop a phenomenological account of the disorientation of grief, specifically the relationship between disorientation and the breakdown in practical self-understanding at the heart of grief. I argue that this breakdown cannot be sufficiently understood as a breakdown of formerly shared practices and habitual patterns of navigating lived-in space that leaves the bereaved individual at a loss as to how to go on. Examining the experience of losing a loved person and a loved person-to-be, I instead propose (...) that this breakdown should be understood primarily in relation to a distinctive kind of futurity operative in disorientation, irrespective of the extent to which there is a breakdown of formerly shared practices and habitual patterns of navigating lived-in space. Drawing on the resources afforded by Heidegger’s phenomenology, I argue that it is a core characteristic of the experience of disorientation in grief that the grieving person can no longer meaningfully press ahead into a specific futural self. This view comes with certain advantages over existing accounts of the temporality of grief for making sense of the disorientated relationship to futurity, which the appeal to Heideggerian resources makes possible. (shrink)

In this paper, I aim to defend Gadamer’s philosophical hermeneutics against what I call the radical hermeneutic critique, specifically the critique developed in Robert Bernasconi’s article “’You Don’t Know What I’m Talking About’: Alterity and the Hermeneutic Ideal” (1995). Key to this critique is the claim that Gadamer’s account does not rise to the ethical task of embracing the alterity of the Other, but instead reduces it to a projection of one’s self. The implication is therefore that Gadamer’s philosophical hermeneutics (...) has to be rejected on ethical grounds, as it does not appreciate but assimilates the alterity of the Other. In contrast to this radical hermeneutic critique, I argue that Gadamer’s philosophical hermeneutics can accommodate an Other that is not assimilated but appreciated, on the condition that the unique status of a dialogue with the Other as a person is no longer neglected, as Gadamer does, but instead truly distinguished from a dialogue with the Other as a text. (shrink)

At last available in paperback, this book anticipates and explains the post-structuralist turn to empiricism. Presenting a challenging reading of David Hume's philosophy, the work is invaluable for understanding the progress of Deleuze's thought.

First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

Dentre os vários modelos normativos de democracia elaborados na Filosofia Política, um dos mais influentes é o da democracia deliberativa, cuja característica mais essencial é a exigência de justificação pública. John Rawls, ao estabelecer as bases do que ele chamou de razão pública, tornou-se um dos principais marcos teóricos desse modelo democrático. Atrelado à razão pública, Rawls tratou do dever de civilidade, um dever moral coerente com ela e com a sua ideia de democracia. O cidadão que o cumpre colabora (...) com a construção e manutenção da própria democracia. O escopo do presente artigo é, à luz da teoria rawlsiana, estabelecer quatro componentes de naturezas distintas e aparentemente contraditórias (singular, plural, subjetivo e objetivo) que, somados, completam o dever de civilidade, tornando-o essencial para o regime democrático. (shrink)

Modern societies are characterized by a division of epistemic labor between laypeople and epistemic authorities. Authorities are often far more competent than laypeople and can thus, ideally, inform their beliefs. But how should laypeople rationally respond to an authority’s beliefs if they already have beliefs and reasons of their own concerning some subject matter? According to the standard view, the beliefs of epistemic authorities are just further, albeit weighty, pieces of evidence. In contrast, the Preemption View claims that, when one (...) discovers what an authority believes, it is not permissible to rely on any of one’s own reasons concerning the subject matter. The original version of this view, as proposed by Linda Zagzebski, has recently been severely criticized for recommending blind trust and for abandoning even minimal standards for critical thinking. In our paper, we defend a new version of the Preemption View—Defeatist Preemptionism—in a way that differs radically from Zagzebski’s. We argue that our view can be derived from certain widely accepted general epistemic principles. In particular, we claim that preemption can be identified as a special case of source sensitive defeat. Moreover, we argue that Defeatist Preemptionism does not lead to the undesirable consequences that critics ascribe to the Preemption View. The paper thus articulates the foundations and refinements of the Preemption View, such that it adequately captures the phenomenon of epistemic authority and the rational requirements related to it. (shrink)

History casts a spell on our minds more powerful than science or religion. It does not root us in the past at all. It rather flatters us with the belief in our ability to recreate the world in our image. It is a form of self-assertion that brooks no opposition or dissent and shelters us from the experience of time. So argues Constantin Fasolt in _The Limits of History_, an ambitious and pathbreaking study that conquers history's power by carrying the (...) fight into the center of its domain. Fasolt considers the work of Hermann Conring and Bartolus of Sassoferrato, two antipodes in early modern battles over the principles of European thought and action that ended with the triumph of historical consciousness. Proceeding according to the rules of normal historical analysis—gathering evidence, putting it in context, and analyzing its meaning—Fasolt uncovers limits that no kind of history can cross. He concludes that history is a ritual designed to maintain the modern faith in the autonomy of states and individuals. God wants it, the old crusaders would have said. The truth, Fasolt insists, only begins where that illusion ends. With its probing look at the ideological underpinnings of historical practice, _The Limits of History_ demonstrates that history presupposes highly political assumptions about free will, responsibility, and the relationship between the past and the present. A work of both intellectual history and historiography, it will prove invaluable to students of historical method, philosophy, political theory, and early modern European culture. (shrink)

Due to Gӧdel’s incompleteness results, the categoricity of a sufficiently rich mathematical theory and the semantic completeness of its underlying logic are two mutually exclusive ideals. For first- and second-order logics we obtain one of them with the cost of losing the other. In addition, in both these logics the rules of deduction for their quantifiers are non-categorical. In this paper I examine two recent arguments –Warren (2020), Murzi and Topey (2021)– for the idea that the natural deduction rules for (...) the first-order universal quantifier are categorical, i.e., they uniquely determine its semantic intended meaning. Both of them make use of McGee’s open-endedness requirement and the second one uses in addition Garson’s (2013) local models for defining the validity of these rules. I argue that the success of both these arguments is relative to their semantic or infinitary assumptions, which could be easily discharged if the introduction rule for the universal quantifier is taken to be an infinitary rule, i.e. non-compact. Consequently, I reconsider the use of the ω-rule and I show that the addition of the ω-rule to the standard formalizations of first-order logic is categorical. In addition, I argue that the open-endedness requirement does not make the first-order Peano Arithmetic categorical and I advance an argument for its categoricity based on the inferential conservativity requirement. (shrink)

Our technological lifeworld has become an info-computational media populated by data and algorithms, an artificial environment for life and shared experiences. In this chapter, I tried to sketch three new assumptions for bioethics – it is hardly possible to substantiate ethical guidelines or an idea of normativity in an aprioristic manner; moral status is a function of data entities, not something solely human; agency is plural and thus is shared or sometimes delegated – in order to chart a proposal for (...) a posthuman bioethics. Posthuman is perhaps not the best expression available, but it covers the idea of a shift from a world centered on self-contained and exclusively human agency to a more comprehensive and relational way of thinking. The “posthuman” label should be understood as a rebuttal of biocentrism and anthropocentrism by moving closer to conceptions we encounter in population ethics or in discourse about biosocial and technical systems. Posthuman bioethics is “environmentalist” without losing the humanistic stance. The question regarding how suitable an infocentric bioethics is in practice remains to be settled. The moral principles in bioethics could be reconceived as relying on these new assumptions, in a postindividualistic manner that accepts formal primacy of causal digital artifacts in affording actions in a world of ambient algorithmic intelligence. (shrink)

Is knowledge-how, or “practical” knowledge, a species of knowledge-that, or “theoretical” knowledge? There is no comfortable position to take in the debate around this question. On the one hand, there are counterexamples against the anti-intellectualist thesis that practical knowledge is best analysed as an ability. They show that having an ability to ϕ is not necessary for knowing how to ϕ. On the other hand, the intellectualist analysis of practical knowledge as a subspecies of theoretical knowledge is threatened by its (...) own set of counterexamples, which convincingly establish that practical knowledge lacks many of the typical characteristics of theoretical knowledge. Most strikingly it does not even appear to require a belief. In this paper, I develop an account of practical knowledge that avoids these counterexamples. It also manages to preserve both the status of such knowledge as a cognitive achievement and its apparently close conceptual relation to abilities. I start with the counterexamples against the necessity of abilities for practical knowledge and show that they fail because they underestimate the cognitive demands of attempts. I then make use of the logic of dispositions to bridge the gap that counterexamples against the necessity of abilities for practical knowledge open. It is argued that, instead of the ability to ϕ, it is a specific disposition to have the ability to ϕ that constitutes practical knowledge about ϕ. The resulting theory is an anti-intellectualist position that preserves essential intellectualist motivations and thus should be satisfactory for proponents of both views. (shrink)

Accounts of human and animal action have been central to modern philosophy from Suarez and Hobbes in the sixteenth century to Wittgenstein and Anscombe in the mid-twentieth century via Locke, Hume, Kant, and Hegel, among many others. Philosophies of action have thus greatly influenced the course of both moral philosophy and the philosophy of mind. This book gathers together specialists from both the philosophy of action and the history of philosophy with the aim of re-assessing the wider philosophical impact of (...) action theory. It thereby explores how different notions of action, agency, reasons for action, motives, intention, purpose, and volition have affected modern philosophical understandings of topics as diverse as those of human nature, mental causation, responsibility, free will, moral motivation, rationality, normativity, choice and decision theory, criminal liability, weakness of will, and moral and social obligation. In so doing, it reinterprets the history of modern philosophy through the lens of action theory while also tracing the origins of contemporary questions in the philosophy of action back across half a millennium. This book was originally published as a special issue of Philosophical Explorations. (shrink)

The two Heisenberg Uncertainties (UR) entail an incompatibility between the two pairs of conjugated variables E, t and p, q. But incompatibility comes in two kinds, exclusive of one another. There is incompatibility defineable as: (p → -q) & (q → -p) or defineable as [(p → -q) & (q → -p)] ↔ r. The former kind is unconditional, the latter conditional. The former, in accordance, is fact independent, and thus a matter of logic, the latter fact dependent, and thus (...) a matter of fact. The two types are therefore diametrically opposed. In spite of this, however, the existing derivations of the Uncertainties are shown here to entail both types of incompatibility simultaneously. ΔEΔt ≥ h is known to derive from the quantum relation E = hv plus the Fourier relation ΔvΔt ≥ 1. And the Fourier relation assigns a logical incompatibility between Δv = 0, Δt = 0. (Defining a repetitive phenomenon at an instant t → 0 is a self contradictory notion.) An incompatibility, therefore, which is fact independent and unconditional. How can one reconcile this with the fact that ΔEΔt exists if and only if h > 0, which latter supposition is a factual truth, entailing that a ΔE = 0, Δt = 0 incompatibility should itself be fact dependent? Are we to say that E and t are unconditionally incompatible (via ΔvΔt ≥ 1) on condition that E = hv is at all true? Hence, as presently standing, the UR express a self-contradicting type of incompatibility. To circumvent this undesirable result, I reinterpret E = hv as relating the energy with a period. Though only one such period. And not with frequency literally. (It is false that E = v. It is true that E = v times the quantum.) In this way, the literal concept of frequency does not enter as before, rendering ΔvΔt ≥ 1 inapplicable. So the above noted contradiction disappears. Nevertheless, the Uncertainties are derived. If energy is only to be defined over a period, momentum only over a distance (formerly a wavelength) resulting during such period, thus yielding quantized action of dimensions Et = pq, then energies will become indefinite at instants, momenta indefinite at points, leading, as demanded, to (symmetric!) ΔEΔt = ΔpΔq ≥ h's. (shrink)

The two Heisenberg Uncertainties (UR) entail an incompatibility between the two pairs of conjugated variables E, t and p, q. But incompatibility comes in two kinds, exclusive of one another. There is incompatibility defineable as: (p → − q) & (q→ − p) or defineable as [(p →− q) & (q →− p)] ↔ r. The former kind is unconditional, the latter conditional. The former, in accordance, is fact independent, and thus a matter of logic, the latter fact dependent, and (...) thus a matter of fact. The two types are therefore diametrically opposed. In spite of this, however, the existing derivations of the Uncertainties are shown here to entail both types of incompatibility simultaneously. Δ E Δ t ≥ h is known to derive from the quantum relation E = hν plus the Fourier relation Δ ν Δ t ≥ 1. And the Fourier relation assigns a logical incompatibility between Δ ν = 0, Δ t = 0. (Defining a repetitive phenomenon at an instant t → 0 is a self contradictory notion.) An incompatibility, therefore, which is fact independent and unconditional. How can one reconcile this with the fact that Δ EΔ t exists if and only if h > 0, which latter supposition is a factual truth, entailing that a Δ E = 0, Δ t = 0 incompatibility should itself be fact dependent? Are we to say that E and t are unconditionally incompatible (via Δ ν Δ t ≥ 1) on condition that E = hν is at all true? Hence, as presently standing, the UR express a self-contradicting type of incompatibility. To circumvent this undesirable result, I reinterpret E = hν as relating the energy with a period. Though only one such period. And not with frequency literally. (It is false that E = ν. It is true that E = ν times the quantum.) In this way, the literal concept of frequency does not enter as before, rendering Δ ν Δ t ≥ 1 inapplicable. So the above noted contradiction disappears. Nevertheless, the Uncertainties are derived. If energy is only to be defined over a period, momentum only over a distance (formerly a wavelength) resulting during such period, thus yielding quantized action of dimensions Et = pq, then energies will become indefinite at instants, momenta indefinite at points, leading, as demanded, to (symmetric!) Δ E Δ t = Δ p Δ q ≥ h’s. (shrink)

The classical response to Zeno’s paradoxes goes like this: ‘Motion cannot properly be defined within an instant. Only over a period’ (Vlastos.) I show that this ob-jection is exactly what it takes for Zeno to be right. If motion cannot be defined at an instant, even though the object is always moving at that instant, motion cannot be defined at all, for any longer period of time identical in content to that instant. The nonclassical response introduces discontinuity, to evade the (...) paradox of infinite proximity of any point of a distance with any ‘next’. But it introduces the wrong sort of discontinuity because, rather than assuming the discontinuity of motion, as Quantum Theory does, it assumes the discontinuity of space. Due then to the resulting spacetime disorder, though all else is certainly lost, the Tortoise now turns up at least as fast as Achilles and hence not even this much is rescued. Zeno rejects motion because he shows that a moving object must be where it is not. Hence motion, if to occur, must violate the Law of Contradiction (LNC). Applying the concept of quantum discontinuity, I produce an alternative. If an object is to move discontinuously between two boundary points, A and B, what actually obtains is, rather, that it is nowhere at all in-between A and B. And cannot therefore be at two places in-between A and B. And cannot therefore be where it is not. Thus, LNC is conserved. However, in these conditions, the Law of the Excluded Middle (LEM) fails. To mitigate the undesirability of this effect, I show that LEM fails because LNC holds. Thus, the resulting nonbivalent logic, which is also appropriate for quantized transitions of all kinds, will always turn up nonbivalent, because consistent. And this is not too bad, considering. (shrink)

The classical response to Zeno’s paradoxes goes like this: ‘Motion cannot properly be defined within an instant. Only over a period’ (Vlastos.) I show that this ob-jection is exactly what it takes for Zeno to be right. If motion cannot be defined at an instant, even though the object is always moving at that instant, motion cannot be defined at all, for any longer period of time identical in content to that instant. The nonclassical response introduces discontinuity, to evade the (...) paradox of infinite proximity of any point of a distance with any ‘next’. But it introduces the wrong sort of discontinuity because, rather than assuming the discontinuity of motion, as Quantum Theory does, it assumes the discontinuity of space. Due then to the resulting spacetime disorder, though all else is certainly lost, the Tortoise now turns up at least as fast as Achilles and hence not even this much is rescued. Zeno rejects motion because he shows that a moving object must be where it is not. Hence motion, if to occur, must violate the Law of Contradiction (LNC). Applying the concept of quantum discontinuity, I produce an alternative. If an object is to move discontinuously between two boundary points, A and B, what actually obtains is, rather, that it is nowhere at all in-between A and B. And cannot therefore be at two places in-between A and B. And cannot therefore be where it is not. Thus, LNC is conserved. However, in these conditions, the Law of the Excluded Middle (LEM) fails. To mitigate the undesirability of this effect, I show that LEM fails because LNC holds. Thus, the resulting nonbivalent logic, which is also appropriate for quantized transitions of all kinds, will always turn up nonbivalent, because consistent. And this is not too bad, considering. (shrink)

The deliberative conception of politics seems to be necessary for the legitimation of state power through democratic will‐formation and decision‐making. However, the author maintains that a complex theory of democracy cannot merely consist in procedural prerequisites for organizing the concomitant institutional settings. In particular, such a theory must comprise some substantive presuppositions, such as social and economic rights, in order to diminish existing material inequalities, especially those connected with social exploitation and domination. The author argues that a contemporary theory of (...) democracy should reflect on the autonomization of mechanisms of egoistic action challenging not only the democratic political order, but also the very reproduction preconditions of societies all over the world. In this perspective, the model of associative democracy, which is suggested nowadays as a sort of substantive correlative to the institutional proceduralism, could not significantly rejuvenate the traditional representative democracy. Instead, democracy could only be given a fresh impulse if democratic deliberation penetrates the currently forbidden field of capitalist production and social exploitation, the locus where social inequality and effective unfreedom are endlessly reproduced. (shrink)

We establish the existence uncountably many atoms in the subvariety lattice of the variety of involutive residuated lattices. The proof utilizes a construction used in the proof of the corresponding result for residuated lattices and is based on the fact that every residuated lattice with greatest element can be associated in a canonical way with an involutive residuated lattice.

The question whether quantum discontinuity can or cannot provide an answer to Zeno’s Paradoxes is reopened. It is observed that what is usually understood by the term “discontinuity”, namely, Einstein’s conception of the photon as described by himself and all others, is unsuitable to the task because, essentially,it reduces to the trivial ‘discontinuity’ of objects scattered in space. By contrast, quantization of energy levels, which are not in space but can only alternate in time, provide the right sort of discontinuity (...) required. Discrete quantized orbits, corresponding to eigen-frequencies, are irreducible, and nothing is allowed to stand in-between them in satisfaction of the quantum postulate, furnishing the requisite, and so far missing, immediate nextness of a point to a certain other. In this way, Zeno’s Runner need not postpone his first step indefinitely, always waiting upon an infinity of preceding steps, before it can be taken. There is now a point that is next to a point and so a step on that point, which is the first step. It follows that, if one kind of discontinuity, Einstein’s, is incapable of offerring an answer to Zeno, while another kind can, the two are discrepant. One of them, the former, is not a kind of discontinuity properly so called at all, though evidently the consequence of one. (shrink)

The question whether quantum discontinuity can or cannot provide an answer to Zeno’s Paradoxes is reopened. It is observed that what is usually understood by the term “discontinuity”, namely, Einstein’s conception of the photon as described by himself and all others, is unsuitable to the task because, essentially,it reduces to the trivial ‘discontinuity’ of objects scattered in space. By contrast, quantization of energy levels, which are not in space but can only alternate in time, provide the right sort of discontinuity (...) required. Discrete quantized orbits, corresponding to eigen-frequencies, are irreducible, and nothing is allowed to stand in-between them in satisfaction of the quantum postulate, furnishing the requisite, and so far missing, immediate nextness of a point to a certain other. In this way, Zeno’s Runner need not postpone his first step indefinitely, always waiting upon an infinity of preceding steps, before it can be taken. There is now a point that is next to a point and so a step on that point, which is the first step. It follows that, if one kind of discontinuity, Einstein’s, is incapable of offerring an answer to Zeno, while another kind can, the two are discrepant. One of them, the former, is not a kind of discontinuity properly so called at all, though evidently the consequence of one. (shrink)

Le projet de Jean Piaget ne se réduit pas à son œuvre épistémologique. Il prend sa source, dès l'adolescence, dans une volonté de réconcilier la science et la foi. C'est de cette source-là, morale et humaniste, que lui vient son intérêt pour l'éducation. Sa pensée éducative se fonde sur la ferme conviction que la morale est une logique de l'action comme la logique est une morale de la pensée. Il s'ensuit qu'éducation morale et éducation intellectuelle doivent être menées de front, (...) et donc, qu'il faut éduquer la personne entière. Mais l'éducation est ambiguë par essence, selon qu'elle enferme l'enfant dans son égocentrisme intellectuel et la morale conventionnelle ou, au contraire, qu'elle stimule, par une pédagogie appropriée, sa marche vers une plus grande rationalité et une éthique personnelle. Dans de nombreux textes, Piaget explique comment l'école peut aider l'élève, citoyen de demain, à construire sa liberté intérieure, liberté de jugement autant que liberté de conscience. Humaniser l'humanité par l'éducation grâce à l'école, tel est le sens de son engagement - pendant trois décennies - à la tête du Bureau international d'éducation et à l'Unesco. (shrink)