Inoperative Learning draws upon the movement towards a weak philosophy that is currently gaining ground in educational philosophy: this weak philosophy does not offer a set of solutions or guidelines for improving educational outcomes, but rather renders assumptions about the theory-practice coupling that is so popular in contemporary education inoperative. By arguing that such logic reduces education to merely instrumental ends, which can only be assessed in terms of predefined measurement tools, this book presents a challenge to contemporary notions of (...) education as learning. There are various forms of inoperative education that temporarily suspend the goal-directedness of learning. From the perspective of learning, the neutralization of progress, growth, and maturity would usually be seen as obstacles needing to be overcome on the path toward set goals. Yet Lewis argues that a serious investigation of inoperativity opens up possibilities that would be otherwise unavailable in a world fixated on the question of learning. In dialogue with philosophers (Agamben, Benjamin, and Esposito), as well as authors (Kafka and Walser), and qualitative researchers (Lather), Lewis turns our collective attention to what remains when concepts such as learning, child development, teacher effectivity, and personal growth are left idle. Inoperative Learning presents a radical rewriting of educational possibilities. It should therefore be of great interest to educational researchers and educational philosophers concerned with the question of alternative logics of education beyond learning. The book may also be of interest to educational policy specialists who are looking for new and innovative forms of critique and analysis. (shrink)

Walter Benjamin's Antifascist Education is the first comprehensive analysis of educational themes across the entirety of the critical theorist's diverse writings. Starting with Benjamin's early reflections on teaching and learning, Tyson E. Lewis argues that the aesthetic and cultural forms to which Benjamin so often turned-namely, radio broadcasts, children's theatrical productions, collections, cityscapes, public cinemas, and word games-swell with educational potentialities. What emerges from Lewis's reading is a constellational curriculum composed of minor practices such as poor teaching, absentminded learning, (...) and nondurational studying. This curriculum carries political significance, offering an antidote to past and present forms of fascist manipulation, hardness, and coldness. Walter Benjamin's Antifascist Education is a testimony to Benjamin's belief that "everyone is an educator and everyone needs to be educated and everything is education.". (shrink)

By classic results in social choice theory, any reasonable preferential voting method sometimes gives individuals an incentive to report an insincere preference. The extent to which different voting methods are more or less resistant to such strategic manipulation has become a key consideration for comparing voting methods. Here we measure resistance to manipulation by whether neural networks of varying sizes can learn to profitably manipulate a given voting method in expectation, given different types of limited information about how other voters (...) will vote. We trained over 70,000 neural networks of 26 sizes to manipulate against 8 different voting methods, under 6 types of limited information, in committee-sized elections with 5-21 voters and 3-6 candidates. We find that some voting methods, such as Borda, are highly manipulable by networks with limited information, while others, such as Instant Runoff, are not, despite being quite profitably manipulated by an ideal manipulator with full information. For the two probability models for elections that we use, the overall least manipulable of the 8 methods we study are Condorcet methods, namely Minimax and Split Cycle. (shrink)

This chapter provides a brief introduction to propositional epistemic logic and its applications to epistemology. No previous exposure to epistemic logic is assumed. Epistemic-logical topics discussed include the language and semantics of basic epistemic logic, multi-agent epistemic logic, combined epistemic-doxastic logic, and a glimpse of dynamic epistemic logic. Epistemological topics discussed include Moore-paradoxical phenomena, the surprise exam paradox, logical omniscience and epistemic closure, formalized theories of knowledge, debates about higher-order knowledge, and issues of knowability raised by Fitch’s paradox. The references (...) and recommended readings provide gateways for further exploration. (shrink)

Can we know truth even though certain proof is unattainable? Can we be known by Truth? Is there a relationship between belief and truth, and if so, what is the nature of that relationship? Do we need to have faith in reason and in real meaning to be able to reason towards truth? These are the sorts of questions this book seeks to address. In Faith's Knowledge, Paul Tyson argues that all knowledge that aims at truth is always the (...) knowledge of faith. If this is the case, then--against our modernist cultural assumptions about knowledge--truth cannot be had by proof. Yet, if this is true, then mere information and simply objective facts do not (for us as knowers) exist. Knowledge is always embedded in belief, and knowledge and belief is always expressed in relationships, histories, narratives, shared meanings, and power. Hence, a theological sociology of knowledge emerges out of these explorations in thinking about knowledge as a function of faith."--Publisher's website. (shrink)

This remarkable book is about everything from echidnas to evolution, cosmology to cooking, sex and science and spirits to Schrodinger's cat. Tyson Yunkaporta looks at global systems from an Indigenous perspective. He asks how contemporary life diverges from the pattern of creation. How does this affect us? How can we do things differently? Sand Talk provides a template for living. It's about how lines and symbols and shapes can help us make sense of the world. It's about how we (...) learn and how we remember. It's about talking to everybody and listening carefully. It's about finding different ways to look at things. Most of all it's about Indigenous thinking, and how it can save the world. (shrink)

(2003). Transiting the familiar and the strange. Philosophy & Geography: Vol. 6, No. 1, pp. 117-122.

Part I. Re-discovering a Christian understanding of reality. Two views of reality -- The Christian Platonism of Lewis and Tolkien -- Bridge -- Part II. Christian Platonism and the history of Western ideas. The mythos of modernity -- Platonist ideas in the New Testament -- How Christian is Christian Platonism? -- So what went wrong? -- Is modern truth, without wisdom, believable? -- Part III. Applied Christian metaphysics. Returning to reality.

Inquisitive logic is a research program seeking to expand the purview of logic beyond declarative sentences to include the logic of questions. To this end, inquisitive propositional logic extends classical propositional logic for declarative sentences with principles governing a new binary connective of inquisitive disjunction, which allows the formation of questions. Recently inquisitive logicians have considered what happens if the logic of declarative sentences is assumed to be intuitionistic rather than classical. In short, what should inquisitive logic be on an (...) intuitionistic base? In this paper, we provide an answer to this question from the perspective of nuclear semantics, an approach to classical and intuitionistic semantics pursued in our previous work. In particular, we show how Beth semantics for intuitionistic logic naturally extends to a semantics for inquisitive intuitionistic logic. In addition, we show how an explicit view of inquisitive intuitionistic logic comes via a translation into propositional lax logic, whose completeness we prove with respect to Beth semantics. (shrink)

In Ontological Aspects of Early Jewish Anthropology, Tyson L. Putthoff combines contemporary theory and sound exegesis to understand early Jewish beliefs about how the human self reacts ontologically in God s presence.".

Cinema Derrida charts Jacques Derrida's collaborations and appearances in film, video, and television beginning with 1983's Ghost Dance (dir. Ken McMullen, West Germany/UK) and ending with 2002's biographical documentary Derrida (dir. Dick and Ziering, USA). In the last half of his working life, Derrida embraced popular art forms and media in more ways than one: not only did he start making more media appearances after years of refusing to have his photo taken in the 1960s and 1970s, but his philosophy (...) started to draw more explicitly from visual culture and artistic endeavours. While this book offers explanations of this transition, it contends the image of "Jacques Derrida" that emerges from film and TV appearances remains spectral, constantly deferring a complete grasp of him. Tyson Stewart draws out the main tenets of spectrality from Derrida's seminal texts Of Grammatology and Specters of Marx and other writings, like Echographies of Television, in order to fill a gap in studies of Derrida and film. Throughout the book, he explains how various techniques and spectral effects such as slow motion, stillness, repetition, mise-en-abîme, direct address, and focus on body parts/bodily presence bring about a structure of spectrality wherein the past other returns to make impressions and ethical demands on the viewer. Drawing on communication theory and film and media studies, Cinema Derrida makes a major intervention in classical communication thought. (shrink)

There is an extensive literature in social choice theory studying the consequences of weakening the assumptions of Arrow's Impossibility Theorem. Much of this literature suggests that there is no escape from Arrow-style impossibility theorems unless one drastically violates the Independence of Irrelevant Alternatives (IIA). In this paper, we present a more positive outlook. We propose a model of comparing candidates in elections, which we call the Advantage-Standard (AS) model. The requirement that a collective choice rule (CCR) be rationalizable by the (...) AS model is in the spirit of but weaker than IIA; yet it is stronger than what is known in the literature as weak IIA (two profiles alike on x, y cannot have opposite strict social preferences on x and y). In addition to motivating violations of IIA, the AS model makes intelligible violations of another Arrovian assumption: the negative transitivity of the strict social preference relation P. While previous literature shows that only weakening IIA to weak IIA or only weakening negative transitivity of P to acyclicity still leads to impossibility theorems, we show that jointly weakening IIA to AS rationalizability and weakening negative transitivity of P leads to no such impossibility theorems. Indeed, we show that several appealing CCRs are AS rationalizable, including even transitive CCRs. (shrink)

Electricity deregulation was meant to improve the quality of people’s lives by lowering the cost of a critical commodity. In every state that has chosen deregulation, however, power companies, free from the oversight of state regulators, have increased prices and, in California’s case, have driven a utility to bankruptcy. It is clear that deregulation was intended to benefit the energy industry more than consumers by removing cost-based regulations that restricted corporate profits but guaranteed low prices and reliable service to consumers. (...) Deregulation proponents argued that California’s commitment to strong air quality standards prevented development of adequate power plant construction and that not a single power plant was constructed in California in the 1990s. This claim is refuted through an examination of California Energy Commission data. Although other states’ experiences are not as dramatic as California’s, serious problems will emerge if deregulation continues to dominate the policy agenda. (shrink)

Is magic real? Could anything be real that can't be quantified or scientifically investigated? Are qualities like love, beauty, and goodness really just about hormones and survival? Are strangely immaterial things, like thought and personhood, fully explainable in scientific terms? Does nature itself have any intrinsic value, mysterious presence, or transcendent horizon? Once we ask these questions, the answer is pretty obvious: of course science can't give us a complete picture of reality. Science is very good at what it is (...) good at, but highly important aspects of human meaning are simply outside of science's knowledge range. So how might we better relate scientific facts to qualitative mysteries? How might we integrate our powerful factual knowledge with wisdom about the higher meaning of things? This book defines magic as the real qualities and mysteries of the world that science just can't grasp. It looks at how we came to put magic in the box of subjective make-believe. It explores how we might get it out of that box and back into our understanding of reality. (shrink)

In this paper, we study three representations of lattices by means of a set with a binary relation of compatibility in the tradition of Ploščica. The standard representations of complete ortholattices and complete perfect Heyting algebras drop out as special cases of the first representation, while the second covers arbitrary complete lattices, as well as complete lattices equipped with a negation we call a protocomplementation. The third topological representation is a variant of that of Craig, Haviar, and Priestley. We then (...) extend each of the three representations to lattices with a multiplicative unary modality; the representing structures, like so-called graph-based frames, add a second relation of accessibility interacting with compatibility. The three representations generalize possibility semantics for classical modal logics to non-classical modal logics, motivated by a recent application of modal orthologic to natural language semantics. (shrink)

The concept of empathy in history education involves students in the attempt to think within the context of historical agents’ particular predicaments. Tracing the concept’s philosophical heritage to R. G. Collingwood’s philosophy of history and ‘re-enactment doctrine’, this article argues that our efforts in history classrooms to understand historical agents by their own standards are constrained by a tension that arises out of the need to disconnect ourselves from a present that provides the very means for understanding the past. Though (...) rather than serving to undermine the concept, it is proposed that the moderate hermeneutics of H.-G. Gadamer, through a positive conception of prejudice, tradition and temporal distance, transforms the factors typically seen as inhibitors to empathy’s operation into those that potentially enable it. The article aspires to shed new light on what is at play when history students engage in the intellectually demanding task of empathizing in history. (shrink)

The pressure for results applied by some research funders concerns some academicians. Sometimes, for example, a sponsor requests preliminary data that the researcher is not ready to release. This paper presents three interviews — two with researchers and one with a representative from industry — dealing with these issues and makes recommendations on the basis of those interviews. It also looks briefly at the different norms that exist in industry and academia for research and communication and the tensions these can (...) cause for a scientist working simultaneously in both realms. (shrink)

In "A Problem in Possible-World Semantics," David Kaplan presented a consistent and intelligible modal principle that cannot be validated by any possible world frame (in the terminology of modal logic, any neighborhood frame). However, Kaplan's problem is tempered by the fact that his principle is stated in a language with propositional quantification, so possible world semantics for the basic modal language without propositional quantifiers is not directly affected, and the fact that on careful inspection his principle does not target the (...) world part of possible world semantics—the atomicity of the algebra of propositions—but rather the idea of propositional quantification over a complete Boolean algebra of propositions. By contrast, in this paper we present a simple and intelligible modal principle, without propositional quantifiers, that cannot be validated by any possible world frame precisely because of their assumption of atomicity (i.e., the principle also cannot be validated by any atomic Boolean algebra expansion). It follows from a theorem of David Lewis that our logic is as simple as possible in terms of modal nesting depth (two). We prove the consistency of the logic using a generalization of possible world semantics known as possibility semantics. We also prove the completeness of the logic (and two other relevant logics) with respect to possibility semantics. Finally, we observe that the logic we identify naturally arises in the study of Peano Arithmetic. (shrink)

Seeing so much heartache in the world, and so much compromise within the Church, Jon Tyson believes we must redouble our efforts to build a community of hope that is stronger than the hollow culture around us. Tyson invites readers to pursue key disciplines and rhythms through truths such as: worship must be stronger than idolatry, rest must be stronger than exhaustion, and hospitality must be stronger than fear, principles that will make them spiritually stronger than the enchanting (...) pull of the world. (shrink)

By utilizing the philosophy of Giorgio Agamben, the authors propose a radical reconceptualization of the practice known as Philosophy for Children (P4C) that focuses on the experience of one's potentiality to speak rather than the development of specific skills or types of speaking. 'Philosophy for Infancy' (P4I) emerges as a non-instrumental educational practice that does not dictate what to say or how to say it but rather focuses on the potentiality to say something. In the process of developing P4I, the (...) authors address a long-standing question concerning the politics of education. Instead of education as a means to a pre-defined political end (citizenship education, for example) or education as an end in itself (divorced from political concerns), the authors argue that the non-instrumental approach to potentiality is the embodiment of an equally non-instrumental political community that is itself always in potential. P4I is intended to work within the procedural framework offered by the P4C-program and recognizes a latent potentiality in the practice that allows for a common use of language. Throughout the theoretical discussion, the authors offer practical applications and excerpts of children's dialogue to provide anchoring points for classroom teachers. (shrink)

The history of the idea of progress and the history of the concept of progress are two different things, not least because they emanate from considerably different intellectual traditions. In anglophone history of ideas, progress has typically been viewed as a belief. Historians of ideas explore the past evaluating the extent to which a given society met certain conditions of belief. By contrast, in the history of concepts as developed by Reinhart Koselleck, progress has occupied the dual role of a (...) ‘basic concept’ that grasps modern sociopolitical reality and a ‘collective singular’ that aggregates previous and adjacent meanings in the one linguistic unit. This article compares these two historical research programmes, highlights their merits and deficiencies, and concludes by offering a new approach to the history of concepts as suggested by R.G. Collingwood’s theory of a scale of forms. In each of the approaches to the history of ideas and concepts addressed, particular attention is given to the problem of what qualifies as progress, and thus to a longstanding problem concerning the attribution of progress to past societies routinely excluded from its history, including those left out by Koselleck’s conventional secular-modern thesis. (shrink)

History educators find themselves in the peculiar situation of wishing to introduce students to the history discipline while lacking a clear conception of the features intrinsic to historical inquiry across its various specialisations and subject matters. In affirming that no one methodological charter hangs in the corridors of academic history departments, we fail to provide an adequate justification for an education in history. The doctrine that history is an exercise in disciplined knowledge, a specific way of knowing, is weakened by (...) disciplinary disquietude and dissimilitude. Three features impress themselves upon all who inquire into the past. In the learning and teaching of history, these three features assume a distinct structural shape. First, colligation consists in grouping the events and concepts to be studied according to their shared purposes. Second, historical distance, intimately tied up with tradition and collective memory, provides the means for identifying a past separate from the present to be studied in its own right. Third, reconstruction describes the process of supplying individual content to the general categories illuminated by the earlier stages. To work knowingly in this structure of historical inquiry offers no solutions to the problems of historical thinking, it is to work productively within these problems. (shrink)

Investors with a pro-social or sustainability agenda increasingly attempt to influence firm managers to adopt socially responsible behavior, either through positive/reward tactics or negative/punishment tactics. This paper considers how investors can use each approach to differentially influence managers to make more CSR investments. The paper uses game theory with an all-pay contest structure to model how a large institutional investor could reward firms for CSR activities by creating a socially responsible investment fund (reward contest) or punish firms via shareholder activism (...) (punishment contest). We identify conditions under which the punishment contest induces a higher level of CSR activity among firms compared to the reward contest. Managers bearing substantial private costs stemming from the activism is one such condition. Spillover effects are seen as the other managers in the economy engage in CSR to avoid being punished by the investor’s activism. This level of engagement is not the case when rewards are used—only those managers with an expectation of being rewarded increase their CSR activity in that scenario. This suggests, for example, that incorporating thresholds or tiers (e.g. gold, silver, and bronze-level winners) can increase the effectiveness of reward contests. Implications for designing both positive and negative CSR inducements are explored. We also identify the ethical dilemmas that relate to such influence attempts. (shrink)

This article charts Derrida’s performances in front of the camera and argues that several different film retellings of his 1982 imprisonment in Prague articulate the connections between spectrality and Law. If spectrality disrupts the binary of presence and absence, then we must not only show how there is a ghostly presence within the context of film viewing, but also how being photographed is a matter of embracing blindness and a postal logic. The Prague imprisonment was an intriguing event in Derrida’s (...) life because it seemed to go hand-in-hand with revoking his self-imposed ban on his public image, beginning with his first television interview on Antenne 2. Why does Derrida replay this scene, re-enact it, indefinitely? How does the recurring trope of blindness in his writings relate to both the imprisonment and the experience of being photographed? The television and film retellings in Ghost Dance (McMullen, 1983), D’ailleurs, Derrida (Fathy, 1999), and, finally, Derrida (Dick and Ziering Kofman, 2002) could be a way of changing the ghosts that haunt that scene: from fear and anguish in the first television version to openness towards the other in D’ailleurs, Derrida, where the place and time of the event are not named. (shrink)

In an educational landscape dominated by discourses and practices of learning, standardized testing, and the pressure to succeed, what space and time remain for studying? In this book, Tyson E. Lewis argues that studying is a distinctive educational experience with its own temporal, spatial, methodological, aesthetic, and phenomenological dimensions. Unlike learning, which presents the actualization of a student’s "potential" in recognizable and measurable forms, study emphasizes the experience of potentiality, freed from predetermined outcomes. Studying suspends and interrupts the conventional (...) logic of learning, opening up a new space and time for educational freedom to emerge. Drawing upon the work of Italian philosopher and critical theorist Giorgio Agamben, Lewis provides a conceptually and poetically rich account of the interconnections between potentiality, freedom, and study. Through a mixture of educational critique, phenomenological description, and ontological analysis, Lewis redeems study as an invaluable and urgent educational experience that provides alternatives to the economization of education and the cooptation of potentiality in the name of efficiency. The resulting discussion uncovers multiple forms of study in a variety of unexpected places: from the political poetry of Adrienne Rich, to tinkering classrooms, to abandoned manifestos, and, finally, to Occupy Wall Street. By reconnecting education with potentiality this book provides an educational philosophy that undermines the logic of learning and assessment, and turns our attention to the interminable paradoxes of studying. The book will be key reading for scholars in the fields of educational philosophy, critical pedagogy, foundations of education, composition and rhetoric, and critical thinking and literacy studies. (shrink)

In a recent articles David Mouton has argued that immortality is compatible with one sort of physicalism. I believe that he fails to establish this thesis and that, moreover, this article contains several misconceptions having to do with the topic of immortality.

This paper provides an analysis of the educational use of the Internet and of digital technologies that is neither pessimistic nor optimistic, that is neither critical nor post-critical. Turning to Italian philosopher Giorgio Agamben’s comments on studying and its relationship to the technology of the blank writing tablet, the authors argue that digital devises are a radical transformation in our relationship to the technologies of reading and writing. Traditionally, the scholar was able to experience his or her potentiality to communicate (...) through writing via the blankness of the writing tablet. Yet, according to Agamben, such blankness has become inaccessible in the digital age, where the screen is always full of content. Here the authors argue that Agamben is correct in his diagnosis, yet his own theory of communicability offers up a way to redeem the educational use of digital devices. It is precisely the overflowing saturation of communications on the Internet which produces a new kind of blankness. It is this blankness which should thus become the focus of a studious form of media literacy—one that is not critical or post-critical so much as pre-critical. (shrink)

This paper studies connections between two alternatives to the standard probability calculus for representing and reasoning about uncertainty: imprecise probability andcomparative probability. The goal is to identify complete logics for reasoning about uncertainty in a comparative probabilistic language whose semantics is given in terms of imprecise probability. Comparative probability operators are interpreted as quantifying over a set of probability measures. Modal and dynamic operators are added for reasoning about epistemic possibility and updating sets of probability measures.

Brouwer's views on the foundations of mathematics have inspired the study of intuitionistic logic, including the study of the intuitionistic propositional calculus and its extensions. The theory of these systems has become an independent branch of logic with connections to lattice theory, topology, modal logic and other areas. This paper aims to present a modern account of semantics for intuitionistic propositional systems. The guiding idea is that of a hierarchy of semantics, organized by increasing generality: from the least general Kripke (...) semantics on through Beth semantics, topological semantics, Dragalin semantics, and finally to the most general algebraic semantics. While the Kripke, topological, and algebraic semantics have been extensively studied, the Beth and Dragalin semantics have received less attention. We bring Beth and Dragalin semantics to the fore, relating them to the concept of a nucleus from pointfree topology, which provides a unifying perspective on the semantic hierarchy. (shrink)

In this article, we explore the possibilities that works of art might possess for looking in original and unforeseen ways into something that, at first sight, has little to do with arts and artistic practice. To be more precise, we present here three artistic representations, taken from various times and style periods, that depict a well-known figure in art history: angels. A detailed description and analysis of these images give us the opportunity to figure out something about another figure, which (...) is fascinating to us as philosophers of education: the teacher. Our basic intuition is that the way in which three important artists—Albrecht Dürer, William Hogarth, and Paul Klee—have tried to capture and trace out... (shrink)

Reasoning about what other people know is an important cognitive ability, known as epistemic reasoning, which has fascinated psychologists, economists, and logicians. In this paper, we propose a computational model of humans’ epistemic reasoning, including higher-order epistemic reasoning—reasoning about what one person knows about another person’s knowledge—that we test in an experiment using a deductive card game called “Aces and Eights”. Our starting point is the model of perfect higher-order epistemic reasoners given by the framework of dynamic epistemic logic. We (...) modify this idealized model with bounds on the level of feasible epistemic reasoning and stochastic update of a player’s space of possibilities in response to new information. These modifications are crucial for explaining the variation in human performance across different participants and different games in the experiment. Our results demonstrate how research on epistemic logic and cognitive models can inform each other. (shrink)

There is a prevailing conviction that if traditional medicine (TRM) or complementary and alternative medicine (CAM) are integrated into healthcare systems, modern scientific medicine (MSM) should retain its principal status. This paper contends that this position is misguided in medical contexts where TRM is established and remains vibrant. By reflecting on the Chinese policy on three entrenched forms of TRM (Tibetan, Mongolian and Uighur medicines) in western regions of China, the paper challenges the ideology of science that lies behind the (...) demand that all traditional forms of medicine be evaluated and reformed according to MSM standards. Tibetan medicine is used as a case study to indicate the falsity of a major premise of the scientific ideology. The conclusion is that the proper integrative system for TRM and MSM is a dual standard based system in which both TRM and MSM are free to operate according to their own medical standards. (shrink)

This article identifies a prevalent strand of feminist writing on beauty and aesthetic surgery and explores some of the contradictions and inconsistencies inscribed within it. In particular, we concentrate on three central feminist claims: that living in a misogynist culture produces aesthetic surgery as an issue predominantly concerning women; that pain - both physical and psychic - is a central conceptual frame through which aesthetic surgery should be viewed; and that aesthetic surgery is inherently a normalizing technology. Engaging with these (...) ‘myths’, we explore the tensions uncovered through a historical analysis of the practices of aesthetic surgery as well as the challenges to feminist claims offered by post-feminism. In particular we seek to destabilize the connection in feminist writing between beauty and passivity. We argue that through aesthetic references to denigrated black and working-class bodies, young women may mobilize aesthetic surgeries to reinscribe active sexuality on the feminine body. (shrink)

The standard topological representation of a Boolean algebra via the clopen sets of a Stone space requires a nonconstructive choice principle, equivalent to the Boolean Prime Ideal Theorem. In this article, we describe a choice-free topological representation of Boolean algebras. This representation uses a subclass of the spectral spaces that Stone used in his representation of distributive lattices via compact open sets. It also takes advantage of Tarski’s observation that the regular open sets of any topological space form a Boolean (...) algebra. We prove without choice principles that any Boolean algebra arises from a special spectral space X via the compact regular open sets of X; these sets may also be described as those that are both compact open in X and regular open in the upset topology of the specialization order of X, allowing one to apply to an arbitrary Boolean algebra simple reasoning about regular opens of a separative poset. Our representation is therefore a mix of Stone and Tarski, with the two connected by Vietoris: the relevant spectral spaces also arise as the hyperspace of nonempty closed sets of a Stone space endowed with the upper Vietoris topology. This connection makes clear the relation between our point-set topological approach to choice-free Stone duality, which may be called the hyperspace approach, and a point-free approach to choice-free Stone duality using Stone locales. Unlike Stone’s representation of Boolean algebras via Stone spaces, our choice-free topological representation of Boolean algebras does not show that every Boolean algebra can be represented as a field of sets; but like Stone’s representation, it provides the benefit of a topological perspective on Boolean algebras, only now without choice. In addition to representation, we establish a choice-free dual equivalence between the category of Boolean algebras with Boolean homomorphisms and a subcategory of the category of spectral spaces with spectral maps. We show how this duality can be used to prove some basic facts about Boolean algebras. (shrink)

In an effort to disrupt the hegemonic dominance of learning theory, in this article Tyson Lewis explores the unique educational logic of studying. Drawing on the work of Giorgio Agamben, we can understand the operation of study as one of suspension through three modes: preferring not; no longer, not yet; and as not. But the relationship between the operation of suspension and the everyday mode of learning remains an open question requiring further analysis. In order to accomplish this task, (...) it is important to remember that for Agamben, study is a kind of profanation or improper life. Through examining Heidegger's analytic of Dasein's everyday being, Lewis demonstrates that the nature of study is always already saturated with the everyday, and is itself a contaminated process that is neither simply everyday living nor “authentic” existence. To be absolutely precise, the studier engages in idle talk, is curious, and is caught up in ambiguity in order to explore the seemingly uninhabitable zone that rests between everyday falling and authentically standing. Lewis concludes by offering Agamben's own work as a paradigm of study, illustrating how the smallest of freedoms opens to the studier: the freedom to dwell in potentiality. (shrink)

Epistemic closure has been a central issue in epistemology over the last forty years. According to versions of the relevant alternatives and subjunctivist theories of knowledge, epistemic closure can fail: an agent who knows some propositions can fail to know a logical consequence of those propositions, even if the agent explicitly believes the consequence (having “competently deduced” it from the known propositions). In this sense, the claim that epistemic closure can fail must be distinguished from the fact that agents do (...) not always believe, let alone know, the consequences of what they know—a fact that raises the “problem of logical omniscience” that has been central in epistemic logic. This paper, part I of II, is a study of epistemic closure from the perspective of epistemic logic. First, I introduce models for epistemic logic, based on Lewis’s models for counterfactuals, that correspond closely to the pictures of the relevant alternatives and subjunctivist theories of knowledge in epistemology. Second, I give an exact characterization of the closure properties of knowledge according to these theories, as formalized. Finally, I consider the relation between closure and higher-order knowledge. The philosophical repercussions of these results and results from part II, which prompt a reassessment of the issue of closure in epistemology, are discussed further in companion papers. As a contribution to modal logic, this paper demonstrates an alternative approach to proving modal completeness theorems, without the standard canonical model construction. By “modal decomposition” I obtain completeness and other results for two non-normal modal logics with respect to new semantics. One of these logics, dubbed the logic of ranked relevant alternatives, appears not to have been previously identified in the modal logic literature. More broadly, the paper presents epistemology as a rich area for logical study. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Buddhist-Christian Studies 23 (2003) 101-116 [Access article in PDF] Persons and Awareness Tyson Anderson Saint Leo University The aim of this essay is to relate Christianity and Buddhism through a consideration of two key terms, "persons" and "awareness," the first being central for Christianity and the second being central for Buddhism.The first thing that needs to be noticed is the relatively indefinable character of these words. I of (...) course intend to give as clear an indication as is possible concerning their meaning, but as I considered some of the important concepts that are involved in the topic—language, world, love, understanding—I began to realize that we are surely in the realm of mystery here. By "mystery" I mean something that we can understand somewhat but cannot comprehend, much as Saint Thomas Aquinas thought of God. 1 As is well known, LudwigWittgenstein believed that there is something mysterious even about language itself, that basically what it is can be "shown" but not "said." 2 A certain tentativeness here in regard to propositional adequacy, I might add, is perfectly compatible with strong confidence in one's relation to what Wittgenstein called "the higher." 3 In regard to the truth to be found in the beliefs of others, even a megapandit such as Ken Wilber—not noted for his modesty and circumspection—observes that "the human mind is incapable of producing 100% error." 4 Perhaps some misunderstandings among those engaging in dialogue can be avoided if we remain mindful of the mysterious character of the subject matter and are less confident about the sufficiency of our own articulation of the truth.As to dialogue itself, it is perhaps well to remember when the issues of "fruit salad" and syncretism arise, 5 that thinking itself has typically a dialogical structure, with the result that "fruit salad" is actually the normal condition of persons as they develop in understanding themselves and their world. 6 In conversation with Laurence Freeman, O.S.B., the Dalai Lama appears to disapprove of mixing traditions—"Do not try to put a yak's head on a sheep's body" 7 —but it would be difficult to conceive of a more syncretistic religion than Tibetan Buddhism or Catholicism. Indeed, if we compare the early Jesus movement to the medieval church, the development of Catholicism might well be described by Luther or Calvin, had they thought of it, as an operation that put a yak's head on a sheep's body. The dialogical and finite structure of thinking is in fact one of the reasons why it is possible to conceive of a "universal religion," contrary to what the Dalai Lama thinks. 8 This is so because, since human understanding is never absolute and completed, there is always the possibility that future [End Page 101] understanding will yield a vision that embraces a multiplicity and diversity of religious insights in a way that is impossible for us to foresee at this time. Moreover, part of the point of American culture, I would think, is the benefits of mongrelization, and so perhaps Americans ought to be less suspicious than some at the thought of having "strange bedfellows." Looking for historical examples of conscious syncretism, one thinks of Mani and Jesuit syncretism exemplified in Matteo Ricci (outfitted first as a Buddhist monk and then later as a Confucian scholar) and the evangelization of New Spain, 9 and more recently, Hazrat Inayat Khan and his son, Pir Vilayat Khan. Also, there is Jesaiah Ben-Aharon, a Jewish thinker who interprets the Holocaust in terms of the Christ. 10 I find such efforts to be commendable, and so although doctrinal and cultural immaculacy has its charms, I believe it to be the call of maya. I will proceed, then, in constructing a mysterious and miscegenational fruit salad, my only justification being that this seems to reflect accurately the truth of the matter and that we really have no other peaceable choice. 11 Persons "Person" is often used in the same sense as "human being." By "person" I mean a being who can love and who, as a human being, is the... (shrink)

We prove that the generalized cancellation axiom for incomplete comparative probability relations introduced by Rios Insua and Alon and Lehrer is stronger than the standard cancellation axiom for complete comparative probability relations introduced by Scott, relative to their other axioms for comparative probability in both the finite and infinite cases. This result has been suggested but not proved in the previous literature.

In this paper, Tyson E. Lewis challenges the dominant theoretical and practical educational responses to globalization. On the level of public policy, Lewis demonstrates the limitations of both neoliberal privatization and liberal calls for rehabilitating public schooling. On the level of pedagogy, Lewis breaks with the dominant liberal democratic tradition which focuses on the cultivation of democratic dispositions for cosmopolitan citizenship. Shifting focus, Lewis posits a new location for education out of bounds of the common sense of public versus (...) private, nationalism versus cosmopolitanism, inclusion versus exclusion, human versus civil rights. This is the space of the commonwealth whose actors cannot be identified as ‘citizens’ but are rather the anonymous multitude. In conclusion, Lewis finds a model for organizing this commonwealth in the work of Ivan Illich, whose learning networks speak to the urgent political and pedagogical need for exodus from the conceptual vocabulary that defines much of the contemporary field of educational theory. (shrink)

Today it would seem that being fatigued is a fairly common physical and psychological effect of educational systems based on an increasing demand for high-yield performance quotas. In higher education, ‘publish or perish’ is a kind of imperative to perform, perform better, and perform optimally leading to an overall economy of fatigue. In this paper we provide a critical theory of what we are calling the ‘fatigue university.’ While highlighting the negative costs of fatigue, we also provide a philosophical distinction (...) between tiredness and exhaustion that disrupts the biopolitics of fatigue from the inside. To do so, we turn to Gilles Deleuze and Giorgio Agamben whose writings on exhaustion point to its educational importance. Indeed, it is through the very ‘illnesses’ of exhaustion that the biopolitics of research can be problematized and opened up for new configurations. (shrink)