We prove that in theories without the tree property of the second kind (which include dependent and simple theories) forking and dividing over models are the same, and in fact over any extension base. As an application we show that dependence is equivalent to bounded non-forking assuming NTP 2.

We put in print a classical result that states that for most purposes, there is no harm in assuming the existence of saturated models in model theory. The presentation is aimed for model theorists with only basic knowledge of axiomatic set theory.

The notion of a complete type can be generalized in a natural manner to allow assigning a value in an arbitrary Boolean algebra $\mathcal {B}$ to each formula. We show some basic results regarding the effect of the properties of $\mathcal {B}$ on the behavior of such types, and show they are particularity well behaved in the case of NIP theories. In particular, we generalize the third author’s result about counting types, as well as the notion of a smooth type (...) and extending a type to a smooth one. We then show that Keisler measures are tied to certain Boolean types and show that some of the results can thus be transferred to measures—in particular, giving an alternative proof of the fact that every measure in a dependent theory can be extended to a smooth one. We also study the stable case. We consider this paper as an invitation for more research into the topic of Boolean types. (shrink)

We prove that in $\operatorname {NTP}_{\operatorname {2}}$ theories the dp-rank of a type can be witnessed by indiscernible sequences of tuples satisfying that type. If the type has dp-rank infinity, then this can be witnessed by singletons.

A theory [Formula: see text] is said to have exact saturation at a singular cardinal [Formula: see text] if it has a [Formula: see text]-saturated model which is not [Formula: see text]-saturated. We show, under some set-theoretic assumptions, that any simple theory has exact saturation. Also, an NIP theory has exact saturation if and only if it is not distal. This gives a new characterization of distality.

We introduce the class of unshreddable theories, which contains the simple and NIP theories, and prove that such theories have exactly saturated models in singular cardinals, satisfying certain set-theoretic hypotheses. We also give criteria for a theory to have singular compactness.

We provide a new criterion for embedding.

Combining two results from machine learning theory we prove that a formula is NIP if and only if it satisfies uniform definability of types over finite sets. This settles a conjecture of La...

Combining two results from machine learning theory we prove that a formula is NIP if and only if it satisfies uniform definability of types over finite sets. This settles a conjecture of La...

In this note we prove and disprove some chain conditions in type definable and definable groups in dependent, strongly dependent and strongly2 dependent theories.

We use exact saturation to study the complexity of unstable theories, showing that a variant of this notion called pseudo-elementary class (PC)-exact saturation meaningfully reflects combinatorial dividing lines. We study PC-exact saturation for stable and simple theories. Among other results, we show that PC-exact saturation characterizes the stability cardinals of size at least continuum of a countable stable theory and, additionally, that simple unstable theories have PC-exact saturation at singular cardinals satisfying mild set-theoretic hypotheses. This had previously been open even (...) for the random graph. We characterize supersimplicity of countable theories in terms of having PC-exact saturation at singular cardinals of countable cofinality. We also consider the local analog of PC-exact saturation, showing that local PC-exact saturation for singular cardinals of countable cofinality characterizes supershort theories. (shrink)

We show that the countable universal homogeneous meet-tree has a generic automorphism, but does not have a generic pair of automorphisms.

We investigate the notions of strict independence and strict non-forking, and establish basic properties and connections between the two. In particular, it follows from our investigation that in resilient theories strict non-forking is symmetric. Based on this study, we develop notions of weight which characterize NTP2, dependence and strong dependence. Many of our proofs rely on careful analysis of sequences that witness dividing. We prove simple characterizations of such sequences in resilient theories, as well as of Morley sequences which are (...) witnesses. As a by-product we obtain information on types co-dominated by generically stable types in dependent theories. For example, we prove that every Morley sequence in such a type is a witness. (shrink)

For a centerless group G, we can define its automorphism tower. We define G α : G 0 = G, G α+1 = Aut(G α ) and for limit ordinals ${G^{\delta}=\bigcup_{\alpha<\delta}G^{\alpha}}$ . Let τ G be the ordinal when the sequence stabilizes. Thomas’ celebrated theorem says ${\tau_{G}<(2^{|G|})^{+}}$ and more. If we consider Thomas’ proof too set theoretical (using Fodor’s lemma), we have here a more direct proof with little set theory. However, set theoretically we get a parallel theorem without the (...) Axiom of Choice. Moreover, we give a descriptive set theoretic approach for calculating an upper bound for τ G for all countable groups G (better than the one an analysis of Thomas’ proof gives). We attach to every element in G α , the αth member of the automorphism tower of G, a unique quantifier free type over G (which is a set of words from ${G*\langle x\rangle}$ ). This situation is generalized by defining “(G, A) is a special pair”. (shrink)

In this paper, I discuss the teacher’s role in Laclaudian democratic education in light of the notion of the organic intellectual as proposed by Antonio Gramsci. Unlike common readings of the figure of the organic intellectual, where it is understood as developing organically from within the ranks of the oppressed, I argue that the term “organic” also refers to organization, and that the role of the organic intellectual is to be a political organizer. In contrast to the figure of the (...) charismatic leader to which Laclau and Mouffe often appeal, a political organizer works dialogically, without altogether renouncing the position of active leadership. I argue, accordingly, that the democratic teacher should be an organizer who creates for the students the conditions for articulating their demands and identities and strives to stir the emerging political subjects in a democratic direction, namely against oppressive elites and mechanisms rather than other oppressed groups. (shrink)

The central aim of this paper is to shed light on the nature of explanation in computational neuroscience. I argue that computational models in this domain possess explanatory force to the extent that they describe the mechanisms responsible for producing a given phenomenon—paralleling how other mechanistic models explain. Conceiving computational explanation as a species of mechanistic explanation affords an important distinction between computational models that play genuine explanatory roles and those that merely provide accurate descriptions or predictions of phenomena. It (...) also serves to clarify the pattern of model refinement and elaboration undertaken by computational neuroscientists. (shrink)

This chapter examines the role of narratives in our understanding of the relationship between food, agriculture, and the environment. Narratives are the most comprehensive way of representing things that have a historical dimension. They are crucial for putting events into context, portraying characters, and depicting scenarios. The chapter argues that environmental ethics needs to embrace the “narrative turn” in order to account for the diversity of ethical issues surrounding food, agriculture, and the environment, as well as to connect overarching stories (...) about food systems to our everyday lives. It identities several narratives commonly seen in the United States that frame the way we understand food and environmental issues. A narrative approach provides an alternative to theory-driven environmental ethics toward practical, non-academic focus on actual problems and solutions. (shrink)

Current attempts by historians of science to revise the narrative of the Scientific Revolution by using the concept of the Baroque have important implications for art history. Correspondences between baroque art and baroque science gain new complexity when the rational, epistemologically optimistic image of the New Science is put in doubt. Rather than a method of objective observation, early seventeenth‐century science and art share an acceptance of the constructed nature of reality, of human epistemological limitations and of the role of (...) passions in the observation of the world. While Caravaggio has revolutionised art precisely through his interest in questions of knowledge and sensorial perception and by his subversive transformation of Renaissance epistemological values and ideals, this article concentrates on the work of Jusepe de Ribera, who made the senses and their shortcomings a major theme of his pictorial research. Ribera's epistemology is examined in the context of contemporary Neapolitan philosophy and science. Through the confrontation of some of the Spagnoletto's paintings with the work of figures such as Giovanni Battista della Porta, Federico Cesi and particularly Colantonio Stigliola, it becomes clear that early modern Neapolitan faith in rational knowledge was more ambiguous than is sometimes assumed. (shrink)

This article attempts to think of thinking as the essence of critical education. While contemporary education tends to stress the conveying of knowledge and skills needed to succeed in present-day information society, the present article turns to the work of Theodor W. Adorno to develop alternative thinking about education, thinking, and the political significance of education for thinking. Adorno touched upon educational questions throughout his writings, with growing interest in the last ten years of his life. Education, he argues following (...) Kant, must enable students to think for themselves and to break free of the authority of teachers, parents and other adults. Nevertheless, in his discussions of education Adorno says little about the nature of thinking, and the secondary literature on his educational theory addresses this question only cursorily. Important claims on the nature of thinking do appear elsewhere in Adorno's work. From his early writings up to Negative Dialectics, Adorno is preoccupied with thinking, sketching the outlines of critical-dialectical thought. Still, these reflections rarely touch upon educational questions, and the Adorno scholarship has yet to establish this link. Unlike studies which read Adorno's educational thought against the backdrop of the history of education and the German Bildung tradition, or in relation to art and aesthetics, the present article brings together Adorno's ideas on education and thinking in an attempt to contribute both to the Adorno scholarship and to the growing field of education for thinking. (shrink)

Louis Althusser remained until his death in 1990 the most controversial of the “master thinkers” who emerged from the turbulent Parisian intellectual scene of the 1960s. The publication of his bestselling posthumous “autobiography”, L'avenir dure longtemps, has now refueled some of these controversies. Hugely influential, whether lauded or vilified, Althusser occupies a unique place in contemporary philosophy. What is certain is that Althusserian themes and motifs continue to constitute a vital region in materialist thought. The Althusserian Legacy is the first (...) collective attempt to draw up a balance sheet, not on Althusser alone but on the questions that his work helped to bring to the forefront of Marxist theory. The volume brings together work in history, philosophy, economics, sociology, and literary criticism, all of it derived from or significantly inflected by Althusser. Taken together, the essays assess soberly, critically, but always generously, the full extent of his legacy. The volume contains a lengthy interview with Jacques Derrida, a long-time friend and colleague of Althusser at the Ecole Normale in Paris, and concludes with obituaries by Derrida and Gregory Elliott. Perhaps only now, more than a decade after his active intellectual life has come to a close, is it possible to render sound, just judgments on the meaning and significance of this much-debated body of work. The Althusserian Legacy is a rich beginning to that important task. (shrink)

Is the relationship between psychology and neuroscience one of autonomy or mutual constraint and integration? This volume includes new papers from leading philosophers seeking to address this issue by deepening our understanding of the similarities and differences between the explanatory patterns employed across these domains.

This paper introduces cosmopsychism as a holistic alternative to atomistic panpsychism, and as a general perspective on the metaphysics of consciousness. I begin with some necessary background details concerning contemporary panpsychism and the problems it faces, and then proceed to the theory itself. The starting point of the theory is the assumption that an all pervading cosmic consciousness is the single ontological ultimate. From this assumption, a panpsychist ontology of mind with distinct holistic overtones is developed. In particular, I argue (...) that such universal consciousness serves as the ground for the emergence of individual conscious creatures. The result is a theory with significant conceptual resources which presents novel means for confronting some of the most recalcitrant problems facing contemporary panpsychism: in particular, the subject combination problem, and the problem of entailment associated with it. In so doing, cosmopsychism places itself as an viable alternative to atomi... (shrink)

The tree property at κ+ states that there are no Aronszajn trees on κ+, or, equivalently, that every κ+ tree has a cofinal branch. For singular strong limit cardinals κ, there is tension between the tree property at κ+ and failure of the singular cardinal hypothesis at κ; the former is typically the result of the presence of strongly compact cardinals in the background, and the latter is impossible above strongly compacts. In this paper, we reconcile the two. We prove (...) from large cardinals that the tree property at κ+ is consistent with failure of the singular cardinal hypothesis at κ. (shrink)

This paper explores cosmopsychism’s explanatory aspirations from a programmatic perspective. The bulk of the text consists of an argument in favor of the conclusion that cosmopsychism suffers from no insurmountable individuation problem. I argue that the widespread tendency to view IND as a mirror-image of micropsychism’s combination problem is mistaken. In particular, what renders CP insolvable, namely, the commitment to the coupling of phenomenal constitution with phenomenal inclusion, is, from the standpoint of cosmopsychism, an entirely nonmandatory assumption. I proceed to (...) show that severing this unhappy coupling is the key for defending cosmopsychism against the charge of theoretical incoherence. Moreover, I argue that successful defense against such accusation could be mounted regardless of whether or not we assume cosmic consciousness to be perspectival in nature. In addition, the paper touches upon another foundational issue: cautioning against the popular tendency to identify cosmopsychism’s monism with a mereological unity-in-diversity, and motivating an alternative conception which I call generative monism. Finally, as befitting this volume, I pause to reflect upon the question of which schools of Hindu philosophy might tally best, and connect most fruitfully, with cosmopsychism as I understand it. (shrink)

This paper outlines a theory of radical democratic education by addressing a key concept in Laclau and Mouffe’s Hegemony and Socialist Strategy: articulation. Through their concept of articulation, Laclau and Mouffe attempt to liberate Gramsci’s theory of hegemony from Marxist economism, and adapt it to a political sphere inhabited by a plurality of struggles and agents none of which is predominant. However, while for Gramsci the political process of hegemony formation has an explicit educational dimension, Laclau and Mouffe ignore this (...) dimension altogether. My discussion starts with elaborating the concept of articulation and analysing it in terms of three dimensions: performance, connection and transformation. I then address the role of education in Gramsci’s politics, in which the figure of the intellectual is central, and argue that radical democratic education requires renouncing that figure. In the final section, I offer a theory of such education, in which both teacher and students articulate their political differences and identities. (shrink)

In the marketplace of opinions concerning the metaphysics of mind and consciousness panqualityism (PQ) occupies an interesting position. It is a distinct variant of neutral monism, as well as of protophenomenalism, and as such it strives to carve out a conceptual niche midway between physicalism and mentalism. It is also a brand of Russellian monism, advocated by its supporters as a less costly and less extravagant alternative to panpsychism. Being clearly articulated and relatively well-developed it constitutes an intriguing view. Nonetheless, (...) the present paper takes a decisively critical stance towards PQ. In particular, it challenges it on two principal grounds. First, I argue that PQ's analysis of experience, and of the qualities tasked with constituting the phenomenal character of experience, is fundamentally flawed. Second, I argue that PQ's attempt to explain phenomenal consciousness as a function of reflective awareness is equally misguided. Along the way, the paper also points the shortcomings of previously established critiques of PQ. All in all, the discussion identifies some difficulties that are likely to generalize beyond PQ's specific circumstances, raising concerns regarding the viability of a "middle of the road" solution to the mind–body problem. (shrink)

According to a widespread view, one of the most important roles of education is the nurturing of common sense. In this article I turn to Gilles Deleuze’s concept of sense to develop a contrary view of education—one that views education as a radical challenge to common sense. The discussion will centre on the relation of sense and common sense to thinking. Although adherents of common sense refer to it as the basis of all thought and appeal to critical thinking as (...) instrumental in eliminating its occasional errors, I shall argue, following Deleuze, that common sense education in fact thwarts thinking, while only education which revolves around making sense may provoke thinking that goes beyond the self-evident. I demonstrate how making sense can become an educational encounter that breaks hierarchies and generates thinking independently of the thinker’s knowledge and place in the sociopolitical order. The present article attempts, therefore, to put some sense into Deleuzian education for thinking, and thereby shed new light on its radical-political, counter-commonsensical power. (shrink)

The aim of this paper is twofold. First, our purpose is to propose and motivate a novel and scientifically informed variant of cosmopsychism, namely, the view that the experiences of ordinary subjects are ultimately grounded in an all-pervading cosmic consciousness. Second, we will demonstrate that this approach generates promising avenues for addressing familiar problems of phenomenal constitution. We use stochastic electrodynamics (SED) as the physical bedrock of our approach, supplementing it with key insights about the nature of consciousness long emphasized (...) in eastern philosophy and other wisdom traditions. We proceed to show that our approach substantiates an intriguing way of thinking about the dynamical emergence of ordinary consciousness from cosmic consciousness, identifying the latter with the vacuum state of quantum field theory. Finally, we argue that the present approach is well suited to address problems of phenomenal constitution, in particular as they pertain to the qualities and structure of experience and to the generation of subjects. (shrink)

Post-critical pedagogy, which offers a significant alternative to the dominant trends in contemporary philosophy of education, objects to seeing education as instrumental to other ends: it attempts to conceive of education as autotelic, namely as having intrinsic value. While there are good reasons for accepting the post-critical reservations with the instrumentalization of education, I argue that its autonomy is equally problematic, as it risks turning the philosophy of education—perhaps education itself—into a privileged activity, out of touch with the most important (...) issues in the contemporary world. In this paper I offer post-critical pedagogy a way out of this dilemma, by drawing on Walter Benjamin’s essay “The Work of Art in the Age of Its Technological Reproducibility”. After presenting the thesis concerning the autonomy of art held by Benjamin’s Frankfurt School friends, and pointing to the similarity between their view and that of post-critical pedagogy, I articulate six Benjaminian theses on post-critical pedagogy. Following Benjamin’s claim that the technological reproducibility of art changes the way it is perceived as well as its political function, I argue that school is an educational technology that reproduces the world to the masses without an “aura”, in a way that allows for political critique that does not reduce education to politics. Next, I highlight the importance of the school to post-critical pedagogy, and contribute to developing the critical-political aspect that remains essential to post-critical pedagogy. Finally, the Benjaminian perspective also makes it possible to reflect on the relation of digital technologies of reproduction to post-critical pedagogy. (shrink)

Arendt's concept of common sense has generally been misunderstood. It is almost exclusively interpreted in light of Kant's common sense, either as an espousal of the latter or as a distortion of it. This narrow reading of Arendtian common sense has led to a problem, as her uses of the concept do not always fit its Kantian understanding. This has led to accusing her of being inconsistent, or as holding on to several, incompatible concepts of common sense.This article argues that (...) Arendt has one complex concept of common sense, used more or less consistently throughout her writings. Rather than understanding Arendt's common sense in light of Kant's, as most readers do, I demonstrate its links to Aristotle and to the eighteenth‐century Scottish school of common sense. By doing so I turn attention to a difficulty that has thus far not been adequately treated, namely the fact that Arendt presents two, allegedly contradictory pictures of the relation between common sense on the one hand and science and philosophy on the other: a picture in which science and philosophy depend upon common sense, versus one in which they find themselves in a conflict that eventually leads to the loss or demise of common sense. The last part of the article suggests a way to settle the tension between these two pictures, by understanding the political significance Arendt ascribes to them as two distinct yet complementary ways of approaching the modern phenomenon of totalitarianism. (shrink)

Expressivism in logic is the view that logical vocabulary plays a primarily expressive role: that is, that logical vocabulary makes perspicuous in the object language structural features of inference and incompatibility (Brandom, 1994, 2008). I present a precise, technical criterion of expressivity for a logic (§2). I next present a logic that meets that criterion (§3). I further explore some interesting features of that logic: first, a representation theorem for capturing other logics (§3.1), and next some novel logical vocabulary for (...) expressing structural features of inference (§4). (shrink)

Since the late 1970s, theologians have been attempting to integrate mimetic theory into different fields of theology, yet a distrust of mimetic theory persists in some theological camps. In" Rene Girard, Unlikely Apologist: Mimetic Theory and Fundamental Theology," Grant Kaplan brings mimetic theory into conversation with theology both to elucidate the relevance of mimetic theory for the discipline of fundamental theology and to understand the work of Rene Girard within a theological framework. Rather than focus on Christology or atonement (...) theory as the locus of interaction between Girard and theology, Kaplan centers his discussion on the apologetic quality of mimetic theory and the impact of mimetic theory on fundamental theology, the subdiscipline that grew to replace apologetics. His book explores the relation between Girard and fundamental theology in several keys. In one, it understands mimetic theory as a heuristic device that allows theological narratives and positions to become more intelligible and, by so doing, makes theology more persuasive. In another key, Kaplan shows how mimetic theory, when placed in dialogue with particular theologians, can advance theological discussion in areas where mimetic theory has seldom been invoked. On this level the book performs a dialogue with theology that both revisits earlier theological efforts and also demonstrates how mimetic theory brings valuable dimensions to questions of fundamental theology. "Grant Kaplan's" Rene Girard, Unlikely Apologist: Mimetic Theory and Fundamental Theology" is an accessible and original work advancing the discussion of Girard and theology. Kaplan claims mimetic theory for Catholic theology and shows how it can strengthen Catholic theology by providing a powerful apologetic. Immensely helpful, too, is his situating of Girard's work alongside formative theologians and other thinkers." Scott Cowdell, author of "Rene Girard and Secular Modernity: Christ, Culture, and Crisis" ". (shrink)

The republican political tradition, which originated in Ancient Rome and picked up by several early-modern thinkers, has been revived in the last couple of decades following the seminal works of historian Quentin Skinner and political theorist Philip Pettit. Although educational questions do not normally occupy the center stage in republican theory, various theorists working within this framework have already highlighted the significance of education for any functioning republic. Looking at educational questions through the lens of freedom as non-domination has already (...) yielded important insights to discussions of political education. However, consideration of the existing republican educational discourse in light of the wide range of issues discussed in Pettit’s recent works reveals that it suffers from two major lacunae. First, it does not take into consideration the distinction between democracy and social justice that has become central to Pettit’s republicanism. Thus, the current discussion focuses almost exclusively on education for democratic citizenship and hardly touches upon social justice. Second, the current literature thinks mainly in terms of educating future citizens, rather than conceiving of students also as political agents in the present, and of school itself as a site of non-domination. This paper aims at filling these voids, and it will therefore be oriented along two intersecting axes: the one between democracy and justice, and the other between future citizenship in the state and present citizenship at school. The resulting four categories will organize the discussion: future citizens and democracy; future citizens and social justice; present citizens and democracy; present citizens and social justice. This will not only enable us to draw a clearer line between the civic republican and liberal educational theories, but also make civic republican education a viable alternative to current educational approaches. (shrink)