In recent epistemology, belief polarization is generally defined as a process by which a disagreement on a single proposition becomes more extreme over time. Outside of the philosophical literature, however, ‘polarization’ is often used for a different epistemic phenomenon, namely the process by which people’s beliefs on unrelated topics become increasingly correlated over time. This paper argues that the latter type of polarization, here labeled interthematic polarization, is often rational from each individual’s point of view. This suggests that belief polarization (...) is not necessarily a failure of individual rationality, but instead a failure of the social structures within which we live our epistemic lives. (shrink)

In this paper we present the results of a simulation study of credence developments in groups of communicating Bayesian agents, as they update their beliefs about a given proposition p. Based on the empirical literature, one would assume that these groups of rational agents would converge on a view over time, or at least that they would not polarize. This paper presents and discusses surprising evidence that this is not true. Our simulation study shows that these groups of Bayesian agents (...) show group polarization behavior under a broad range of circumstances. This is, we think, an unexpected result, that raises deeper questions about whether the kind of polarization in question is irrational. If one accepts Bayesian agency as the hallmark of epistemic rationality, then one should infer that the polarization we find is also rational. On the other hand, if we are inclined to think that there is something epistemically irrational about group polarization, then something must be off in the model employed in our simulation study. We discuss several possible interfering factors, including how epistemic trust is defined in the model. Ultimately, we propose that the notion of Bayesian agency is missing something in general, namely the ability to respond to higher-order evidence. (shrink)

The scalar approach to negative polarity item (NPI) licensing assumes that NPIs are allowable in contexts in which the introduction of the NPI leads to proposition strengthening (e.g., Kadmon & Landman 1993, Krifka 1995, Lahiri 1997, Chierchia 2006). A straightforward processing prediction from such a theory is that NPI’s facilitate inference verification from sets to subsets. Three experiments are reported that test this proposal. In each experiment, participants evaluated whether inferences from sets to subsets were valid. Crucially, we manipulated whether (...) the premises contained an NPI. In Experiment 1, participants completed a metalinguistic reasoning task, and Experiments 2 and 3 tested reading times using a self-paced reading task. Contrary to expectations, no facilitation was observed when the NPI was present in the premise compared to when it was absent. In fact, the NPI significantly slowed down reading times in the inference region. Our results therefore favor those scalar theories that predict that the NPI is costly to process (Chierchia 2006), or other, nonscalar theories (Giannakidou 1998, Ladusaw 1992, Postal 2005, Szabolcsi 2004) that likewise predict NPI processing cost but, unlike Chierchia (2006), expect the magnitude of the processing cost to vary with the actual pragmatics of the NPI. (shrink)

Frege famously argued that truth is not a property or relation. In the “Notes on Logic” Wittgenstein emphasised the bi-polarity of propositions which he called their sense. He argued that “propositions by virtue of sense cannot have predicates or relations.” This led to his fundamental thought that the logical constants do not represent predicates or relations. The idea, however, has wider ramifications than that. It is not just that propositions cannot have relations to other propositions but (...) also that they cannot have relations to anything at all. The paper explores the consequences of this insight for the way in which we should read the Tractatus. In the “Notes on Logic” the insight led to Wittgenstein's emphasis on “facts” in any attempt to understand the nature of symbolism. This emphasis is continued in the Tractatus. It is central to his view that propositions are facts which picture facts which prevent us from construing such picturing as a relation between what pictures and what is pictured. It illuminates the importance of context principle with regard to the distinction between showing and saying to which Wittgenstein attached so much importance and it underlies the non-relational view of psychological propositions which he advocates. Finally, if propositions by virtue of sense cannot have predicates or relations the paradox at the end of a work which consist largely of propositions about propositions becomes intelligible. (shrink)

This paper examines distinctive discourse properties of preposed negative 'yes/no' questions (NPQs), such as 'Isn’t Jane coming too?'. Unlike with other 'yes/no' questions, using an NPQ '∼p?' invariably conveys a bias toward a particular answer, where the polarity of the bias is opposite of the polarity of the question: using the negative question '∼p?' invariably expresses that the speaker previously expected the positive answer p to be correct. A prominent approach—what I call the context-management approach, developed most extensively by Romero (...) and Han (2004)—attempts to capture speaker expectation biases by treating NPQs fundamentally as epistemic questions about the proper discourse status of a proposition. I raise challenges for existing context-managing accounts to provide more adequate formalizations of the posited context-managing content, its implementation in the compositional semantics and discourse dynamics, and its role in generating the observed biases. New data regarding discourse differences between NPQs and associated epistemic modal questions are introduced. I argue that we can capture the roles of NPQs in expressing speakers’ states of mind and managing the discourse common ground without positing special context-managing operators or treating NPQs as questions directly about the context. I suggest that we treat the operator introduced with preposed negation as having an ordinary semantics of epistemic necessity, though lexically associated with a general kind of endorsing use observed with modal expressions. The expressive and context-managing roles of NPQs are explained in terms of a general kind of discourse-oriented use of context-sensitive language. The distinctive expectation biases and discourse properties observed with NPQs are derived from the proposed semantics and a general principle of Discourse Relevance. (shrink)

The main focus of this article is the occurrence of some polarity items (PIs) in the complements of emotive factive verbs and only. This fact has been taken as a challenge to the semantic approach to PIs (Linebarger 1980), because only and factive verbs are not downward entailing (DE). A modification of the classical DE account is proposed by introducing the notion of nonveridicality (Zwarts 1995, Giannakidou 1998, 1999, 2001) as the one crucial for PI sanctioning. To motivate this move, (...) it is first shown that two solutions in the direction of weakening classical monotonicity do not work: Strawson DE (von Fintel 1999) and weak DE (Hoeksema 1986). Weakening DE systematically either overgenerates or undergenerates, in either case failing to characterize the correct set of licensers. Nonveridicality is introduced as a conservative extension of DE and is shown to account for PIs also in contexts that are not DE (i.e. questions, modal verbs, imperatives, directive propositional attitudes). This theory, augmented with the premise that certain PIs (i.e. the liberal class represented by any) are subject to a weaker polarity dependency identified not as LICENSING but as RESCUING by nonveridicality, explains the occurrence of this particular class with only and emotive factive verbs. Crosslinguistic comparisons illustrate that the occurrence of PIs with only and emotive factives is not a general phenomenon, and further support the dual nature of polarity dependency and the semantic characterization of the elements that license or rescue PIs. (shrink)

Preface -- Part I: Philosophical logic and philosophy of language -- Rules versus theorems : a new approach for mediation -- Between intuitionistic and two-valued logic -- On the relation between the partition of a whole into parts and the attribution of properties to an object -- Basic objectives of dialogic logic in historical perspective -- Pragmatic and semiotic prerequisites for predication : a dialogue model -- Pragmatics and semiotics : the peircean version of ontology and epistemology -- Intentionality and (...) its language-dependency -- Meaning postulates and rules of argumentation : remarks concerning the pragmatic tie between meaning (of terms) and truth (of propositions) -- What do language games measure? -- Features of Indian logic -- Part II: Methods in philosophy, in art, and in science -- The concept of science : some remarks on the methodological issue construction versus description in the philosophy of science -- Is and ought revisited -- Competition and cooperation : are they antagonistic or complementary? -- Another version of methodological dualism -- The pre-established harmony between the two Adams -- On the way to conceptual and perceptual knowledge -- Self and other : remarks on human nature and human culture -- On the concept of symmetry -- Procedural principles of the Eerlangen School : on the interrelation between the principles of method, of dialogue, and of reason. (shrink)

In this paper, we propose an analysis of metalinguistic comparatives (MCs) in Greek and Korean which combines an attitudinal semantics (Giannakidou and Stavrou 2008) with an expressive component. The comparative morpheme supplies the former, and the than-particle supplies the latter. Following Giannakidou and Stavrou, we assume that the MC involves the speaker’s attitude towards the than-proposition— which is deemed less appropriate or preferable— and we discuss novel data from Korean showing a two way distinction between “regular” MCs (signaled by the (...) particle kipota), and negative MCs (signaled by charari “rather” and the particle nuni). We argue that the use of MC than particles, in all variants, brings about an individual’s emotive state, and propose that the morphemes contain expressive indices in the sense of Potts 2007. Indices allow a range from mildly negative to very negative stance, so we capture the fact that expressive particles convey negativity, without positing negation in syntax— a result consistent with the fact that MC-than itself does not license strong NPIs that need negation. We further show that NPI sanctioning in comparatives is very limited, contrary to what is generally thought. Besides NPI-sanctioning, this analysis has two, we believe, important implications. First, it allows the generalization that metalinguistic functions in language are indeed part of the grammar as a combination of attitude semantics and expressivity. Additionally, our use of expressive indices supports Potts’s view of the expressive component as separate, but interacting, with the descriptive content. Finally, we show that the than particle is not vacuous (as is generally believed) but contentful: it is the locus of the interaction between descriptive and expressive meaning in the comparative. (shrink)

I define sublaltices of quantum propositions that can be taken as having determinate (but perhaps unknown) truth values for a given quantum state, in the sense that sufficiently many two-valued maps satisfying a Boolean homomorphism condition exist on each determinate sublattice to generate a Kolmogorov probability space for the probabilities defined by the slate. I show that these sublattices are maximal, subject to certain constraints, from which it follows easily that they are unique. I discuss the relevance of this (...) result for the measurement problem, relating it to an early proposal by Jauch and Piron for defining a new notion of state for quantum systems, to a recent uniqueness proof by Clifton for the sublattice of propositions specified as determinate by modal interpretations of quantum mechanics that exploit the polar decompostion theorem, and to my own previous suggestions for interpreting quantum mechanics without the projection postulate. (shrink)

This article explores the existential conditions for a transition towards socioeconomic degrowth through an analysis of a paradigm shift between two extreme polarities of socio-ecological positioning: the Dominant Social Paradigm (DSP) and the New Ecological Paradigm (NEP). It is suggested that the transition from one to the other - understood as the first collective step towards degrowth - requires a transformation in the way we, in western capitalist society, define ourselves in relation to nature. This identity transformation corresponds with the (...) reconnection between humans and nature that ecopsychology has been calling for since its emergence in the 1970s. However, according to recent empirical studies in existential psychology, such a transformation contains potentially disquieting aspects, since it implies recognising and accepting the idea of our own mortality. Staging a dialogue between ecopsychology and critical degrowth theories, this article argues that the necessary transition towards degrowth requires new ways of dealing with these existential fears - namely, confronting them in a 'reflexive' rather than 'defensive' way - so as to develop relationships with nature that respect the limits of the biosphere. (shrink)

Abstract. The aim of this paper is to present a topological method for constructing discretizations (tessellations) of conceptual spaces. The method works for a class of topological spaces that the Russian mathematician Pavel Alexandroff defined more than 80 years ago. Alexandroff spaces, as they are called today, have many interesting properties that distinguish them from other topological spaces. In particular, they exhibit a 1-1 correspondence between their specialization orders and their topological structures. Recently, a special type of Alexandroff spaces was (...) used by Ian Rumfitt to elucidate the logic of vague concepts in a new way. According to his approach, conceptual spaces such as the color spectrum give rise to classical systems of concepts that have the structure of atomic Boolean algebras. More precisely, concepts are represented as regular open regions of an underlying conceptual space endowed with a topological structure. Something is subsumed under a concept iff it is represented by an element of the conceptual space that is maximally close to the prototypical element p that defines that concept. This topological representation of concepts comes along with a representation of the familiar logical connectives of Aristotelian syllogistics in terms of natural settheoretical operations that characterize regular open interpretations of classical Boolean propositional logic. In the last 20 years, conceptual spaces have become a popular tool of dealing with a variety of problems in the fields of cognitive psychology, artificial intelligence, linguistics and philosophy, mainly due to the work of Peter Gärdenfors and his collaborators. By using prototypes and metrics of similarity spaces, one obtains geometrical discretizations of conceptual spaces by so-called Voronoi tessellations. These tessellations are extensionally equivalent to topological tessellations that can be constructed for Alexandroff spaces. Thereby, Rumfitt’s and Gärdenfors’s constructions turn out to be special cases of an approach that works for a more general class of spaces, namely, for weakly scattered Alexandroff spaces. This class of spaces provides a convenient framework for conceptual spaces as used in epistemology and related disciplines in general. Alexandroff spaces are useful for elucidating problems related to the logic of vague concepts, in particular they offer a solution of the Sorites paradox (Rumfitt). Further, they provide a semantics for the logic of clearness (Bobzien) that overcomes certain problems of the concept of higher2 order vagueness. Moreover, these spaces help find a natural place for classical syllogistics in the framework of conceptual spaces. The crucial role of order theory for Alexandroff spaces can be used to refine the all-or-nothing distinction between prototypical and nonprototypical stimuli in favor of a more fine-grained gradual distinction between more-orless prototypical elements of conceptual spaces. The greater conceptual flexibility of the topological approach helps avoid some inherent inadequacies of the geometrical approach, for instance, the so-called “thickness problem” (Douven et al.) and problems of selecting a unique metric for similarity spaces. Finally, it is shown that only the Alexandroff account can deal with an issue that is gaining more and more importance for the theory of conceptual spaces, namely, the role that digital conceptual spaces play in the area of artificial intelligence, computer science and related disciplines. Keywords: Conceptual Spaces, Polar Spaces, Alexandroff Spaces, Prototypes, Topological Tessellations, Voronoi Tessellations, Digital Topology. (shrink)

A person’s epistemic goals sometimes clash with pragmatic ones. At times, rational agents will degrade the quality of their epistemic process in order to satisfy a goal that is knowledge-independent (for example, to gain status or at least keep the peace with friends.) This is particularly so when the epistemic quest concerns an abstract political or economic theory, where evidence is likely to be softer and open to interpretation. Before wide-scale adoption of the Internet, people sought out or stumbled upon (...) evidence related to a proposition in a more random way. And it was difficult to aggregate the evidence of friends and other similar people to the exclusion of others, even if one had wanted to. Today, by contrast, the searchable Internet allows people to simultaneously pursue social and epistemic goals.This essay shows that the selection effect caused by a merging of social and epistemic activities will cause both polarization in beliefs and devaluation of expert testimony. This will occur even if agents are rational Bayesians and have moderate credences before talking to their peers. What appears to be rampant dogmatism could be just as well explained by the nonrandom walk in evidence-gathering. This explanation better matches the empirical evidence on how people behave on social media platforms. It also helps clarify why media outlets (not just the Internet platforms) might have their own pragmatic reasons to compromise their epistemic goals in today’s competitive and polarized information market. Yet, it also makes policy intervention much more difficult, since we are unlikely to neatly separate individuals’ epistemic goals from their social ones. (shrink)

Semantic information is usually supposed to satisfy the veridicality thesis: p qualifies as semantic information only if p is true. However, what it means for semantic information to be true is often left implicit, with correspondentist interpretations representing the most popular, default option. The article develops an alternative approach, namely a correctness theory of truth (CTT) for semantic information. This is meant as a contribution not only to the philosophy of information but also to the philosophical debate on the nature (...) of truth. After the introduction, in Sect. 2, semantic information is shown to be translatable into propositional semantic information (i). In Sect. 3, i is polarised into a query (Q) and a result (R), qualified by a specific context, a level of abstraction and a purpose. This polarization is normalised in Sect. 4, where [Q + R] is transformed into a Boolean question and its relative yes/no answer [Q + A]. This completes the reduction of the truth of i to the correctness of A. In Sects. 5 and 6, it is argued that (1) A is the correct answer to Q if and only if (2) A correctly saturates Q by verifying and validating it (in the computer science’s sense of “verification” and “validation”); that (2) is the case if and only if (3) [Q + A] generates an adequate model (m) of the relevant system (s) identified by Q; that (3) is the case if and only if (4) m is a proxy of s (in the computer science’s sense of “proxy”) and (5) proximal access to m commutes with the distal access to s (in the category theory’s sense of “commutation”); and that (5) is the case if and only if (6) reading/writing (accessing, in the computer science’s technical sense of the term) m enables one to read/write (access) s. Sect. 7 provides some further clarifications about CTT, in the light of semantic paradoxes. Section 8 draws a general conclusion about the nature of CTT as a theory for systems designers not just systems users. In the course of the article all technical expressions from computer science are explained. (shrink)

This paper examines the proposition advanced by Sunstein and other scholars that political online forums tend to be characterized by in-group homogeneity and group polarization. The paper adopts a process view of online forums and examines discussions within a time perspective. Five discussion lines on Climategate.nl are investigated. The research focuses on how participants react to the participation of dissidents and on the resulting processes of inclusion and exclusion. Climategate.nl moved in the direction of an ‘echo chamber’ gradually over time. (...) Nevertheless, the forum was never completely homogeneous. The editors played an active role in the inclusion and exclusion of dissidents. A counter-steering moderation policy is needed to keep group polarization and homogenization within certain limits. (shrink)

A Choice Outstanding Academic Title for 1999 Academic debates about pluralism and truth have become increasingly polarized in recent years. One side embraces extreme relativism, deeming any talk of objective truth as philosophically naïve. The opposition, frequently arguing that any sort of relativism leads to nihilism, insists on an objective notion of truth according to which there is only one true story of the world. Both sides agree that there is no middle path. In Truth in Context, Michael Lynch argues (...) that there is a middle path, one where metaphysical pluralism is consistent with a robust realism about truth. Drawing on the work of Hilary Putnam, W.V.O. Quine, and Ludwig Wittgenstein, among others, Lynch develops an original version of metaphysical pluralism, which he calls relativistic Kantianism. He argues that one can take facts and propositions as relative without implying that our ordinary concept of truth is a relative, epistemic, or "soft" concept. The truths may be relative, but our concept of truth need not be. (shrink)

In the logical, philosophical and linguistic literature, a number of theoretical frameworks have been proposed for the meaning of questions (see Ginzburg (1995), Groenendijk & Stokhof (1997) for recent overviews). I will concentrate on two general approaches that figured prominently in linguistic semantics, which I will call the proposition set approach and the structured meaning approach (sometimes called the “propositional” and the “categorial” or “functional” approach). I will show that the proposition set approach runs into three problems: It does not (...) always predict the right focus structure in answers, it is unable to distinguish between polarity (yes/no) and a certain type of alternative questions, and it does not allow to formulate an important condition for a type of multiple constituent questions. On the other hand, I will show that the main argument brought forward against the structured meaning framework, namely that it does not give us an elegant way to account for embedded questions, does not withstand closer scrutiny. In this I will take up an issue raised in von Stechow (1990), namely, that the greater expressive power of the structured meaning approach might be necessary for the proper treatment of semantic phenomena like question formation and focusation. (shrink)

Semantic information is usually supposed to satisfy the veridicality thesis: p qualifies as semantic information only if p is true. However, what it means for semantic information to be true is often left implicit, with correspondentist interpretations representing the most popular, default option. The article develops an alternative approach, namely a correctness theory of truth (CTT) for semantic information. This is meant as a contribution not only to the philosophy of information but also to the philosophical debate on the nature (...) of truth. After the introduction, in Sect. 2, semantic information is shown to be translatable into propositional semantic information (i). In Sect. 3, i is polarised into a query (Q) and a result (R), qualified by a specific context, a level of abstraction and a purpose. This polarization is normalised in Sect. 4, where [Q + R] is transformed into a Boolean question and its relative yes/no answer [Q + A]. This completes the reduction of the truth of i to the correctness of A. In Sects. 5 and 6, it is argued that (1) A is the correct answer to Q if and only if (2) A correctly saturates Q by verifying and validating it (in the computer science’s sense of verification and validation ); that (2) is the case if and only if (3) [Q + A] generates an adequate model (m) of the relevant system (s) identified by Q; that (3) is the case if and only if (4) m is a proxy of s (in the computer science’s sense of proxy ) and (5) proximal access to m commutes with the distal access to s (in the category theory’s sense of commutation ); and that (5) is the case if and only if (6) reading/writing (accessing, in the computer science’s technical sense of the term) m enables one to read/write (access) s. Sect. 7 provides some further clarifications about CTT, in the light of semantic paradoxes. Section 8 draws a general conclusion about the nature of CTT as a theory for systems designers not just systems users. In the course of the article all technical expressions from computer science are explained. (shrink)

We claim that the meaning of the adverbial almost contains both a scalar proximity measure and a modal that allows it to work sometimes when proximity fails, what we call the at-a-distance reading. Essentially, almost can hold if the proposition follows from the normal uninterrupted outcomes of adding a small enough number of premises to a selection of relevant facts. Almost at-a-distance is blocked when the temporal properties of the topic time and Davidsonian event prevent normal outcomes from coming true (...) when they need to. This approach to almost differs from the two general approaches that have emerged in the literature, by replacing the negative polar condition with a positive antecedent condition that entails not p while avoiding the numerous well-documented complications of employing a polar condition. Since this approach to almost involves a circumstantial base with a non-interrupting ordering source, almost behaves in certain ways like the progressive, and shows contextual variability of the same kinds that we see with premise sets. (shrink)

Why do people who disagree about one subject tend to disagree about other subjects as well? In this paper, we introduce a model to explore this phenomenon of ‘epistemic factionization’. Agents attempt to discover the truth about multiple propositions by testing the world and sharing evidence gathered. But agents tend to mistrust evidence shared by those who do not hold similar beliefs. This mistrust leads to the endogenous emergence of factions of agents with multiple, highly correlated, polarized beliefs.

In this paper, I make a contribution to a naturalistically-minded theory of truthmakers by proposing a solution to the nasty problem of truthmakers for negative truths. After formulating the difficulty, I consider and reject a number of solutions to the problem, including Armstrong's states of affairs of totality, incompatibility accounts, and JC Beall 's polarity view. I then defend the position that absences of truthmakers are real and are responsible for making negative truths true. According to the positive account of (...) absences I offer, absences of contingent states of affairs are causally relevant mind-independent features of the physical world, located within space and time, and capable of being discovered by scientific inquiry. Recognition of the reality of absences strengthens truthmaker theory as a naturalistic metaphysics, as truth and falsity of each and every contingent proposition finds an ontological grounding in some region of the physical universe. (shrink)

A principal source of interest in behavioral economics has been its advertised contributions to policies aimed at ‘nudging’ people away from allegedly natural but self-defeating behavior toward patterns of response thought more likely to improve their welfare. This has occasioned controversies among economists and philosophers around the normative limits of paternalism, especially by technical policy advisors. One recent suggestion has been that ‘boosting,’ in which interventions aim to enhance people’s general cognitive skills and representational repertoires instead of manipulating their choice (...) environments behind their backs, avoids the main normative challenges. A limitation in most of this literature is that it has focused on relatively sweeping policy recommendations and consequently on strong polar alternatives of general paternalism and strict laissez faire. We review a real instance, drawn from a consulting project we conducted for an investment bank, of a proposed intervention that is more typical of the kind that economists are more often actually called upon to offer. In this example, the sophistication of current tools for preference attribution, combined with philosophical externalism about the semantics of preferences that makes it less plausible to attribute their literal self-conscious representation to people as propositional attitude content becomes more tightly refined, blocks applicability of the distinction between nudging and boosting. This seems to call for irreducible, context-specific ethical judgment in assessing the appropriateness of the forms of paternalism that economists must actually wrestle with in going about their everyday business. (shrink)

The paper outlines the analysis of certain question types in the Commitment Space framework, as presented in Krifka (2015). The two basic ideas are: Assertions and most questions involve commitments of speaker and addressee to the truth of a proposition, and questions consist in restricting the continuation of the conversation to answers to the question. The main focus is on breadth, not depth and the detailed comparison with alternative approaches, and on semantic modelling, not on the syntactic and prosodic realizations. (...) Topics are polar questions and their bias, alternative questions, constituent questions, high negation in questions, declarative questions, root vs. embedded questions, and deliberative questions. (shrink)

This essay explores Edmund Husserl's significance for contemporary truth theory. Focusing on his Logical Investigations, it argues that early Husserl's conception of truth unsettles a common polarity between epistemic and nonepistemic approaches. Unlike contemporary epistemic conceptions of truth, he gives full weight to “truth makers” that have their own being: objective identity, perceptible objects, and states of affairs. Yet, unlike contemporary nonepistemic conceptions, he also insists on the intentional givenness of such truth makers and on the complexity of the experiences (...) within which propositional truth claims arise. To develop this argument, the essay explains how early Husserl's conception of truth builds on his phenomenology of intentional experience and knowledge. By emphasizing an objective identity between what is signitively meant and intuitively given, Husserl's approach provides a way to resituate propositional truth within a broader and more dynamic conception of truth. (shrink)

According to the principle of epistemic closure, knowledge is closed under known implication. The principle is intuitive but it is problematic in some cases. Suppose you know you have hands and you know that ‘I have hands’ implies ‘I am not a brain-in-a-vat’. Does it follow that you know you are not a brain-in-a-vat? It seems not; it should not be so easy to refute skepticism. In this and similar cases, we are confronted with a puzzle: epistemic closure is an (...) intuitive principle, but at times, it does not seem that we know by implication. In response to this puzzle, the literature has been mostly polarized between those who are willing to do away with epistemic closure and those who think we cannot live without it. But there is a third way. Here I formulate a restricted version of the principle of epistemic closure. In the standard version, the principle can range over any proposition; in the restricted version, it can only range over those propositions that are within the limits of a given epistemic inquiry and that do not constitute the underlying assumptions of the inquiry. If we adopt the restricted version, I argue, we can preserve the advantages associated with closure, while at the same time avoiding the puzzle I’ve described. My discussion also yields an insight into the nature of knowledge. I argue that knowledge is best understood as a topic-restricted notion, and that such a conception is a natural one given our limited cognitive resources. (shrink)

The author argues for the existence of negative facts. The first section is devoted to an argument, grounded on truthmaker maximalism, that aims at demonstrating that negative facts must exist at least as false propositions’ falsemakers. In the second section, the author analyzes and criticizes several attempts to get rid of negative facts: the ones based on incompatibilities, absences, totality facts and polarities, as well as the ones based on various restrictions on truthmaker maximalism or on the non-acceptance of (...) facts as truthmakers. In particular, it is shown that an ontology that accepts negative facts is simpler than an ontology that denies their existence and that in general, many attempts to get rid of negative facts turn out to recognize the existence of such entities or of entities that are more mysterious than negative facts themselves. (shrink)

The article develops a correctness theory of truth (CTT) for semantic information. After the introduction, in section two, semantic information is shown to be translatable into propositional semantic information (i). In section three, i is polarised into a query (Q) and a result (R), qualified by a specific context, a level of abstraction and a purpose. This polarization is normalised in section four, where [Q + R] is transformed into a Boolean question and its relative yes/no answer [Q + A]. (...) This completes the reduction of the truth of i to the correctness of A. In sections five and six, it is argued that (1) A is the correct answer to Q if and only if (2) A correctly saturates (in a Fregean sense) Q by verifying and validating it (in the computer science’s sense of “verification” and “validation”); that (2) is the case if and only if (3) [Q + A] generates an adequate model (m) of the relevant system (s) identified by Q; that (3) is the case if and only if (4) m is a proxy of s (in the computer science’s sense of “proxy”) and (5) proximal access to m commutes with the distal access to s (in the category theory’s sense of “commutation”); and that (5) is the case if and only if (6) reading/writing (accessing, in the computer science’s technical sense of the term) m enables one to read/write (access) s. The last section draws a general conclusion about the nature of CTT as a theory for systems designers not just systems users. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy of Music Education Review 13.1 (2005) 104-108 [Access article in PDF] A Response to Estelle R. Jorgensen, "Four Philosophical Models of the Relationship Between Theory and Practice" Randall Everett Allsup Teachers College, Columbia University Each of the four philosophical models that Estelle Jorgensen has put forth contests, adheres to, or adjusts the hierarchical relationships between dualities, specifically the theory and practice of musical learning. The dichotomy model faces (...) binary associations head on, splitting existence however defined into dualisms like "this/that," "us/them," and "mind/body." Models of polarity, according to Jorgensen, accommodate dualities by buffering edges, emphasizing the interconnectedness of binary relationships. The fusion metaphor is exemplified by Paulo Freire's notion of praxis in which action and reflection are welded together to create hope for a new world, one free of the oppression and conflict that is inherent in binary relationships. The dialectical model is contrapuntal by nature, Edward Said would say.1This relationship highlights our postmodern devotion to différence by embracing the tension created through inclusion so that "this is with that," "we are with them and they are with us," and "mind is with body, just as body is with mind."2Perhaps there is a fifth model, a new kind of relationship where the oppositional or hierarchical nature of binaries co-exists peacefully without tension. [End Page 104] Such an arrangement is, I think, an outgrowth of capitalist democracy—it is, most especially, representative of our global, information age. This type of relationship is problematic philosophically, we will see, lacking as Jorgensen has outlined "logic evidenced in principles," "internal consistency," and "coherence within a unity or whole." Likewise for Bennett Reimer, this new mind-set fails the test of philosophical scrutiny, unconcerned as it is with a "reasoned, structured set of propositions."3 Whether philosophy or mind-set, this new arrangement has as much to do with freedom and free markets as it does with the particular conditions of both modernity and postmodernity.In the novel, White Noise, by Don DeLillo, the postmodern condition is represented in part by an "Airborne Toxic Event," a cloud of gas, Nyodene D, which floats above a tranquil All-American college town.4 A sense of crisis is felt, but felt obliquely and no one knows exactly what harm has been done. In Albert Camus' The Plague, by contrast, the disease that infests the North African town of Oran acts to awaken its citizenry, confronting the populace with the moral imperatives to fight or flee.5 Perhaps the metaphor of quarantine symbolizes the hard boundaries of modernism.Capitalism seeks to dissolve conflict. It operates silently, in the realm of social production, like a cloud of gas. Denise, Jack Gladney's daughter in White Noise, mumbles over and over in her sleep, "Toyota Corolla, Toyota Celica, Toyota Cressida...."6 There is a sense of ontological change, that the expanding reach of media, information, and technology rewires the way we think, the way we dream. Tensions are willed away. The expansion and survival of market shares, after all, depend on the peaceful erosion of boundaries—boundaries that demarcate what we learn, what we buy, and who we are.Questions about what this new system means—this new mind-set—are explored in a book called Empire by Michael Hardt and Antonio Negri.7 These writers posit a global world of communication, cooperation, and affect, where an increase in hybrids creates a kind of "omniversality" where the virtual, natural, and ideological converge.8 In the dialectical relationship that Jorgensen shares with writers like Paulo Freire and Maxine Greene, there is no acceptable synthesis, no peaceful co-existence, between oppressors and oppressed. While according to Freire, the oppressed may internalize or house characteristics of the oppressor. In the global world of capital, the oppositional nature of the Other is replaced by niches or fragments, dissolving differences into marketing opportunities, really. That the avant-garde no longer exists is proof of this new state.As the essentialist nature of the Other fades away... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy of Music Education Review 13.1 (2005) 104-108 [Access article in PDF] A Response to Estelle R. Jorgensen, "Four Philosophical Models of the Relationship Between Theory and Practice" Randall Everett Allsup Teachers College, Columbia University Each of the four philosophical models that Estelle Jorgensen has put forth contests, adheres to, or adjusts the hierarchical relationships between dualities, specifically the theory and practice of musical learning. The dichotomy model faces (...) binary associations head on, splitting existence however defined into dualisms like "this/that," "us/them," and "mind/body." Models of polarity, according to Jorgensen, accommodate dualities by buffering edges, emphasizing the interconnectedness of binary relationships. The fusion metaphor is exemplified by Paulo Freire's notion of praxis in which action and reflection are welded together to create hope for a new world, one free of the oppression and conflict that is inherent in binary relationships. The dialectical model is contrapuntal by nature, Edward Said would say.1This relationship highlights our postmodern devotion to différence by embracing the tension created through inclusion so that "this is with that," "we are with them and they are with us," and "mind is with body, just as body is with mind."2Perhaps there is a fifth model, a new kind of relationship where the oppositional or hierarchical nature of binaries co-exists peacefully without tension. [End Page 104] Such an arrangement is, I think, an outgrowth of capitalist democracy—it is, most especially, representative of our global, information age. This type of relationship is problematic philosophically, we will see, lacking as Jorgensen has outlined "logic evidenced in principles," "internal consistency," and "coherence within a unity or whole." Likewise for Bennett Reimer, this new mind-set fails the test of philosophical scrutiny, unconcerned as it is with a "reasoned, structured set of propositions."3 Whether philosophy or mind-set, this new arrangement has as much to do with freedom and free markets as it does with the particular conditions of both modernity and postmodernity.In the novel, White Noise, by Don DeLillo, the postmodern condition is represented in part by an "Airborne Toxic Event," a cloud of gas, Nyodene D, which floats above a tranquil All-American college town.4 A sense of crisis is felt, but felt obliquely and no one knows exactly what harm has been done. In Albert Camus' The Plague, by contrast, the disease that infests the North African town of Oran acts to awaken its citizenry, confronting the populace with the moral imperatives to fight or flee.5 Perhaps the metaphor of quarantine symbolizes the hard boundaries of modernism.Capitalism seeks to dissolve conflict. It operates silently, in the realm of social production, like a cloud of gas. Denise, Jack Gladney's daughter in White Noise, mumbles over and over in her sleep, "Toyota Corolla, Toyota Celica, Toyota Cressida...."6 There is a sense of ontological change, that the expanding reach of media, information, and technology rewires the way we think, the way we dream. Tensions are willed away. The expansion and survival of market shares, after all, depend on the peaceful erosion of boundaries—boundaries that demarcate what we learn, what we buy, and who we are.Questions about what this new system means—this new mind-set—are explored in a book called Empire by Michael Hardt and Antonio Negri.7 These writers posit a global world of communication, cooperation, and affect, where an increase in hybrids creates a kind of "omniversality" where the virtual, natural, and ideological converge.8 In the dialectical relationship that Jorgensen shares with writers like Paulo Freire and Maxine Greene, there is no acceptable synthesis, no peaceful co-existence, between oppressors and oppressed. While according to Freire, the oppressed may internalize or house characteristics of the oppressor. In the global world of capital, the oppositional nature of the Other is replaced by niches or fragments, dissolving differences into marketing opportunities, really. That the avant-garde no longer exists is proof of this new state.As the essentialist nature of the Other fades away... (shrink)

The degree of doxastic revision required in response to evidence of disagreement is typically thought to be a function of our beliefs about (1) our interlocutor’s familiarity with the relevant evidence and arguments, and their intellectual capacities and virtues, relative to our own, or (2) the expected probability of our interlocutor being correct, conditional on our disagreeing. While these two factors are typically used interchangeably, I show that they have an inverse correlation in cases of disagreement about politically divisive (...) class='Hi'>propositions. This presents us with a puzzle about the epistemic impact of disagreement in these cases. The most significant disagreements on (1) are the least significant disagreements on (2), and vice versa. I show that assessing the epistemic status of an interlocutor by reference to either (1) or (2) has uncomfortable consequences in these cases. I then argue that this puzzle cannot be escaped by claiming that we usually have dispute-independent reason to reject the significance of politically charged disagreement altogether. (shrink)

The contemporary debate about truth is polarized between deflationists and those who offer robust accounts of truth. I present a theory of truth called ‘Primitive Disclosive Alethism’ that occupies the middle ground between these two extremes. Contrary to deflationist claims, truth has a nature beyond its merely linguistic, expressive function. Truth is objective and non-epistemic, yet cannot be characterized in terms of correspondence. Primitive Disclosive Alethism offers a metaphysically satisfying explanation of our correspondence intuitions, while explaining why the concept of (...) truth is an undefined primitive. The theory also explains why the T-schema offers the clearest expression of what makes a sentence true. I distinguish this theory from the Identity Theory of Truth which equates true propositions with facts. (shrink)

This paper presents a generalization of the standard notions of left monotonicity (on the nominal argument of a determiner) and right monotonicity (on the VP argument of a determiner). Determiners such as “more than/at least as many as” or “fewer than/at most as many as”, which occur in so-called propositional comparison, are shown to be monotone with respect to two nominal arguments and two VP-arguments. In addition, it is argued that the standard Generalized Quantifier analysis of numerical determiners such as (...) “more than three/at least three” is a simplification which ignores the fundamental parallellism with the propositional comparatives. Furthermore, the symmetric monotonicity configurations of the existential “some” and “no” are shown to be straightforwardly related to those of numerical comparatives with the limit numeral zero, whereas the asymmetric configurations of universal “all” and “not all” involve the extra complicating mechanism of polarity reversal, which is related to Keenan's notion of co-intersectivity (as opposed to intersectivity). A second aim of the paper is to investigate some of the factors reducing the inferential potential of determiners. Different types of comparative determiners and their modification will be considered in detail. In addition, a systematic interaction will be revealed between the monotonicity properties of the determiners in propositional comparatives and the differ ent types of ellipsis in the “than”-complement. Different degrees of ellipsis are defined in terms of informational dependencies between the “than”-complement and the main clause. A general balancing mechanism is observed by virtue of which an increase in informational dependency is compensated by a reduction of the inferential potential of the comparative determiner. The structure of the paper is as follows. Part two deals with propositional comparison and introduces the two basic monotonicity configurations. Part three distinguishes three types of informational dependencies or ellipsis between the “than”-complement and the main clause. In Section 3.1 the “than”-complement only contains a VP constituent, whereas in Section 3.2. it only consists of a nominal constituent. Section 3.3 considers more complex instances of multiple dependencies. Section 3.4 then looks at the interaction of these three types with the modifier “proportionally”. Part four presents the two basic monotonicity configurations for numerical comparison, whereas part five deals with more complex numerical determiners. Bounding determiners, such as “between five and ten”, and other boolean combinations are discussed in Section 5.1, whereas Section 5.2 goes into approximative determiners involving modifiers such as “only” or “almost”. Section 5.3. is devoted to proportional determiners such as “more than two out of three”. Part six then considers the standard existential and universal quantifiers. Section 6.1 reformulates the standard Generalized Quantifier analysis in comparative terms, whereas Section 6.2 deals with exception determiners of the form “all but five”. (shrink)

In English, a non-wh-question may have a disjunctive phrase explicitly providing the choices that the question ranges over. For example, in (1), the disjunction or not indicates that the the choice is between the positive and the negative polarity for the relevant proposition, as spelled out in the yes/no (yn)-question reading (2) and in the answers (2a,b). Another example is (3). The disjunction in (3) can be understood as providing the choices that the question ranges over, hence giving rise to (...) the alternative (alt-)reading in (4) and eliciting the answers in (4a,b). (Cf. Karttunen (1977) and Higginbotham (1993) for the semantics of yn/alt-questions). (shrink)

In the 1687 Principia, Newton gave a solution to the direct problem (given the orbit and center of force, find the central force) for a conic-section with a focal center of force (answer: a reciprocal square force) and for a spiral orbit with a polar center of force (answer: a reciprocal cube force). He did not, however, give solutions for the two corresponding inverse problems (given the force and center of force, find the orbit). He gave a cryptic solution (...) to the inverse problem of a reciprocal cube force, but offered no solution for the reciprocal square force. Some take this omission as an indication that Newton could not solve the reciprocal square, for, they ask, why else would he not select this important problem? Others claim that ``it is child's play'' for him, as evidenced by his 1671 catalogue of quadratures (tables of integrals). The answer to that question is obscured for all who attempt to work through Newton's published solution of the reciprocal cube force because it is done in the synthetic geometric style of the 1687 Principia rather than in the analytic algebraic style that Newton employed until 1671. In response to a request from David Gregory in 1694, however, Newton produced an analytic version of the body of the proof, but one which still had a geometric conclusion. Newton's charge is to find both ``the orbit'' and ``the time in orbit.'' In the determination of the dependence of the time on orbital position, t(r), Newton evaluated an integral of the form ∫dx/xn to calculate a finite algebraic equation for the area swept out as a function of the radius, but he did not write out the analytic expression for time t = t(r), even though he knew that the time t is proportional to that area. In the determination of the orbit, θ (r), Newton obtained an integral of the form ∫dx/√(1−x2) for the area that is proportional to the angle θ, an integral he had shown in his 1669 On Analysis by Infinite Equations to be equal to the arcsin(x). Since the solution must therefore contain a transcendental function, he knew that a finite algebraic solution for θ=θ(r) did not exist for ``the orbit'' as it had for ``the time in orbit.'' In contrast to these two solutions for the inverse cube force, however, it is not possible in the inverse square solution to generate a finite algebraic expression for either ``the orbit'' or ``the time in orbit.'' In fact, in Lemma 28, Newton offers a demonstration that the area of an ellipse cannot be given by a finite equation. I claim that the limitation of Lemma 28 forces Newton to reject the inverse square force as an example and to choose instead the reciprocal cube force as his example in Proposition 41. (shrink)

Next SectionDiscourse particles typically express the attitudes of interlocutors with respect to the propositional content of an utterance – for example, marking whether or not a speaker believes the content of the proposition that she uttered. In German, the particle doch – which has no direct English translation – is commonly used to correct a belief that is thought to be common ground among those present. We asked whether German adults and 5-year-olds are able to infer that a speaker who (...) utters doch intends to be understood in this way. Sixty-four children (4;9–5;3 years) and twenty-four adults participated in a comprehension task in which a speaker explicitly expressed either a positive belief or a negative belief. Subsequently, in both conditions, the speaker checked the truth of her previous belief and corrected her belief with doch. In both the group of adults and the group of children, polarity of the speaker’s belief affected hearers’ interpretations of the speaker’s utterance. In a third condition we investigated whether participants could also perform the more difficult task of interpreting the speaker’s utterance with doch while inferring the speaker’s belief. Whereas adults showed a similar performance as in the explicit belief conditions, children showed limited abilities in keeping track of the speaker’s belief. (shrink)

We combine intuitionistic logic and classical logic into a new, first-order logic called polarized intuitionistic logic. This logic is based on a distinction between two dual polarities which we call red and green to distinguish them from other forms of polarization. The meaning of these polarities is defined model-theoretically by a Kripke-style semantics for the logic. Two proof systems are also formulated. The first system extends Gentzenʼs intuitionistic sequent calculus LJ. In addition, this system also bears essential similarities to Girardʼs (...) LC proof system for classical logic. The second proof system is based on a semantic tableau and extends Dragalinʼs multiple-conclusion version of intuitionistic sequent calculus. We show that soundness and completeness hold for these notions of semantics and proofs, from which it follows that cut is admissible in the proof systems and that the propositional fragment of the logic is decidable. (shrink)

The question at hand is whether or not a liberal arts education can be politically neutral, but the very fact that this question is phrased in the curious manner that it is, which is to say that we place emphasis on "can" as opposed to "is" or "how we might better ensure," speaks to the nature of a problem that much more deeply rooted than the mere question of scholarly polarization. Borrowing from Christopher Schlect of New Saint Andrews College, we (...) might say that the "liberal arts teach us how to learn—how to freely gain knowledge and understanding," and that the manner in which they do this is by teaching students not only methodologies for solving problems that are presented to them, but also how to identify problems of their own accord (79). That would mean, by definition, that a political neutral liberal arts curriculum would necessitate not only an active awareness of one's ethical orientation, but also an active tempering of the biases that accompany that orientation out of respect for the spirit of liberalism and in recognition of one's own fallible nature. Unfortunately, since, as I intend to illustrate, our moral and therefore political senses are similar to aesthetic taste as described by Kant in his third critique, they carry with them the paradoxicality of pure subjectivity tethered to the expectation of universality, making the possibility of political neutrality in the liberal arts a grim proposition, to put it at its absolute mildest. In order to determine whether this problem is in any way manageable, it is necessary to analyze of the nature of moral and political taste in a general sense, the rhetoric that educator use toward members of opposing moral frameworks, how that rhetoric is buttressed by institutional teloi, and finally, how different systems of normative ethics might contribute to neutrality in the liberal arts. (shrink)

of (from British Columbia Philosophy Graduate Conference) Despite the apparent polarity between the philosophies of Wittgenstein and G�del, I here seek to demonstrate and consider important similarities in these two allegedly disparate interpretations of mathematical proposition. Wittgenstein asserts that the meaning is comprised by proof, while G�del relegates provability to an intrinsically imperfect status. Each represents metamathematical statements as severely limited, and analysis emphasizing the complementary here yields a rich interpretation of mathematical proposition: invention, but not without a basis for (...) describing these inventions as incomplete. As contrivances that exhibit a necessarily imperfect correlation to hypothetical completeness, the extent to which any one system is comparatively useful is thus a reflection of the degree of imperfection with which it correlates to the otherwise inarticulable qualities that dictate usefulness. Inconsistency produced by our necessarily incomplete systems should therefore be viewed as a natural consequence of the inherent imperfect correlation, and so admits of meaningful interpretation. (shrink)

This article revisits Dolf Sternberger’s 1960 theory, which, in explicit opposition to Carl Schmitt’s friend/enemy thesis, found the essence of politics and the political in peace. The essay contextualizes Sternberger’s propositions by relating them to his immediate post-1945 considerations – such as normalizing domestic politics, jettisoning authoritarianism, and laying the conceptual foundations for the nascent political science – and thereby reconstructs the questions his theory of the political sought to answer. The analysis shows in detail how the key elements (...) of Sternberger’s 1960 theory derived from the late-1940s: rather than reflecting an already normalized political situation or proposing naïve pacifism, Sternberger’s text took political conflicts seriously and provided an outline of a desired but only prospective political peace amidst a crisis. Despite substantial polarity, Sternberger’s view is largely compatible with Schmitt’s theory once we remove context-induced polemics and grave misinterpretations – and carries potential for systematic political theorizing. (shrink)

The paper "Partitions of Products" [DiPH] investigated the polarized partition relation $\begin{pmatrix}\omega\\\omega\\\omega\\\vdots\end{pmatrix} \rightarrow \begin{pmatrix}\alpha_1\\\alpha_1\\\alpha_2\\\vdots \end{pmatrix}$ The relation is consistent relative to an inaccessible cardinal if every α i is finite, but inconsistent if two are infinite. We show here that it consistent (relative to an inaccessible) for one to be infinite. Along the way, we prove an interesting proposition from ZFC concerning partitions of the finite subsets of ω.

Academic debates about pluralism and truth have become increasingly polarized in recent years. One side embraces extreme relativism, deeming any talk of objective truth as philosophically na{ï}ve. The opposition, frequently arguing that any sort of relativism leads to nihilism, insists on an objective notion of truth according to which there is only one true story of the world. Both sides agree that there is no middle path. In Truth in Context, Michael Lynch argues that there is a middle path, one (...) where metaphysical pluralism is consistent with a robust realism about truth. Drawing on the work of Hilary Putnam, W. V. O. Quine, and Ludwig Wittgenstein, among others, Lynch develops an original version of metaphysical pluralism, which he calls relativistic Kantianism. He argues that one can take facts and propositions as relative without implying that our ordinary concept of truth is a relative, epistemic, or "soft" concept. The truths may be relative, but our concept of truth need not be. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:In Search of the ClassicEdward E. FosterIn Search of the Classic, by Steven Shankman; xvi & 331 pp. University Park: Pennsylvania State University Press, 1995, $55.00 cloth, $18.95 paper.“In search of” in the title of a book is often a code warning of lukewarm conviction or academic disingenuousness. In Shankman’s title, however, the phrase is literally appropriate because he forthrightly argues that the classic is, of its nature, (...) something that always exists in quest and tension. The classic is not to be located merely in classical antiquity or in the tastes of a privileged class. Though Shankman grants that these often are associated with the literary classic, he finds the nature of the classic rather in the nature of literature as a state of metaxis or “in-betweenness.” His examinations of classical, neo-classical, and modern works define various aspects of this “in-betweenness,” the state of tension that exists in the truly classic at any point in the history of literature.Although Shankman dismisses Derrida, Foucault, de Man, and others for having mistaken their own destruction of Enlightenment rationalism for a demonstration that rationality is impossible, he is not wildly original. He uses Habermas’s notion of classic literature as enduring and independent of time and Vogelin’s concept of metaxis as foundational for his sprawling, yet lucid, inquiry into the idea of the classic in Homer, Plato, Aristotle, Pindar, Virgil, Dryden, Defoe, Swift, Valery, and others, and in the traditions of the epic, ode, pastoral, and lyric.Fundamental is the view that classic literature has the greatest power to represent human experience. To avoid the hermeneutical conundrum of the subject-object dilemma, Shankman asserts literature to be in “a middle place” from Plato and Aristotle on. He sees a basic agreement between them on how literature stands between the One and the Many. Put negatively, literature is not sparks from the One or compilations of the Many. Rather it is a mediator between these polarities: classic literature accommodates the propositional purity of philosophy to the indeterminacy of thing-reality. Literature is neither an abstract kernelization of truth nor an anthology of the things of experience [End Page 256] but an analogical conjunction of the two extremes—therefore tension, therefore continual quest.Using Plato, especially the Cratylus and the Symposium, and Aristotle, especially the Metaphysics and the Poetics, Shankman describes a rationality that exists in literature that is clearly identified in his chapter on Swift’s Gulliver’s Travels by emphasizing the idea of man as an animal capax rationis. This in itself places man’s literary enterprise in a middle place and Shankman explores its various implications in a variety of works. From this perspective, it is argued that literature must be about something that matters; that pure poetry or reflexive poetry cannot achieve the ambiguity of analogy as the central core that the classic requires. Thus, Plato never rejected poetry—only the debasement of poetry into either the fantastical or literal (or the confusion of the two.)The true classic walks a line between ignorance and knowledge, rhetoric and philosophy, literalism and fantasy, “thing-reality” and “the ideal.” The Aeneid makes a good test case. It is at once a piece of propaganda and a statement of an ideal that is complicated by the duplicity of Aeneas’ abandonment of Dido, the brutality of his killing of Turnus, and his emergence in Book VI from the underworld by the Gate of Ivory (false dreams). Such tension is exemplary of what Shankman sinuously argues is at the heart of “the classic” in a variety of other works.The argument is persuasive and attractive, even if not compelling, in a world where many critics would have us believe that all of literature, canonical or not, is disappearing into nontext. That about half of the chapters are adaptations of previously published articles risks a discontinuity that is largely avoided by recapitulations of where we are in the exposition of our struggle in a continuing and intrinsic state of rational metaxis. I like the idea, but I must reserve judgment on a thesis that attends to the poetry of Yvor Winters and E. V. Cunningham... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Seeing Through Zen: Encounter, Transformation, and Genealogy in Chinese Chan BuddhismAlbert WelterSeeing Through Zen: Encounter, Transformation, and Genealogy in Chinese Chan Buddhism. By John R. McRae. Berkeley, Los Angeles, and London: University of California Press, 2003. Pp. xx + 204.The field of Chan and Zen studies has been in transformation in recent decades, as an increasing number of scholars have begun to challenge the accepted story of Chan's (...) rise and dissemination. In the process, a disjuncture has developed between how scholars have come to view Chan narrative as mythos rooted in the circumstances of Chan's development, and how it is still depicted in many textbooks and popular publications on Zen. Teachers aware of this gap have been at a loss when looking for new texts to supplant the old ones and give a more accurate view of Chan, its history, and its development. Aside from the compelling sway that Chan and Zen narratives have over the popular understanding, part of the difficulty is that the field is still in transformation. While scholars are altering, sometimes radically, perceptions and assumptions about how Chan developed, this process is ongoing. And while the picture is growing clearer, a full consensus has not yet emerged.Into the breach a new book has come along: Seeing Through Zen: Encounter, Transformation, and Genealogy in Chinese Chan Buddhism, by John R. McRae. McRae's name will certainly be recognizable to all who work in the field of Chan and Zen studies. Along with Bernard Faure, Professor McRae pioneered the study of the previously maligned, so-called "Northern School" in the West (The Northern School and the Formation of Early Ch'an Buddhism), utilizing to full advantage the scholarship of the doyenne of twentieth-century Zen studies, Yanagida Seizan. [End Page 355] Through a series of articles, McRae has contributed greatly to emerging perspectives on Chan. The current volume under review may be taken as McRae's current observations on the subject of Chinese Chan, based on his own recent research and that of others.The chapters that constitute Seeing Through Zen were first prepared in Spanish translation for presentation at the Templo Zen Luz Serena in Valencia, Spain. The expected readership includes three groups: "Zen and other Buddhist practitioners; students and scholars of Chinese religions, Buddhist studies, and related fields; and a general audience interested in Asian religions and human culture" (p. xi). While some of the propositions in the book will, by design, provoke healthy debate among scholars, the primary purpose for this book as I see it is as a classroom text, either at universities or for temple instruction for practitioners interested in current scholarly assessments of their religion (according to the author, many of the chapters were the basis for presentations to various groups of Chan and Zen practitioners).Seeing Through Zen comprises six chapters: "Looking at Lineage: A Fresh Perspective on Chan Buddhism," "Beginnings: Differentiating/Connecting Bodhidharma and the East Mountain Teaching," "Metropolitan Chan: Imperial Patronage and the Chan Style," "The Riddle of Encounter Dialogue: Who, What, When, and Where?" "Zen and the Art of Fund-Raising: Religious Vitality and Institutional Dominance in the Song Dynasty," and "Climax Paradigm: Cultural Polarities and Patterns of Self-Cultivation in Song-Dynasty Chan." In addition to the back matter-"Notes," "Character Glossary," "Bibliography," and "Index"-the front matter includes a "Preface," "Conventions," and a section titled "McRae's Rules of Zen Studies." These "rules of Zen"-(1) It's not true, and therefore it's more important; (2) Lineage assertions are as wrong as they are strong; (3) Precision implies inaccuracy; and (4) Romanticism breeds cynicism (pp. xix-xx)-with accompanying explanations, provide an accessible orientation to McRae's approach and touchstones that are frequently returned to in the materials introduced in the following chapters.I have two reactions to Seeing Through Zen, one as a teacher and one as a scholar. For the teacher, Seeing Through Zen represents a welcome addition indeed! I look forward to using it in my classes, and I'm sure others will as well. Written in a lively, engaging style, it is sophisticated in its analysis and creative in drawing on analogies from research... (shrink)

Predictable polarization is everywhere: we can often predict how people’s opinions, including our own, will shift over time. Extant theories either neglect the fact that we can predict our own polarization, or explain it through irrational mechanisms. They needn’t. Empirical studies suggest that polarization is predictable when evidence is ambiguous, that is, when the rational response is not obvious. I show how Bayesians should model such ambiguity and then prove that—assuming rational updates are those which obey the value of evidence—ambiguity (...) is necessary and sufficient for the rationality of predictable polarization. The main theoretical result is that there can be a series of such updates, each of which is individually expected to make you more accurate, but which together will predictably polarize you. Polarization results from asymmetric increases in accuracy. This mechanism is not only theoretically possible, but empirically plausible. I argue that cognitive search—searching a cognitively accessible space for a particular item—often yields asymmetrically ambiguous evidence, I present an experiment supporting its polarizing effects, and I use simulations to show how it can explain two of the core causes of polarization: confirmation bias and the group polarization effect. (shrink)