We give a review and critique of jury theorems from a social-epistemology perspective, covering Condorcet’s (1785) classic theorem and several later refinements and departures. We assess the plausibility of the conclusions and premises featuring in jury theorems and evaluate the potential of such theorems to serve as formal arguments for the ‘wisdom of crowds’. In particular, we argue (i) that there is a fundamental tension between voters’ independence and voters’ competence, hence between the two premises of most jury theorems; (ii) (...) that the (asymptotic) conclusion that ‘huge groups are infallible’, reached by many jury theorems, is an artifact of unjustified premises; and (iii) that the (nonasymptotic) conclusion that ‘larger groups are more reliable’, also reached by many jury theorems, is not an artifact and should be regarded as the more adequate formal rendition of the ‘wisdom of crowds’. (shrink)

Democratic decision-making is often defended on grounds of the ‘wisdom of crowds’: decisions are more likely to be correct if they are based on many independent opinions, so a typical argument in social epistemology. But what does it mean to have independent opinions? Opinions can be probabilistically dependent even if individuals form their opinion in causal isolation from each other. We distinguish four probabilistic notions of opinion independence. Which of them holds depends on how individuals are causally affected by environmental (...) factors such as commonly perceived evidence. In a general theorem, we identify causal conditions guaranteeing each kind of opinion independence. These results have implications for whether and how ‘wisdom of crowds’ arguments are possible, and how truth-conducive institutions can be designed. (shrink)

The Christian does not live in a vacuum, says the author, but in a world of government, politics, labor, and marriage. Hence, Christian ethics cannot exist in a vacuum what the Christian needs, claims Dietrich Bonhoeffer, is concrete instruction in a concrete situation. Although the author died before completing his work, this book is recognized as a major contribution to Christian ethics. The root and ground of Christian ethics, the author says, is the reality of God as revealed in (...) Jesus Christ. This reality is not manifest in the Church as distinct from the secular world such a juxtaposition of two separate spheres, Bonhoeffer insists, is a denial of God's having reconciled the whole world to himself in Christ. On the contrary, God's commandment is to be found and known in the Church, the family, labor, and government. His commandment permits man to live as man before God, in a world God made, with responsibility for the institutions of that world. (shrink)

Condorcet's famous jury theorem reaches an optimistic conclusion on the correctness of majority decisions, based on two controversial premises about voters: they are competent and vote independently, in a technical sense. I carefully analyse these premises and show that: whether a premise is justi…ed depends on the notion of probability considered; none of the notions renders both premises simultaneously justi…ed. Under the perhaps most interesting notions, the independence assumption should be weakened.

Judgment-aggregation theory has always focused on the attainment of rational collective judgments. But so far, rationality has been understood in static terms: as coherence of judgments at a given time, defined as consistency, completeness, and/or deductive closure. This paper asks whether collective judgments can be dynamically rational, so that they change rationally in response to new information. Formally, a judgment aggregation rule is dynamically rational with respect to a given revision operator if, whenever all individuals revise their judgments in light (...) of some information (a learnt proposition), then the new aggregate judgments are the old ones revised in light of this information, i.e., aggregation and revision commute. We prove an impossibility theorem: if the propositions on the agenda are non-trivially connected, no judgment aggregation rule with standard properties is dynamically rational with respect to any revision operator satisfying some basic conditions on revision. Our theorem is the dynamic-rationality counterpart of some well-known impossibility theorems for static rationality. We also explore how dynamic rationality might be achieved by relaxing some of the conditions on the aggregation rule and/or the revision operator. Notably, premise-based aggregation rules are dynamically rational with respect to so-called premise-based revision operators. (shrink)

We present an abstract model of rationality that focuses on structural properties of attitudes. Rationality requires coherence between your attitudes, such as your beliefs, values, and intentions. We define three 'logical' conditions on attitudes: consistency, completeness, and closedness. They parallel the familiar logical conditions on beliefs, but contrast with standard rationality conditions like preference transitivity. We establish a formal correspondence between our logical conditions and standard rationality conditions. Addressing John Broome's programme 'rationality through reasoning', we formally characterize how you can (...) (not) become more logical by reasoning. Our analysis connects rationality with logic, and enables logical talk about multi-attitude psychology. (shrink)

Living organisms are exposed to numerous influencing factors. This holds also true for their infrastructures that are processing and transducing information like endocrine networks or nerval channels. Therefore, the ability to compensate for noise is crucial for survival. An efficient mechanism to neutralise disturbances is instantiated in form of parallel complementary communication channels exerting antagonistic effects at their common receivers. Different signal processing types share the ability to suppress noise, to widen the system’s regulation capacity, and to provide for variable (...) gains while leaving the transferred signal to a large extent unchanged. (shrink)

This paper offers an explanation for why some parts of philosophy have made no progress. Philosophy has made no progress because it cannot make progress. And it cannot because of the nature of the phenomena philosophy is tasked with explaining—all of it involves consciousness. Here, it will not be argued directly that consciousness is intractable. Rather, it will be shown that a specific version of the problem of consciousness is unsolvable. This version is the Problem of the Subjective and Objective. (...) Then it is argued that the unsolvability of this latter problem is why there are other unsolvable philosophy problems. (shrink)

There are many possible ways to approach the topic of educational theory and critique. One could inquire into the meaning of critical phenomena and subject-matter in practical education and instruction, investigate the various forms of critique with the goal of determining the extent to which they assist in clarifying pedagogical action, or one could ask: ‘What is meant by critical educational research?’ and ‘How do the various approaches to this topic relate to one another?’. This article inquires into the relationship (...) between critique and negativity. Such a distinction is relevant for the practical, theoretical and research-oriented use of the various forms and subject matters of critique. This analysis of their relationship aims to clarify how the structure of human learning connects to that of pedagogical action; and, additionally, how the theoretical guidelines and orientation for pedagogical action relate to scientific analyses and research in education in a way that is productive. Distinctions made in thought, judgement and action are not simply delimiting positive characteristics. Such distinctions are at once mediated by the relations of knowledge and ignorance, ability and inability. Although ignorance and inability can be transformed into positive knowledge and ability, they are not superseded in the process. Ignorance and inability are, on the contrary, constitutive elements of learning. The possibility for transitions from ignorance and inability to knowledge and ability—a possibility that itself presupposes knowledge and ability—point to a form of negativity within the process of education (Bildung). This form of negativity relates to the human ability to learn (Bildsamkeit) and provides the definitive basis of human learning. A form of negativity constitutive of learning processes leads to one that grounds pedagogical processes. Pedagogical efficacy is mediated by a double negativity, comprised of both a universal and a particular form of negativity. The relation of negativity to learning and pedagogical efficacy, with specific reference to educational research studies on teaching and learning processes, is considered. A form of educational research that operates beyond fundamentalist criticisms—that is to say, criticisms based on unshakeable beliefs—and utilises issues arising from a pluralisation of critique to confront the pluralism of critical positions, is considered. The article closes with reflections on the relation between the Critical and the Uncritical. (shrink)

Tomus 1. Schriften zur Intellekttheorie.

English summary: Ernst Cassirer's philosophy of culture provides surprising insights into the relationship between culture and religion. The authors of the articles in this volume discuss the controversial question of whether and how religion can be an integral part of human culture. German description: Der Philosoph Ernst Cassirer ist zu einer Schlusselgestalt kulturwissenschaftlicher Diskurse der Gegenwart geworden. Im Mittelpunkt des Interesses steht sein Begriff der symbolischen Form, der unterschiedliche Felder der Kultur miteinander zu verknupfen erlaubt. Dieser Gedanke der symbolischen Form, (...) der die klassische deutsche Philosophie beerbt, gewinnt besondere Aktualitat, sobald kein zusammenfassender Allgemeinbegriff von Kultur mehr gegeben werden kann, sie aber dennoch als ein grosser Zusammenhang gedacht werden soll. Das Ganze der Kultur baut sich erst im Vollzug des Begreifens auf - damit wird Kultur auf neue Weise zum Thema der Theologie, so wird Religion als Element der Kultur neu gedacht. In den Beitragen dieses Bandes diskutieren Theologen und Philosophen Perspektiven der Kulturtheorie Cassirers und ihrer Beziehung zur Religion. Damit wird zugleich ein Grundproblem der Kulturphilosophie Cassirers erortert. (shrink)

Can a group be an orthodox rational agent? This requires the group's aggregate preferences to follow expected utility (static rationality) and to evolve by Bayesian updating (dynamic rationality). Group rationality is possible, but the only preference aggregation rules which achieve it (and are minimally Paretian and continuous) are the linear-geometric rules, which combine individual values linearly and combine individual beliefs geometrically. Linear-geometric preference aggregation contrasts with classic linear-linear preference aggregation, which combines both values and beliefs linearly, but achieves only static (...) rationality. Our characterisation of linear-geometric preference aggregation has two corollaries: a characterisation of linear aggregation of values (Harsanyi's Theorem) and a characterisation of geometric aggregation of beliefs. (shrink)

Behaviourism is the view that preferences, beliefs, and other mental states in social-scientific theories are nothing but constructs re-describing people's behaviour. Mentalism is the view that they capture real phenomena, on a par with the unobservables in science, such as electrons and electromagnetic fields. While behaviourism has gone out of fashion in psychology, it remains influential in economics, especially in ‘revealed preference’ theory. We defend mentalism in economics, construed as a positive science, and show that it fits best scientific practice. (...) We distinguish mentalism from, and reject, the radical neuroeconomic view that behaviour should be explained in terms of brain processes, as distinct from mental states. (shrink)

Recently, a number of philosophers of biology have endorsed views about random drift that, we will argue, rest on an implicit assumption that the meaning of concepts such as drift can be understood through an examination of the mathematical models in which drift appears. They also seem to implicitly assume that ontological questions about the causality of terms appearing in the models can be gleaned from the models alone. We will question these general assumptions by showing how the same equation (...) — the simple 2 = p2 + 2pq + q2 — can be given radically different interpretations, one of which is a physical, causal process and one of which is not. This shows that mathematical models on their own yield neither interpretations nor ontological conclusions. Instead, we argue that these issues can only be resolved by considering the phenomena that the models were originally designed to represent and the phenomena to which the models are currently applied. When one does take those factors into account, starting with the motivation for Sewall Wright’s and R.A. Fisher’s early drift models and ending with contemporary applications, a very different picture of the concept of drift emerges. On this view, drift is a term for a set of physical processes, namely, indiscriminate sampling processes. (shrink)

There are many possible ways to approach the topic of educational theory and critique. One could inquire into the meaning of critical phenomena and subject-matter in practical education and instruction, investigate the various forms of critique with the goal of determining the extent to which they assist in clarifying pedagogical action, or one could ask: ‘What is meant by critical educational research?’ and ‘How do the various approaches to this topic relate to one another?’. This article inquires into the relationship (...) between critique and negativity. Such a distinction is relevant for the practical, theoretical and research-oriented use of the various forms and subject matters of critique. This analysis of their relationship aims to clarify how the structure of human learning connects to that of pedagogical action; and, additionally, how the theoretical guidelines and orientation for pedagogical action relate to scientific analyses and research in education in a way that is productive. Distinctions made in thought, judgement and action are not simply delimiting positive characteristics. Such distinctions are at once mediated by the relations of knowledge and ignorance, ability and inability. Although ignorance and inability can be transformed into positive knowledge and ability, they are not superseded in the process. Ignorance and inability are, on the contrary, constitutive elements of learning. The possibility for transitions from ignorance and inability to knowledge and ability—a possibility that itself presupposes knowledge and ability—point to a form of negativity within the process of education (Bildung). This form of negativity relates to the human ability to learn (Bildsamkeit) and provides the definitive basis of human learning. A form of negativity constitutive of learning processes leads to one that grounds pedagogical processes. Pedagogical efficacy is mediated by a double negativity, comprised of both a universal and a particular form of negativity. The relation of negativity to learning and pedagogical efficacy, with specific reference to educational research studies on teaching and learning processes, is considered. A form of educational research that operates beyond fundamentalist criticisms—that is to say, criticisms based on unshakeable beliefs—and utilises issues arising from a pluralisation of critique to confront the pluralism of critical positions, is considered. The article closes with reflections on the relation between the Critical and the Uncritical. (shrink)

We introduce a “reason-based” framework for explaining and predicting individual choices. It captures the idea that a decision-maker focuses on some but not all properties of the options and chooses an option whose motivationally salient properties he/she most prefers. Reason-based explanations allow us to distinguish between two kinds of context-dependent choice: the motivationally salient properties may (i) vary across choice contexts, and (ii) include not only “intrinsic” properties of the options, but also “context-related” properties. Our framework can accommodate boundedly rational (...) and sophisticatedly rational choice. Since properties can be recombined in new ways, it also offers resources for predicting choices in unobserved contexts. (shrink)

Which rules for aggregating judgments on logically connected propositions are manipulable and which not? In this paper, we introduce a preference-free concept of non-manipulability and contrast it with a preference-theoretic concept of strategy-proofness. We characterize all non-manipulable and all strategy-proof judgment aggregation rules and prove an impossibility theorem similar to the Gibbard--Satterthwaite theorem. We also discuss weaker forms of non-manipulability and strategy-proofness. Comparing two frequently discussed aggregation rules, we show that “conclusion-based voting” is less vulnerable to manipulation than “premise-based voting”, (...) which is strategy-proof only for “reason-oriented” individuals. Surprisingly, for “outcome-oriented” individuals, the two rules are strategically equivalent, generating identical judgments in equilibrium. Our results introduce game-theoretic considerations into judgment aggregation and have implications for debates on deliberative democracy. (shrink)

Called by Karl Barth the brilliant Ethics of Dietrich Bonhoeffer, this book is finally being recognized as Bonhoeffers magnum opus and one of the most important works of Christian ethics of the last century.

Computer-simulated scenarios have been part of psychological research on problem solving for more than 40 years. The shift in emphasis from simple toy problems to complex, more real-life oriented problems has been accompanied by discussions about the best ways to assess the process of solving complex problems. Psychometric issues such as reliable assessments and addressing correlations with other instruments have been in the foreground of these discussions and have left the content validity of complex problem solving in the background. In (...) this paper, we return the focus to content issues and address the important features that define complex problems. (shrink)

Agents are often assumed to have degrees of belief (“credences”) and also binary beliefs (“beliefs simpliciter”). How are these related to each other? A much-discussed answer asserts that it is rational to believe a proposition if and only if one has a high enough degree of belief in it. But this answer runs into the “lottery paradox”: the set of believed propositions may violate the key rationality conditions of consistency and deductive closure. In earlier work, we showed that this problem (...) generalizes: there exists no local function from degrees of belief to binary beliefs that satisfies some minimal conditions of rationality and non-triviality. “Locality” means that the binary belief in each proposition depends only on the degree of belief in that proposition, not on the degrees of belief in others. One might think that the impossibility can be avoided by dropping the assumption that binary beliefs are a function of degrees of belief. We prove that, even if we drop the “functionality” restriction, there still exists no local relation between degrees of belief and binary beliefs that satisfies some minimal conditions. Thus functionality is not the source of the impossibility; its source is the condition of locality. If there is any non-trivial relation between degrees of belief and binary beliefs at all, it must be a “holistic” one. We explore several concrete forms this “holistic” relation could take. (shrink)

The widely discussed "discursive dilemma" shows that majority voting in a group of individuals on logically connected propositions may produce irrational collective judgments. We generalize majority voting by considering quota rules, which accept each proposition if and only if the number of individuals accepting it exceeds a given threshold, where different thresholds may be used for different propositions. After characterizing quota rules, we prove necessary and sufficient conditions on the required thresholds for various collective rationality requirements. We also consider sequential (...) quota rules, which ensure collective rationality by adjudicating propositions sequentially and letting earlier judgments constrain later ones. Sequential rules may be path-dependent and strategically manipulable. We characterize path-independence and prove its essential equivalence to strategy-proofness. Our results shed light on the rationality of simple-, super-, and sub-majoritarian decision-making. (shrink)

This brief commentary has three goals. The first is to argue that ‘‘framework debate’’ in cognitive science is unresolvable. The idea that one theory or framework can singly account for the vast complexity and variety of cognitive processes seems unlikely if not impossible. The second goal is a consequence of this: We should consider how the various theories on offer work together in diverse contexts of investigation. A final goal is to supply a brief review for readers who are compelled (...) by these points to explore existing literature on the topic. Despite this literature, pluralism has garnered very little attention from broader cognitive science. We end by briefly considering what it might mean for theoretical cognitive science. (shrink)

In the theory of judgment aggregation, it is known for which agendas of propositions it is possible to aggregate individual judgments into collective ones in accordance with the Arrow-inspired requirements of universal domain, collective rationality, unanimity preservation, non-dictatorship and propositionwise independence. But it is only partially known (e.g., only in the monotonic case) for which agendas it is possible to respect additional requirements, notably non-oligarchy, anonymity, no individual veto power, or implication preservation. We fully characterize the agendas for which there (...) are such possibilities, thereby answering the most salient open questions about propositionwise judgment aggregation. Our results build on earlier results by Nehring and Puppe (2002), Nehring (2006), Dietrich and List (2007a) and Dokow and Holzman (2010a). (shrink)

Der Beitrag gliedert sich in drei Abschnitte. Der erste unterstreicht die Aktualität des Themas mit Verweis auf Forderungen der Kinderrechtsbewegung und Erkenntnisse der Hirnforschung und bringt einen Anfang des 19. Jahrhunderts geführten Diskurs über die Ableitbarkeit oder Nicht-Ableitbarkeit der Erziehung aus empirischer Anthropologie und Praktischer Philosophie in Erinnerung. Der zweite stellt philosophischen Erörterungen der Freiheitsthematik, die seit der Antike die Erziehungstatsache ausgeblendet haben, einen praxistheoretischen Begriff der Freiheit im pädagogischen Sinn gegenüber, der zwischen Willensfreiheit, Willensbildung und Freiheit vom Willen unterscheidet. (...) Der Beitrag schließt mit einem Ausblick auf Zusammenhänge von Bildsamkeit, Erziehung und Freiheit, die für pädagogische Anschlussreflexionen zur Kinderrechtsbewegung und praxistheoretische Interpretationen von Ergebnissen der Hirnforschung bedeutsam sind. (shrink)

O avanço tecnológico envolve e faz parte do cotidiano de todas as pessoas, e a sua influência pode ser direta ou indireta. O que se faz são up-grades com o propósito de conseguir participar deste universo digital. As Tecnologia de Informação e Comunicação (TIC) tem provocado alterações na humanidade, no modo de viver, de se relacionar, aprender, pensar e ensinar. Propõe-se um estudo bibliográfico, baseado em duas grandes obras de Pierre Lévy, um dos grandes pensadores da era da informação: O (...) que é virtual? (2011) e Cibercultura (2010). O artigo está estruturado do seguinte modo: discute a definição de virtual segundo o ponto de vista de Lévy; apresenta a inteligência coletiva e sua influência na sociedade; e enfoca uma nova proposta de aprendizagem, que possibilita o aprendizado por intermédio das atividades sociais e profissionais dos indivíduos. Portanto, a virtualização, além de ser a base de dados e informações, quebra as barreiras do tempo e do espaço, aproxima professores e alunos e lhes fornece ferramentas para a construção do conhecimento, colocando-os nesse produtivo processo de ensino e aprendizagem. (shrink)

All existing impossibility theorems on judgment aggregation require individual and collective judgment sets to be consistent and complete, arguably a demanding rationality requirement. They do not carry over to aggregation functions mapping profiles of consistent individual judgment sets to consistent collective ones. We prove that, whenever the agenda of propositions under consideration exhibits mild interconnections, any such aggregation function that is "neutral" between the acceptance and rejection of each proposition is dictatorial. We relate this theorem to the literature.