An allocation problem is a type of aggregation problem in which the values of individuals' opinions on some set of variables (canonically a set of mutually exclusive and exhaustive possibilities) sum to a constant. This paper shows that for realistic allocation problems, namely ones in which the set of possible opinion values is finite, the only universal aggregation methods that satisfy two commonly invoked conditions are the dictatorial ones. The two conditions are, first, that the aggregate opinion on any variable (...) depends only on the individuals' opinions on that variable and not on their opinions on any other variable and, secondly, that the aggregate opinion minimally preserves unanimous individual opinion. Connections between this result and similar ones in the literature on judgment aggregation are explored and their significance assessed. (shrink)
Abstract. Suppose that several individuals who have separately assessed prior probability distributions over a set of possible states of the world wish to pool their individual distributions into a single group distribution, while taking into account jointly perceived new evidence. They have the option of (i) first updating their individual priors and then pooling the resulting posteriors or (ii) first pooling their priors and then updating the resulting group prior. If the pooling method that they employ is such that they (...) arrive at the same final distribution in both cases, the method is said to be externally Bayesian, a property first studied by Madansky (1964). We show that a pooling method for discrete distributions is externally Bayesian if and only if it commutes with Jeffrey conditioning, parameterized in terms of certain ratios of new to old odds, as in Wagner (2002), rather than in terms of the posterior probabilities of members of the disjoint family of events on which such conditioning originates. (shrink)
Meike Wagner and Wolf-Dieter Ernst Performing the Matrix. Mediating Cultural Performances Neo: The matrix? Morpheus: Do you want to know what it is? ...
A decision problem in which the values of the decision variables must sum to a fixed positive real number s is called an "allocation problem," and the problem of aggregating the allocations of n experts the "allocation aggregation problem." Under two simple axiomatic restrictions on aggregation, the only acceptable allocation aggregation method is based on weighted arithmetic averaging (Lehrer and Wagner, Rational Consensus in Science and Society, 1981). In this note it is demonstrated that when the values assigned to (...) the variables are restricted to a finite set (as is always the case in practice), the aforementioned axioms allow only dictatorial aggregation. (shrink)
Garber (1983) and Jeffrey (1991, 1995) have both proposed solutions to the old evidence problem. Jeffrey's solution, based on a new probability revision method called reparation, has been generalized to the case of uncertain old evidence and probabilistic new explanation in Wagner 1997, 1999. The present paper reformulates some of the latter work, highlighting the central role of Bayes factors and their associated uniformity principle, and extending the analysis to the case in which an hypothesis bears on a countable (...) family of evidentiary propositions. This extension shows that no Garber-type approach is capable of reproducing the results of generalized reparation. (shrink)
Cornelius Castoriadis is one of the very few social and political philosophers - modern and ancient - for whom a concept of imagination is truly central. In his work, however, the role of imagination is so overarching that it becomes difficult to grasp its workings and consequences in detail, in particular in its relation to democracy as the political form in which autonomy is the core imaginary signification. This article will proceed by first suggesting some clarifications about Castoriadis's employment of (...) the concept. This preparatory exploration will allow us in a second step to discuss why the idea of democracy is closely linked to tragedy, and why this linkage in turn is dependent on the centrality of imagination for human action. In a third conceptual step, finally, we suggest that any concept of imagination will need to take into account the plurality and diversity of the outcomes of the power of imagination. Thus, the question of the nature of the novelty that imagination creates needs to be addressed as well as the one of the agon in the face of different imagined innovations in a given democratic political setting. As a consequence of this shift in emphasis, to be elaborated further, one will be able to say more about one question of which Castoriadis was well aware, which he never addressed himself in detail, though: the decline and end of polities and political forms, the question of political mortality. Content Type Journal Article Pages 12-28 Authors Nathalie Karagiannis, University of Barcelona Peter Wagner, University of Barcelona Journal Critical Horizons: A Journal of Philosophy & Social Theory Online ISSN 1568-5160 Print ISSN 1440-9917 Journal Volume Volume 13 Journal Issue Volume 13, Number 1 / 2012. (shrink)
Universals are a class of mind independent entities, usually contrasted with individuals, postulated to ground and explain relations of qualitative identity and resemblance among individuals. Individuals are said to be similar in virtue of sharing universals. An apple and a ruby are both red, and their common redness results from sharing a universal. If they are both red at the same time, the universal, red, must be in two places at once. This makes universals quite different from individuals, and controversial. (...) Whether universals are in fact required to explain relations of qualitative identity and resemblance among individuals has engaged metaphysicians for two thousand years. Disputants fall into one of three broad camps. Realists endorse universals. Conceptualists and Nominalists, on the other hand, refuse to accept universals and deny that they are needed. Conceptualists explain similarity among individuals by appealing to general concepts or ideas, things that exist only in minds. Nominalists, in contrast, are content to leave relations of qualitative resemblance brute and ungrounded. Numerous versions of Nominalism have been proposed, some with a great deal of sophistication. Contemporary philosophy has seen the rise of a new form of Nominalism, one that makes use of a special class of individuals, known as tropes. Familiar individuals have many properties, but tropes are single property instances. Whether Trope Nominalism improves on earlier Nominalist theories is the subject of much recent debate. In general, questions surrounding universals touch upon some of the oldest, deepest, and most abstract of philosophical issues. (shrink)
This paper argues in defense of theanti-reductionist consensus in the philosophy ofbiology. More specifically, it takes issues with AlexRosenberg's recent challenge of this position. Weargue that the results of modern developmentalgenetics rather than eliminating the need forfunctional kinds in explanations of developmentactually reinforce their importance.
Systems involving many interacting variables are at the heart of the natural and social sciences. Causal language is pervasive in the analysis of such systems, especially when insight into their behavior is translated into policy decisions. This is exemplified by economics, but to an increasing extent also by biology, due to the advent of sophisticated tools to identify the genetic basis of many diseases. It is argued here that a regularity notion of causality can only be meaningfully defined for systems (...) with linear interactions among their variables. For the vastly more important class of nonlinear systems, no such notion is likely to exist. This thesis is developed with examples of dynamical systems taken mostly from mathematical biology. It is discussed with particular reference to the problem of causal inference in complex genetic systems, systems for which often only statistical characterizations exist. (shrink)
Individuals are faced with the many opportunities to pirate. The decision to pirate or not may be related to an individual''s attitudes toward other ethical issues. A person''s ethical and moral predispositions and the judgments that they use to make decisions may be consistent across various ethical dilemmas and may indicate their likelihood to pirate software. This paper investigates the relationship between religion and a theoretical ethical decision making process that an individual uses when evaluating ethical or unethical situations. An (...) ethical decision making model was studied for general unethical scenarios and for the unethical behavior of software piracy. The research model was tested via path analysis using structural equation modeling and was found to be appropriate for the sample data. The results suggest that there is a relationship between religion and the stages of an ethical decision making process regarding general ethical situations and software piracy. (shrink)
In this paper we argue that an operational organism concept can help to overcome the structural deficiency of mathematical models in biology. In our opinion, the structural deficiency of mathematical models lies mainly in our inability to identify functionally relevant biological characters in biological systems, and not so much in a lack of adequate mathematical representations of biological processes. We argue that the problem of character identification in biological systems is linked to the question of a properly formulated organism concept. (...) Lastly, we demonstrate how a decomposition of an organism into independent characters in the context of a specific biological process--such as adaptation by means of natural selection--depends on the dynamical properties and invariance conditions of the equations that describe this process. (shrink)
We establish a probabilized version of modus tollens, deriving from p(E|H)=a and p()=b the best possible bounds on p(). In particular, we show that p() 1 as a, b 1, and also as a, b 0. Introduction Probabilities of conditionals Conditional probabilities 3.1 Adams' thesis 3.2 Modus ponens for conditional probabilities 3.3 Modus tollens for conditional probabilities.
Jeffrey has devised a probability revision method that increases the probability of hypothesis H when it is discovered that H implies previously known evidence E. A natural extension of Jeffrey's method likewise increases the probability of H when E has been established with sufficiently high probability and it is then discovered, quite apart from this, that H confers sufficiently higher probability on E than does its logical negation H̄.
The right interpretation of subjective probability is implicit in the theories of upper and lower odds, and upper and lower previsions, developed, respectively, by Cedric Smith (1961) and Peter Walley (1991). On this interpretation you are free to assign contingent events the probability 1 (and thus to employ conditionalization as a method of probability revision) without becoming vulnerable to a weak Dutch book.
The so-called "non-commutativity" of probability kinematics has caused much unjustified concern. When identical learning is properly represented, namely, by identical Bayes factors rather than identical posterior probabilities, then sequential probability-kinematical revisions behave just as they should. Our analysis is based on a variant of Field's reformulation of probability kinematics, divested of its (inessential) physicalist gloss.
We define an R-group to be a stable group with the property that a generic element (for any definable transitive group action) can only be algebraic over a generic. We then derive some corollaries for R-groups and fields, and prove a decomposition theorem and a field theorem. As a nonsuperstable example, we prove that small stable groups are R-groups.
This research tests a model of employee helping behavior (a component of Organizational Citizenship Behavior, OCB) that involves a direct path (Intrinsic Motives → Helping Behavior, the Good Samaritan Effect) and an indirect path (the Love of Money → Extrinsic Motives → Helping Behavior). Results for the full sample supported the Good Samaritan Effect. Further, the love of money was positively related to extrinsic motives that were negatively related with helping behavior. We tested the model across four cultures (the USA., (...) Taiwan, Poland, and Egypt). The Good Samaritan Effect was significant for all four countries. For the indirect path, the first part was significant for all countries, except Egypt, whereas the second part was significant for Poland only. For Poland, the indirect path was significant and positive. The love of money may cause one to help in one culture (Poland) but not to help in others. Results were discussed in the light of ethical decision making. (shrink)
The properties of the phosphate uptake system of the cyanobacterium Anacystis nidulans have been studied during the transition from a phosphate-deficient non-growing state to a non-deficient growing state. In the phosphate-deficient state the high affinity phosphate transport system in the cell membrane is extremely adaptive. As a result of these adaptive features the phosphate transport system cannot be described by determinate, fixed parameters, because the transport system is influenced by the measurement of the uptake process itself. When the growing state (...) has been initiated by a persisting phosphate pulse, the transport system rapidly loses its adaptive features and can then be characterized by determinate parameters that remain unchanged for a long period of time, even if no uptake occurs in that time. Depending on the amount of phosphate stored during a pulse the cell makes a choice between slow or fast growth. In the latter case the light harvesting and energy converting machinery is completely reorganized before growth commences. Thereby the components of this machinery conform to each other and to the stable properties of the phosphate transport system. It is suggested that the mutual adjustment of these adaptive energy converting subunits is guided by attractors that function as the final cause for the development of the whole system.An application of this model to an analysis of the selforganization of aquatic ecosystems is discussed. (shrink)
We analyzed a sample of 356 forms containing information that Colorado law legally requires both licensed and unlicensed therapists to disclose to clients. The majority of forms contained the legally mandated information; fewer forms contained ethically desirable information. The average readability grade level was 15.74, corresponding to upper-level college, and 63.9% of the forms reached the highest (most difficult) readability grade of 17 +. Therapists are obeying the law, but do not appear to be taking advantage of the opportunity to (...) provide their clients useful information in an accessible way. (shrink)
We show that if p is a real type which is almost internal in a formula φ in a simple theory, then there is a type p' interalgebraic with a finite tuple of realizations of p, which is generated over φ. Moreover, the group of elementary permutations of p' over all realizations of φ is type-definable.
A simple rule of probability revision ensures that the final result ofa sequence of probability revisions is undisturbed by an alterationin the temporal order of the learning prompting those revisions.This Uniformity Rule dictates that identical learning be reflectedin identical ratios of certain new-to-old odds, and is grounded in the oldBayesian idea that such ratios represent what is learned from new experiencealone, with prior probabilities factored out. The main theorem of this paperincludes as special cases (i) Field's theorem on commuting probability-kinematical (...) revisions and (ii) the equivalence of two strategiesfor generalizing Jeffrey's solution to the old evidence problem tothe case of uncertain old evidence and probabilistic new explanation. (shrink)
Additional results are reported on the author's earlier generalization of Richard Jeffrey's solution to the problem of old evidence and new explanation.
A structure (M, $ ,...) is called quasi-o-minimal if in any structure elementarily equivalent to it the definable subsets are exactly the Boolean combinations of 0-definable subsets and intervals. We give a series of natural examples of quasi-o-minimal structures which are not o-minimal; one of them is the ordered group of integers. We develop a technique to investigate quasi-o-minimality and use it to study quasi-o-minimal ordered groups (possibly with extra structure). Main results: any quasi-o-minimal ordered group is abelian; any quasi-o-minimal (...) ordered ring is a real closed field, or has zero multiplication; every quasi-o-minimal divisible ordered group is o-minimal; every quasi-o-minimal archimedian densely ordered group is divisible. We show that a counterpart of quasi-o-minimality in stability theory is the notion of theory of U-rank 1. (shrink)
The problem of modifier evolution was examined with regard to the idea that modifier evolution can be considered as a result of selection for adaptation speed in populations far from equilibrium. This kind of selection was called feedback selection in order to emphasize the difference to theories which consider modifier evolution near the equilibrium. The basic principles of this kind of selection are derived for asexual populations and the problem of dominance is discussed in the light of this concept. In (...) general the results support the view, that the genetic properties of a character are selected along with the character itself. (shrink)
In recent work, the authors have established the group configuration theorem for simple theories, as well as some of its main applications from geometric stability theory, such as the binding group theorem, or in the ω-categorical case, the characterization of the forking geometry of a finitely based non-trivial locally modular regular type as projective geometry over a finite field and the equivalence of pseudolinearity and local modularity. The proof necessitated an extension of the model-theoretic framework to include almost hyperimaginaries, and (...) the study of polygroups. (shrink)
Jeffrey conditionalization is generalized to the case in which new evidence bounds the possible revisions of a prior below by a Dempsterian lower probability. Classical probability kinematics arises within this generalization as the special case in which the evidentiary focal elements of the bounding lower probability are pairwise disjoint.
We study local strengthenings of the simplicity condition. In particular, we define and study a local Lascar rank, as well as short, low, supershort and superlow theories. An example of a low, non supershort theory is given.
An ω-categorical supersimple group is finite-by-abelian-by-finite, and has finite SU-rank. Every definable subgroup is commensurable with an acl( $\emptyset$ )-definable subgroup. Every finitely based regular type in a CM-trivial ω-categorical simple theory is non-orthogonal to a type of SU-rank 1. In particular, a supersimple ω-categorical CM-trivial theory has finite SU-rank.
If G is an omega-stable group with a normal definable subgroup H, then the Sylow-2-subgroups of G/H are the images of the Sylow-2-subgroups of G. /// Sei G eine omega-stabile Gruppe und H ein definierbarer Normalteiler von G. Dann sind die Sylow-2-Untergruppen von G/H Bilder der Sylow-2-Untergruppen von G.
We develop a Sylow theory for stable groups satisfying certain additional conditions (2-finiteness, solvability or smallness) and show that their maximal p-subgroups are locally finite and conjugate. Furthermore, we generalize a theorem of Baer-Suzuki on subgroups generated by a conjugacy class of p-elements.
If * is a binary partial function which happens to be a group law on some infinite subset of some model of a stable theory, then this subset can be embedded into a definable group such that * becomes the group operation.
We define a generalized version of CM-triviality, and show that in the presence of enough regular types, or solubility, a stable CM-trivial group is nilpotent-by-finite. A torsion-free small CM-trivial stable group is abelian and connected. The first result makes use of a generalized version of the analysis of bad groups.
If K is a field of finite Morley rank, then for any parameter set $A \subseteq K^{eq}$ the prime model over A is equal to the model-theoretic algebraic closure of A. A field of finite Morley rank eliminates imaginaries. Simlar results hold for minimal groups of finite Morley rank with infinite acl( $\emptyset$ ).
We prove that a stable solvable group G which satisfies xn = 1 generically is of finite exponent dividing some power of n. Furthermore, G is nilpotent-by-finite. A second result is that in a stable group of finite exponent, involutions either have big centralisers, or invert a subgroup of finite index (which hence has to be abelian).
We generalise various properties of quasiendomorphisms from groups with regular generic to small abelian groups. In particular, for a small abelian group such that no infinite definable quotient is connected-by-finite, the ring of quasi-endomorphisms is locally finite. Under some additional assumptions, it decomposes modulo some nil ideal into a sum of finitely many matrix rings.
We define the notion of generic for an arbitrary subgroup H of a stable group, and show that H has a definable hull with the same generic properties. We then apply this to the theory of stable fields.
During the years preceding the composition of Tristan and Isolde, Wagner's aesthetics underwent a momentous turnaround, principally as a result of his discovery of Schopenhauer. Many of Schopenhauer's ideas, especially those regarding music's metaphysical significance, resonated with patterns of thought that had long been central to Wagner's aesthetics, and Wagner described the entry of Schopenhauer into his life as "a gift from heaven." Chafe argues that Wagner's Tristan and Isolde is a musical and dramatic exposition of (...) metaphysical ideas inspired by Schopenhauer. The first part of the book covers the philosophical and literary underpinnings of the story, exploring Schopenhauer's metaphysics and Gottfried van Strassburg's Tristan poem. Chafe then turns to the events in the opera, providing tonal and harmonic analyses that reinforce his interpretation of the drama. Chafe acts as an expert guide, interpreting and illustrating most important moments for his reader. Ultimately, Chafe creates a critical account of Tristan, in which the drama is shown to develop through the music. (shrink)
Translated Felicia McCarren. Stanford: Stanford UP and Cambridge: Cambridge UP, 1995 (Meridian: Crossing Aesthetics series). Pages: xxiii + 161. Pb: 0 8047 2385 0; 10.95. Hb: 0 8047 2376 I; 25.00. Originally published in French as Musica Ficta (Figures de Wagner). Paris: Christian Bourgois, 1991.
In this review of Eric Schwitzgebel's "Perplexities of Consciousness", we discuss the book's arguments in light of the role of attention in introspection.
Pierre Trémaux’s 1865 ideas on speciation have been unjustly derided following his acceptance by Marx and rejection by Engels, and almost nobody has read his ideas in a charitable light. Here we offer an interpretation based on translating the term sol as “habitat”, in order to show that Trémaux proposed a theory of allopatric speciation before Wagner and a punctuated equilibrium theory before Gould and Eldredge, and translate the relevant discussion from the French. We believe he may have influenced (...) Darwin’s revision to the third edition of the Origin on rates of evolution, and suggest that Gould’s dismissal of Trémaux is motivated by concern that others might think punctuated equilibrium theory was tainted by a connection with Trémaux. (shrink)
Nietzsche writes that the 'real task' of The Birth of Tragedy is to 'solve the puzzle of Wagner's relation to Greek tragedy'. The 'puzzle', I suggest, is the intermingling in his art and writings of earlier socialist optimism with later Schopenhauerian pessimism. According to the former the function of the 'rebirth of Greek tragedy' in the 'collective artwork' is to 'collect', and so create, community. According to the second the function of the artwork is to intimate a realm 'beyond' (...) this world of pain and death. The audacity of The Birth is that it attempts to show that Wagner can have his cake and eat it: the 'Dionysian', musical, element provides a 'metaphysical comfort', while the 'Apollonian', verbal, element draws a 'veil of oblivion' over the metaphysical, thereby allowing the artwork to solidify community. Contrary to the standard Anglophone view, this perspective on The Birth shows that Nietzsche's intimate association with Wagner during the period of its creation lies at the heart of its philosophical content. (shrink)
I examine Roger Scruton's account of the religious and soteriological significance of Wagner's Tristan and Isolde . The relation between Scruton and Wagner remains unclear, and the position at issue is a curious amalgam of the two. I refer to its author as ‘Scruton's Wagner’. Scruton's Wagner argues that erotic love has religious and soteriological significance, and that the notions of religion and salvation are to be defined in terms which are shorn of any reference to (...) God. I argue that there may be good reasons for setting these limits short of God, but that Scruton's Wagner does not provide them. (shrink)
In this paper I offer three main challenges to James (2011). All three turn on the nature of philosophy and secure knowledge in Spinoza. First, I criticize James's account of the epistemic role that experience plays in securing adequate ideas for Spinoza. In doing so I criticize her treatment of what is known as the ‘conatus doctrine’ in Spinoza in order to challenge her picture of the relationship between true religion and philosophy. Second, this leads me into a criticism of (...) her account of the nature of philosophy in Spinoza. I argue it is less piecemeal and less akin to what we would recognize as ‘science’ than she suggests. Third, I argue against James's core commitment that Spinoza's three kinds of knowledge differ in degree; I claim they differ in kind. My argument will offer a new interpretation of Spinoza's conception of ‘common notions’. Moreover, I argue that Spinozistic adequate knowledge involves something akin to angelic disembodiment. (shrink)
Although I am neither a Nazi nor an anti-Semite (quite the contrary, in fact), I like the music of Richard Wagner. Why do I like his music? Mainly because I find it intoxicating. Intoxicate: To cause stupefaction, stimulation, or excitement by or as if by use of a chemical substance.) I admit that this is not a very deep reason. But I’m not very deep. (My years as an analytic philosopher would have drained any depths I may once have (...) had.) Although Mark Twain once described Wagner’s music as ‘better than it sounds’, it actually sounds better than it is, since intoxicating substances deceive our senses. (Think of the love potion in Tristan.) There are, I grant, other more serious reasons to like and to value Wagner’s music. Rather than rehearse any of them, I’m going to turn to an annotated list of some of my favorite recordings. (shrink)
Introduction Jan Abbink and Hans Vermeulen This volume consists of essays and studies by authors inspired by the work of Eric Wolf, a central figure in ...
Was sind wir? Wie immer man sich zu dieser Frage stellt, eines scheint offenkundig: Wir sind Tiere, genauer gesagt: menschliche Tiere, Mitglieder der Art Homo sapiens. Dabei mag es überraschen, daß viele Philosophen diese vermeintlich banale Tatsache abstreiten. Plato, Augustinus, Descartes, Locke, Berkeley, Hume, Kant und Hegel, um nur einige herausragende zu nennen, waren alle der Meinung, wir seien keine Tiere. Es mag zwar sein, daß unsere Körper Tiere sind. Doch sind wir nicht mit unseren Körpern gleichzusetzen. Wir sind etwas (...) anderes als Tiere. Kaum anderer Meinung sind Denker nicht-westlicher Traditionen. Und rund neun von zehn Philosophen, die heutzutage über Probleme der personalen Identität nachdenken, vertreten Ansichten, die ausschließen, daß wir Tiere sind. (shrink)
Alexander Rosenberg recently claimed (1997) that developmental biology is currently being reduced to molecular biology. cite several concrete biological examples that are intended to impugn Rosenberg's claim. I first argue that although Laubichler and Wagner's examples would refute a very strong reductionism, a more moderate reductionism would escape their attacks. Next, taking my cue from the antireductionist's perennial stress on the importance of spatial organization, I describe one form an empirical finding that refutes this moderate reductionism would take. Finally, (...) I point out an actual example, anterior-posterior axis determination in the chick, that challenges the reductionist's belief that all developmental regularities can be explained by molecular biology. In short, I argue that Rosenberg's position can be saved from Laubichler and Wagner's criticisms and putative counter-examples, but it would not survive a different kind of counter-example. (shrink)
Eric R. Scerri: selected papers on the periodic table Content Type Journal Article DOI 10.1007/s10698-010-9089-2 Authors Pieter Thyssen, Ph.D. Fellow of the Research Foundation – Flanders (FWO), Department of Chemistry, Laboratory of Coordination Chemistry, Katholieke Universiteit Leuven, Celestijnenlaan 200F bus 2404, B-3001 Leuven, Belgium Journal Foundations of Chemistry Online ISSN 1572-8463 Print ISSN 1386-4238 Journal Volume Volume 12 Journal Issue Volume 12, Number 3.
