Beauty, or at least natural beauty, is famously a symbol of the morally good in Kant's theory of taste. Natural beauty is also, we argue, a symbol of the systematicity of nature. This symbolic connection of beauty and systematicity in nature sheds light on the relation between the principles underlying the use of reflecting judgement. The connection also motivates a more general interpretive proposal: the fact that the imagination can symbolize ideas plays a crucial role in the theory of taste; (...) it is the mechanism that underlies pure judgements of taste, the operation by which the imagination ‘schematizes without a concept’. (shrink)

Utilitarianism is often criticized because of its reliance on the interpersonal aggregation of harms and benefits. However, since the rejection of all forms of interpersonal aggregation strikes most people as implausible, some critics of utilitarianism have proposed theories of Limited Aggregation. These occupy the middle ground between fully aggregative and non-aggregative views. Recently, Limited Aggregation has been criticized for having counterintuitive implications that seem even worse than the counterintuitive implications of fully aggregative and non-aggregative views it tried to escape. I (...) here propose a new view of Limited Aggregation that does better than existing accounts in this regard. It is more modest than existing accounts of Limited Aggregation, but it retains the view's core idea. This, I claim, is the thought that sometimes very strong individual claims stand in the way of realizing the best outcome. (shrink)

Ex ante contractualism holds that in situations involving risk we ought to act in accordance with principles that license the action that satisfies the strongest individual claim, where those claims are a function of the expected value that a given policy gives each person ex ante. I here challenge ex ante contractualism on contractualist grounds. I argue that adopting ex ante contractualism would have far reaching implications that contractualists, or many nonconsequentialist in general, would find very hard to accept. I (...) conclude that to block these implications, contractualists should adopt an ex post approach to deal with decisions under risk. (shrink)

Im frühgriechischen Denken nimmt die Idee der Abhängigkeit menschlichen Lebens von ihn übersteigenden Mächten eine zentrale Stellung ein; der Mensch wird als weitgehend passiv verstanden. Anders Hesiod: Hinter seinen Erga steht das Bild eines aktiven, gestaltenden Menschen, der die Möglichkeit besitzt, sich für ein bestimmtes Handeln - gut wie schlecht - zu entscheiden. Die Entscheidung trifft sein nous, der "das eigentliche Selbst des Menschen" darstellt. Soll Handeln erfolgreich sein, muss es sich innerhalb der auf klaren Regeln beruhenden dike-Ordnung bewegen; so (...) kann der Mensch seine Zukunft weitgehend selbst gestalten und seine Ziele verwirklichen. Weil er erkennen kann, was schlecht ist, existiert auch kein scheinbar irrational waltendes Schicksal: Er ist nicht mehr nur Verantwortlicher, er ist schuldig an dem durch ihn in Gang gesetzten Geschehen. Vorliegende Untersuchung geht nicht nur dieser neuartigen Sichtweise nach, sondern zeigt auch, dass dem nous die Schlüsselfunktion für die adäquate Rezeption der Erga zukommt, die als Vereinigung unterschiedlicher Gattungen Hesiods bereits in der Theogonie erhobenen Anspruch, neuartige Dichtung zu schaffen, einlöst. (shrink)

We examine some assumptions about the nature of 'levels of reality' in the light of examples drawn from physics. Three central assumptions of the standard view of such levels (for instance, Oppenheim and Putnam 1958) are (i) that levels are populated by entities of varying complexity, (ii) that there is a unique hierarchy of levels, ranging from the very small to the very large, and (iii) that the inhabitants of adjacent levels are related by the parthood relation. Using examples from (...) physics, we argue that it is more natural to view the inhabitants of levels as the behaviors of entities, rather than entities themselves. This suggests an account of reduction between levels, according to which one behavior reduces to another if the two are related by an appropriate limit relation. By considering cases where such inter-level reduction fails, we show that the hierarchy of behaviors differs in several respects from the standard hierarchy of entities. In particular, while on the standard view, lower-level entities are 'micro' parts of higher-level entities, on our view, a system's macro-level behavior can be seen as a ('non-spatial') part of its micro-level behavior. We argue that this second hierarchy is not really in conflict with the standard view and that it better suits examples of explanation in science. (shrink)

Recently, an associative learning account of cognitive control has been suggested (Verguts & Notebaert, 2009). In this so-called adaptation by binding theory, Hebbian learning of stimulus–stimulus and stimulus–response associations is assumed to drive the adaptation of human behavior. In this study, we evaluated the validity of the adaptation-by-binding account for the case of implicit learning of regularities within a stimulus set (i.e., the frequency of specific unit digit combinations in a two-digit number magnitude comparison task) and their association with a (...) particular response. Our data indicated that participants indeed learned these regularities and adapted their behavior accordingly. In particular, influences of cognitive control were even able to override the numerical distance effect—one of the most robust effects in numerical cognition research. Thus, the general cognitive processes involved in two-digit number magnitude comparison seem much more complex than previously assumed. Multi-digit number magnitude comparison may not be automatic and inflexible but influenced by processes of cognitive control being highly adaptive to stimulus set properties and task demands on multiple levels. (shrink)

Kim’s model of ‘functional reduction’ of properties is shown to fail in a class of cases from physics involving properties at different spatial levels. The diagnosis of this failure leads to a non-reductive account of the relation of micro and macro properties.

We examine cases of emergent behavior in physics, and argue for an account of emergence based on features of the phase space portraits of certain dynamical systems. On our account, the phase space portraits of systems displaying emergent behavior are topologically inequivalent to those of the systems from which they ‘emerge’. This account gives us an objective sense in which emergent phenomena are qualitatively novel, without involving the difficulties associated with downward causation and the like. We also argue that the (...) role of complexity in emergence has been overstated: emergent behavior can occur in very simple systems, and even when it occurs in complex systems it is the qualitative novelty of that behavior, rather that the complexity of the system, that matters for emergence. (shrink)

This paper explicates two notions of emergencewhich are based on two ways of distinguishinglevels of properties for dynamical systems.Once the levels are defined, the strategies ofcharacterizing the relation of higher level to lower levelproperties as diachronic and synchronic emergenceare the same. In each case, the higher level properties aresaid to be emergent if they are novel or irreducible with respect to the lower level properties. Novelty andirreducibility are given precise meanings in terms of the effectsthat the change of a bifurcation (...) or perturbation parameterin the system has. (The same strategy can be applied to otherways of separating levels of properties, like themicro/macro distinction.)The notions of emergence developed here are notions of emergencein a weak sense: the higher level emergent properties wecapture are always structural properties (or are realized insuch properties), that is, they are defined in terms of the lowerlevel properties and their relations. Diachronic and synchronicemergent properties are distinctions within thecategory of structural properties. (shrink)

Given that scientific realism is based on the assumption that there is a connection between a model's predictive success and its truth, and given the success of multiple incompatible models in scientific practice, the realist has a problem. When the different models can be shown to arise as different approximations to a unified theory, however, one might think the realist to be able to accommodate such cases. I discuss a special class of models and argue that a realist interpretation has (...) to understand these models of a system as ‘ perspectival ’, in close analogy to different spatial perspectives onto the same object. For this sort of case, I also respond to Morrison's recent claim that in the process of unifying models into an overarching theory, explanatory and descriptive power are lost, leaving the unified theory with less of a claim to a realist interpretation than the models themselves. Introduction Perspectival models from singular perturbation problems Unification of perspectives without losses of explanatory power Perspectives as different levels of a system Perspectival models, idealizations and pluralism. (shrink)

The preference for `reductive explanations', i.e., explanations of the behaviour of a system at one `basic' level of sub-systems, seems to be related, at least in the physical sciences, to the success of a formal technique –- perturbation theory –- for extracting insight into the workings of a system from a supposedly exact but intractable mathematical description of the system. This preference for a style of explanation, however, can be justified only in the case of `regular' perturbation problems in which (...) the zeroth-order term in the perturbation expansion (characterizing the `basic' level) is the uniform limit of the exact solution as the perturbation parameter goes to zero. For the much more frequent case of `singular' perturbation problems, various techniques have been developed which all introduce a hierarchy of levels or scales into the solutions. These levels describe processes or sub-systems operating simultaneously at different time or spatial scales. No single level, no reductive explanation in the above sense will provide an adequate explanation of the system behaviour. Explanations involving multiple levels should be recognized as far more common even in supposedly reductionist disciplines like physics. (shrink)

Non-reductive physicalists have made a number of attempts to provide the relation of supervenience between levels of properties with enough bite to analyze interesting cases without at the same time losing the relation's acceptability for the physicalist. I criticize some of these proposals and suggest an alternative supplementation of the supervenience relation by imposing a requirement of robustness which is motivated by the notion of structural stability familiar from dynamical systems theory. Robust supervenience, I argue, captures what the non-reductive physicalist (...) wants from supervenience; most importantly, it provides a natural background for reconstructing the notion of (diachronic) property emergence in a way acceptable to physicalists. (shrink)

I argue that an adequate understanding of the practice of constructing models in physics requires a distinction between two strategies that are commonly both labeled ‘idealization’. The formal characteristic of both methods is to let a parameter in the equations for a target system go to zero. But the discussion of examples from various applications of perturbation theory shows that there is in general a difference with respect to the aims such limiting procedures are supposed to serve; and with different (...) aims comes the need to characterize the means (the interpretation of the limits) differently. I therefore suggest that we distinguish ‘idealizations’ from ‘perspectives’ or perspectival representations. (shrink)

A combination of process and counterfactual theories of causation is proposed with the aim of preserving the strengths of each of the approaches while avoiding their shortcomings. The basis for the combination, or hybrid, view is the need, common to both accounts, of imposing a stability requirement on the causal relation.

This article examines how aesthetics became a branch of psychology during the early modern period in which new references to taste, perfection, and harmony reinforced the emphasis on personal experience and judgement that was common to the natural and the human sciences of the period. During this period the debates in art theory centred on questions of the legitimacy of artistic innovations in style and genre, and were based on interpretations of the ancient texts of rhetoric and poetics. It discusses (...) the factors that contributed to the development of aesthetics, the question of aesthetics prior to the eighteenth century, and the post-Kantian distinction between the tasks of rhetoric and those of aesthetics. (shrink)

The need to find an intrinsic characterization of what makes a relation between events causal arises not only in local theories of causation like Salmon's process theory but also in global approaches like Lewis' counterfactual theory. According to the localist intuition, whether a process connecting two events is causal should depend only on what goes on between the events, not on conditions that hold elsewhere in the world. If such intrinsic characterizations could be found, an identification of the causal relation (...) in the actual world (though not in other possible worlds) with physical processes may be feasible (the a posteriori identification). I consider recent proposals made for intrinsic characterizations of causality and conclude that none of them is able to deliver the intended result. (shrink)

I try to identify the characteristic and distinguishing features of a theory of natural beauty (as opposed to the sublime) that can be found in Kant's Critique of Judgement. Lest this may seem superfluous, I argue first that, contrary to a common view, Kant's theory does not take the experience of beauty in nature as theoretically basic and that he does not deal with beauty in art only as a derivative case of aesthetic experience. I then try to understand what (...) it means to require, as Kant famously does, that beautiful nature has to look as if it were art. Does this commit him to a projectionist view, according to which we appreciate nature aesthetically only for what it really is not (namely art) rather than for what it is? Pursuing this question we find that for Kant nature can be the object of pure judgements of taste only insofar as nature can be explained scientifically, which in Kant's framework means purely mechanically. This ‘blind mechanism’ of nature plays an important role in Kant's explication of the moral significance the experience of beautiful nature has for us. (shrink)

Recent findings indicate that the constituting digits of multi-digit numbers are processed, decomposed into units, tens, and so on, rather than integrated into one entity. This is suggested by interfering effects of unit digit processing on two-digit number comparison. In the present study, we extended the computational model for two-digit number magnitude comparison of Moeller, Huber, Nuerk, and Willmes (2011a) to the case of three-digit number comparison (e.g., 371_826). In a second step, we evaluated how hundred-decade and hundred-unit compatibility effects (...) were moderated by varying the percentage of within-hundred (e.g., 539_582) and within-hundred-and-decade filler items (e.g., 483_489). From the results we predict that numerical distance as well as compatibility effects should indeed be modulated by the relevance of tens and units in three-digit number magnitude comparison: While in particular the hundred distance effect should decrease, we predict hundred-decade and hundred-unit compatibility effects to increase with the relevance of tens and units. (shrink)

Numerical magnitude information is assumed to be spatially represented in the form of a mental number line defined with respect to a body-centred, egocentric frame of reference. In this context, spatial language skills such as mastery of verbal descriptions of spatial position have been proposed to be relevant for grasping spatial relations between numerical magnitudes on the mental number line. We examined 4- to 5-year-old’s spatial language skills in tasks that allow responses in egocentric and allocentric frames of reference, as (...) well as their relative understanding of numerical magnitude. In addition, we evaluated influences of children’s absolute understanding of numerical magnitude assessed by their number word comprehension and of their knowledge on numerical sequences. Results indicated that when considering responses that corresponded to the egocentric perspective, children’s spatial language was associated significantly with their relative numerical magnitude understanding, even after controlling for covariates, such as children’s SES, mental rotation skills, and also absolute magnitude understanding or knowledge on numerical sequences. This suggests that the use of egocentric reference frames in spatial language may facilitate spatial representation of numbers along a mental number line and thus seem important for preschoolers’ relative understanding of numerical magnitude. (shrink)

In the Critique of Judgment Kant repeatedly points out that it is only the pleasure of taste that reveals to us the need to introduce a third faculty of the mind with its own a priori principle. In order to elucidate this claim I discuss two general principles about pleasure that Kant presents, the transcendental definition of pleasure from § 10 and the principle from the Introduction that connects pleasure with the achievement of an aim. Precursors of these principles had (...) been employed by Kant and others in empirical psychology. But how can such principles of empirical psychology be transferred to transcendental philosophy? I suggest that Kant accomplishes this by deriving the connection of pleasure with achievement of an aim from the transcendental definition and the assumption that faculties have interests. I finally reconstruct § 11 as a ‘regressive argument’ from the peculiarities of the pleasure of taste to the need to acknowledge a new faculty. (shrink)

Philosophers like Duhem and Cartwright have argued that there is a tension between laws' abilities to explain and to represent. Abstract laws exemplify the first quality, phenomenological laws the second. This view has both metaphysical and methodological aspects: the world is too complex to be represented by simple theories; supplementing simple theories to make them represent reality blocks their confirmation. We argue that both aspects are incompatible with recent developments in nonlinear dynamics. Confirmation procedures and modelling strategies in nonlinear dynamics (...) show that there are simple, abstract theories that can be confirmed without encountering the problems pointed to by Cartwright. (shrink)

How can it be rational to work on a new theory that does not yet meet the standards for good or acceptable theories? If diversity of approaches is a condition for scientific progress, how can a scientific community achieve such progress when each member does what it is rational to do, namely work on the best theory? These two methodological problems, the problem of pursuit and the problem of diversity, can be solved by taking into account the cognitive risk that (...) is involved in theory choice. I compare this solution to other proposals, in particular T. S. Kuhn's and P. Kitcher's view that the two problems demonstrate the epistemic significance of the scientific community. (shrink)

This article analyzes a type of experiment, very popular in 18th-century natural philosophy, which has apparently not led to insights into nature but which was aesthetically especially attractive. These experiments--"mimetic experiments"--allow us to trace a connection between aesthetic appreciation in science and in art contemporaneous with the science. I use this case as a problem for McAllister's theory of aesthetic induction according to which aesthetic standards in science tend to be associated with empirical success and propose an alternative mechanism that (...) is able to account for the natural philosophers' predilection for unsuccessful but beautiful experiments. (shrink)

Is there a problem of causal exclusion between micro- and macro-level physical properties? I argue (following Kim) that the sorts of properties that in fact are in competition are macro properties, viz., the property of a (macro-) system of 'having such-and-such macro properties' (call this a 'macro-structural property') and the property of the same system of 'being constituted by such-and-such a micro- structure' (call this a 'micro-structural property'). I show that there are cases where, for lack of reducibility, there is (...) a prima facie intra-level causal competition between the two kinds of properties. The problem can be resolved without giving up on the causal efficacy of the macro-structural properties if we understand instances of macro-structural properties to be parts of micro-structural property instances. The parthood relation between both kinds of property instances can be mapped onto the way physical theory deals with the relation of their descriptions in the framework of perturbation theory. The application of this framework to the problem of emergent properties is discussed. (shrink)

I discuss the prospects of perspectival realism for resolving the problem of incompatible models or theories in scientific practice. My diagnosis is that the perspectivist can secure the ‘realism’ in her position only by employing suitable relations between the models. It is such relations that do the work, not the general philosophical claim about the perspectival nature of knowledge claims. But appeal to such relations has also been the preferred strategy of scientific realist approaches to the problem. With respect to (...) the problem of incompatible models, then, it is not clear that perspectivism has a clear advantage—even though the issue was among the motivating problems for proposing this view. I suggest, however, that the required inter-model relations embody a narrower notion of perspective, a notion that is explicitly part of the models themselves and that is essential in maintaining a realist view. (shrink)

The paper argues that renormalization in quantum field theory was not a radically new - and possibly ad hoc - technique to save a badly flawed theory, but rather the culmination of a methodological strategy that physicists had been applying for a long time. The strategy was to obtain reliable results from unreliable theories by making the derivation of the results independent of possible future modifications of the theory. Examples of this practice include Bohr's use of the Correspondence Principle and (...) Heisenberg's S-matrix theory. (shrink)