Category theory has become central to certain aspects of theoretical physics. Bain has recently argued that this has significance for ontic structural realism. We argue against this claim. In so doing, we uncover two pervasive forms of category-theoretic generalization. We call these ‘generalization by duality’ and ‘generalization by categorifying physical processes’. We describe in detail how these arise, and explain their significance using detailed examples. We show that their significance is two-fold: the articulation of high-level physical concepts, (...) and the generation of new models. 1 Introduction2 Categories and Structuralism 2.1 Categories: abstract and concrete 2.2 Structuralism: simple and ontic3 Bain’s Two Strategies 3.1 A first strategy for defending Objectless 3.2 A second strategy for defending Objectless4 Two Forms of Categorical Generalization 4.1 Generalization by duality 4.2 Generalization by categorification 4.3 The role of category theory in physics5 Conclusion. (shrink)

A central question in cognitive research concerns how new properties are generalized to categories. This article introduces a model of how generalizations involve a process of causal inference in which people estimate the likely presence of the new property in individual category exemplars and then the prevalence of the property among all category members. Evidence in favor of this causal‐based generalization (CBG) view included effects of an existing feature’s base rate (Experiment 1), the direction of the causal relations (Experiments (...) 2 and 4), the number of those relations (Experiment 3), and the distribution of features among category members (Experiments 4 and 5). The results provided no support for an alternative view that generalizations are promoted by the centrality of the to‐be‐generalized feature. However, there was evidence that a minority of participants based their judgments on simpler associative reasoning processes. (shrink)

In order to be complete, Horwich’s minimalist theory must be able to deal with generalizations about truth. A logical and an epistemic-explanatory level of the generalization problem are distinguished, and Horwich’s responses to both sides of the problem are examined. Finally some persistent problems for minimalism are pointed out.

Inductive generalization, where people go beyond the data provided, is a basic cognitive capability, and it underpins theoretical accounts of learning, categorization, and decision making. To complete the inductive leap needed for generalization, people must make a key ‘‘sampling’’ assumption about how the available data were generated. Previous models have considered two extreme possibilities, known as strong and weak sampling. In strong sampling, data are assumed to have been deliberately generated as positive examples of a concept, whereas in (...) weak sampling, data are assumed to have been generated without any restrictions. We develop a more general account of sampling that allows for an intermediate mixture of these two extremes, and we test its usefulness. In two experiments, we show that most people complete simple one-dimensional generalization tasks in a way that is consistent with their believing in some mixture of strong and weak sampling, but that there are large individual differences in the relative emphasis different people give to each type of sampling. We also show experimentally that the relative emphasis of the mixture is influenced by the structure of the available information. We discuss the psychological meaning of mixing strong and weak sampling, and possible extensions of our modeling approach to richer problems of inductive generalization. (shrink)

For some time now, Jaegwon Kim has argued that irreducible mental properties face the threat of causal inefficacy. The primary weapon he deploys to sustain this charge is the supervenience/exclusion argument. This argument, in a nutshell, states that any mental property that irreducibly supervenes on a physical property is excluded from causal efficacy because the underlying physical property takes care of all of the causal work itself. Originally intended for mental properties alone, it did not take long for his critics (...) to suggest the argument generalizes across all of the special science properties as well. Kim responds in two different ways to the generalization problem. The first response, which I call the higher-level solution, is ably dismissed by numerous critics. The second response, which I call the identity solution, has not faced comparable scrutiny. In this paper I argue that the identity solution faces numerous problems of its own. (shrink)

Generalization from a case study is a perennial issue in the methodology of the social sciences. The case study is one of the most important research designs in many social scientific fields, but no shared understanding exists of the epistemic import of case studies. This article suggests that the idea of mechanism-based theorizing provides a fruitful basis for understanding how case studies contribute to a general understanding of social phenomena. This approach is illustrated with a re- construction of Espeland (...) and Sauder's case study of the effects of rankings on US legal education. On the basis of the reconstruction, it is argued that, at least with respect to sociology, the idea of mechanism-based theorizing captures many of the generalizable elements of case studies. (shrink)

In his essay “Pragmatism and Humanism,” William James recalls a friend’s disappointment that the “prodigious star-group” known as the Big Dipper “should remind us Americans of nothing but a culinary utensil.”1 Such, presumably, is the fault of generalization, though James himself is less than specific in illustrating the occasional parity of varied perspectives. For example, he posits two identical equilateral triangles, one inverted and overlapping the other, and notes, “You can treat the adjoined figure as a star, as two (...) big triangles crossing each other, as a hexagon with legs set up on its angles, as six equal triangles hanging together by their tips, etc.”. What he does not say is that the design.. (shrink)

The statistical structure of a class of objects such as human faces can be exploited to recognize familiar faces from novel viewpoints and under variable illumination conditions. We present computational and psychophysical data concerning the extent to which class-based learning transfers or generalizes within the class of faces. We rst examine the computational prerequisite for generalization across views of novel faces, namely, the similarity of di erent faces to each other. We next describe two computational models which exploit the (...) similarity structure of the class of faces. The performance of these models constrains hypotheses about the nature of face representation in human vision, and supports the notion that human face processing operates in a class-based fashion. Finally, we relate the computational data to well-established ndings in the human memory literature concerning the relationship between the typicality and recognizability of faces. (shrink)

An image of a face depends not only on its shape, but also on the viewpoint, illumination conditions, and facial expression. A face recognition system must overcome the changes in face appearance induced by these factors. This paper investigate two related questions: the capacity of the human visual system to generalize the recognition of faces to novel images, and the level at which this generalization occurs. We approach this problems by comparing the identi cation and generalization capacity for (...) upright and inverted faces. For upright faces, we found remarkably good generalization to novel conditions. For inverted faces, the generalization to novel views was signi cantly worse for both new illumination and viewpoint, although the performance on the training images was similar to the upright condition. Our results indicate that at least some of the processes that support generalization across viewpoint and illumination are neither universal (because subjects did not generalize as easily for inverted faces as for upright ones), nor strictly objectspeci c (because in upright faces nearly perfect generalization was possible from a single view, by itself insu cient for building a complete object-speci c model). We propose that generalization in face recognition occurs at an intermediate level that is applicable to a class of objects, and that at this level upright and inverted faces initially constitute distinct object classes. (shrink)

This article seeks to explore some issues regarding the different modes of generality at stake in the formation of transdisciplinary concepts within the production of ‘theory’ in the humanities and social sciences. Focused around Jacques Derrida’s seminal account of ‘writing’ in his 1967 book Of Grammatology, the article outlines what it defines as a logic of generalization at stake in Derrida’s elaborations of a quasi-transcendental ‘inscription in general’. Starting out from the questions thereby raised about the relationship between such (...) forms of generality and those historically ascribed to philosophy, the article concludes by contrasting Derrida’s generalized writing with more recent returns to ‘metaphysics’ in the work of Bruno Latour and others. Against the immediately ‘ontological’ orientation of much recent ‘new materialist’ or ‘object-oriented’ thought, the article argues for the necessity of ‘different levels of writing in general’ through a continual folding back of absolute generalization into historically specific disciplinary crossings and exchanges; something suggested by but never really developed in Derrida’s own work. (shrink)

It is a hallmark of a good model to make accurate a priori predictions to new conditions (Busemeyer & Wang, 2000). This study compared 8 decision learning models with respect to their generalizability. Participants performed 2 tasks (the Iowa Gambling Task and the Soochow Gambling Task), and each model made a priori predictions by estimating the parameters for each participant from 1 task and using those same parameters to predict on the other task. Three methods were used to evaluate the (...) models at the individual level of analysis. The first method used a post hoc fit criterion, the second method used a generalization criterion for short‐term predictions, and the third method again used a generalization criterion for long‐term predictions. The results suggest that the models with the prospect utility function can make generalizable predictions to new conditions, and different learning models are needed for making short‐versus long‐term predictions on simple gambling tasks. (shrink)

According to the simple proposal, a predicate is rigid iff it signifies the same property across the different possible worlds. The simple proposal has been claimed to suffer from an over-generalization problem. Assume that one can make sense of predicates signifying properties, and assume that trivialization concerns, to the effect that the notion would cover any predicate whatsoever, can be overcome. Still, the proposal would over-generalize, the worry has it, by covering predicates for artifactual, social, or evaluative properties, such (...) as 'is a knife,' 'is a bachelor,' or 'is funny.' In defense, it is argued that rigidity for predicates as characterized plays the appropriate theoretical role, and that the contention that "unnatural" properties are not to be rigidly signified is ungrounded. (shrink)

Écriture sans écriture, critique sans discours : il s’agit de traquer et de faire ressortir l’obsession du « projet » et de son idéologie dans la trame d’un appel à contrats doctoraux. Ctrl+B chaque fois (et elles sont très nombreuses) où le petit mot est réitéré.