Dan Dennett and Jerry Fodor have recently offered diametrically opposed estimations of the relevance of the theory of natural selection to an adequate theory of intentionality. In this paper, I show, first, how this opposition can be traced largely to differences both in their respective understandings of what the theory of natural selection includes, and in their respective ‘pre-theoretic’ takes on the datum to be explained by a theory of intentionality. These differences, in turn, have been ‘pre-selected’ by contrasting outlooks (...) on the general nature of the explanatory enterprise. While no final adjudication of these large issues is attempted, I argue, second, that it is important to distinguish two rather different questions about the relevance of natural selection to the nature of intentionality, and that, having done so, one can see that, from standpoints purely internal to their respective projects, Dennett and Fodor each in his own way misconstrues the relevance of natural selection. (shrink)

Dan Dennett and Jerry Fodor have recently offered diametrically opposed estimations of the relevance of the theory of natural selection to an adequate theory of intentionality. In this paper, I show, first, how this opposition can be traced largely to differences both in their respective understandings of what the theory of natural selection includes, and in their respective ‘pre-theoretic’ takes on the datum to be explained by a theory of intentionality. These differences, in turn, have been ‘pre-selected’ by contrasting outlooks (...) on the general nature of the explanatory enterprise. While no final adjudication of these large issues is attempted, I argue, second, that it is important to distinguish two rather different questions about the relevance of natural selection to the nature of intentionality, and that, having done so, one can see that, from standpoints purely internal to their respective projects, Dennett and Fodor each in his own way misconstrues the relevance of natural selection. (shrink)

Can we succeed in giving consciousness a naturalistic explanation, that is, an explanation in “broadly physical terms”? This is the “problem of consciousness” which, along with other aspects of the mind-body problem, is explored by McGinn in a collection of eight independently written but related, sometimes overlapping papers, all but two previously published. The papers span a decade and divergent approaches. The resulting juxtaposition of two contrasting “resolutions” of the problem by the same author invites their comparison.

Knowing is something that we do not have much of a theory about., p. 365.)Interest has recently been shown in causal theories of perception, memory, inference, reference, truth, justification and belief, as well as in a more general “causal theory of knowledge” which would embrace and connect all of these concepts within a broad epistemological framework. The burden of this paper is that prospects are poor for an interesting and general enough causal theory of knowledge. A threat to generality arises (...) from the causal theory's difficulties with knowledge of general truths. A threat to interest arises when attempts to accommodate general truths lead to a weakening of the notion of “causal connection” appealed to, making dubious the explanatory force of such an appeal. (shrink)

This volume contains ten new essays on a priori knowledge by authors from Canada, the United States, Australia, & Europe Topics addressed include the nature, explanation, & indispensability of a priori knowledge, its connection with analytic truth, its place in mathematics, in logic, & in empirical theory, & the contribution of Kant & Quine to these topics. The focus is on twentieth-century contributions to these issues, but most essays also address earlier discussions at some length, & the essays that focus (...) on Kant also relate his views to more recent discussions. Contents: Introduction. A Rationalist Manifesto. Analyticity, Undeniability, & Truth. Analyticity & the A Priori. The Doubtful A Priori. Some Remarks on Indiscernibility. The Constitutive A Priori. Kant's A Priori Methods for Recognising Necessary Truths. EPR as A Priori Science. Gaps, Gluts, & Paradox. An Essay on Material Necessity. (shrink)

Psychologism in logic is the doctrine that the semantic content of logical terms is in some way a feature of human psychology. We consider the historically influential version of the doctrine, Psychological Individualism, and the many counter-arguments to it. We then propose and assess various modifications to the doctrine that might allow it to avoid the classical objections. We call these Psychological Descriptivism, Teleological Cognitive Architecture, and Ideal Cognizers. These characterizations give some order to the wide range of modern views (...) that are seen as psychologistic because of one or another feature. Although these can avoid some of the classic objections to psychologism, some still hold. (shrink)

Generic language (e.g., “tigers have stripes”) leads children to assume that the referenced category (e.g., tigers) is inductively informative and provides a causal explanation for the behavior of individual members. In two preregistered studies with 4- to 7-year-old children (N = 497), we considered the mechanisms underlying these effects by testing how correcting generics might affect the development of these beliefs about novel social and animal kinds (Study 1) and about gender (Study 2). Correcting generics by narrowing their scope to (...) a single individual limited beliefs that the referenced categories could explain what their members would be like while broadening the scope to a superordinate category (Study 2) uniquely limited endorsement of gender norms. Across both studies, correcting generics did not alter beliefs about feature heritability and had mixed effects on inductive inferences, suggesting that additional mechanisms (e.g., causal reasoning about shared features) contribute to the development of full-blown essentialist beliefs. These results help illuminate the mechanisms by which generics lead children to view categories as having rich inductive and causal potential; in particular, they suggest that children interpret generics as signals that speakers in their community view the referenced categories as meaningful kinds that support generalization. The findings also point the way to concrete suggestions for how adults can effectively correct problematic generics (e.g., gender stereotypes) that children may hear in daily life. (shrink)

The Halpern–Läuchli theorem, a combinatorial result about trees, admits an elegant proof due to Harrington using ideas from forcing. In an attempt to distill the combinatorial essence of this proof, we isolate various partition principles about products of perfect Polish spaces. These principles yield straightforward proofs of the Halpern–Läuchli theorem, and the same forcing from Harrington’s proof can force their consistency. We also show that these principles are not ZFC theorems by showing that they put lower bounds on the size (...) of the continuum. (shrink)

We have been discussing some of the fundamental features of the classical calculus of probability. The equiprobability of rival events was seen to be a major assumption of the calculus. Moreover, it is an assumption which the pure mathematician need not bother to justify. He need only present his formal system as follows.

The current studies (N = 255, children ages 4–5 and adults) explore patterns of age‐related continuity and change in conceptual representations of social role categories (e.g., “scientist”). In Study 1, young children's judgments of category membership were shaped by both category labels and category‐normative traits, and the two were dissociable, indicating that even young children's conceptual representations for some social categories have a “dual character.” In Study 2, when labels and traits were contrasted, adults and children based their category‐based induction (...) decisions on category‐normative traits rather than labels. Study 3 confirmed that children reason based on category‐normative traits because they view them as an obligatory part of category membership. In contrast, adults in this study viewed the category‐normative traits as informative on their own (not only as a cue to obligations). Implications for continuity and change in representations of social role categories will be discussed. (shrink)

Motivated by a characterization of weakly compact cardinals due to Todorcevic, we introduce a new cardinal characteristic, the C-sequence number, which can be seen as a measure of the compactness of a regular uncountable cardinal. We prove a number of ZFC and independence results about the C-sequence number and its relationship with large cardinals, stationary reflection, and square principles. We then introduce and study the more general C-sequence spectrum and uncover some tight connections between the C-sequence spectrum and the strong (...) coloring principle U(. . .), introduced in Part I of this series. (shrink)

We investigate questions involving Aronszajn trees, square principles, and stationary reflection. We first consider two strengthenings of introduced by Brodsky and Rinot for the purpose of constructing κ‐Souslin trees. Answering a question of Rinot, we prove that the weaker of these strengthenings is compatible with stationary reflection at κ but the stronger is not. We then prove that, if μ is a singular cardinal, implies the existence of a special ‐tree with a cf(μ)‐ascent path, thus answering a question of Lücke.

Viale introduced covering matrices in his proof that SCH follows from PFA. In the course of the proof and subsequent work with Sharon, he isolated two reflection principles, CP and S, which, under certain circumstances, are satisfied by all covering matrices of a certain shape. Using square sequences, we construct covering matrices for which CP and S fail. This leads naturally to an investigation of square principles intermediate between □κ and □ for a regular cardinal κ. We provide a detailed (...) picture of the implications between these square principles. (shrink)

We continue our study of strongly unbounded colorings, this time focusing on subadditive maps. In Part I of this series, we showed that, for many pairs of infinite cardinals $\theta < \kappa $, the existence of a strongly unbounded coloring $c:[\kappa ]^2 \rightarrow \theta $ is a theorem of $\textsf{ZFC}$. Adding the requirement of subadditivity to a strongly unbounded coloring is a significant strengthening, though, and here we see that in many cases the existence of a subadditive strongly unbounded coloring (...) $c:[\kappa ]^2 \rightarrow \theta $ is independent of $\textsf{ZFC}$. We connect the existence of subadditive strongly unbounded colorings with a number of other infinitary combinatorial principles, including the narrow system property, the existence of $\kappa $ -Aronszajn trees with ascent paths, and square principles. In particular, we show that the existence of a closed, subadditive, strongly unbounded coloring $c:[\kappa ]^2 \rightarrow \theta $ is equivalent to a certain weak indexed square principle $\boxminus ^{\operatorname {\mathrm {ind}}}(\kappa, \theta )$. We conclude the paper with an application to the failure of the infinite productivity of $\kappa $ -stationarily layered posets, answering a question of Cox. (shrink)

[Anne:] “I can't, I'm in the depths of despair. Can you eat when you are in the depths of despair?”“I've never been in the depths of despair, so I can't say,” said Marilla.“Weren't you? Well did you ever try to imagine you were in the depths of despair?”” No, I didn't.”“Then I don't think you can understand what it's like. It's a very uncomfortable feeling indeed. When you try to eat a lump comes right up in your throat and you (...) can't swallow anything, not even if it was a chocolate caramel.”—L.M. Montgomery, Anne of Green Gables.Emotion, as a “suprarational” property, transcends rationality in that it can be thought of as a group, contextual rather than as a solely individual trait, and thus is a higher order property, as the above quote suggests. This proposal arises from a metatheoretical analysis of models available to broach questions of emotion. I use metatheoretical in the sense of both the context of theory production and the theory of theory. From the first arose the idea that emotion, through the use of irrationality, has surfaced as a working equivalent to inexplicability or rational relativity, and can be modelled more adequately as suprarational, with a unique nature in its own right. The latter led me to propose that the concept of emotion as contextual, a higher order group level property, is possible and tentatively profitable. (shrink)

How do people gather samples of evidence to learn about the world? Adults often prefer to sample evidence from diverse sources—for example, choosing to test a robin and a turkey to find out if something is true of birds in general. Children below age 9, however, often do not consider sample diversity, instead treating non‐diverse samples (e.g., two robins) and diverse samples as equivalently informative. The current study (N = 247) found that this discontinuity stems from developmental changes in standards (...) for evaluating evidence—younger children chose to learn from samples that best approximate idealized views of what category members are supposed to be like (e.g., the fastest cheetahs), with a gradual shift across age toward samples that cover more within‐category variation (e.g., cheetahs of varying speeds). These findings have implications for the relation between conceptual structure and inductive reasoning, and for the mechanisms underlying inductive reasoning more generally. (shrink)

Presents general information about meteorology, weather, and climate and includes more than thirty activities to help study these topics, including making a ...