Rumelhart and McClelland's chapter about learning the past tense created a degree of controversy extraordinary even in the adversarial culture of modern science. It also stimulated a vast amount of research that advanced the understanding of the past tense, inflectional morphology in English and other languages, the nature of linguistic representations, relations between language and other phenomena such as reading and object recognition, the properties of artificial neural networks, and other topics. We examine the impact of the Rumelhart and McClelland (...) model with the benefit of 25 years of hindsight. It is not clear who “won” the debate. It is clear, however, that the core ideas that the model instantiated have been assimilated into many areas in the study of language, changing the focus of research from abstract characterizations of linguistic competence to an emphasis on the role of the statistical structure of language in acquisition and processing. (shrink)

Inflectional morphology has been taken as a paradigmatic example of rule-governed grammatical knowledge (Pinker, 1999). The plausibility of this claim may be related to the fact that it is mainly based on studies of English, which has a very simple inflectional system. We examined the representation of inflectional morphology in Serbian, which encodes number, gender, and case for nouns. Linguists standardly characterize this system as a complex set of rules, with disagreements about their exact form. We present analyses of a (...) large corpus of nouns which showed that, as in English, Serbian inflectional morphology is quasiregular: It exhibits numerous partial regularities creating neighborhoods that vary in size and consistency. We then asked whether a simple connectionist network could encode this statistical information in a manner that also supported generalization. A network trained on 3,244 Serbian nouns learned to produce correctly inflected phonological forms from a specification of a word's lemma, gender, number, and case, and generalized to untrained cases. The model's performance was sensitive to variables that also influence human performance, including surface and lemma frequency. It was also influenced by inflectional neighborhood size, a novel measure of the consistency of meaning to form mapping. A word-naming experiment with native Serbian speakers showed that this measure also affects human performance. The results suggest that, as in English, generating correctly inflected forms involves satisfying a small number of simultaneous probabilistic constraints relating form and meaning. Thus, common computational mechanisms may govern the representation and use of inflectional information across typologically diverse languages. (shrink)

Languages and writing systems result from satisfying multiple constraints related to learning, comprehension, production, and their biological bases. Orthographies are not optimal because these constraints often conflict, with further deviations due to accidents of history and geography. Things tend to even out because writing systems and the languages they represent exhibit systematic trade-offs between orthographic depth and morphological complexity.

We distinguish between literal and metaphorical applications of Bayesian models. When intended literally, an isomorphism exists between the elements of representation assumed by the rational analysis and the mechanism that implements the computation. Thus, observation of the implementation can externally validate assumptions underlying the rational analysis. In other applications, no such isomorphism exists, so it is not clear how the assumptions that allow a Bayesian model to fit data can be independently validated.

Let us begin with the simple observation that applied mathematics can be very tough! It is a common occurrence that basic physical principle instructs us to construct some syntactically simple set of differential equations, but it then proves almost impossible to extract salient information from them. As Charles Peirce once remarked, you can’t get a set of such equations to divulge their secrets by simply tilting at them like Don Quixote. As a consequence, applied mathematicians are often forced to pursue (...) roundabout and shakily rationalized expedients if any useful progress is to be made. Often these provisional and quasi-empirical procedures within applied mathematics loom large in motivating the “anti-realist” or “anti-unificationist” conclusions of Nancy Cartwright and allied authors. (shrink)

This is one of those cases to which Dr. 8 oodhouse's remark applies with all its force, that a method which leads to true results must have its logic — H.S Smith (" On Some of the Methods at Present in Use in Pure Geometry," p. 6) A goodly amount of modern metaphysics has concerned itself, in one form or another, with the question: what attitude should we take in regard to a language whose semantic underpinnings seem less than certain? (...) Since much of standard English is surely of this type, many philosophers have felt driven to extreme and unpalatable resolutions — wholesale rejection of attractive logical rules, radical "antirealism", "minimalism" about truth, and so forth, Scientists, however, have long dealt with analogous foundational insecurities and, under the duress of practicality, have framed a set of shifting attitudes towards language and reasoning that seem far more commonsensical than the extreme positions to which pure philosophy has often been led. Following this lead, this essay will recommend a more nuanced approach to linguistic insecurity that is neither naively optimistic nor mired in the gloomy sloughs of antirealism. (shrink)

On the basis of careful textual exegesis and philosophical analysis, and contrary to the received view, Mark R. Wheeler demonstrates that Aristotle presents and systematically explicates his definition of the essence of the truth in the Metaphysics. Aristotle states the nominal definitions of the terms "truth" and "falsehood" as part of his arguments in defense of the logical axioms. These nominal definitions express conceptions of truth and falsehood his philosophical opponents would have recognized and accepted in the context of (...) dialectical argument. On the basis of these nominal definitions, Aristotle develops his definitions of the essences of truth and falsehood--his "real" definitions of truth and falsehood. Aristotle's methodical exposition of his essential definitions of truth and falsehood in the Metaphysics serves as a well-developed example of how his philosophical inquiry starts with nominal definitions and ends with real definitions. Wheeler also argues for the novel claim that Aristotle defines the most fundamental kind of truth in terms of accurate measurement. Aristotle's metrical conception of truth serves as the theoretical basis for specifying the truth conditions of various assertions, for identifying the sorts of beings implicated in these truth conditions, and for explaining the nature of approximate truth and falsehood. Far from offering us a minimal account of truth, Wheeler shows how Aristotle offers us a sophisticated and metrical theory of truth. (shrink)

There is considerable likelihood that Gottlob Frege began writing his Foundations of Arithmetic with the expectation that he could introduce his numbers, not with sets, but through some algebraic techniques borrowed from earlier writers of the Gottingen school. These rewriting techniques, had they worked, would have required strong philosophical justification provided by Frege's celebrated "context principle," which otherwise serves little evident purpose in the published Foundations.

The ability to engage in reflexive thought—in thought about thought or about other mental states more generally—is regarded as a complex intellectual achievement that is beyond the capacities of most nonhuman animals. To the extent that reflexive thought capacities are believed necessary for the possession of many other psychological states or capacities, including consciousness, belief, emotion, and empathy, the inability of animals to engage in reflexive thought calls into question their other psychological abilities. This chapter attacks the idea that reflexive (...) thought is required in this pervasive way and holds that supposing that it is derives from a tendency among philosophers and scientists toward overcomplication. Against this tendency, it recommends an aponoian framework, from apó, “away from” and noûs, “intelligence” or “thought,” arguing that seemingly complex psychological abilities are often not as complex as they seem, and do not require the ability to engage in reflexive thought. (shrink)

Philosophers have come to distinguish between ‘right’ and ‘wrong’ kinds of reasons for belief, intention, and other attitudes. Several theories about the nature of this distinction have been offered, by far the most prevalent of which is the idea that it is, at bottom, the distinction between what are known as ‘object-given’ and ‘state-given’ reasons. This paper argues that the object-given/state-given theory vastly overgeneralizes on a small set of data points, and in particular that any adequate account of the distinction (...) between the ‘right’ and ‘wrong’ kinds of reason must allow state-given reasons to be of the right kind. The paper has three main goals, corresponding to its three main parts. In part 1 I set up the problem by introducing the right-kind/wrong-kind distinction, the object-given/state-given distinction, and the object-given/state-given theory, according to which the former distinction simply amounts to the latter. Part 2 presents the main argument of the paper: I argue against the object-given/state-given theory by showing that all of the earmarks of the ‘right’ and ‘wrong’ kinds of reason apply to reasons not to intend and not to believe, but that these cases can’t be captured by the object-given/state-given theory. Finally, in part 3 I use these arguments to motivate and explore a more general hypothesis about the rightkind/wrong-kind distinction, and explore some of the consequences of rejecting the object-given/stategiven theory. (shrink)

Several authors have recently endorsed the thesis that there is what has been called pragmatic encroachment on knowledge—in other words, that two people who are in the same situation with respect to truth-related factors may differ in whether they know something, due to a difference in their practical circumstances. This paper aims not to defend this thesis, but to explore how it could be true. What I aim to do, is to show how practical factors could play a role in (...) defeating knowledge by defeating epistemic rationality—the very kind of rationality that is entailed by knowledge, and in which Pascalian considerations do not play any role—even though epistemic rationality consists in having adequate evidence. (shrink)

It is time to bring the rich resources of these traditions into the contemporary debate about the nature of self. This volume is the first of its kind.

Intentions matter. They have some kind of normative impact on our agency. Something goes wrong when an agent intends some end and fails to carry out the means she believes to be necessary for it, and something goes right when, intending the end, she adopts the means she thinks are required. This has even been claimed to be one of the only uncontroversial truths in ethical theory. But not only is there widespread disagreement about why this is so, there is (...) widespread disagreement about in what sense it is so. In this paper I explore an underdeveloped answer to the question of in what sense it is so, and argue that resolving an apparent difficulty with this view leads to an attractive picture about why it is so. (shrink)