It has been argued that numbers are spatially organized along a "mental number line" that facilitates left-hand responses to small numbers, and right-hand responses to large numbers. We hypothesized that whenever the representations of visual and numerical space are concurrently activated, interactions can occur between them, before response selection. A spatial prime is processed faster than a numerical target, and consistent with our hypothesis, we found that such a spatial prime affects non-spatial, verbal responses more when the prime follows a (...) numerical target (backward priming) then when it precedes it (forward priming). This finding emerged both in a number-comparison and a parity judgment task, and cannot be ascribed to a "Spatial-Numerical Association of Response Codes" (SNARC). Contrary to some earlier claims, we therefore conclude that visuospatial-numerical interactions do occur, even before response selection. (shrink)

Learning the structure of event sequences is a ubiquitous problem in cognition and particularly in language. One possible solution is to learn a probabilistic generative model of sequences that allows making predictions about upcoming events. Though appealing from a neurobiological standpoint, this approach is typically not pursued in connectionist modeling. Here, we investigated a sequential version of the restricted Boltzmann machine, a stochastic recurrent neural network that extracts high-order structure from sensory data through unsupervised generative learning and can encode contextual (...) information in the form of internal, distributed representations. We assessed whether this type of network can extract the orthographic structure of English monosyllables by learning a generative model of the letter sequences forming a word training corpus. We show that the network learned an accurate probabilistic model of English graphotactics, which can be used to make predictions about the letter following a given context as well as to autonomously generate high-quality pseudowords. The model was compared to an extended version of simple recurrent networks, augmented with a stochastic process that allows autonomous generation of sequences, and to non-connectionist probabilistic models. We conclude that sequential RBMs and stochastic simple recurrent networks are promising candidates for modeling cognition in the temporal domain. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Reconstructing Pragmatism: Richard Rorty and the Classical Pragmatists by Chris VoparilRichard Kenneth AtkinsChris Voparil. Reconstructing Pragmatism: Richard Rorty and the Classical Pragmatists. Oxford: Oxford University Press, 2022. Pp. xiv + 377. Hardback, $74.00.A house divided cannot stand, or so Jesus tells us. As far as I can ascertain, Jesus was right about many things (his followers perhaps less so). Accordingly, that the house early pragmatists built, with all (...) of its subsequent divisions and internecine controversies, still stands is something of an anomaly. Perhaps it is explained by the fact that pragmatists have also been blessed by peacemakers, among whom Chris Voparil is to be numbered. In this carefully researched and clearly written book, Voparil examines the ties that bind Richard Rorty to his pragmatist predecessors: C. S. Peirce, William James, John Dewey, Josiah Royce, and Jane Addams. The hope animating Voparil's book is that with a closer look at these ties he "can unsettle the current map of opposing pragmatist camps by uncovering previously obscured or overlooked alignments and common aims" (259). He argues that Rorty did not misunderstand his predecessors but "consciously radicalized" (280) their positions.The book is five chapters long, with each of the chapters devoted to Rorty's relationship to one of the five aforementioned classical pragmatists, in that order. There are also substantial introductory and concluding chapters. The more controversy-laden chapters are the first (on Peirce) and third (on Dewey). As Voparil explains in chapter 1, Peirceans are wary of Rorty's apparent antirealism. But to soothe the worries of wary Peirceans, Voparil argues that commitments to realism can be found in Rorty's early and later works and that some of the more outrageous statements from the middle period are exaggerations that are ultimately qualified, if not disavowed. The Peirce scholar may wish that Voparil had done more to distinguish different varieties of realism found in Peirce's writings, as Robert Lane has done in his recent Peirce on Realism and Idealism (Cambridge: Cambridge University Press, 2018), but the crux of Voparil's argument is persuasive enough. Rorty did not deny that there is a world that affects us and that there is such a thing as "getting it right," even if he thought that varieties of representationalism about mental states and the correspondence theory of truth are not topics worthy of further discussion. Voparil does not [End Page 530] cite the footnote, but Rorty states the matter sufficiently clearly when he writes, "I think that [Nelson] Goodman's trope of 'many worlds' is misleading and that we need not go beyond the more straightforward 'many descriptions of the same world' (provided one does not ask 'And what world is that?'). But his point that there is no way to compare descriptions of the world in respect of adequacy seems to me crucial, and in the first two chapters of this book [Ways of Worldmaking] he makes it very vividly" (Consequences of Pragmatism [Minneapolis: University of Minnesota Press, 1982], xlvii). Rorty's point is that talk of "the world" can play no interesting explanatory role in our accounts of truth, representation, and the like just because we cannot now (or at any given future time) claim to have the final vocabulary to talk about the world. There is an interesting parallelism to Peirce's theory of induction here that Voparil does not explore. On Peirce's theory of statistical induction, we cannot claim at any given time that we have ascertained the real frequencies in nature, but we can be assured that in the long run we will eventually approximate them. Similarly, for Rorty, we cannot claim at any given time that we have the final vocabulary for describing the world, but that does not prohibit us from claiming that we can improve our descriptions of the world, where improvement is relative to some purpose. As Rorty concedes, the descriptions of nature that emerge in the modern period are better descriptions than those of the Aristotelian physics, given various purposes that we have (Consequences of Pragmatism, 191).Turning to chapter 3, Rorty's misappropriations and misrepresentations of Dewey's views have peeved Dewey scholars. In particular, Rorty... (shrink)

Faruqi's book is more about Christian dogmatics than about ethics. Its interest stems from the fact that the author is a Muslim who knows recent Protestant thought well and is not afraid to call Karl Barth a bigot. After an interesting but unrelated introduction on methodology in the history of religions, the author settles down to some pet Muslim peeves concerning the doctrines of original sin and the divinity of Christ. Instead of the Jesus of history he presents us with (...) the Koranic Jesus, the universalizing reformer whose mission was to undo Jewish, racialist separatism. Faruqi's Sufi sympathies blind him to the real problems of historical, biblical criticism and his moralistic rationalism allows no place for significant differences amongst men in the coming great brotherhood. For him, Jesus' achievement was to develop an ethic of intent against pharisaic legalism. But this ethic needs to be supplemented by the Muslim emphasis on performance if it is to be transposed from the realm of ideals to the realities of contemporary political life. Considering the history of Christian interpretations of Islam, Faruqi is entitled to retaliate--and so he does, in an overburdened series of footnotes. He is much more tolerant of Arab expansionism than of Western imperialism, and completely insensitive to the psychological power of Judaism. Too often he substitutes derogatory labeling for constructive criticism and so fails to illumine the concepts of love, power, and justice on which any religious ethic must depend. Even so, his scholarly achievement is remarkable, and one learns more from his misunderstanding than from most of the religious apologetics being published today.--C. P. S. (shrink)