The approximate number system (ANS) enables organisms to represent the approximate number of items in an observed collection, quickly and independently of natural language. Recently, it has been proposed that the ANS goes beyond representing natural numbers by extracting and representing rational numbers (Clarke & Beck, 2021a). Prior work demonstrates that adults and children discriminate ratios in an approximate and ratio-dependent manner, consistent with the hallmarks of the ANS. Here, we use a well-known “connectedness illusion” to provide evidence that these (...) ratio-dependent ratio discriminations are (a) based on the perceived number of items in seen displays (and not just non-numerical confounds), (b) are not dependent on verbal working memory, or explicit counting routines, and (c) involve representations with a part-whole (or subset-superset) format, like a fraction, rather than a part-part format, like a ratio. These results vindicate key predictions of the hypothesis that the ANS represents rational numbers. (shrink)

This dazzlingly original and ambitious book challenges the epistemological and metaphysical preconceptions of contemporary philosophers on many fronts, and prop.

Some have defended a Fregean view of perceptual content. On this view, the constituents of perceptual contents are Fregean modes of presentation (MOPs). In this paper, I propose that perceptual MOPs are best understood in terms of object files. Object files are episodic representations that store perceptual information about objects. This information is updated when sensory conditions change. On the proposed view, when a subject perceptually represents some object a under two distinct MOPs, then the subject initiates two object files (...) that both refer to a. My defense of this view appeals to its satisfaction of four constraints that I argue theories of perceptual MOPs should satisfy. Furthermore, I show that some existent accounts of perceptual MOPs fail to satisfy them. The defended constraints also indicate what is unique about perceptual, as opposed to linguistic or cognitive, MOPs. (shrink)

Philosophers of perception often claim that usual perceptual experiences not only present particulars but also phenomenally present them as particulars. Nevertheless, despite the initial plausibility of this thesis, it is not clear what exactly it means to say that particularity is phenomenally presented. The paper aims to provide a deeper analysis of the claim that perceptual experiences phenomenally present objects as particulars. In doing so, I distinguish two theses regarding phenomenally presented particularity: Generic Particularity and Specific Particularity. According to the (...) first thesis, vision phenomenally presents particularity of objects, understood as a general characteristic that may be shared by many entities. The second thesis states that vision phenomenally presents particularity of objects, understood as an individual characteristic unique to each particular. I argue that, relying on knowledge concerning the functioning of perceptual mechanisms, vision does not phenomenally present generic particularity but it has certain abilities for presenting specific particularity. (shrink)

In our target article, we argued that the number sense represents natural and rational numbers. Here, we respond to the 26 commentaries we received, highlighting new directions for empirical and theoretical research. We discuss two background assumptions, arguments against the number sense, whether the approximate number system represents numbers or numerosities, and why the ANS represents rational numbers.

According to a traditional picture, perception and belief have starkly different epistemic roles. Beliefs have epistemic statuses as justified or unjustified, depending on how they are formed and maintained. In contrast, perceptions are “unjustified justifiers.” Core cognition is a set of mental systems that stand at the border of perception and belief, and has been extensively studied in developmental psychology. Core cognition's borderline states do not fit neatly into the traditional epistemic picture. What is the epistemic role of these states? (...) Focusing on the core object system, the author argues that core object representations have epistemic statuses like beliefs do, despite their many prototypically perceptual features. First, the author argues that it is a sufficient condition on a mental state's having an epistemic status as justified or unjustified that the state is based on reasons. Then the author argues that core object representations are based on reasons, through an examination of both experimental results and key markers of the basing relation. The scope of mental states that are subject to epistemic evaluation as justified or unjustified is not restricted to beliefs. (shrink)

Objects are central in visual, auditory, and tactual perception. But what counts as a perceptual object? I address this question via a structural unity schema, which specifies how a collection of parts must be arranged to compose an object for perception. On the theory I propose, perceptual objects are composed of parts that participate in causally sustained regularities. I argue that this theory falls out of a compelling account of the function of object perception, and illustrate its applications to multisensory (...) perception. I also argue that the account avoids problems faced by standard views of visual and auditory objects. (shrink)

We think of the world around us as divided into physical objects like toasters and daisies, rather than solely as a smear of properties like yellow and smooth. How do we single out these objects? One theory of object concepts uses part‐of relations and relations of connectedness. According to this proposal, an object is a connected spatial item of maximal extent: Any other connected item that overlaps (i.e., shares a part with) the object must be a part of that object. (...) This article reports four experiments that test this proposal. Participants see descriptions or diagrams of spatial items that vary across trials in their relative positions. In separate experiments, participants decide whether the items are physical objects, whether they are wholes, or how many objects are present. All experiments find support for connectedness as a contributor to object status, but they find little support for maximality. The results suggest that maximality is not a necessary feature of wholes or of objects. (shrink)