Mental capacities for perceiving, remembering, thinking, and planning involve the processing of structured mental representations. A compositional semantics of such representations would explain how the content of any given representation is determined by the contents of its constituents and their mode of combination. While many have argued that semantic theories of mental representations would have broad value for understanding the mind, there have been few attempts to develop such theories in a systematic and empirically constrained way. This paper contributes to (...) that end by developing a semantics for a ‘fragment’ of our mental representational system: the visual system’s representations of the bounding contours of objects. At least three distinct kinds of composition are involved in such representations: ‘concatenation’, ‘feature composition’, and ‘contour composition’. I sketch the constraints on and semantics of each of these. This account has three principal payoffs. First, it models a working framework for compositionally ascribing structure and content to perceptual representations, while highlighting core kinds of evidence that bear on such ascriptions. Second, it shows how a compositional semantics of perception can be compatible with holistic, or Gestalt, phenomena, which are often taken to show that the whole percept is ‘other than the sum of its parts’. Finally, the account illuminates the format of a key type of perceptual representation, bringing out the ways in which contour representations exhibit domain-specific form of the sort that is typical of structured icons such as diagrams and maps, in contrast to typical discursive representations of logic and language. (shrink)

Two studies investigated the interaction between utterance and scene processing by monitoring eye movements in agent–action–patient events, while participants listened to related utterances. The aim of Experiment 1 was to determine if and when depicted events are used for thematic role assignment and structural disambiguation of temporarily ambiguous English sentences. Shortly after the verb identified relevant depicted actions, eye movements in the event scenes revealed disambiguation. Experiment 2 investigated the relative importance of linguistic/world knowledge and scene information. When the verb (...) identified either only the stereotypical agent of a (nondepicted) action, or the (nonstereotypical) agent of a depicted action as relevant, verb‐based thematic knowledge and depicted action each rapidly influenced comprehension. In contrast, when the verb identified both of these agents as relevant, the gaze pattern suggested a preferred reliance of comprehension on depicted events over stereotypical thematic knowledge for thematic interpretation. We relate our findings to language comprehension and acquisition theories. (shrink)

The use of figurate numbers (e. g. in the context of elementary number theory) can be considered a heuristic in the field of problem solving or proving. In this paper, we want to discuss this heuristic from the perspectives of the semiotic theory of Peirce (“diagrammatic reasoning” and “collateral knowledge”) and cognitive psychology (“schema theory” and “Gestalt psychology”). We will make use of several results taken from our research to illustrate first-year students’ problems when dealing with figurate numbers in the (...) context of proving. The considerations taken from both theoretical perspectives will help to partly explain such phenomena. It will be shown that the use of figurate numbers must not be considered to be any kind of help for learners or some way of ‘easy’ mathematics. Working in this representational system has to be learned and practiced as another kind of knowledge is necessary for working with figurate numbers. The named findings also touch upon the concept of ‘proofs that explain’. Finally, we will highlight some implications for teaching and point to a number of demands for future research. (shrink)

This paper aims to clarify Merleau-Ponty’s contribution to an embodied-enactive account of mathematical cognition. I first identify the main points of interest in the current discussions of embodied higher cognition and explain how they relate to Merleau-Ponty and his sources, in particular Husserl’s late works. Subsequently, I explain these convergences in greater detail by more specifically discussing the domains of geometry and algebra and by clarifying the role of gestalt psychology in Merleau-Ponty’s account. Beyond that, I explain how, for Merleau-Ponty, (...) mathematical cognition requires not only the presence and actual manipulation of some concrete perceptible symbols but, more strongly, how it is fundamentally linked to the structural transformation of the concrete configurations of symbolic systems to which these symbols appertain. Furthemore, I fill a gap in the literature by explaining Merleau-Ponty’s claim that these structural transformations are operated through motor intentionality. This makes it possible, in turn, to contrast Merleau-Ponty’s approach to ontologically idealistic and realistic views on mathematical objects. On Merleau-Ponty’s account, mathematical objects are relational entities, that is, gestalts that necessarily imply situated cognizers to whom they afford a specific type of engagement in the world and on whom they depend in their eventual structural transformations. I argue that, by attributing a strongly constitutive role to phenomenal configurations and their motor transformation in mathematical thinking, Merleau-Ponty contributes to clarifying the worldly, historical, and socio-cultural aspects of mathematical truths without compromising what we perceive as their universality, certainty, and necessity. (shrink)

The aim of my paper is twofold. First, I show how the notion of phenomenal field can be used to examine, describe and understand particular collective patterns pertaining to the everyday domain of our common social experience. Secondly, I outline the role of the notion of "phenomenal field" in ethnomethodology. I briefly discuss Gurwitsch's notion of functional meaning. After presenting the argument, I show "the locally achieved ordinariness of a common task", that is the lining up of the player of (...) the two teams in the pitch, as an embodied coherence offigural contexture in its empirical perceptual details, as Garfinkel says. (shrink)

Quite a few cognitive scientists are working toward a naturalization of phenomenology. Looking more closely at the relevant literature, however, the ‘naturalizing phenomenology’ proposals show the presence of different conceptions, assumptions, and formalisms, further differentiated by different philosophical and/or scientific concerns. This paper shows that the original Husserlian stance is deeper, clearer and more advanced than most supposed contemporary improvements. The recent achievements of experimental phenomenology show how to ‘naturalize’ phenomenology without destroying the guiding assumptions of phenomenology. The requirements grounding (...) the scientific explanation of subjective experience are discussed, such as the nature of the stimuli, their variables, and their manipulation by properly phenomenological methods. (shrink)

The apparent dichotomy between qualitative versus quantitative dimensions in science intersects with the domain of several disciplines, as well as different research fields within one and the same discipline. The perception of qualitative as “poor quantitative,” however, is methodologically unsustainable, because there are perfectly rigorous ways to conduct qualitative research. A somehow different question is whether a science of qualities per se is possible: that is, whether a science of appearances can be devised, what its observables are, and its methodological (...) implications. The article deals with this last issue, and especially from the point of view of experimental phenomenology. The weakness of the current approach to perception is discussed, and an alternative view that goes beyond veridicalism is presented. The analysis tackles crucial issues such as color and spatial appearances, the qualitative dimension of perceived depth, and the role of visual meaningful gestalten as information tools for the survival of living beings in the environment. If developed, a science of the qualitative dimensions of appearances may contribute to revising the ecological theory of perception by making its natural semantics more explicit. (shrink)

In this essay, I argue, via a revision of Freud's notions of primary and secondary process, that experiences of resonant form lie at the root of many serious ineffability claims. I suggest further that Western European culture's resistance to the perception of resonant form underlies some of its present crises.

In contemporary North American contexts, to say that a claim is oracular is seriously to undermine its philosophical credibility. My thesis is that this negative judgement of oracularity is unwarranted and that it is rooted in an excessively narrow notion of what constitutes ‘good’ philosophy. More specifically, I argue that oracular utterance is appropriate to the expression of views that regard the phenomena towards which they are directed as radically, non‐systematically integrated wholes. Importantly, such views are falsifiable—or at least as (...) falsifiable as scientific paradigms, which, in one important respect, they resemble. However, I argue further that there is good reason to think that such views cannot, without distortion, be expressed using the systematic‐analytic forms of argumentation that are frequently regarded as essential to the pursuit of philosophy. Yet the questions that they compass, concerning the way in which parts are related to the wholes that they constitute, fall squarely within the purview of traditional metaphysics. Thus, in proscribing oracular utterance we divest ourselves of the opportunity to contemplate world orders of potential philosophical interest that systematic‐analytic argument is incapable of conveying to us. (shrink)

In this study, we investigate the conceptual structure of the metaphor “SIMILARITY IS PROXIMITY.” The results of four experiments suggest a tight mental link between similarity and proximity. Two experiments revealed that people judge entities to be more similar to each other when they are placed closely in space, while two other experiments showed that entities are judged to be closer to each other when they are thought to be more similar. We discuss this bidirectional metaphor transfer effect in light (...) of approaches to metaphor understanding, including the long-standing view that metaphorical mappings are assumed to be asymmetrical. We also consider the implications of this bi-directional mapping for high level cognition. (shrink)