Flexible conceptual projection of time onto spatial frames of reference

Flexibility in conceptual projection constitutes one of the most challenging issues in the embodiment and conceptual metaphor literatures. We sketch a theoretical proposal that places the burden of the explanation on attentional dynamics in interaction with mental models in working memory that are constrained to be maximally coherent. A test of this theory is provided in the context of the conceptual projection of time onto the domain of space. Participants categorized words presented at different spatial locations (back–front, left–right) as referring to the past or to the future. Responses were faster when the irrelevant word location was congruent with the back–past, front–future metaphoric mapping. Moreover, when a new highly task-relevant spatial frame of reference was introduced, it changed the projection of past and future onto space in a way that was congruent with the new frame (past was now projected to left space and future to right space), as predicted by the theory. This study shows that there is substantial flexibility in conceptual projection and opens a venue to study metaphoric variation across tasks, individuals, and cultures as the result of attentional dynamics.     

Relationship between frames of reference and mirror-image reversals

The mirror puzzle related to the perception of mirror images as left-right reversed can be more fully understood by considering an extended problem that includes also the perception of mirror images that are not left-right reversed. The purpose of the present study is to clarify the physical aspect of this extended problem logically and parsimoniously. Separate use of the intrinsic frame of reference that belongs to the object and one that belongs to its mirror image always leads to the perception of left-right reversal when the object has left-right asymmetry; on the other hand, the perception of left-right nonreversal is always due to the application of a common frame of reference to the object and its mirror image.     

Spatial reference frames and SNARC

In this work, the role that spatial reference frames play in determining the spatial-numerical association of response codes (SNARC) effect is examined. Participants were instructed to generate an image of the numbers 1–9 oriented spatially in either a horizontal, vertical, or proximo-distal manner. Responses to a magnitude comparison task were then provided manually using keys located either to the left and right or at the bottom and top of a computer keyboard. For conditions in which the orientation of the generated image and the response locations were orthogonally misaligned, SNARC effects were not evident. It is argued that such results imply that alignment of the spatial reference frames associated with the responses and with the representation of numerical magnitude is a necessary condition for the elicitation of the SNARC effect.     

Object localisation and frames of reference

In this paper, we explore which spatial frames of reference, egocentric or allocentric, are used to locate objects either in relation to ourselves (i.e. subject-to-object localisation) or to other objects (i.e. object-to-object localisation). In particular, we wanted to know whether the same or different frames of reference are used in these two different kinds of localisation after learning the environment in an egocentric way. Egocentric frames of reference are determined by the position of the person in relation to the spatial layout, whereas allocentric frames of reference are centred on the environment or on objects, independent of a persons position. We hypothesised that subject-to-object localisation is based on egocentric spatial representations, whereas object-to-object localisation is based on allocentric spatial representations. Participants were asked to study eight common objects, placed in a circle. Next, half of the participants had to point to an object in relation to their imagined position (egocentric condition) and the other half to an object in relation to another object (allocentric condition). The overall results show no difference between subject-to-object and object-to-object localisation. In both cases, access to positions corresponding to the front/back body axis was facilitated, in terms of both latency and error. Moreover, participants were able to retrieve objects positions better from the perspective from which they had learned the spatial array than from new perspectives. These results support the conclusion that egocentric coordinates, which are selected on the basis of our body-centred experience of the environment, define spatial representations underlying both subject-to-object and object-to-object localisation.     

Deviant logic and the paradoxes of self reference

The paradoxes of self reference have to be dealt with by anyone seeking to give a satisfactory account of the logic of truth, of properties, and even of sets of numbers. Unfortunately, there is no widespread agreement as to how to deal with these paradoxes. Some approaches block the paradoxical inferences by rejecting as invalid a move that classical logic counts as valid. In the recent literature, this deviant logic analysis of the paradoxes has been called into question.This disagreement motivates a re-examination of the philosophy of formal logic and the status of logical truths and rules. In this paper I do some of this work, and I show that this gives us the means to defend the deviant approaches against such criticisms. As a result I hope to show that these analyses of the paradoxes are worthy of more serious consideration than they have so far received.Letting a hundred flowers blossom and a hundred schools of thought contend is the policy for promoting the progress of the arts and the sciences.— Mao Tse-TungDedicated to Bob Meyer on the occasion of his 60th BirthdayThis paper was presented to the Department of Philosophy of the University of Queensland, and the 1992 Australasian Association of Philosophy Conference. I'm grateful for comments and criticism from those present; especially Graham Priest, Gary Malinas, Ian Hinckfuss, Mark Lance and Lloyd Reinhardt. The paper has a second half Comparing Deviant Logics that was read at the 1992 Australasian Association for Logic Conference, held in honour of Bob Meyer. Both are dedicated to him with appreciation for his work which, as many can see, provides inspiration for this conception of logic.     

Interactions between symmetry and elongation in determining reference frames for object perception.

Many theories of object recognition posit that objects are encoded with respect to a perceptual frame of reference. Such theories assume that factors such as symmetry and elongation are critical for the assignment of an object's primary axis, and consequently for the extraction of an object's reference frame. The present experiments directly examined the relative roles played by symmetry and elongation in the determination of an object's primary axis, and the extent to which symmetry and elongation interact with one another. We found that observers use both symmetry and elongation in extracting an object's primary axis, that the extent to which each cue dominates depends on its relative salience, and that symmetry and elongation are processed interactively, rather than in encapsulated modules.     

Selection of reference frames and the 'vicariance' of perceptual systems

Interindividual differences in field dependence-independence (FDI) which emerge in situations of vision-posture conflict when subjects are required to orient their bodies vertically were investigated. The first aim was to see whether the same interindividual differences are found in judgements of the orientation of forms in focal vision in which subjects have to deal with conflicting spatial references processed by different sensory modalities. The second aim was to test the idea that the FDI dimension is due to functional habits linked to balancing. Subjects performed Kopfermann's (1930) shape-orientation task in either a stable (experiment 1) or an unstable (experiment 2) postural condition. Results showed that the FDI dimension comes into play in the solution of the Kopfermann shape orientation task, and that there is an interactive link between FDI and postural balance, consistent with theoretical expectations. More generally, it appears that the 'choice' of a spatial reference system is the product of both individual and situational characteristics, and that the 'vicariance' (or interchangeability) of the sensory systems dealing with gravitational upright is at the basis of this interaction.     

On the relation between conceptual engineering and conceptual ethics

In recent years, there has been growing discussion amongst philosophers about “conceptual engineering”. Put roughly, conceptual engineering concerns the assessment and improvement of concepts, or of other devices we use in thought and talk (e.g., words). This often involves attempts to modify our existing concepts (or other representational devices), and/or our practices of using them. This paper explores the relation between conceptual engineering and conceptual ethics, where conceptual ethics is taken to encompass normative and evaluative questions about concepts, words, and other broadly “representational” and/or “inferential” devices we use in thought and talk. We take some of the central questions in conceptual ethics to concern which concepts we should use and what words should mean, and why. We put forward a view of conceptual engineering in terms of the following three activities: conceptual ethics, conceptual innovation, and conceptual implementation. On our view, conceptual engineering can be defined in terms of these three activities, but not in a straightforward, Boolean way. Conceptual engineering, we argue, is made up of mereologically complex activities whose parts fall into the categories associated with each of these three different activities.     

The relation of the conceptual self to recent and distant autobiographical memories

Based on the self-memory system model (SMS; Conway, Singer, & Tagini, 2004) of autobiographical memory, this study uses a large sample of young and middle-aged adults to investigate the relation between individuals' current self-characteristics and the content of both their earliest childhood memory and a recent memory. In the first session, participants' current self-characteristics were assessed. In the second session, individuals provided a written narrative of their earliest childhood memory and a more recent memory (within-participants design) and rated the self themes present in each memory. In keeping with the SMS model, findings show that current self-characteristics were reflected in individuals' memories. As predicted, however, recent memories were more frequently linked to current self-characteristics than were earliest memories. All six current self-characteristics predicted the inclusion of these themes in recent memories, but only four self-characteristics were associated with memory themes in earliest memories. The relation between current self-characteristics and memory themes did not differ across young and middle-aged adults, suggesting developmental stability in these relations. Findings provide general support for the SMS model but also suggest possibilities for its extension and refinement.     

The relation of the conceptual self to recent and distant autobiographical memories

Based on the self-memory system model (SMS; Conway, Singer, & Tagini, 2004) of autobiographical memory, this study uses a large sample of young and middle-aged adults to investigate the relation between individuals’ current self-characteristics and the content of both their earliest childhood memory and a recent memory. In the first session, participants’ current self-characteristics were assessed. In the second session, individuals provided a written narrative of their earliest childhood memory and a more recent memory (within-participants design) and rated the self themes present in each memory. In keeping with the SMS model, findings show that current self-characteristics were reflected in individuals’ memories. As predicted, however, recent memories were more frequently linked to current self-characteristics than were earliest memories. All six current self-characteristics predicted the inclusion of these themes in recent memories, but only four self-characteristics were associated with memory themes in earliest memories. The relation between current self-characteristics and memory themes did not differ across young and middle-aged adults, suggesting developmental stability in these relations. Findings provide general support for the SMS model but also suggest possibilities for its extension and refinement.     

Intrinsic frames of reference in spatial memory

Three experiments investigated the frames of reference used in memory to represent the spatial structure of the environment. Participants learned the locations of objects in a room according to an intrinsic axis of the configuration; the axis was different from or the same as their viewing perspective. Judgments of relative direction using memory were most accurate for imagined headings parallel to the intrinsic axis, even when it differed from the viewing perspective, and there was no cost to learning the layout according to a nonegocentric axis. When the shape of the layout was bilaterally symmetric relative to the intrinsic axis of learning, novel headings orthogonal to that axis were retrieved more accurately than were other novel headings. These results indicate that spatial memories are defined with respect to intrinsic frames of reference, which are selected on the basis of egocentric experience and environmental cues.     

The relationship between allocentric and egocentric frames of reference and categorical and coordinate spatial information processing

We report two experiments on the relationship between allocentric/egocentric frames of reference and categorical/coordinate spatial relations. Jager and Postma (2003) suggest two theoretical possibilities about their relationship: categorical judgements are better when combined with an allocentric reference frame and coordinate judgements with an egocentric reference frame (interaction hypothesis); allocentric/egocentric and categorical/coordinate form independent dimensions (independence hypothesis). Participants saw stimuli comprising two vertical bars (targets), one above and the other below a horizontal bar. They had to judge whether the targets appeared on the same side (categorical) or at the same distance (coordinate) with respect either to their body-midline (egocentric) or to the centre of the horizontal bar (allocentric). The results from Experiment 1 showed a facilitation in the allocentric and categorical conditions. In line with the independence hypothesis, no interaction effect emerged. To see whether the results were affected by the visual salience of the stimuli, in Experiment 2 the luminance of the horizontal bar was reduced. As a consequence, a significant interaction effect emerged indicating that categorical judgements were more accurate than coordinate ones, and especially so in the allocentric condition. Furthermore, egocentric judgements were as accurate as allocentric ones with a specific improvement when combined with coordinate spatial relations. The data from Experiment 2 showed that the visual salience of stimuli affected the relationship between allocentric/egocentric and categorical/coordinate dimensions. This suggests that the emergence of a selective interaction between the two dimensions may be modulated by the characteristics of the task.     

Haptic space processing--allocentric and egocentric reference frames.

In this paper a haptic matching, task is used to analyze haptic spatial processing. In various conditions, blindfolded participants were asked to make a test bar parallel to a reference bar. This always resulted in large but systematic deviations. It will be shown that the results can be described with a model in which an egocentric reference frame biases the participants' settings: What a participant haptically perceives as parallel is a weighted average of parallel in allocentric space and parallel in egocentric space. The basis of the egocentric reference frame is uncertain. There is strong evidence that at least a hand-centred reference frame is involved, but possibly a body-centred reference frame also plays a role.     

Local and global reference frames for environmental spaces

Two experiments examined how locations in environmental spaces, which cannot be overseen from one location, are represented in memory: by global reference frames, multiple local reference frames, or orientation-free representations. After learning an immersive virtual environment by repeatedly walking a closed multisegment route, participants pointed to seven previously learned targets from different locations. Contrary to many conceptions of survey knowledge, local reference frames played an important role: Participants performed better when their body or pointing targets were aligned with the local reference frame (corridor). Moreover, most participants turned their head to align it with local reference frames. However, indications for global reference frames were also found: Participants performed better when their body or current corridor was parallel/orthogonal to a global reference frame instead of oblique. Participants showing this pattern performed comparatively better. We conclude that survey tasks can be solved based on interconnected local reference frames. Participants who pointed more accurately or quickly additionally used global reference frames.     

The relationship between allocentric and egocentric frames of reference and categorical and coordinate spatial information processing

We report two experiments on the relationship between allocentric/egocentric frames of reference and categorical/coordinate spatial relations. Jager and Postma (2003) suggest two theoretical possibilities about their relationship: categorical judgements are better when combined with an allocentric reference frame and coordinate judgements with an egocentric reference frame (interaction hypothesis); allocentric/egocentric and categorical/coordinate form independent dimensions (independence hypothesis). Participants saw stimuli comprising two vertical bars (targets), one above and the other below a horizontal bar. They had to judge whether the targets appeared on the same side (categorical) or at the same distance (coordinate) with respect either to their body-midline (egocentric) or to the centre of the horizontal bar (allocentric). The results from Experiment 1 showed a facilitation in the allocentric and categorical conditions. In line with the independence hypothesis, no interaction effect emerged. To see whether the results were affected by the visual salience of the stimuli, in Experiment 2 the luminance of the horizontal bar was reduced. As a consequence, a significant interaction effect emerged indicating that categorical judgements were more accurate than coordinate ones, and especially so in the allocentric condition. Furthermore, egocentric judgements were as accurate as allocentric ones with a specific improvement when combined with coordinate spatial relations. The data from Experiment 2 showed that the visual salience of stimuli affected the relationship between allocentric/egocentric and categorical/coordinate dimensions. This suggests that the emergence of a selective interaction between the two dimensions may be modulated by the characteristics of the task.     

The interaction of spatial reference frames and hierarchical object representations: evidence from figure copying in hemispatial neglect

In copying or drawing a figure, patients with hemispatial neglect following right parietal lobe lesions typically produce an adequate representation of parts on the right of the figure while omitting the corresponding features on the left. The neglect of information occupying contralateral locations is influenced by multiple spatial reference frames and by the hierarchical structure of the object(s) in the figure. The present work presents a computational characterization of the interaction among these influences to account for the way in which neglect manifests in copying. Empirical data are initially collected from brain-damaged and normal control subjects during two figure-copying tasks in which the hierarchical complexity and orientation of the displays to be copied are manipulated. In the context of the model, neglect is simulated by a “lesion” (monotonic drop-off along gradient from right to left) that can affect performance in both object- and viewer-centered reference frames. The effect of neglect in both these frames, coupled with the hierarchical representation of the object(s), provides a coherent account of the copying behavior of the patients and may be extended to account for the copying performance of other patients across a range of objects and scenes.     

Center of mass perception and inertial frames of reference

Center of mass perception was investigated by varying the shape, size, and orientation of planar objects. Shape was manipulated to investigate symmetries as information. The number of reflective symmetry axes, the amount of rotational symmetry, and the presence of radial symmetry were varied. Orientation affected systematic errors. Judgments tended to undershoot the center of mass. Random errors increased with size and decreased with symmetry. Size had no effect on random errors for maximally symmetric objects, although orientation did. The spatial distributions of judgments were elliptical. Distribution axes were found to align with the principle moments of inertia. Major axes tended to align with gravity in maximally symmetric objects. A functional and physical account was given in terms of the repercussions of error. Overall, judgments were very accurate.