The mental representation of brief temporal durations, when assessed in standard laboratory conditions, is highly accurate. Here we show that adding or subtracting temporal durations systematically results in strong and opposite biases, namely over-estimation for addition and under-estimation for subtraction. The difference with respect to a baseline temporal reproduction task changed across durations in an operation-specific way and survived correcting for the effect due to operation sign alone, indexing a reliable signature of arithmetic processing on time representation. A second experiment (...) replicated these findings with a different set of stimuli. This novel behavioral marker conceptually mirrors in the time domain the representational momentum found with motion, whereby the estimated spatial position of a visual target is displaced in the direction of motion itself. This momentum effect in temporal arithmetic suggests a striking analogy between time processing and visuospatial processing, which might index the presence of common computational principles. (shrink)

Many metaphor theorists argue that our mental experience of time is grounded in our understanding of space, including motion through space. Results from recent experiments – in which people think about motion, which in turn influences their thinking about time – support this position. Still, many questions remain about the nature of the metaphorical connection between time and space. Can the mere suggestion of motion influence how people reason about time, and if so, when and how? Three experiments investigated how (...) thinking about “abstract” motion through sequences of numbers or letters would influence reasoning about time. Our results extend earlier psychological work on the link between time and space by showing that even motion in non-physical domains can influence temporal reasoning. The results provide further evidence that metaphorical understanding is grounded in our everyday physical and conceptual experience. (shrink)

Mental arithmetic is characterised by a tendency to overestimate addition and to underestimate subtraction results: the operational momentum effect. Here, motivated by contentious explanations of this effect, we developed and tested an arithmetic heuristics and biases model that predicts reverse OM due to cognitive anchoring effects. Participants produced bi-directional lines with lengths corresponding to the results of arithmetic problems. In two experiments, we found regular OM with zero problems but reverse OM with non-zero problems. In a third experiment, we tested (...) the prediction of our model. Our results suggest the presence of at least three competing biases in mental arithmetic: a more-or-less heuristic, a sign-space association and an anchoring bias. We conclude that mental arithmetic exhibits shortcuts for decision-making similar to traditional domains of reasoning and problem-solving. (shrink)

The traditional view of cognition as detached from emotions is recently being questioned. This study aimed to investigate the influence of emotional valence on the accuracy and bias in the representation of numbers on the mental number line (MNL). The study included 164 participants who were randomly assigned into two groups with induced positive and negative emotional valence using matched arousal film clips. Participants performed a computerised number-to-position (CNP) task to estimate the position of numbers on a horizontal line. The (...) results showed that participants in the positive valence group exhibited a rightward bias, while those in the negative valence group showed an opposite pattern. The analysis of mean absolute error revealed that the negative valence group had higher error rates compared to the positive valence group. Furthermore, the MNL estimation pattern analysis indicated that a two-cycle cyclic power model (CPM) best explained the data for both groups. These findings suggest that emotional valence influences the spatial representation of numbers on the MNL and affects accuracy in numerical estimations. Our findings are finally discussed in terms of body-specificity and the Brain’s Asymmetric Frequency Tuning (BAFT) theories. The study provides new insights into the interplay between emotions and numerical cognition. (shrink)

ion is instrumental for our understanding of how numbers are cognitively represented. We propose that the notion of abstraction becomes testable from within the framework of simulated cognition. We describe mental simulation as embodied, grounded, and situated cognition, and report evidence for number representation at each of these levels of abstraction.

The study has two objectives: to introduce grip force recording as a new technique for studying embodied numerical processing; and to demonstrate how three competing accounts of numerical magnitude representation can be tested by using this new technique: the Mental Number Line, A Theory of Magnitude and Embodied Cognition account. While 26 healthy adults processed visually presented single digits in a go/no-go n-back paradigm, their passive holding forces for two small sensors were recorded in both hands. Spontaneous and unconscious grip (...) force changes related to number magnitude occurred in the left hand already 100–140 ms after stimulus presentation and continued systematically. Our results support a two-step model of number processing where an initial stage is related to the automatic activation of all stimulus properties whereas a later stage consists of deeper conscious processing of the stimulus. This interpretation generalizes previous work with linguistic stimuli and elaborates the timeline of embodied cognition. We hope that the use of grip force recording will advance the field of numerical cognition research. (shrink)

The reliable covariation between numerosity and spatial extent is considered as a strong constraint for inferring the successor principle in numerical cognition. We suggest that children can derive a general number concept from the (experientially) infinite succession of spatial positions during object manipulation.

Cohen Kadosh & Walsh (CK&W) present convincing evidence indicating the existence of notation-specific numerical representations in parietal cortex. We suggest that the same conclusions can be drawn for a particular type of numerical representation: the representation of time. Notation-dependent representations need not be limited to number but may also be extended to other magnitude-related contents processed in parietal cortex (Walsh 2003).

It is important for the theory of knowledge to understand the factors involved in the generation of the capacities of knowledge. In the history of modern philosophy, knowledge is generally held to originate in either one or two sources, and the debates about these sources between philosophers have concerned their existence, or legitimacy. Furthermore, some philosophers have advocated scepticism about the human capacity to understand the origins of knowledge altogether. However, the developmental aspects of knowledge have received relatively little attention (...) both by past philosophers and in current philosophical discussions. This dissertation provides a historical approach to this developmental problem of knowledge by interpreting the developmental theories of knowledge of Maine de Biran (1766–1824) and Henri Bergson (18591941) from the perspective of a theory of the ‘generative factors of knowledge.’ It first studies the philosophies of Maine de Biran and Bergson separately and then brings together and compares the metaphilosophical aims drawn from these philosophers. The dissertation’s novel analysis, provided by its theory and structure, has far-reaching consequences. From a wide point of view, it fills in considerable scholarly gaps and provides great opportunities for future research in the study of the history of philosophy. From more specific points of view, it provides its most decisive contributions in such metaphysical and epistemological topics as the nature of causality, self-generated activity, the role of effort in knowing and learning, the complementary relationship between philosophy and science, and the non-conceptual basis of knowledge. (shrink)