From quantical to numerical cognition: A crucial passage for understanding the nature of mathematics and its origins

Author(s):  
Rafael E. Núñez
2006 ◽  
Author(s):  
Elizabeth M. Brannon ◽  
Jessica F. Cantlon ◽  
Sara Cordes ◽  
Kerry E. Jordan ◽  
Evan L. MacLean ◽  
...  

Author(s):  
Dengfeng Yan ◽  
Jaideep Sengupta

Abstract This research seeks to examine, first, whether and why consumers perceive divisible versus indivisible numbers differently and, second, how such divergent perceptions influence consumer preferences for marketer-created entities associated with divisible versus indivisible numbers. Integrating insights from two different literatures—numerical cognition and loneliness—we propose and find that numbers perceived to be divisible (vs. indivisible) are viewed as having more “connections” and are therefore deemed to be less lonely. Building on these findings and the literature on compensatory consumption, we then propose and demonstrate that a temporary feeling of loneliness increases participants’ relative preference for various targets—products, attributes, and prices—associated with divisible (vs. indivisible) numbers, which are perceived to be relatively more connected and less lonely. It merits mention that our findings are triangulated across a wide variety of numbers, different product categories, and multiple operationalizations of loneliness.


Cognition ◽  
2021 ◽  
Vol 215 ◽  
pp. 104816
Author(s):  
I. Coolen ◽  
R. Merkley ◽  
D. Ansari ◽  
E. Dove ◽  
A. Dowker ◽  
...  

2018 ◽  
Vol 72 (7) ◽  
pp. 1732-1740 ◽  
Author(s):  
Matthias Hartmann ◽  
Martin H Fischer ◽  
Fred W Mast

A growing body of research shows that the human brain acts differently when performing a task together with another person than when performing the same task alone. In this study, we investigated the influence of a co-actor on numerical cognition using a joint random number generation (RNG) task. We found that participants generated relatively smaller numbers when they were located to the left (vs. right) of a co-actor (Experiment 1), as if the two individuals shared a mental number line and predominantly selected numbers corresponding to their relative body position. Moreover, the mere presence of another person on the left or right side or the processing of numbers from loudspeaker on the left or right side had no influence on the magnitude of generated numbers (Experiment 2), suggesting that a bias in RNG only emerged during interpersonal interactions. Interestingly, the effect of relative body position on RNG was driven by participants with high trait empathic concern towards others, pointing towards a mediating role of feelings of sympathy for joint compatibility effects. Finally, the spatial bias emerged only after the co-actors swapped their spatial position, suggesting that joint spatial representations are constructed only after the spatial reference frame became salient. In contrast to previous studies, our findings cannot be explained by action co-representation because the consecutive production of numbers does not involve conflict at the motor response level. Our results therefore suggest that spatial reference coding, rather than motor mirroring, can determine joint compatibility effects. Our results demonstrate how physical properties of interpersonal situations, such as the relative body position, shape seemingly abstract cognition.


2013 ◽  
Vol 4 ◽  
Author(s):  
Annelise Júlio-Costa ◽  
Andressa M. Antunes ◽  
Júlia B. Lopes-Silva ◽  
Bárbara C. Moreira ◽  
Gabrielle S. Vianna ◽  
...  
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