Research in the field of cognitive neuroscience has provided extensive evidence in support of a strong relationship between time, space, and number in the human brain. In 1993, Dehaene et al. discovered the SNARC (spatial-numerical association of response codes) effect and suggested that numbers may be internally represented along a spatial dimension, with low numbers on the left of a mental number line, and high numbers on the right. The investigation of this effect has been studied through the use of different methodologies and recent insights have extent this effect also to decisional processes (Daar and Pratt, 2008; Loetscher et al., 2008; Vicario, 2012, 2013).
Similar relationships were also documented in research investigating link between space and time (DeLong, 1981; Vicario et al., 2007, 2009, 2011a,b; Ishihara et al., 2008; Vallesi et al., 2008; Fabbri et al., 2013) as well as between time and numbers (for instance see Dormal et al., 2006; Vicario et al., 2008; Lu et al., 2009; Vicario, 2011).
This literature corroborates the suggestion of common cortical metrics for space time and numbers (Walsh, 2003). However, despite the 10 years that have elapsed since Walsh (2003) published his theoretical work, the debate about “A theory of Magnitude” (ATOM) is still object of discussion.
This research topic entitled “On a generalized magnitude system in the brain: insights from experimental evidence” contains 10 state-of-the-art original research articles exploring the relationships between time, space and number. These research articles provide original contributions about the representation of magnitude in different research fields including childhood participants (Bottini and Casasanto, 2013; Lonnemann et al., 2013; Tokita and Ishiguchi, 2013), genetic polymorphism (Júlio-Costa et al., 2013), clinical populations such as schizophrenia (Martinez-Cascales et al., 2013) and right brain damaged patients (Ishihara et al., 2013), investigations on healthy adults (Baker et al., 2013; Blini et al., 2013; Crollen et al., 2013; Viarouge and de Hevia, 2013).
A lively contribute to this debate is also provided by the mini-review of Leibovich and Henik (2013) and six opinion articles (Agrillo and Miletto Petrazzini, 2013; Arzy et al., 2013; De Simone, 2013; Tzelgov et al., 2013; Van Opstal and Verguts, 2013; Vicario et al., 2013). These theoretical contributions address ATOM from different perspectives, revealing the strengths but also the weaknesses of this model.
Much more work needs to be done and many issues remain to be addressed before we fully understand the brain mechanisms underlying the existence of analogies (Vicario and Martino, 2010) between magnitudes.
It has been a great pleasure and honor to be involved in this Research Topic. I would like to thank all of the authors, reviewers, and Frontiers staff for helping to make this Research Topic possible and I look forward to further explorations of the brain mechanisms underlying ATOM.
References
1
AgrilloC.Miletto PetrazziniM. E. (2013). Glimpse of ATOM in non-human species. Front. Psychol. 4:460. 10.3389/fpsyg.2013.00460
2
ArzyS. (2013). When speaking of the experience, do not leave out the experiencer: on self and magnitude. Front. Psychol. 4:303. 10.3389/fpsyg.2013.00303
3
BakerJ. M.RodzonK. S.JordanK. (2013). The impact of emotion on numerosity estimation. Front. Psychol. 4:521. 10.3389/fpsyg.2013.00521
4
BliniE.CattaneoZ.VallarG. (2013). Different effects of numerical magnitude on visual and proprioceptive reference frames. Front. Psychol. 4:190. 10.3389/fpsyg.2013.00190
5
BottiniR.CasasantoD. (2013). Space and time in the child's mind: metaphoric or ATOMic?Front. Psychol. 4:803. 10.3389/fpsyg.2013.00803
6
CrollenV.GradeS.PesentiM.DormalV. (2013). A common metric magnitude system for the perception and production of numerosity, length, and duration. Front. Psychol. 4:449. 10.3389/fpsyg.2013.00449
7
DaarM.PrattJ. (2008). Digits affect actions: the SNARC effect and response selection. Cortex. 44, 400–405. 10.1016/j.cortex.2007.12.003
8
DehaeneS.BossiniS.GirauxP. (1993). The mental representation of parity and numerical magnitude. J. Exp. Psychol. Gen. 122, 371–396.
9
DeLongA. J. (1981). Phenomenological space-time: toward an experiential relativity. Science213, 681–683. 10.1126/science.7256273
10
De SimoneL. (2013). Grounding magnitudes. Front. Psychol. 4:410. 10.3389/fpsyg.2013.00410
11
DormalV.SeronX.PesentiM. (2006). Numerosity-duration interference: a stroop experiment. Acta Psychol. 121, 109–124. 10.1016/j.actpsy.2005.06.003
12
FabbriM.CelliniN.MartoniM.TonettiL.NataleV. (2013). Perceptual and motor congruency effects in time-space association. Atten. Percept. Psychophys. [Epub ahead of print]. 10.3758/s13414-013-0519-9
13
IshiharaM.KellerP. E.RossettiY.PrinzW. (2008). Horizontal spatial representations of time: evidence for the STEARC effect. Cortex44, 454–461. 10.1016/j.cortex.2007.08.010
14
IshiharaM.RevolP.Jacquin-CourtoisS.MayetR.RodeG.BoissonD.et al. (2013). Tonal cues modulate line bisection performance: preliminary evidence for a new rehabilitation prospect. Front. Psychol. 4:704. 10.3389/fpsyg.2013.00704
15
Júlio-CostaA.AntunesA. M.Lopes-SilvaJ. B.MoreiraB. C.ViannaG. S.WoodG.et al. (2013). Count on dopamine: influences of COMT polymorphisms on numerical cognition. Front. Psychol. 4:531. 10.3389/fpsyg.2013.00531
16
LeibovichT.HenikA. (2013). Magnitude processing in non-symbolic stimuli. Front. Psychol. 4:375. 10.3389/fpsyg.2013.00375
17
LoetscherT.SchwarzU.SchubigerM.BruggerP. (2008). Head turns bias the brain's internal random generator. Curr. Biol. 18, R60–R62. 10.1016/j.cub.2007.11.015
18
LonnemannJ.LinkersdörferJ.NaglerT.HasselhornM.LindbergS. (2013). Spatial representations of numbers and letters in children. Front. Psychol. 4:544. 10.3389/fpsyg.2013.00544
19
LuA.HodgesB.ZhangJ.ZhangJ. X. (2009). Contextual effects on number-time interaction. Cognition113, 117–122. 10.1016/j.cognition.2009.07.001
20
Martinez-CascalesI.De La FuenteJ.SantiagoJ.SantiagoJ. (2013). Space and time bisection in schizophrenia. Front. Psychol. 4:823. 10.3389/fpsyg.2013.00823
21
TokitaM.IshiguchiA. (2013). Effects of perceptual variables on numerosity comparison in 5-6-year-olds and adults. Front. Psychol. 4:431. 10.3389/fpsyg.2013.00431
22
TzelgovJ.Zohar-ShaiB.NuerkH. C. (2013). On defining quantifying and measuring the SNARC effect. Front. Psychol. 4:302. 10.3389/fpsyg.2013.00302
23
VallesiA.BinnsM. A.ShalliceT. (2008). An effect of spatial–temporal association of response codes: understanding the cognitive representations of time. Cognition107, 501–527. 10.1016/j.cognition.2007.10.011
24
Van OpstalF.VergutsT. (2013). Is there a generalized magnitude system in the brain. Behavioral, neuroimaging, and computational evidence. Front. Psychol. 4:435. 10.3389/fpsyg.2013.00435
25
ViarougeA.de HeviaM. D. (2013). The role of numerical magnitude and order in the illusory perception of size and brightness. Front. Psychol. 4:484. 10.3389/fpsyg.2013.00484
26
VicarioC. M. (2011). Perceiving numbers affects the subjective temporal midpoint. Perception40, 23–29. 10.1068/p6800
27
VicarioC. M. (2012). Perceiving numbers affects the internal random movements generator. Sci. World J. 2012:347068. 10.1100/2012/347068
28
VicarioC. M. (2013). Landmark test and decision making: a reply to a reply. Perception42, 356–357. 10.1068/p7334
29
VicarioC. M.BonníS.KochG. (2011a). Left hand dominance affects supra-second time processing. Front. Integr. Neurosci. 5:65. 10.3389/fnint.2011.00065
30
VicarioC. M.MartinoD.PavoneE. F.FuggettaG. (2011b). Lateral head turning affects temporal memory. Percept. Mot. Skills113, 3–10. 10.2466/04.22.PMS.113.4.3-10
31
VicarioC. M.CaltagironeC.OliveriM. (2007). Optokinetic stimulation affects temporal estimation in healthy humans. Brain Cogn. 64, 68–73. 10.1016/j.bandc.2006.12.002
32
VicarioC. M.MartinoD. (2010). The neurophysiology of magnitude: one example of extraction analogies. Cogn. Neurosci. 1, 144–145. 10.1080/17588921003763969
33
VicarioC. M.PecoraroP.TurrizianiP.KochG.CaltagironeC.OliveriM. (2008). Relativistic compression and expansion of experiential time in the left and right space. PLoS ON. 3:e1716. 10.1371/journal.pone.0001716
34
VicarioC. M.RappoG.PepiA.OliveriM. (2009). Timing flickers across sensory modalities. Perception38, 1144–1151. 10.1068/p6362
35
VicarioC. M.YatesM. J.NichollsM. E. (2013). Shared deficits in space, time, and quantity processing in childhood genetic disorders. Front. Psychol. 4:43. 10.3389/fpsyg.2013.00043
36
WalshV. (2003). A theory of magnitude: common cortical metrics of time, space and quantity. Trends Cogn. Sci. 11, 483–488. 10.1016/j.tics.2003.09.002
Summary
Keywords
time, space, numbers, perception, cognition
Citation
Vicario CM (2013) On a generalized magnitude system in the brain: an integrative perspective. Front. Psychol. 4:829. doi: 10.3389/fpsyg.2013.00829
Received
16 October 2013
Accepted
18 October 2013
Published
12 November 2013
Volume
4 - 2013
Edited by
Lorenza S. Colzato, Leiden University, Netherlands
Copyright
© 2013 Vicario.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: carmelo.vicario@uniroma1.it
This article was submitted to Cognition, a section of the journal Frontiers in Psychology.
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