Evidence map›Paper›PMID 33843510›Full record

ArticleThe Behavioral and brain sciences2021

The number sense represents (rational) numbers.

Sam Clarke, Jacob Beck

Abstract read
PubMed Publisher
In one paragraph

Article in The Behavioral and brain sciences, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers, 1 of them a synthesis that pooled it.

0numbers the graph read from it
0cells of the map it votes in
14citing papers in PubMed, 1 pooled it
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

14 citing papers in PubMed, 1 synthesis or guideline pooled it.

  1. Pooled it
  2. Part-whole effects in visual number estimation.Attention, perception & psychophysics · 2026
    Article
  3. Article
  4. Article
  5. Article
  6. Article
  7. Understanding the complexities of mathematical cognition: A multi-level framework.Quarterly journal of experimental psychology (2006) · 2023
    Article
  8. Article
  9. Article
  10. Review
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  12. Number sense: the mediating effect between nonverbal intelligence and children's mathematical performance.Psicologia, reflexao e critica : revista semestral do Departamento de Psicologia da UFRGS · 2022
    Article
  13. Article
  14. Article
4 · The record

Corrections and comments

5 · Who and what money

Authors and funding

2 authors.

Sam ClarkeDepartment of Philosophy & Centre for Vision Research, York University, Toronto, ONM3J 1P3, Canada. spclarke@yorku.ca; http://www.sampclarke.netjbeck@yorku.ca; http://www.jacobbeck.org.
Jacob BeckDepartment of Philosophy & Centre for Vision Research, York University, Toronto, ONM3J 1P3, Canada. spclarke@yorku.ca; http://www.sampclarke.netjbeck@yorku.ca; http://www.jacobbeck.org.ORCID 0000-0002-2991-3124

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

On a now orthodox view, humans and many other animals possess a "number sense," or approximate number system (ANS), that represents number. Recently, this orthodox view has been subject to numerous critiques that question whether the ANS genuinely represents number. We distinguish three lines of critique - the arguments from congruency, confounds, and imprecision - and show that none succeed. We then provide positive reasons to think that the ANS genuinely represents numbers, and not just non-numerical confounds or exotic substitutes for number, such as "numerosities" or "quanticals," as critics propose. In so doing, we raise a neglected question: numbers of what kind? Proponents of the orthodox view have been remarkably coy on this issue. But this is unsatisfactory since the predictions of the orthodox view, including the situations in which the ANS is expected to succeed or fail, turn on the kind(s) of number being represented. In response, we propose that the ANS represents not only natural numbers (e.g., 7), but also non-natural rational numbers (e.g., 3.5). It does not represent irrational numbers (e.g., √2), however, and thereby fails to represent the real numbers more generally. This distances our proposal from existing conjectures, refines our understanding of the ANS, and paves the way for future research.

Indexed as

CognitionLanguageAnimalsDissent and DisputesHumansanalog magnitude systemapproximate number systemnumber sensenumerical cognitionnumerosity

Identifiers

What OpenQuestion holds

Textmetadata
Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.