phenomenon · claim-type · cross-domain-transfer · mechanism · claim-relation · replication-status · limitation — grounded in the full text| phenomenon | mathematical expertise— “Amalric and Dehaene ( 1 ) report a detailed investigation into the neuronal origins and consequences of mathematical expertise.” | |
| claim-type | critique— “By showing that expert mathematicians do not recruit brain areas associated with language when engaged in mathematical thinking, Amalric and Dehaene ( 1 ) refute the hypothesis that higher level mathematical abilities are grounded in language systems of the brain.” | |
| method — evidence | — “In PNAS, Amalric and Dehaene ( 1 ) report data that significantly advance our understanding of the origins of high-level mathematical abilities.” | |
| object of study — evidence | — “Amalric and Dehaene ( 1 ) report a detailed investigation into the neuronal origins and consequences of mathematical expertise.” | |
| mechanism | Acquiring mathematical expertise drives plastic change in ventral visual cortex for formulas and digits, which in turn reorganises responses to other visual categories such as faces— “These data may suggest that expertise leads to plastic changes in the cortical processing of mathematical formulas and digits, which, in turn, affect the functional organization of other visual categories.” | mechanisms[0] |
| mechanism | Expertise redirects attention toward domain-relevant information, which could by itself produce the frontoparietal activation differences— “Put differently, expertise may change the way in which attention is directed to information relevant to the domain of expertise.” | mechanisms[1] |
| mechanism | The commentary's own Neurosynth analysis supports the dissociation independently: regions reported alongside the term numerical are largely separate from those reported alongside language— “This analysis provides support for the finding that the processing of numerical information is (largely) anatomically distinct from the brain circuitry that is thought to underpin linguistic functions.” | mechanisms[2] |
| mechanism | The overlap between advanced mathematical reflection and simple calculation is read as evidence that expertise is built on elementary symbolic number circuits rather than separate from them— “By doing so, the data speak against the notion that basic number concepts have little to do with advanced… | mechanisms[3] |
| mechanism | Expertise may reorganise the ventral visual stream, with gains for formulas and digits accompanied by reduced response to faces Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | mechanisms[4] |
| mechanism | The commentary's own alternative account: expertise may change where attention goes rather than which systems are recruited, and the design cannot separate the two Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | mechanisms[5] |
| mechanism | A test is proposed that would separate them - compare mathematicians on mathematics with experts in another field on their own domain Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | mechanisms[6] |
| builds-on | Amalric & Dehaene, "Origins of the brain networks for advanced mathematics in expert mathematicians" (PNAS 2016) - the companion article this piece comments on Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | claim_relations[0] |
| contradicts | Hurford (ref. 7, p. 305), "without language, no numeracy" Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | claim_relations[1] |
| critiques | Hurford's claim that there is no numeracy without language Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | claim_relations[2] |
| supports | Amalric and Dehaene (2016), the commented paper Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | claim_relations[3] |
| supports | Dehaene and Cohen's prediction of a visual number form area Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | claim_relations[4] |
| critiques | the early structural studies of Einstein's brain Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | claim_relations[5] |
| sense | number processing - symbolic: numerals and written formulas, which the commented study ties to advanced mathematics Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | senses[0] |
| sense | number processing - nonsymbolic: quantity as in dot arrays, shared with other species, and explicitly NOT covered by the result Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | senses[1] |
| sense | expertise effect - domain-general: attention, working memory and difficulty, which the frontoparietal network also serves Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | senses[2] |
| sense | expertise effect - domain-specific: information processing particular to the domain, which is the reading the commented paper needs and the design cannot yet secure Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | senses[3] |
| sense | the language claim - Hurford's strong form: numeracy is impossible without language Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | senses[4] |
| sense | the language claim - the surviving weak forms: language may matter for ACQUIRING expertise, or through connectivity rather than recruitment Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | senses[5] |
| audit | EVIDENCE CORRECTED (RE-GROUNDED) · mathematical expertise —distinct-from→ language — Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but the span writes 'expert mathematicians', not 'mathematical expertise'. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[0] |
| retracted | EVIDENCE CORRECTED (RE-GROUNDED) · mathematical expertise —distinct-from→ language — RE-GROUNDED. The old span named only the brain regions. This sentence names both and states the distinction AS THE FIELD'S OPEN DISAGREEMENT - some argue language is the basis, others that the abilities are nonverbal - which is a more honest ground for 'distinct-from' than an assertion. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[0] |
| weight | EVIDENCE CORRECTED (RE-GROUNDED) · mathematical expertise —distinct-from→ language — 0.9 Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[0] |
| audit | symbolic number processing —part-of→ mathematical expertise — Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but the span reports a CONNECTION between the circuits for elementary number processing and higher mathematics; part-of is loose. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[1] |
| weight | symbolic number processing —part-of→ mathematical expertise — 0.9 Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[1] |
| audit | nonsymbolic —distinct-from→ symbolic number processing — Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but endpoint by anaphora: 'symbolic numbers' = symbolic number processing (previous sentence); the span says a connection 'does not necessarily imply' the same for nonsymbolic processing; distinct-from is loose. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[2] |
| edge | visual number form area —part-of→ ventral visual cortex Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[3] |
| audit | visual number form area —operationalised-as→ inferior temporal gyri — Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but the span says regions in the bilateral inferior temporal gyri respond to numerals - a LOCATION for the VNFA; operationalised-as is loose. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[4] |
| weight | visual number form area —operationalised-as→ inferior temporal gyri — 0.9 Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[4] |
| audit | frontoparietal —part-of→ domain-general — Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but the frontoparietal regions are ASSOCIATED WITH processes not specific to mathematics; part-of 'domain-general' is loose. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[5] |
| audit | Neurosynth —operationalised-as→ reverse-inference — Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but the reverse-inference meta-analysis was CONDUCTED USING Neurosynth; operationalised-as is loose. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[6] |
| audit | mathematical expertise —distinct-from→ language — Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but the span reports a DEBATE - some argue language is the basis, others that nonverbal processes are; distinct-from is not the paper's own claim. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[13] |
| note | mathematical expertise —distinct-from→ language — RE-GROUNDS another row of this record: the old span named ONE endpoint. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[13] |
| weight | mathematical expertise —distinct-from→ language — 0.9 Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[13] |
| for which use | limitation — the commentary's own reading of the language result: LANGUAGE MAY HAVE PLAYED A ROLE IN THE INITIAL ACQUISITION OF MATHEMATICAL EXPERTISE OR ... AT THE LEVEL OF FUNCTIONAL CONNECTIVITY WITH LANGUAGE AREAS ... RATHER THAN THROUGH THEIR DIRECT RECRUITMENT Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[0] |
| for which use | limitation — any causal reading of the expertise-related differences: SUCH CORRELATIONAL DATA CANNOT BE USED TO INFER CAUSALITY Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[1] |
| duplicate of | limitation — limitations[1] Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[2] |
| for which use | limitation — the same scope as limitations[1], and it is an amplification rather than a new objection: AS AMALRIC AND DEHAENE ACKNOWLEDGE Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[2] |
| for which use | limitation — the plasticity interpretation specifically: IT IS EQUALLY PLAUSIBLE THAT GENETIC DIFFERENCES BETWEEN EXPERT MATHEMATICIANS AND NONMATHEMATICIANS AFFECT THE ORGANIZATION OF THE VENTRAL VISUAL STREAM Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[3] |
| for which use | limitation — the same scope as limitations[0] - the refutation of the language hypothesis is qualified in two ways these data cannot reach Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[4] |
| for which use | limitation — the extension to nonsymbolic number: A CONNECTION BETWEEN SYMBOLIC NUMBERS AND MATHEMATICAL EXPERTISE IN THE BRAIN DOES NOT NECESSARILY IMPLY THAT THE SAME IS TRUE FOR NONSYMBOLIC NUMBER PROCESSING Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[5] |
| for which use | limitation — the functional significance of the reorganisation: DOES A REDUCED RESPONSE TO FACES TRANSLATE INTO POORER FACE-PROCESSING SKILLS AMONG EXPERT MATHEMATICIANS? Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[6] |
| replication | untested | |
| limitation | The commentary bounds its own conclusion: language may still matter for the acquisition of expertise, or via connectivity rather than direct recruitment. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[0] |
| limitation | The evidence discussed is correlational and cannot establish that expertise causes the reported plastic changes. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[1] |
| limitation | The commentary's own caution, echoing the original authors: the expertise-related brain differences are correlational and cannot establish causality Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[2] |
| limitation | Genetic differences between the groups are as compatible with the data as expertise-driven plasticity Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[3] |
| limitation | The refutation of the language hypothesis is qualified in two ways the data cannot reach Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[4] |
| limitation | Whether the link to elementary number extends to nonsymbolic representations is untested and not implied Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[5] |
| limitation | Whether the reorganisation has behavioural consequences is left as an open question Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[6] |
finding · quantity · variable · definition · key-term — grounded in the full text| finding | The analysis supports the finding that numerical processing is largely anatomically separate from the circuitry thought to support language. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[0] |
| finding | The commentary concludes that the absence of language-area recruitment in expert mathematicians refutes the claim that high-level mathematical ability is grounded in language systems. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[1] |
| finding | The commentary argues the overlap between advanced mathematical reflection and elementary number processing implies a deep continuity between rudimentary symbolic number skills and advanced mathematics. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[2] |
| finding | The author qualifies the refutation: language may still matter for the initial acquisition of expertise or through functional connectivity rather than direct recruitment. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[3] |
| finding | The author raises an alternative: the experts may have attended differently to mathematical statements because these are especially salient to them. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[4] |
| finding | As the original authors acknowledge, correlational data like these cannot be used to infer causality. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[5] |
| finding | the author's meta-analysis maps regions reported more often in articles whose abstracts mention 'numerical' (89 studies) than in those that do not Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[6] |
| finding | the commentary reads the result as refuting the hypothesis that higher-level mathematical abilities are grounded in the brain's language systems Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[7] |
| finding | the commentary's open question: how elementary number circuits are recruited into expertise is not addressed by the data Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[8] |
| quantity | 89 studies — Number of studies whose abstracts mention "numerical", pooled in the author's Neurosynth map Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.quantities[0] |
| quantity | 885 studies — Number of studies contributing to the "language" term map in the same meta-analysis Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.quantities[1] |
| quantity | 15 expert mathematicians and 15 nonmathematicians — Sample of the fMRI study the commentary evaluates Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.quantities[2] |
| quantity | 89 studies — abstracts mentioning 'numerical' behind the commentary's own meta-analytic map Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.quantities[3] |
| quantity | 885 studies — abstracts mentioning 'language' in the same analysis - ten times the numerical set Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.quantities[4] |
| definition | visual number form area (VNFA) Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.definitions[0] |
| definition | visual number form area Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.definitions[1] |
| definition | reverse-inference meta-analysis Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.definitions[2] |
| key-terms | mathematical expertise, numerical, language, symbolic number processing, nonsymbolic, visual number form area, ventral visual cortex, inferior temporal gyri, frontoparietal, domain-general, Neurosynth, reverse-inference, electrocorticography, plasticity, functional connectivity, visuospatial skills |
| meta-analysis | as written: reverse-inference meta-analysis conducted using Neurosynth Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.statistics[0] |
| phenomenon | mathematical expertise — a second reading reaching the same value; recorded: mathematical expertise Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | alternatives.phenomenon |
When we have changed our mind. Some entries in the table begin with a word in capitals and the reason for it. EVIDENCE CORRECTED — the finding still stands, but we had quoted the wrong sentence from the paper, and the quotation has been replaced with the right one. RETRACTED — the entry itself was wrong; it stays on the page, marked, with the reason, rather than being deleted. WITHDRAWN AND REPLACED — the entry was wrong, and a corrected version of it appears in the entries below. Each mark carries its own reason, in brackets, because the reasons differ from one entry to the next. An entry we have WITHDRAWN is removed from this page and kept in the record, with its reason. A line reading Audit and a date is a later re-reading of the entry against its whole sentence: DOUBTFUL means it was kept, and the reason says what is loose about it. Quotation marks inside the tagger's sentence. Where a tag is the tagger's own sentence, a phrase in quotation marks inside it is borrowed from the paper — the tagger's wording around it is not. The paper's own sentence is the evidence quote for that row; on this page it is withheld with the article, and the article is at its publisher. Nothing inside quotation marks anywhere on this page is ours: if it is quoted, it is the paper's. Whose words a concept carries. A concept entry records a term the paper itself uses, so the term, the sense given for it, and its evidence are the paper's own words, quoted where the paper fixes them. This is the opposite of a sense entry in the tag table, which is the tagger's sentence about how the paper uses a term. Where a concept entry could not be grounded in the paper's words, the entry says so on its own row.
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