Mathematicians accept published proofs as correct without personally verifying them, and often read proofs to increase understanding rather than to check correctness¶

Claim · All claims
Evidence · 1 study (2 entries) · qualitative r? · q1–q2
Currency · newest study 2013 · not yet checked against its sources · not reviewed by a person

Subclaims¶

Reading the evidence codes

q is the design tier, i the impact, n the sample, and the kind with its r the rigour judged within that kind: what each code means.

This claim: no standardized effect is recorded in observations/ for it yet, so no benchmark reading is possible.

q1 i? In interviews, some mathematicians stated they assume a published proof is correct rather than checking it. → Keith Weber 2013 q2 i? 74% of surveyed mathematicians agreed they sometimes read published proofs to increase understanding without checking correctness. → Keith Weber 2013 (2)

Evidence¶

Keith Weber 2013¶

Keith Weber, Matthew Inglis & Juan Pablo Mejia-Ramos. (2013). How mathematicians obtain conviction: Implications for mathematics instruction and research on epistemic cognition. https://doi.org/10.1080/00461520.2013.865527

q1 · i? · qualitative · r?

Interview study with nine highly successful mathematicians from a top United States mathematics department (Weber & Mejia-Ramos) on why they read published proofs. One participant stated, "If it's in a journal, then I assume it is"; other participants expressed the opposite viewpoint.

"Now notice what I did not say. I do not try and determine if a proof is correct. If it's in a journal, then I assume it is"

Keith Weber 2013 (2)¶

q2 · i? · theoretical · r3

Survey of 118 research-active mathematicians about their purposes in reading journal proofs. The article reports "74% of the 118 surveyed mathematicians agreed" they sometimes read proofs for understanding without checking correctness; no effect size is printed.

"Indeed, 74% of the 118 surveyed mathematicians agreed that they sometimes did not check a published proof for correctness, but read the proof to increase their understanding"

Discussion¶

Most interviewed mathematicians said the author of a deductive argument influences how they read it, and surveyed referees were split on trusting authoritative sources — related
A majority of surveyed mathematicians report believing proofs are correct because of journal publication, journal quality, or a trusted authoritative source — possibly the same claim (merge candidate)

Page metadata

Field	Value
`type`	`claim`
`id`	`mathematicians-accept-published-proofs-unchecked`
`title`	`Mathematicians accept published proofs as correct without personally verifying them, and often read proofs to increase understanding rather than to check correctness`
`description`	`Mathematicians accept published proofs as correct without personally verifying them, and often read proofs to increase understanding rather than to check correctness`
`status`	`review`
`evidence_strength`	`moderate`
`newest_evidence`	`2013`
`generated`	by `process:wiki-ingest` on `2026-10-22`
`trust`	unverified — no one has confirmed this page's content
`sources`	2 — `keith-weber-2013`, `keith-weber-2013-2`

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