Historical Research Questions on Embodied Mathematics

Definitions and mathematical statement

The supplied record gives no mathematical definitions of a mathematical instrument, of a material artefact embodying mathematics, or of engagement by a non-mathematician. These expressions are retained as terms of historical, philosophical, and educational inquiry; no mathematical domains, predicates, hypotheses, boundary conditions, or quantifiers are specified.

The source questions are:

1. What mathematics is involved in mathematical instruments?
2. What does it mean for a material artefact to embody mathematics?
3. How do non-mathematicians engage with embodied mathematics?

The supplied statement-verification note identifies these as framing questions in the official report, rather than a standalone mathematical problem. The record marks the statement as unrecoverable, supplies no separate clean statement, and retains the original questions for provenance. Consequently, a precise mathematical proposition cannot be recovered from the supplied evidence without introducing additional definitions and an intended target that the source does not provide.

The report title concerns scientific and social roles before 1950. This is contextual historical scope; the supplied questions do not specify how that restriction applies to each question. The registry labels the record open; this is a supplied classification, not an independently verified mathematical assertion.

Short English statement

The record preserves three research questions about mathematics in instruments, its embodiment in material artefacts, and engagement by non-mathematicians. Its supplied verification describes historical, philosophical, and educational framing questions, with no recoverable standalone mathematical statement. A precise formalization requires definitions and a target absent from the record.

Sources

• Local UnsolvedMath registry, permanent ID 30003681, source problem code catalogue entry, title Historical Research Questions on Embodied Mathematics; collection: Oberwolfach Reports Open Problems. The supplied proposed year is 2017; no individual proposer is identified. The registry preserves workshop-report provenance and open-problem discussions.
• Supplied source citation: Mathematical Instruments between Material Artifacts and Ideal Machines: Their Scientific and Social Role before 1950 (2018), Oberwolfach Reports, DOI 10.4171/owr/2017/58, pp. 3471--3560. https://doi.org/10.4171/owr/2017/58. This is the supplied report attribution; its contents have not been independently consulted for this draft.
• Supplied literature source, labeled OWR Report 58/2019: https://ems.press/content/serial-article-files/46722.
• Supplied literature source, Material encounters and media events: https://link.springer.com/article/10.1007/s10649-015-9657-4.
• Supplied literature source, Embodied mathematics education: https://link.springer.com/article/10.1007/s11858-019-01045-9.
• Literature assessment dated exactly 2026-08-21: the supplied curation labels the status open and reports that research on embodied mathematics and material encounters provides case studies and conceptual frameworks, while the broad questions about mathematical embodiment and non-mathematicians' engagement have no general resolution. This is supplied dated curation derived from the OWR record, not an independently verified literature assessment. The source explicitly calls for independent verification of time-sensitive status and cited claims.