Mathematical Modelling as Scientific Knowledge Production

Definitions and mathematical statement

The supplied record uses mathematical modelling, scientific knowledge, validation, and negotiation across disciplines without formal definitions. It specifies no class of models, scientific disciplines, validation criteria, mathematical structures, hypotheses, boundary conditions, or quantifiers. Consequently, a precise mathematical proposition cannot be extracted without additional assumptions.

The source-level research question is: determine the function and status of mathematical modelling in producing scientific knowledge, including how models are built, validated, negotiated across disciplines, and used to generate mathematical knowledge. This is a broad methodological and epistemological research question. Its intended scope and criteria for a satisfactory answer remain unspecified; the supplied evidence does not justify replacing it with a particular formal theorem or conjecture.

Short English statement

Explain the role of mathematical modelling in producing scientific knowledge: how models are constructed and validated, how they are negotiated across disciplines, and how they generate mathematical knowledge. The record does not supply the definitions or criteria needed for a precise mathematical formulation.

Sources

• Supplied local problem registry: permanent UnsolvedMath ID $30002306$, source problem code catalogue entry, title "Mathematical Modelling as Scientific Knowledge Production," in the Oberwolfach Reports Open Problems collection. The proposed year is recorded as 2013; no individual proposer is identified.
• Supplied report citation: From "Mixed" to "Applied" Mathematics: Tracing an important dimension of mathematics and its history (2013), Oberwolfach Reports, pp. 657--733, DOI 10.4171/owr/2013/12. https://doi.org/10.4171/owr/2013/12. The background describes Oberwolfach Reports as documenting mathematical workshops and their open-problem discussions. No specific page or passage for this question is supplied.
• Supplied literature source: "Oberwolfach Report 12/2013," https://doi.org/10.4171/owr/2013/12. The literature assessment dated 2026-08-21 labels the question open and states that existing modelling literature offers domain-specific frameworks but no complete theory addressing all listed aspects. This is supplied dated curation derived from the OWR record, not an independently verified literature assessment; its time-sensitive status and cited claims require independent verification.
• The registry labels the statement exact and reports that its mathematical content was checked against the official Oberwolfach report, with notation, context, and question form normalized without changing the source-level claim. These are supplied verification claims, not verification performed for this draft.