Mathematical Modeling

Roles: model, assumption, variable, parameter, approximation, solution, constraint, boundary-condition

The practice of representing real-world phenomena as formal mathematical structures. As a source domain, mathematical modeling foregrounds the deliberate trade-off between accuracy and tractability — every model is wrong, but some are useful. The frame encodes the tensions between elegance and fidelity, parsimony and completeness, closed-form solutions and numerical approximation. Its metaphorical power derives from the prestige of mathematical certainty applied to messy reality.

As Source Frame (1)

• Spherical Cow → problem-solving, scientific-method

Applied To This Frame (2)

• mathematical-logic → Incompleteness
• cartography → Map-Territory Problem