Mathematical Reasoning
Roles: axiom, theorem, proof, conjecture, counterexample, limit, convergence, divergence, paradox, infinite-series
The formal processes of mathematical thought: constructing proofs, reasoning about infinity, managing paradoxes, and navigating the boundary between the intuitive and the rigorous. As a source domain, mathematical reasoning provides metaphors for precision, infinite regress, convergence, and the gap between what is formally true and what is practically useful. Its transfers are most powerful when the target domain involves iterative processes, diminishing returns, or the tension between theoretical completeness and real-world action.