Library / Mathematical Thinking DPF
Jump to passage
In this reading

Link to current text

Published source confirmed at last check

Source changed 2026-10-03 10:39:28 UTC · snapshot created 2026-10-03 10:40:04 UTC · last check 2026-10-03 11:40:09 UTC

MATH.18:4.1 - Set the scope of the comparison

Name the source account, target account and intended use. Identify the objects involved, their operations and relations, and what counts as an answer. If transformations between objects matter, include those transformations in the comparison.

For each ingredient that the intended consequence uses, ask how the target will express it. Keep optional additional structure separate. For example, an additive operation, an order and a distance support different questions even when carried by the same underlying set.

Decide the strength of the needed conclusion. Transferring one equation, constructing a solution, comparing all compositions in a selected family, and establishing equivalence of two presentations are different claims. Inspect the ingredients and reasoning needed for that claim. Expand the comparison when the next use expands it.