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MATH.21:3 - Forces
| Force | Tension |
|---|
| Finite access | A finite construction can supply an observation of an infinite object without exposing all its properties. |
| Choice of space | A sequence can have a limit in a larger space while lacking one among the originally admitted objects. |
| Strength of convergence | A stronger condition can preserve more operations but require unnecessary work for a weaker request. |
| Representation | Different approximation families can construct the same object; their operations must respect that identification. |
| Existence and obtaining | A theorem can establish a limit while leaving the procedure for a requested approximation unspecified. |
| Reuse | An established convergence theorem saves work when its hypotheses match the new construction. |