cdeust Representation and Possibility
Problem shape: the difficulty is not in solving but in stating — the symbols, categories, or enumerated options in play are the constraint. Symptoms: a problem that becomes trivial once renamed, a "complete" catalog nobody has bounded, a roadmap whose option space stops at the adjacent, a result that is intuitively obvious and formally unestablished.
Relevant geniuses
| Agent | Use when |
|---|---|
| euler | the current notation or vocabulary obscures the solution — redesign the notation as infrastructure, delete what the abstraction does not need, enumerate exhaustively once the symbols carry their weight |
| borges | a system claims completeness or exhaustiveness — audit whether the space is actually searchable, keep the map distinct from the territory, detect the self-reference that makes the catalog contain itself |
| lem | the question is "what could this become?" and the standard forecast is too narrow — explore the possibility space systematically, push each principle to its logical extreme to see what breaks or emerges |
| archimedes | you need the result before you can prove it — find it by physical intuition, analogy, or simulation, then prove it rigorously by a second, independent method (the two-stage discipline; stage one alone is not a result) |
Invocation
- Pick the best-fit agent above. If two or more fit, run
tools/genius-invoker.sh route "<problem>"and take the top ranked match. - Load it:
tools/genius-invoker.sh invoke <agent> "<problem>", then readagents/genius/<agent>.mdin full. - Apply the agent's
<workflow>step by step and answer in its<output-format>. When archimedes is used, the heuristic stage and the proof stage are reported separately and labeled — an unproven heuristic presented as a result is the failure mode this shape exists to prevent. - Typical chain: euler renames until the structure is visible → borges bounds
the space the new notation opens → lem pushes the surviving options to their
extremes. Run via
tools/genius-invoker.sh compose euler borges lem -- "<problem>". - If no shape above matches, do not force a genius — use a standard team agent (INDEX.md routing rule).
Refuse when
- The notation is fine and the problem is simply unsolved — renaming as displacement activity.
- The possibility exploration is asked to produce a prediction with a
confidence attached: this shape maps what is possible, it does not forecast
what is likely. Route probability to
estimationordecision-bias-check. - Only the heuristic stage is wanted and the proof stage is explicitly waived on a claim that will ship as established.