limit-thinking
Limit Thinking
Core principle: Don't ask "what is the value at this point?" — ask "what does this converge to as we push the variable toward its extreme?" Most planning failures happen because people evaluate a snapshot instead of a trajectory. Limit thinking reveals the destination that incremental progress is silently heading toward.
The mathematical concept of a limit — studying what a function approaches rather than where it is — is a powerful reasoning tool far beyond calculus. It exposes asymptotes, phase transitions, and convergence traps hiding inside seemingly linear plans.
How to Execute This Skill
STEP 1 — Identify the Variables
For the system, decision, or strategy being evaluated, identify the key variables that could be pushed toward an extreme.
LIMIT ANALYSIS SETUP
System: [what's being evaluated]
Variables to push:
- Variable 1: [what is it?] → Push toward: [0 / ∞ / 100% / some boundary]
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