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MENTAL MODEL · M11387

Catastrophe Theory Model

Catastrophe Theory Model
SystemsHigh supportSystems Theory
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Updated 2026-08-13

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INTRODUCTION

English translation pending.

CORE DEFINITION

Catastrophe theory model ideation draws on Rene Thom's catastrophe theory, in which a system jumps discontinuously from one state to another as control variables cross a threshold. Applied to innovation, it prescribes deliberately seeking a non-incremental leap instead of a linear improvement series. The core claim is that incremental improvement has a ceiling beyond which further accumulation yields nothing, and that a systemic redesign achieves a qualitative jump rather than a linear addition. The key condition is that the leap be feasible and its risk assessed, not merely desired.

SCAFFOLDING EFFECT

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- Ceiling detection: establish that incremental improvement has genuinely exhausted all of its returns. - Jump dimension search: find the variable along which a redesign can leap. - Risk assessment: judge whether the leap is truly feasible before committing the resources.

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Incremental gains are additive on the current curve, so they cannot leave it, and once the curve flattens each unit of effort returns less. A catastrophe-theory jump changes the state itself, moving the system onto a different curve whose low end sits above the old curve's high end. The redesign therefore pays off discontinuously precisely where accumulation stopped paying, which is why the leap is sought only after the ceiling is proven.

MINIMUM ACTION

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Source support: Explicit

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    en.wikipedia.orghttps://en.wikipedia.org/wiki/Catastrophe_theoryZH · Explicit
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