Local vs. Global Maxima
Updated 2026-08-15
INTRODUCTION
English translation pending.
CORE DEFINITION
In the hill-climbing analogy, a local maximum is the highest point in a small neighborhood and the global maximum is the highest point in the whole space. Reaching the main peak often requires first going downhill, accepting a temporary decline. The model trains non-continuous crossing: it explains why improvement so often blocks revolution, and it gives the architecture for disrupting yourself while the present is still acceptable, enduring the trough, and reaching a higher dimension.
SCAFFOLDING EFFECT
Reduce cognitive load
- Suspect the small peak: when progress stalls on a good plateau, check for a taller one. - Accept the descent: plan for the temporary decline the crossing requires. - Cross on purpose: restructure, change domains, or restart rather than climbing the same hill harder.
Anchor fast decisions
Gradient ascent always moves toward whatever is nearest and uphill, so it stops at the first peak it finds and cannot see the higher one beyond the valley. Improvement refines within the current shape while the bigger gain lives in a different shape, which is why reaching it demands a deliberate step down that steady improvement will never choose.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
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Source support: Explicit
- en.wikipedia.orghttps://en.wikipedia.org/wiki/Maximum_and_minimumverified
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