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Caihao Cui

Caihao Cui

Knowledge Grounds Action; Learning Nurtures Virtue.

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An intricate, high-tech interface or cosmic game backend, with glowing lines of code and data flowing, representing the "Earth Online" universe. A large, abstract guillotine blade is symbolically severing a chain between "IS" and "OUGHT" text, embodying Hume's guillotine. Below, a vast, star-strewn field extends towards a subtle, deep chasm or cliff edge, signifying the universe's inherent "hard constraints" and the absence of a visible leaderboard or explicit reward system.

Objective Function: What Does This Universe Reward?

28 July 2026·2994 words·15 mins

A metaphorical image depicting the essence of the zeroth-order principle: a single, colossal, and clearly illuminated foundational element standing prominently amidst a complex, bustling landscape of numerous smaller, less defined details. It visually represents discerning the most crucial, dominant truth or causal factor (the "bridge") from a multitude of correct but secondary considerations (the "trees"), emphasizing clarity, stability, and the overarching importance of foundational principles for a big-picture perspective.

Zeroth-Order Principle: A Big Picture Perspective Means Assigning Voting Rights to Truths

28 July 2026·3547 words·17 mins

A metaphorical image depicting the Adaptive Cycle as an infinity symbol, where one loop shows a flourishing, stable system gradually developing hidden cracks or rigidities, while the other loop illustrates the breaking down of old structures giving rise to new shoots or emerging forms of life. The image suggests a continuous cycle of growth, decline, collapse, and renewal, with elements representing both the vulnerability of stability and the generative power of destruction.

Adaptive Cycle: Instability Lurks in Stability, Vitality Springs from Decay

25 July 2026·3145 words·15 mins

A dynamic visual metaphor depicting intersecting S-curves, symbolizing business growth cycles and strategic renewal. The first curve ascends, reaches a peak, and then a second, higher curve begins before the first one declines, illustrating the 'Second Curve' concept for sustained innovation and investment. Gears or a flywheel element subtly hint at continuous feedback and momentum in economic decision-making.

Marginal Analysis: How to Determine If Continued Investment Is Worthwhile?

25 July 2026·3070 words·15 mins

A visual metaphor depicting two winding paths: an old, overgrown, and partially crumbling dirt road representing 'path dependence' alongside a newly paved, illuminated, and actively used road representing 'path creation,' with a clear divergence where new traffic flows to the new path, signifying strategic change and bypassing old obstacles.

Path Creation: The Sole Viable Method for Overcoming Path Dependence

25 July 2026·3172 words·15 mins