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Published equation contexts

Kt+1=Kt+Vt−Et−OtK_{t+1}=K_t + V_t - E_t - O_t

Why this formula appears here

This gives an epistemic version of the cumulative-culture recurrence. Let KtK_t be decision-relevant knowledge rather than stored content: Kt+1=Kt+Vt−Et−OtK_{t+1}=K_t + V_t - E_t - O_t. where VtV_t is validated contribution, EtE_t is undetected error, and OtO_t is obsolescence. Increasing generation raises VtV_t only if validation capacity scales; otherwise it can raise EtE_t faster. AI policy focused exclusively on model output neglects the institutions that transform output into warranted action.

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Kt+1K_{t+1}

Symbol K_t+1

KtK_t+1 is the next indexed value. The formula starts from KtK_t and applies the additions and subtractions shown on the right.

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Kt+1=Kt+Vt−Et−Ot,K_{t+1}=K_t + V_t - E_t - O_t,

Equation 15 · Humanity & Technology

Humanity Has Always Been a Human–Technology System

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

This gives an epistemic version of the cumulative-culture recurrence. Let KtK_t be decision-relevant knowledge rather than stored content: Kt+1=Kt+Vt−Et−OtK_{t+1}=K_t + V_t - E_t - O_t. where VtV_t is validated contribution, EtE_t is undetected error, and OtO_t is obsolescence. Increasing generation raises VtV_t only if validation capacity scales; otherwise it can raise EtE_t faster. AI policy focused exclusively on model output neglects the institutions that transform output into warranted action.

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