Equation 10 · Part 1 · When Generation Becomes Free, Attention Becomes the Scarce Good

Symbol phi_t

\phi_t

\phi_t

What this part means

the fraction.

Its job in the formula

ph $i_t$ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Full expressionSymbol phi_tArticle meaning

Where the article explains it

The number of claims that can be verified, and the fraction $\phi_t$ of what arrives that is actually checked, are then $V_t$ \;=\; $\frac{A_t}{c_v}$ , $\qquad$ $\phi_t$ \;=\; $\frac{V_t}{G_t}$ \;=\; $\frac{A_t}{c_v \, G_t}$ .

The passage around this formula

This is bookkeeping, not a finding. Its only content is what it forbids. Simon’s point was that $A_t$ is bounded by hours and by human processing capacity, and that this bound is not responsive to technology in the way that $G_t$ is. If $G_t$ rises by an order of magnitude, $\phi_t$ falls by an order of magnitude unless $c_v$ falls proportionally or $A_t$ expands proportionally. Institutions are the mechanism by which societies have historically pushed on $c_v$ . Nothing pushes usefully on $A_t$ .

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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The article lists its research sources here.