Andrew Fribush

fig. 2.14.1: the value of survival as the hazard rises, equation (29) against the printed (32), (33), (103) and (104)

fig. 2.14.1 · the value of survival as the hazard rises, equation (29) against the printed (32), (33), (103) and (104).
PRINTED v = 100 FAILS (29); 33.3 SATISFIES ITONE LINE IS ONE FORMULA FOR v AS THE HAZARD RISES (u = 1, rho = 0.02, g_v = 0);ACCENT IS THE DRAFT’S, DOTS THE AUDIT’S CHECK.05010000.010.02 = rho0.030.04HAZARD delta, PER YEARDRAG THE SHEET FOR YOUR OWN HAZARDvINFINITE AT rho,NEGATIVE PAST ITCORRECT, FROM (29): v = u / (rho + delta − g_v)PRINTED (32), (103):v = u / (rho − delta + g_v)100 PRINTED · OFF (29) BY -0.02033.3 CORRECT · (29) HOLDS

Equation (29) of the 2019 draft, rho = g_v + u(c)/v − delta, gives v = u(c)/(rho + delta − g_v). The next lines, (32) and (33), repeated as (103) and (104) on printed page 51, divide by rho − delta + g_v instead. Checked with exact rationals in checks.py.

source: Existential Risk and Growth derivation audit, checks.py line 7 and results.json (eq103_constant_flow); audit.md lines 9-23 · costateSign.data.ts

View in context: Three algebra errors in "Existential Risk and Growth" → · All figures

Andrew Fribush, software and computer engineer in Austin. I build consequential systems where software meets institutions: finance, healthcare, commerce, government data, and the mechanisms that govern AI agents. Taking new engagements: hello@andrewfribush.com.