Author: HoverHell
Any non-astronomically-small increase in chance of having an astronomically long life is worth more than anything in a normal-duration life.
## Infrastructural
from decimal import Decimal as D
import pandas as pa
DF = pa.DataFrame
u_n = D("1") # utility of nlife # arbitrary constant here
u_x = u_n * D("1e5") # utility of xlife # very humble low guess
p_x = D("1e-6") # base probability of xlife # also somewhat low
p_n = 1 - p_x # probability of nlife # see assumptions
columns = 'u_n u_x p_n p_x min_p_d'.split()
c_a_x = lambda: p_d > p_n * (u_n / u_x)
min_p_d = p_n * (u_n / u_x)
DF([(u_n, u_x, p_n, p_x, min_p_d)], columns=columns)
u_n | u_x | p_n | p_x | min_p_d | |
---|---|---|---|---|---|
0 | 1 | 1E+5 | 0.999999 | 0.000001 | 0.00000999999 |
values = [
# u_x, p_x
[D("1e2"), D("1e-10")],
[D("1e10"), D("1e-1")],
]
DF([[u_n, u_x, 1 - p_x, p_x, (1 - p_x) * (u_n / u_x)]
for u_x, p_x in values], columns=columns)
u_n | u_x | p_n | p_x | min_p_d | |
---|---|---|---|---|---|
0 | 1 | 1E+2 | 0.9999999999 | 1E-10 | 0.009999999999 |
1 | 1 | 1E+10 | 0.9 | 0.1 | 9E-11 |