- □ =def know
- ◇ =def for all we know
P1 It is highly improbable that the humans will reach
the post-human stage.
S1 It is highly unlikely that our descendants will,
for whatever reason, run a sufficient number of
simulations of their own evolutionary history.
L1 We are almost certainly living in a computer
simulation.
Bostrom claims,
It follows that the belief that there is a significant
chance that we will one day become posthumans who run
ancestor‐simulations is false, unless we are currently
living in a simulation.
X0.1 ◇(S1 v L1) (Belief Introduction)
X0.2 ◇(-S1 > L1) (Material Implication)
X0.3 □(-S1 > L1) (Functional Derivation)
X1 □(L1 > S1)
We know that if we are almost certainly living in a computer simulation, then it is highly unlikely that our descendants will, for whatever reason, run a sufficient number of simulations of their own evolutionary history.
Explanation: Why would they? The interest and spark will be gone. This assumption is consistent with Pareto Principle; namely that if our descendants were to run any one simulation, the subsequent simulations will happen less often over time.
X2 ◇(-P1 > -S1)
X3 ◇(S1 > P1)
X4 ◇[(L1 > S1) & (S1 > P1)]
X5 ◇(L1 > P1) (We're caught — pessimistic universe!)
X6 □(L1 > P1)
We know that we are almost certainly living in a computer simulation yet it is not highly improbable that the humans will reach the post-human stage.
X7 □-(-L1 v P1)
X8 □-(L1 > P1)
X9 -◇(L1 > P1)
It's false that for all we know, if we are almost certainly living in a computer simulation then it is highly improbable that the humans will reach the post-human stage.
X9 contradicts X5; therefore, we must reject X1. Which tells us
X1.1 -□(L1 > S1)
It's false that we know that if we are almost certainly living in a computer simulation, then it is highly unlikely that our descendants will, for whatever reason, run a sufficient number of simulations of their own evolutionary history.
X1.2 ◇-(L1 > S1)
We should believe that it's false that if we are almost certainly living in a computer simulation, then it is highly unlikely that our descendants will, for whatever reason, run a sufficient number of simulations of their own evolutionary history.
X1.3 ◇(L1 & -S1)
We should believe that (a) we are almost certainly living in a computer simulation and (b) that it is not true that it is highly unlikely that our descendants will, for whatever reason, run a sufficient number of simulations of their own evolutionary history.
Or...
X1.4 -□(-S1 > L1)
X1.5 ◇-(-S1 > L1)
X1.6 ◇(-S1 & -L1)
We should believe that (a) we are not almost certainly living in a computer simulation and (b) that it is not highly unlikely that our descendants will, for whatever reason, run a sufficient number of simulations of their own evolutionary history.