You send out one thousand probes that are all too far apart to have any effect on each other. Each probe flips a coin / selects a random quantum bit. If heads, it creates one billion simulations of you and tells each of them that it got heads. If tails, it creates one simulation of you and tells it that it got tails. And “you” as the person who sent the probes commits suicide right after launch, so you’re not counted as part of this.
Would you agree that this version exhibits the same paradoxical structure as yours, so I can analyze it with priors etc? If not, what would you prefer I change? I want hard numbers so I can actually get numerical output.
Here’s my version of your scenario.
You send out one thousand probes that are all too far apart to have any effect on each other. Each probe flips a coin / selects a random quantum bit. If heads, it creates one billion simulations of you and tells each of them that it got heads. If tails, it creates one simulation of you and tells it that it got tails. And “you” as the person who sent the probes commits suicide right after launch, so you’re not counted as part of this.
Would you agree that this version exhibits the same paradoxical structure as yours, so I can analyze it with priors etc? If not, what would you prefer I change? I want hard numbers so I can actually get numerical output.