You don’t have to reply, but FYI I don’t understand what ListC represents (a total ordering of events defined by a logical clock? A logical clock ordering Beauty’s thoughts, or a logical clock ordering what causally can affect what, or logically affect what allowing for Newcomb-like situations? Why is there a clock at all?), how ListC is used, what concatenating multiple entries to ListC means in terms of beliefs, etc. If it’s important for readers to understand this you might have to step us through (or point us to an earlier article where you stepped us through).
ListC represents the same thing as ListE, ListL and ListU. Its a list of ordered outcomes of multiple runs of a particular model, which than we can compare to ListSB—a list of ordered awakenings of the Beauty in multiple iterations of an experiment and see whether their statistical properties are the same. The nature of the test is described in Statistical Analysis part of the post. I provide an inner hyperlink to it here:
The correct model represents the only lawful way to reason about the Sleeping Beauty problem without smuggling unjustified assumptions that the current awakening is randomly sampled. It passes the statistical test with flying colors, as it essentially reimplements the sleepingBeauty() function
Right, I read all that. I still don’t understand what it means to append two things to the list.
Here’s how I understand modelLewis, modelElga, etc.
“This model represent the world as a probability distribution. To get a more concrete sense of the world model, here’s a function which generates a sample from that probability distribution”
Here’s how I understand your model.
“This model represents the world as a ????, which like a probability distribution but different. To get a concrete sense of the world model, here’s a function which generates a sample from that probability distribution JUST KIDDING here’s TWO samples”.
Why can you generate two samples at once? What does that even mean?? The world model isn’t quite just a stationary probability distribution, fine, what is it then? Your model isn’t structured like other models, fine, but how is it structured? I’m drowning in type errors.
EDIT and I’m suggesting be really concrete, if you can, if that will help. Like come up with some concrete situation where Beauty makes a bet, or says a thing, (“Beauty woke up on Monday and said ‘I think there’s a 50% chance the coin came up on heads, and refuse to say there’s a state of affairs about what day it presently is’”) and explain what in her model made her make that bet or say that thing. Or maybe draw a picture which what her brain looks like under that circumstance compared to other circumstances.
Here’s how I think of what the list is. Sleeping Beauty writes a diary entry each day she wakes up. (“Nice weather today. I wonder how the coin landed.”). She would like to add today’s date, but can’t due to amnesia. After the experiment ends, she goes back to annotate each diary entry with what day it was written, and also the coin flip result, which she also now knows.
The experiment is lots of fun, so she signs up for it many times. The Python list corresponds to the dates she wrote in her dairy.
You don’t have to reply, but FYI I don’t understand what
ListCrepresents (a total ordering of events defined by a logical clock? A logical clock ordering Beauty’s thoughts, or a logical clock ordering what causally can affect what, or logically affect what allowing for Newcomb-like situations? Why is there a clock at all?), howListCis used, what concatenating multiple entries toListCmeans in terms of beliefs, etc. If it’s important for readers to understand this you might have to step us through (or point us to an earlier article where you stepped us through).ListC represents the same thing as ListE, ListL and ListU. Its a list of ordered outcomes of multiple runs of a particular model, which than we can compare to ListSB—a list of ordered awakenings of the Beauty in multiple iterations of an experiment and see whether their statistical properties are the same. The nature of the test is described in Statistical Analysis part of the post. I provide an inner hyperlink to it here:
Right, I read all that. I still don’t understand what it means to append two things to the list.
Here’s how I understand
modelLewis,modelElga, etc.“This model represent the world as a probability distribution. To get a more concrete sense of the world model, here’s a function which generates a sample from that probability distribution”
Here’s how I understand your model.
“This model represents the world as a ????, which like a probability distribution but different. To get a concrete sense of the world model, here’s a function which generates a sample from that probability distribution JUST KIDDING here’s TWO samples”.
Why can you generate two samples at once? What does that even mean?? The world model isn’t quite just a stationary probability distribution, fine, what is it then? Your model isn’t structured like other models, fine, but how is it structured? I’m drowning in type errors.
EDIT and I’m suggesting be really concrete, if you can, if that will help. Like come up with some concrete situation where Beauty makes a bet, or says a thing, (“Beauty woke up on Monday and said ‘I think there’s a 50% chance the coin came up on heads, and refuse to say there’s a state of affairs about what day it presently is’”) and explain what in her model made her make that bet or say that thing. Or maybe draw a picture which what her brain looks like under that circumstance compared to other circumstances.
Here’s how I think of what the list is. Sleeping Beauty writes a diary entry each day she wakes up. (“Nice weather today. I wonder how the coin landed.”). She would like to add today’s date, but can’t due to amnesia. After the experiment ends, she goes back to annotate each diary entry with what day it was written, and also the coin flip result, which she also now knows.
The experiment is lots of fun, so she signs up for it many times. The Python list corresponds to the dates she wrote in her dairy.