I’m not nitpicking, you’re wrong. “Universal” in this context means, to quote the original poster
i.e. the probability space of all events that could occur at some time during the existence of the universe
What the heck does that have to do with every possible sequence being generated? For that matter what does it have to do with sequences at all? The solomonoff measure is a measure over sequences in a finite alphabet, or to put it simpler, Integers. How do I express an event like “it will rain next tuesday” as a subset of the integers?
Whatever you are using the word “universal” to mean, it is not anything like what the OP had in mind. The Solomonoff measure is an interesting mathematical object for sure, and it may be quite relevant to the topic of real-world Bayesian reasoning, but it’s obviously not universal in that sense.
also: what the heck does “universally recursive” mean? Did you just make up that term right now? Because I’ve never heard it before, it only has 10 google hits, and none of them are relevant to this discussion.
Events, and the universe itself, are encodable as sequences.
This means that events, and possible universes, are a subset of the sequences generated from the universal computer.
Algorithmic information theory can then be used to find probabilities for events and universes.
This is one of the CENTRAL POINTS of Algorithmic Information Theory.
What I am doing now, is teaching you A.I.T., while you wrongly claim you understand it, and wrongly claim I do not, despite an amount of evidence to the contrary. I therefore conclude that you are not very rational.
kim0, you are trolling now. You are not communicating clearly, and then claim that the objections to your unclear communication are invalid, because you can retroactively amend the bad connotations and ambiguities, but in the process of doing so, you introduce further false-sounding and ambiguous statements. You should choose your words more carefully.
I’m not nitpicking, you’re wrong. “Universal” in this context means, to quote the original poster
What the heck does that have to do with every possible sequence being generated? For that matter what does it have to do with sequences at all? The solomonoff measure is a measure over sequences in a finite alphabet, or to put it simpler, Integers. How do I express an event like “it will rain next tuesday” as a subset of the integers?
Whatever you are using the word “universal” to mean, it is not anything like what the OP had in mind. The Solomonoff measure is an interesting mathematical object for sure, and it may be quite relevant to the topic of real-world Bayesian reasoning, but it’s obviously not universal in that sense.
also: what the heck does “universally recursive” mean? Did you just make up that term right now? Because I’ve never heard it before, it only has 10 google hits, and none of them are relevant to this discussion.
Events, and the universe itself, are encodable as sequences.
This means that events, and possible universes, are a subset of the sequences generated from the universal computer.
Algorithmic information theory can then be used to find probabilities for events and universes.
This is one of the CENTRAL POINTS of Algorithmic Information Theory.
What I am doing now, is teaching you A.I.T., while you wrongly claim you understand it, and wrongly claim I do not, despite an amount of evidence to the contrary. I therefore conclude that you are not very rational.
kim0, you are trolling now. You are not communicating clearly, and then claim that the objections to your unclear communication are invalid, because you can retroactively amend the bad connotations and ambiguities, but in the process of doing so, you introduce further false-sounding and ambiguous statements. You should choose your words more carefully.