Sorry, I missed that you postulated an infinite universe in your game.
I don’t believe I am misrepresenting your position. “Maximizing utility” is achieved by-, and therefore can be defined as- “choosing the highest number”. The wants of the agent need not be considered. “Choosing the highest number” is an example of “doing something impossible”. I think your argument breaks down to “An agent who can do the impossible can not exist.” or “It is impossible to do the impossible”. I agree with this statement, but I don’t think it tells us anything useful. I think, but I haven’t thought it out fully, that it is the concept of infinity that is tripping you up.
What you’ve done is take my argument and transform it into an equivalent obvious statement. That isn’t a counter-argument. In fact, in mathematics, it is a method of proving a theorem.
If you read the other comments, then you’ll see that other people disagree with what I’ve said (and in a different manner than you), so I’m not just stating something obvious that everyone already knows and agrees with.
“What you’ve done is take my argument and transform it into an equivalent obvious statement. That isn’t a counter-argument. In fact, in mathematics, it is a method of proving a theorem.
If you read the other comments, then you’ll see that other people disagree with what I’ve said”
You’re welcome? Feel free to make use of my proof in your conversations with those guys. It looks pretty solid to me.
If a Perfect Rational Agent is one who can choose Maximum Finite Utility.
And Utility is numerically quantifiable and exists in infinite quantities.
And the Agent must choose the quantity of Utility by finite number.
Then no such agent can exist.
Therefore a Perfect Rational Agent does not exist in all possible worlds.
I suppose I’m agreeing but unimpressed. Might could be this is the wrong website for me. Any thought experiment involving infinity does run the risk of sounding dangerously close to Theology to my ears. Angels on pinheads and such. I’m not from around here and only dropped in to ask a specific question elsewhere. Cheers.
Sorry, I missed that you postulated an infinite universe in your game.
I don’t believe I am misrepresenting your position. “Maximizing utility” is achieved by-, and therefore can be defined as- “choosing the highest number”. The wants of the agent need not be considered. “Choosing the highest number” is an example of “doing something impossible”. I think your argument breaks down to “An agent who can do the impossible can not exist.” or “It is impossible to do the impossible”. I agree with this statement, but I don’t think it tells us anything useful. I think, but I haven’t thought it out fully, that it is the concept of infinity that is tripping you up.
What you’ve done is take my argument and transform it into an equivalent obvious statement. That isn’t a counter-argument. In fact, in mathematics, it is a method of proving a theorem.
If you read the other comments, then you’ll see that other people disagree with what I’ve said (and in a different manner than you), so I’m not just stating something obvious that everyone already knows and agrees with.
“What you’ve done is take my argument and transform it into an equivalent obvious statement. That isn’t a counter-argument. In fact, in mathematics, it is a method of proving a theorem. If you read the other comments, then you’ll see that other people disagree with what I’ve said” You’re welcome? Feel free to make use of my proof in your conversations with those guys. It looks pretty solid to me.
If a Perfect Rational Agent is one who can choose Maximum Finite Utility. And Utility is numerically quantifiable and exists in infinite quantities. And the Agent must choose the quantity of Utility by finite number. Then no such agent can exist. Therefore a Perfect Rational Agent does not exist in all possible worlds.
I suppose I’m agreeing but unimpressed. Might could be this is the wrong website for me. Any thought experiment involving infinity does run the risk of sounding dangerously close to Theology to my ears. Angels on pinheads and such. I’m not from around here and only dropped in to ask a specific question elsewhere. Cheers.