So by “actual me” we are talking about me as from first-person perspective. Then I stand by my previous comment. There is no reason to think the time of my birth is random. Apart from the small randomness in the actual time of labour. I do not see why our discussion should exclude year and only consider month and date. Especially considering the Doomsday argument is talking about the entire history of humans. Even if only the month and dates are considered I fail to see why my birthday can be any value between 1Jan to 31 Dec. My birthday is mid August. There is no way for me to be born on 1 Jan unless we are talking about someone else entirely.
Unless of course if you are treating the starting point of our calendar year as random. Which has its merit since that point is rather arbitrary and bears no logical significance. In that sense yes technically the calendar date of my birth is random. However this only means how we denote my time of birth is random. Not that my actual birth time itself is random.
I am confused by your last paragraph. That my birth year cannot be before 1800. So instead of treating all human beings as in the same reference class like ordinary Doomsday Argument suggests, are you suggesting that only people who have ever considered ideas like Doomsday Argument are in the reference class? That is quite an extraordinary statement. I know such ideas exist but never seen any serious proponent. In comparison I think what I’m proposing is much more straightforward: If I employ first-person perspective and use introspection to identify me, or the “actual me” which is the only person there is to identify, then in this logic framework I am inherently unique. The only person in my reference class is me alone.
All discussion about days and months was to illustrate that despite my uniqueness, my properties (which are not relevant for knowing about DA) still look randomly chosen from the set of all available properties. In other words, my month of birth and the fact that I know about DA are “mutually random” variables. It is mostly the same for the year of birth, but here it is more complicated, as not all years are fit for random picking, but those which are after 1800 approximately.
For example, if I know that you birthday is in 8th month of year, but I don’t know the total number of months in a year, I could estimate that with 50 per cent probability the year has 16 month, which is very close to real value of 12. My birthday in in 9th month, so it will be 18 months estimation.
Yes, I think that the most correct referent class is the class of those who knows about DA. This implies the “end” soon, in the decades. I have a large text which overview this and other my ideas about DA here.
Guessing the number of months by my birthday is essentially treating me as an sample. It is a valid method because if we take the birthdays from a large number of people then the estimation would converge on the true value. However in this logic framework no individual is inherently unique. Everyone belongs to the same reference class. So here we shouldn’t use the concept of first-person me, or actual me, which automatically stands out from all others. Instead each individual, including myself, shall be treated equally and be specified from a third-person perspective by features. And as I have argued previously Doomsday Argument do not work if the individual is specified by features. It requires the use of first-person me and treat it as an ordinary number of a false reference class.
So by “actual me” we are talking about me as from first-person perspective. Then I stand by my previous comment. There is no reason to think the time of my birth is random. Apart from the small randomness in the actual time of labour. I do not see why our discussion should exclude year and only consider month and date. Especially considering the Doomsday argument is talking about the entire history of humans. Even if only the month and dates are considered I fail to see why my birthday can be any value between 1Jan to 31 Dec. My birthday is mid August. There is no way for me to be born on 1 Jan unless we are talking about someone else entirely.
Unless of course if you are treating the starting point of our calendar year as random. Which has its merit since that point is rather arbitrary and bears no logical significance. In that sense yes technically the calendar date of my birth is random. However this only means how we denote my time of birth is random. Not that my actual birth time itself is random.
I am confused by your last paragraph. That my birth year cannot be before 1800. So instead of treating all human beings as in the same reference class like ordinary Doomsday Argument suggests, are you suggesting that only people who have ever considered ideas like Doomsday Argument are in the reference class? That is quite an extraordinary statement. I know such ideas exist but never seen any serious proponent. In comparison I think what I’m proposing is much more straightforward: If I employ first-person perspective and use introspection to identify me, or the “actual me” which is the only person there is to identify, then in this logic framework I am inherently unique. The only person in my reference class is me alone.
All discussion about days and months was to illustrate that despite my uniqueness, my properties (which are not relevant for knowing about DA) still look randomly chosen from the set of all available properties. In other words, my month of birth and the fact that I know about DA are “mutually random” variables. It is mostly the same for the year of birth, but here it is more complicated, as not all years are fit for random picking, but those which are after 1800 approximately.
For example, if I know that you birthday is in 8th month of year, but I don’t know the total number of months in a year, I could estimate that with 50 per cent probability the year has 16 month, which is very close to real value of 12. My birthday in in 9th month, so it will be 18 months estimation.
Yes, I think that the most correct referent class is the class of those who knows about DA. This implies the “end” soon, in the decades. I have a large text which overview this and other my ideas about DA here.
Guessing the number of months by my birthday is essentially treating me as an sample. It is a valid method because if we take the birthdays from a large number of people then the estimation would converge on the true value. However in this logic framework no individual is inherently unique. Everyone belongs to the same reference class. So here we shouldn’t use the concept of first-person me, or actual me, which automatically stands out from all others. Instead each individual, including myself, shall be treated equally and be specified from a third-person perspective by features. And as I have argued previously Doomsday Argument do not work if the individual is specified by features. It requires the use of first-person me and treat it as an ordinary number of a false reference class.