There is a 30's axiomatization of the probability concept via random sequences Richard by von Mises, to rival Kolmogorov approach. While Mises' Wikipedia article mentions this in a sentence, it today has faded into obscurity. But it's not too difficult to connect the two to a good degree, and it might formalize a sense to move back to chance in your sense: If Q are the rationals and X resp. S denote the event space resp. sigma algebra, then any sequence s:N->X can be transformed to the sequence avg_s:N->(S->Q) defined as (avg_s)_n := A \mapsto | {k
There is a 30's axiomatization of the probability concept via random sequences Richard by von Mises, to rival Kolmogorov approach. While Mises' Wikipedia article mentions this in a sentence, it today has faded into obscurity.
But it's not too difficult to connect the two to a good degree, and it might formalize a sense to move back to chance in your sense: If Q are the rationals and X resp. S denote the event space resp. sigma algebra, then any sequence s:N->X can be transformed to the sequence avg_s:N->(S->Q) defined as
(avg_s)_n := A \mapsto | {k
As usual, it looks like there is much more to learn out there. 😅
The blessing and curse of being a human.
I like that hoodie.
It is a fun hoodie.
I love measure theory
It’s great!