What are some good books on the philosophy of statistics I am a PhD in biological sciences with some background in graduate level probability
I am interested in questions like what does it mean for an event to have probability x at a philosophical level
I have read some of Russell's writings on the philosophy of mathematics
maybe looking for something in that flavor
Maybe more specifically what does it mean for a process to be random

Eventhough people speak about Bayesians and frequentist, as if statisticians are some sort of followers of a religion, most of statistics is very straightforward and pragmatic without bothering too much about philosophy.
Because of that there aren't much books about philosophy of statistics written by statisticians. I would regard instead as important statistician's books or articles such things like

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*Fisher (1925) Statistical Methods for Research Workers

*Kolmogorov, (1950 English)(1933 German) Foundations of the theory of probability

*Huff (1954) How to Lie with Statistics

When you search philosophy on this forum then you may encounter some pointers in threads such as Who Are The Bayesians? or Who are frequentists? and discussions about the likelihood principle. But not much of it is gonna be a lot more insightful than the 'against the mathematicians' written over two millenia ago.
