hello, all. first post around here =^.^= I've been working my way through the core sequences, slowly but surely, and I ran into a question I couldn't solve on my own. please note that this question is probably the stupidest in the universe.

what is the difference between the Bayesian and Frequentist points of view?

let me clarify: in Eli Yudkowsky's explanation of Bayes' theorem, he presented an iconic problem:

"1% of women at age forty who participate in routine screening have breast cancer. 80% of women with breast cancer will get positive mammographies. 9.6% of women without breast cancer will also get positive mammographies. A woman in this age group had a positive mammography in a routine screening. What is the probability that she actually has breast cancer?"

to my understanding of the Bayesian perspective, the answer would be 7.8% and would represent the degree of uncertainty that the subject has breast cancer

to my understanding of the Frequentist perspective, the answer would be 7.8% and would represent the frequency of subjects that both have cancer and tested positive.

a keen observer will understand where my confusion comes from- on my way through the core sequences, I have heard much from the Bayesian side, but nothing from the Frequentist side, making it seem artificially non-existent.