The book in question is called "The Disc Embedding Theorem" (https://global.oup.com/academic/product/the-disc-embedding-t...)

This is in response to the trending list of fallacies: https://news.ycombinator.com/item?id=25967160

I agree that the book links are sketchy, though it's not clear if the authors are affiliated with this site.

You can always fall back to Wikipedia's extensive list of fallacies: https://en.wikipedia.org/wiki/List_of_fallacies

It sounds like you are arguing that i.i.d. frequentism doesn't work. I view AIT as generalizing frequentism to non-i.i.d. timeseries. This is formalized as Martin-Lof tests for randomness, and Solomonoff induction.