>>12682597Statistics is not part of the mathematics in my opinion. It is usually classified as 'applied math' but I think it's a thing on its own. In fact, it originated as 'the science of the state' with the collection of census data and whatnot.
Statistics relies on the theory of probability, which is itself a very weak construction. If you look into the history of probability, you'll find out that nobody has ever been able to define what it is. Kolmogorov created a foundation based on axioms, but that doesnt really mean much (an axiom is for example that probability has to be a number between 0 and 1). This is because probability, unlike say geometry for example, is a human construction to deal with uncertainty, which itself derives from imperfect information....events dont take place based on some 'probability'; they either take place or they dont. I personally believe the world is deterministic.
This is not to say that stats cant be useful though. I think it can be very useful.