Definition: Number theory is a branch of pure mathematics devoted to the study of the natural numbers and the integers. It is the study of the set of positive whole numbers which are usually called ...
We proved that all the usual things are equivalent to the axiom of choice: Zorn’s lemma, the well ordering principle, cardinal comparability (given two sets, one must inject into the other), and the ...
For other uses, see Chaos theory (disambiguation). Sensitivity to initial conditions means that each point in a chaotic system is arbitrarily closely approximated by other points that have ...