👉 "Evil math" is a term used to describe the dark and unsettling aspects of mathematical concepts that seem to defy intuition or ethical norms. One common example is the Banach-Tarski paradox, which states that a sphere can be divided into a finite number of non-overlapping pieces and then reassembled into two spheres, each the same size as the original. This seems to defy our understanding of volume and space, making it appear almost magical or even absurd. Another example is the concept of non-standard analysis, which introduces infinitesimals—quantities smaller than any positive real number but not zero—that can lead to counterintuitive results, such as the sum of an infinite series being finite. These ideas challenge our everyday perceptions and can feel unsettling, as they reveal the limitations and complexities of mathematical reasoning, sometimes leading to a sense of unease or discomfort.
