‘Mathematical information’ explores mathematical approaches to investigating information. The Mathematical Theory of Communication (MTC) is the most important of these approaches, and aims to devise efficient ways of encoding and transferring data. The MTC does not take meaningfulness into account, so the same answer to two different yes/no questions will yield the same results, regardless of the size or importance of the questions' subjects. Information is also subject to entropy in the MTC. The higher the potential randomness in an information system, the more information can be produced.