Theodoruslike

Theodoruslike is a term used to describe a specific type of mathematical problem or concept that shares characteristics with problems solved by Theodorus of Cyrene. Theodorus, an ancient Greek mathematician, is known for his work in geometry, particularly his proof that the square root of 2 is irrational. Problems considered "Theodoruslike" often involve exploring the irrationality or incommensurability of magnitudes, or investigating geometric constructions that lead to such discoveries.

These problems typically require a rigorous proof, often by contradiction, to demonstrate the nature of the quantities involved. They might involve sequences of numbers, geometric figures, or algebraic relationships where the standard tools of arithmetic or geometry prove insufficient without further abstract reasoning. The focus is on proving the existence of something that cannot be expressed as a simple ratio of integers.

While not a formal mathematical classification, "Theodoruslike" serves as an informal descriptor for problems that echo the spirit and methods of early Greek mathematicians grappling with the fundamental nature of numbers and space. It highlights a pedagogical or conceptual approach to understanding mathematical truths through foundational proofs and the exploration of non-trivial relationships.