The tradition of writing Q.E.D. ("quod erat demonstrandum") at the end of a mathematical proof is the culmination of a long intellectual lineage that began with Pythagoras, evolved through Plato, Aristotle, Euclid, and Archimedes, and ultimately shaped the foundations of logical demonstration in mathematics. Each thinker built upon the ideas of their predecessors, refining the principles of proof, logic, and rigor that remain central to mathematics today.
Pythagoras and his followers were among the first to view mathematics as a philosophical pursuit, believing that numbers and geometric relationships governed the universe. They sought logical justification for mathematical truths, leading to the earliest systematic proofs in history. The Pythagorean Theorem exemplifies their approach, demonstrating how mathematical relationships could be established through reasoning rather than empirical observation. However