👉 In mathematics, a postulate is a statement that is assumed to be true without proof. The term "postulated" is used when a mathematical principle or theory is stated as a given truth without any attempt to prove it through demonstration. For example, in Euclidean geometry, the postulates are: (i) A straight line segment can be extended indefinitely on either side; (ii) Two distinct points determine a line; and (iii) The sum of two rational numbers is also a rational