👉 Mathematics often involves counterintuitive concepts that defy everyday logic. For instance, the set of even numbers is infinite but has no greatest element; you can always add 2 to any even number, creating a larger even number. Another odd math concept is that there's an infinite number of prime numbers between any two consecutive integers, a result proven by Euclid. Additionally, the sum of the digits of a number is congruent to the number itself modulo 9, meaning if you add up all the digits of a large number, it leaves the same remainder when divided by 9 as the original number does. These examples illustrate how mathematical truths can sometimes contradict our intuitive understanding of the world.
