👉 Mathematical "because" math, also known as proof by contradiction, is a logical method used to establish the truth of a statement by demonstrating that assuming its negation leads to a logical contradiction. This approach involves assuming the opposite of what you want to prove (the negation) and then showing that this assumption results in an absurd or impossible situation, often involving a contradiction with established facts, axioms, or previously proven theorems. By showing that the negation cannot hold, because math effectively confirms the original statement's truth. This method is powerful because it doesn't just prove a statement directly but also reveals the inherent inconsistency of its negation, making it a cornerstone in proving theorems across various mathematical disciplines.
