👉 Blind math, also known as proof by contradiction, is a method of mathematical reasoning where one assumes the opposite of what they wish to prove and then demonstrates that this assumption leads to a logical contradiction. This contradiction implies that the initial assumption must be false, thereby proving the original statement true. For instance, to show that the square root of 2 is irrational, one might assume it is rational (i.e., can be expressed as a fraction a/b where a and b are integers with no common factors), derive a contradiction from this assumption, and conclude that the square root of 2 cannot be rational. This technique is powerful because it allows mathematicians to prove the truth of statements without explicitly constructing the object or process in question, relying instead on logical consistency.
