Material conditional

Material conditional: A truth-functional sentence formed by connecting two sentences by ‘if’ and ‘then’; such sentences are false if and only if they have true antecedents and false consequents.

Source: What is Good? What is Bad? The Value of All Values across Time, Place and Theories’ by John McMurtry, Philosophy and World Problems, Volume I-III, UNESCO in partnership with Encyclopedia of Life Support Systems: Oxford, 2004-11.