Conditional Statements
... However, a deductive structure, which was formed of four elements: Undefined terms, postulates, definitions, and theorems, cannot exist without conditional statements. Conditional statements, or implications, are the combinations of two statements in an if-and-then structure. ... In addition, these two parts of conditional statements are transposable. ... The three most general variations of conditional statements are by taking its inverse, converse, or contrapositive, and each of them are applied to the original statement to classify the truth and the falseness by using the negation and switching the order of the hypothesis and the conclusion. ... However, inverse statements do not necessarily have to be true. ... Even so, converse statements, parallel to the inverse, are not always true. ... The last variation of a conditional statement is the contrapositive. ... Ħħ The results will also be the same with any postulates or theorem statements. ... The three subcategories of conditional statements are inverse, converse, and contra-positive. ... Due to its importance and the variety of utilization throughout the world, it is very beneficial to know and understand the concepts of the conditional statements.