Converse

Converse statements are the reverse of conditional statements. The term ‘converse’ itself refers to reversed conditions. These statements are used to justify whether the statements converse of conditional statements have the same outcomes or not. In simpler words, these statements swap their hypothesis (conditions) and conclusions (results) for interpretations. 

Converse statements are a type of logical statements, which are the foundations of logical maths. 

About Converse Statements

Converse is defined as the statement or condition, which is the outcome of inversing the two elements or conditional statements. In the conditional statements (if-then), the converse switches the if/then (hypothesis and conclusion) conditions. The converse statements are a branch of logic statements. Before moving further, look at what precisely the logic statements are.

Logic statements

In mathematics, a logic statement is also called a proposition. Logic is the study of inference, and the method of getting implications from reality is termed inference. Logic statements are a specific type of implication, and those are assertions that may or may not be true. The truth or falsity of a logic statement can be determined by examining the statement’s premises and using logic to determine whether the premises support the conclusion.

Converse statements: Explanation

Moreover, converse statements can be represented by an arrow between a condition and outcome. For the inference, Conditional: If P → Q; Converse: Q → P, where P is the hypothesis and Q is the conclusion. These statements are conditional and comprised of two elements – hypothesis and conclusion. ‘If’ represents hypothesis while ‘then’ represents conclusion. Converse is a reversionary form of any aspect or statement. The converse of any argument is also similar to other conditions, including contrapositive and inverse. This can be understood further in the article. 

For instance, we know the meaning of a symmetrical triangle well: In the event that every one of the three sides of a triangle is equivalent, the triangle is symmetrical. Moreover, the opposite of the definition is valid. The chance that a triangle is symmetrical, each of three of its sides is equivalent. As a result, the converse seems to be a crucial factor in determining the validity of a concept. With the help of this information, you get an idea about the converse and how the concept interchangeably relates with the inverse.

Properties of Converse

An inverse assertion is one that is derived by inverting the premise and inference of a conditional statement. These statements are opposite to each other, just like inversions. The converse and inverse are systematically related to one another, even though they are not conceptually identical to the original predicate.

The inverse of a definite or implicational assertion is the outcome of inverting its two distinct assertions in deductive logic. For example, the converse of the implication ‘P – Q’ is ‘Q – P’. The inverse of the category assertion ‘All M are N’ results in ‘All N is P’. In any case, the reality of the converse is usually unrelated to the truth of the original assertion. The opposite, ‘All mammals are cats’, is manifestly untrue for the A statement ‘All cats are mammals. The weaker statement ‘Some mammals are cats’ is, nonetheless, correct.

Converse Statements Examples

The converse statements are not factual in all instances, and the outcomes vary from statement to statement. Here are some examples of converse statements.

• If it is Christmas, then it is a holiday. 

Converse – If it is a holiday, then it is Christmas. (False)

• If there’s a seat of one person in the class, then only one person can sit on the seat.

Converse – If only one person can sit on a seat, then there’s only one seat in the class. (True)

• If an angle is measured more than 90 degrees, then it is obtuse. 

Converse – If an angle is obtuse, then the angle would have measured more than 90 degrees. (True) 

• If the hard disk of the PC is full, then there would be no space for any files.

Converse – If there is no space on the PC for new files, then the hard disk of the PC would be full. (True)

• If it’s a forest area, the region experiences heavy rains.

Converse – If the region experiences heavy rains, then it’s a forest area. (False)

Conclusion

We have covered all the necessary aspects of converse statements from all the above. We can now say that converse statements are the statements in which the hypothesis and conclusions swap their positions to determine a similar outcome. The hypothesis is represented by ‘if’ in statements, whether the ‘then’ depicts their conclusions. Primarily, converse statements are logical math. Though, they are majorly used to prove the logic behind calculations and interpretations and used in data science.