In this post, we are going to examine the structure and truth table of the conditional statements or if-then statements. If-then statements are used often in mathematical proofs as well as real-life conversations. But before that, let us understand what proposition means.
A proposition is a declarative sentence that is either True (T) or false (F) but not both. If-then statements are composed of two propositions.
Let us consider the following statement by a father to his son.
“If you get an A in Calculus, then I’ll buy you a laptop.”
We can split this statement into two propositions p and q as follows. Continue reading…