ELI5: Explain Like I'm 5

Implicational propositional calculus

Implicational propositional calculus is a way of reasoning using only if, then statements. It is a type of logic that lets you understand relationships between different statements.

Let's say you want to explain why you can't watch a movie - You can think of it as an implicational propositional, like this:

IF I am sick (statement 1),
THEN I cannot watch the movie (statement 2).

In this example, statement 1 is called the "premise" and statement 2 is called the "conclusion". The two statements are connected by the word "then", and this is what makes it an implicational propositional.