Second-order Propositional Logic is a way of talking about things using logic. It is like having a language that is made up of simple rules that allow you to talk about situations in a very precise way. In this language, you can talk about things like how two things are related, how many things there are, and what happens when something changes. To understand this language, you need to understand what a "proposition" is. A proposition is a way of talking about a certain idea or situation in a way that is very precise. Then, when we use second-order propositional logic, we take a step further and look at how the different propositions relate to each other. For example, if I have the two propositions 'All cats are black' and 'All cats have four legs', then it is possible to use second-order propositional logic to say that these two propositions are related.