compound proposition
created by connecting individual propositions with logical operations
A compound proposition is a statement that is made up of two or more simpler statements, which are called component or atomic propositions, combined using logical connectives such as and, or, if-then, or if and only if. The purpose of creating a compound proposition is to express more complex ideas and relationships between ideas.
For example, It is raining and the sun is shining is a compound proposition that is made up of two simpler propositions, It is raining and The sun is shining, connected by the logical connective and. The truth value of the compound proposition depends on the truth values of its component propositions according to the rules of the logical connective used.
It is important to be able to recognize compound propositions in order to be able to analyze them and draw conclusions based on their truth values. In addition, being able to break down complex statements into their component parts is a useful skill for clear and effective communication.