Consequence relations

Consequence relations describe the logical connection between statements, meaning if certain premises are true, then a particular conclusion must also be true. Think of them as rules that determine which conclusions logically follow from given facts or assumptions. For example, if "All humans are mortal" and "Socrates is human," then the conclusion "Socrates is mortal" is a logical consequence. These relations help us understand how beliefs, arguments, or pieces of information are connected, ensuring that reasoning is consistent and valid within a set of premises.