logical implications

Logical implication is a relationship between statements where one statement (the conclusion) necessarily follows from another statement (the premise). If the premise is true, then the conclusion must also be true. Think of it as a logical connection: given certain facts or assumptions, a specific outcome or statement must be true based on those. For example, if "All humans are mammals" (premise) and "Socrates is a human" (additional premise), then "Socrates is a mammal" (conclusion) logically follows. It’s about ensuring consistency and valid reasoning in making conclusions from known information.