The correct answer is C. Generalized Modus Ponens.
Modus ponens is a valid deductive argument form in propositional logic. It is one of the most important argument forms in logic, and it is often used in everyday reasoning.
Modus ponens is a rule of inference that states that if P implies Q, and P is true, then Q must also be true. This can be written as follows:
P â Q
P
â´ Q
For example, if we know that “If it is raining, then the ground is wet,” and we also know that “It is raining,” then we can conclude that “The ground is wet.”
Generalized modus ponens is a more general
form of modus ponens. It states that if P implies Q, and R implies S, and P and R are both true, then Q and S must also be true. This can be written as follows:P â Q
R â S
P, R
â´ Q, S
For example, if we know that “If it is raining, then the ground is wet,” and we also know that “If the ground is wet, then the grass is slippery,” and we know that “It is raining,” then we can conclude that “The ground is wet and the grass is slippery.”
Ponens, clauses, variables, and generalized modus ponens are all important concepts in logic. However, only generalized modus ponens is a process of capturing the inference process as a single inference rule.