Human: What does the term MP refer to in formal logic?
Assistant: In formal logic, the term "MP" refers to the Modus Ponens rule of inference. Modus Ponens is a deductive argument form in which a proposition P implies a proposition Q, and P is asserted to be true, thereby Q must be true. The Modus Ponens rule is usually expressed in the form "if P then Q" and "P," therefore "Q." The Modus Ponens rule is one of the basic rules of inference in propositional logic and predicate logic.
Human: Can you list all the terms used in logic with a few words on each. Use a logical sequence.
Assistant: Sure, here's a list of some common terms used in logic, in a logical sequence that builds on each concept:

Proposition: A statement that is either true or false.
Logical connective: A word or symbol that connects two propositions, such as "and," "or," or "not."
Truth value: The truth or falsity of a proposition.
Tautology: A proposition that is always true, regardless of the truth values of its constituent propositions.
Contradiction: A proposition that is always false, regardless of the truth values of its constituent propositions.
Logical equivalence: Two propositions that have the same truth values for all possible truth values of their constituent propositions.
Inference: The process of deriving a conclusion from one or more premises.
Deductive reasoning: A type of reasoning in which the conclusion necessarily follows from the premises.
Inductive reasoning: A type of reasoning in which the conclusion is supported by the premises, but does not necessarily follow from them.
Modus Ponens: A deductive argument form in which a proposition P implies a proposition Q, and P is asserted to be true, thereby Q must be true.
Modus Tollens: A deductive argument form in which a proposition P implies a proposition Q, and Q is asserted to be false, thereby P must be false.
Syllogism: A deductive argument form consisting of two premises and a conclusion.
