Wikipedia: "List of Rules of Inference"

Read over the text from Wikipedia on rules of inference. Rules of inference are used to show that one statement is a consequence of another statement and, thus, are used for constructing proofs. The summary table is located before the truth table and the examples. The Rules of Inference are referred to by names in the 3rd column in the table. In this course, alternate names are also used. Those that have corresponding alternate names are listed in the following table:

 Wikipedia Name

 Alternate Name

 Disjunction

 Generalization

 Conjunction

 Specialization

 Elimination

 Generalization

 Modus Ponens

 

 Modus Tollens

 

 Hypothetical Syllogism

 Transitivity

 Disjunctive Syllogism

 Disjunctive Elimination

 Resolution

 Elimination