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In [1] Bradley pointed out that it was superfluous for Copi to refer to the completeness and analyticity of RS to show that the method of deduction set forth in Chapter 3 of Symbolic Logic, 3rd ed. [3], is complete. Since in the 4th edition [4] Copi continues to make his proof of completeness depend upon the completeness and analyticity of RS, it seems worthwhile to give a proof which clearly stands on its own. To do this, it is necessary to formalize Copi's method of deduction. We will call the formalization CMD.* We will let the capital letters, with or without subscripts, from the earlier part of the alphabe't be the simple well-formed formulas in CMD and the capital letters, with or without subscripts, from the later part of the alphabet be variables in our meta-language which range over the well-formed formulas of CMD. The well-formed formulas of CMD are defined inductively in the classical way. Well-formed arguments have the form x —» Q, where x is the empty symbol or a well-formed formula of CMD. The intended reading of 'P-+ Q' is Q follows from P; the intended reading of x —* Q\ where x is the empty symbol, is Q follows from the empty premise, or Q follows from any premise. It will become evident that all of the theorems (and axioms) of CMD are well-formed arguments. The axiom schema for CMD areas follows, where 'hP Q' abbreviates <\-P~* Q and \-Q — PΊ