3.2.4 Rules 3 & 4 Modus Ponens and Modus Tollens

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Two simple Rules of Inference, Modus Ponens and Modus Tollens, are introduced.
  1. Baruch Logic
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1. affirming the antecedent (Modus Ponendo Ponens)
if ((if p, then q) & p) then q
2. denying the consequent (Modus Tollendo Tollens)
if ((if p, then q) & not q) then not p
3. disjunctive syllogism (Modus Tollendo Ponens)
if ((p or q) and not q) then p;
if ((p or q) and not p) then q
4. conjunctive syllogism (Modus Ponendo Tollens)
if ((not both p and q) & p) then not q;
if ((not both p and q) & q) then not p
5. fallacy of the converse or "affirming the consequent"
if (( if p then q) & q) then p
6. fallacy of the inverse or "denying the antecendent"
if (( if p then q) & not p) then not q.
PS i love mediaeval latin

rupertbear