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Answer:
An argument is a sequence of statements ( premises ) that ends with a conclusion. A valid argument is one where the conclusion follows from the truth of the premises.
Chain Argument / Syllogism: (p→q)∧(q→r)⇒(p→r)(p→q)∧(q→r)⇒(p→r)
Modus Tollens / Indirect Reasoning: (p→q)∧¬q⇒¬p(p→q)∧¬q⇒¬p
Disjunctive Simplification: (p∨q)∧¬p⇒q(p∨q)∧¬p⇒q and (p∨q)∧¬q⇒p(p∨q)∧...
Biconditional Equivalences: (p↔q)⇔(p→q)∧(q→p)⇔(p∧q)∨(¬p∧¬q)(p↔q)⇔(p→...