I began this series of posts with the following statements. LOGIC is divided into two branches: Inductive, Deductive Deductive reasoning is the only form of logic that is permitted in mathematics. Every question in mathematics MUST be answered by using deductive reasoning. Although inductive reasoning is not an acceptable form of logic in mathematics, it

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# Rules for Deductive Reasoning – Syllogism in Mathematics

A less precise, but correct, statement of The Transitive Property of Equality which is quite useful for constructing mathematical models is: It two expressions represent the same quantity, the two expressions must be equal. The key to every “word” problem, or “application” problem, or “modeling” problem is this interpretation of the The Transitive Property of