Wednesday, January 7, 2009

Mathematics

I taught Mathematics for 35 years. In Mathematics it is important that there are some facts that are true. Euclid called these axioms. From these axioms he went on to prove his propositions. In mathematics there are two ways of proving a theorem or an hypothesis. The first is through deductive reason which starts from true statements such as Euclid's axioms and builds upon those facts. The other way is inductive reasoning which begins with an hypothesis. You then show that if this hypothesis is assumed true for a certain step, such as the Kth step that it implies that it must be true for the (K + 1)st step. Now all you need to do is prove that it is true for step 1, then the hypothesis must be true for step 2, step 3, etc. Whether you use inductive or deductive proofs you still need truth. Today truth is attacked at all levels but imagine teaching mathematical proofs without truth. The knowledge about God is based upon truth, the truth that God exists and that He has made Himself known through His Son Jesus Christ.

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