logic_handout - August 29, 2007 Math 366-Logic Handout In...

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August 29, 2007 Math 366—Logic Handout In mathematics, it is very important to be able to show that something is correct. This occurs even in elementary school when one shows that six five’s is the same number as five six’s, or that one piece of a pie split 4 ways is the same value as two pieces of a pie split 8 ways. For children it often suffices to draw a picture of a six by five rectangle or of a pie and visually demonstrate the equivalence of the pairs of values. Even in elementary school one still encounters concepts which may be a bit difficult to visualize. For example, how many times does 2 2 3 go into 5 3 4 ? If we deal with unknown quantities, the infamous x of algebra fame, we get into even more trouble. This is what makes formal reasoning important. Geometry is a good place to introduce formal reasoning (or logic), in that it is both quite visual and (believe it or not) quite practical. People who use geometry on a daily bases include engineers, graphics designers, scientists, carpenters, architects, pilots and soldiers. People using logic would include lawyers, computer scientists, physicians, and voters. There is every reason to introduce both geometric and logical concepts at a young age in order to
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This note was uploaded on 03/29/2008 for the course MATH 220 taught by Professor Any during the Spring '08 term at Texas A&M.

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logic_handout - August 29, 2007 Math 366-Logic Handout In...

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