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Mathematics Magazine for Grades 1-12 |
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3/2004 |
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Whenever one finds him inclined to bitterness, it is a sign of emotional
failure. Grade 8
Theory:Logic - IF....,
THEN.... Compound sentences of the form "If P, then Q" can
perhaps be best understood as a promise. Truth for the whole compound sentence is decided on the
basis of whether you think the promise is kept. Here P and Q are themselves
sentences, each of which is true or false (but neither is both true and false) Think of the following promise: If there is an elephant in the library, then I'll give you
100 dollars. Suppose there really is an elephant in the library and I
give you 100 dollars. Then I've kept my promise and the whole
"if...then" sentence is true. Suppose there really is an elephant in the library, but I
don't give you any money. Then I've broken my promise and the whole
"if...then" sentence is false. Now suppose that there is no elephant in the library and I don't give you any money. I've kept my promise and the whole "if...then" is true. Proposed Exercises:Proposed By Diana Rosu –student grade 11 Brampton Calculate: 1
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