Rob Bayer Math 55 Worksheet June 24, 2009 Instructions • Introduce yourselves! Despite popular belief, math is in fact a team sport! • Find some blackboard space, a piece of chalk, and decide who will be your ﬁrst scribe. • Do the problems below, having a diﬀerent person be the scribe for each one. • Try to work out the problems as a group, but feel free to ﬂag me down if you run into a wall. Rules of Inference 1. Determine what conclusions, if any, you can draw from each of the following sets of premises: (a) “All athletes watch professional sports,” “Alice is an athelete” (b) “All athletes watch professional sports,” “Bob watches professional sports” (c) “All athletes watch pro sports,” “Everyone who watches sports likes pizza,” “Charlie doesn’t like pizza” (d) “All athletes watch sports,” “Dan isn’t an athelete” 2. What’s wrong with each of the following arguments? (a) Every CS major takes discrete math. Alice is taking discrete math. Therefore, Alice is a CS major.
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