1. Recall that for sets x and Y , the ‘Cartesian product’ X × Y is the set of all pairs (x, y), with x ∈ X and y ∈ Y . [i] How many elements are in Z/3Z × Z/5Z? What’s the difference between this set and Z/5Z × Z/3Z? [ii] If it makes sense to add a and b, and it makes sense to add c and d, then it makes sense to add the pairs (a, c) and (b, d), by the rule (a, c) + (b, d) = (a + b, c + d) For instance, if we take (1, 2) and (2, 1) in Z/3Z × Z/5Z, then (1, 2) + (2, 1) = (3, 3) = (0, 3) Is the set Z/3Z × Z/5Z with this addition a group? Why? [iii] What happens if you add (1, 1) to itself repeatedly (that is, g

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your answer would be 12

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

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