Unformatted text preview: (P3) (3 points) Consider a sequence a ,a 1 ,a 2 ,... with the a i ∈ { , 1 } . (a) Write the sequence as a family. Be sure to specify (i) the index set, (ii) the codomain, (iii) the function itself. (b) What part of your answer would change if a i ∈ A for some set A 6 = { , 1 } . Ideas (I1) (3 points) In view of the other questions on this homework, why do you think we use the notation Y X and X × Y for the set of functions and the cartesian product respectively. Discuss. (I2) (25 points) What do you think of the axiom of choice? Is it a good axiom? Is it a useful axiom? 1...
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 Spring '11
 RWK
 Math, Natural number, Total order

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