Niave Set Theory and Sequences

Read sections 2.1 and 2.2 from our textbook. As you’re reading note your answers to the following questions. Once you’ve finished, find the relevant assignment on Gradescope and submit your answers to these questions. In Gradescope, you may choose to type your answers directly, or upload a file containing your answer.

 

  1. Translate the following mathematical expression into a English sentence. Your sentence should not have any mathematical notation (such as <).
  2. Suppose X = {a,b,c,d} and Y = {e,f,g}.
    • What is the cardinality of ?
    • What is the cardinality of ?
    • What is the cardinality of?
  3. What is the answer about the socks at the end of section 2.1.3? How few socks can we select while guaranteeing there is a matching pair in the selection?
  4. What is the difference between a set and a sequence?
  5. What is meant by ?
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