MATH 301 Homework 2 - Math 301, Homework 2 …rst draft is...

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Math 301, Homework 2 1. A librarian decides to make a catalogue of all the books in his library that do not contain the name of the book in the text (except for the title pages of course!). He names this catalogue " Complete list of all books in my library that do not contain their names ", publishes it and gets one copy in his library. Will this catalogue include " Complete list of all books in my library that do not contain their names " in its list? k; let P k ( N ) be the set (collection) of all subsets of N with exactly k elements. Prove that P k ( N ) is countable. Hint: Find a 1-1 map from P k ( N ) into N k = N N ::: N ( k times). 3. A famous Polish author Stanislaw Lem wrote a story about an intergalactic .. The narrator
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This note was uploaded on 06/25/2010 for the course MATH MATH 301 taught by Professor Alberterkip during the Fall '08 term at Sabancı University.

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