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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 11 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.
 Fall '08
 ALBERTERKIP
 Math

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