Page 9 - 091math-wb-w3-(sets)

WORKBOOK

II- One more example
2
2
2
Consider the set S = {1 , 2 , 3 , …}, the set of the squares of the positive integers. Similar to the
example above, the sets S and the set of counting numbers can be placed into a one-to-one
1  1 2
2  2 2
correspondence with the pairing: Galileo (1564-
3  3 2
Galileo (1564-
1642) first
... 1642) first
observed this.
However, the elements of S also belong to counting numbers. observed this.

Can you solve the Infinite Hilbert’s Hotel Paradox?
A hotel has an infinite number of rooms, all of which are booked.

How can you make sure that a new guest gets a room? What about
a bus full of infinite new quests?

Answer: https://www.youtube.com/watch?v=faQBrAQ87l4

FINITE – INFINITE SETS:

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9 091math-wb-w3-(sets)