Infinity. Several things we said in class:
Consider a segment of length 1 mm. Then consider a line of infinite length in both directions. There is a one-to-one correspondence between each point on the segment and each point on the line. Yep, there's the same number of points on the segment (infinite) as there is on the line (infinite).
Let's say you are the proprietor of a hotel with an infinite number of rooms. You have the good fortune of having all rooms rented. Yet when a new customer walks in the door and asks about lodging for the night, you say, "Why yes, of course, I have space for you...." There's a variety of ways that can happen, but the solution requires involvement with infinity.
We can also use infinite sets in calculating probability. The example given in class: If a Natural Number is chosen randomly, what's the probability that the number will be a multiple of 8? (1/8).
Do these examples blow your mind? Find another story about infinity and write about it in your post. Have fun; include jokes if you'd like. But the jokes must have some kind of foundation or understanding or exploration of the infinite.
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