Torin/Darren WhoEver (wolfieboy) wrote,
Torin/Darren WhoEver
wolfieboy

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given a number line

So, a friend of mine posted the following question:

OK, I'm imagining a number line. I put my positive zero and my negative zero on the same point, so they're equal. Where on the line do I put my positive and negative infinities?

The person in question is rather intelligent and I've had some good conversations with him in the past. So, I'm perplexed at how an intelligent person could ask such a question.

My answer ended up being:

If you put positive and negative zero at the center of your number line and any movement out from the center increases the magnitude of the number so represented. Since infinity is An unbounded number greater than every real number, then you would place positive and negative infinity off the ends of the number line on either side.
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