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Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.
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PhD student Daniel Kreuter tells us about his work on the BloodCounts! project, which uses maths to make optimal use of the billions of blood tests performed every year around the globe.
The infinity symbol is defined loosely as "a very large number" and is not treated as a value. You can't multiply it, you can't divide it, you can't add other infinite values to it. If you create a new symbol which does behave naturally you get a much better mathematics which doesn't suffer from the metaphysical rubbish like mapping (bijection) a set of order O(N) to a set of order O(N²).
Here is a more useful set of tools to work with infinity: http://lesliegreen.byethost3.com/articles/new_maths.pdf