Date: Dec 14, 2012 5:17 PM
Author: Jonathan Crabtree
Subject: Re: The Chinese man who gave 'proof' zero is a number in Istanbul...

[Please have a look at the attached photo.]

Could this unusual picture become a demonstration of basic set theory?

What if this 'hole' was filled slice by slice from left to right, like slices of jelly?

The empty pool. { }

The first numbered lane is zero {0}

The second numbered lane is one {0, 1}

Daaaave^ said this about such an occasion.

"One of the first things i noticed. The outside lanes looked choppy from the stands, and the ladder looks like it is up in your business.

I would sure rather be seeded 31st and in lane 4 of heat n-minus-3 than seeded 30th and in lane 9 of heat n.

(you guys like how I dropped some algebra in there?! Aww yeah. #math)"

^ Source: http://swimswam.com/2012/06/no-outside-laneropes-in-prelims-of-the-olympic-trials/

So is the set empty when there is no water or no swimmers?

Does the 'set' contain empty or missing things when only lanes 1-8 are used in the finals?

Why aren't the lanes just named 1 to 10?

How many ropes are required for races? (Like the fence post lesson.)

Width of lanes etc etc

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Is anybody interested in 'refining' the above and suggesting some cool lesson plan ideas around the attachment?

It never occurred to me there was a lane zero in swimming as this was the first time I ever saw the heats. Up until now I only ever saw lanes 1 - 8 on television.

NOTE: None of the commentators mentioned any algebra or set theory!