# Proper classification

1. Nov 20, 2005

### ghotra

Have I correctly classified these sets of numbers? I am trying to diagram algebraic, transcendental, irrational....etc, numbers. Please see the attached picture.
Thanks

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• ###### numbers.png
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Last edited: Nov 20, 2005
2. Nov 20, 2005

### ghotra

First correction: put the natural numbers ellipse completely inside the integers. The attachment has been updated.

Last edited: Nov 20, 2005
3. Nov 23, 2005

### ghotra

...comments?

Surely this isn't a difficult question.

4. Nov 23, 2005

### shmoe

naturals, integers, and rationals are contained in the reals by every definition I've seen (though there is the notion of the gaussian integers, it's field of fractions, etc). Irrationals can go either way, but the most common definition has them contained in the reals as well.

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