# 0 and {1, 2, 3, …}

## is the set of WHOLE NUMBERS.

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• Chris Thompson  On February 9, 2014 at 9:11 PM

• vinaire  On February 9, 2014 at 9:15 PM

No. Imaginary numbers are not real.

• vinaire  On February 9, 2014 at 9:13 PM

But zero is unique. It is not like the counting numbers.

Zero adds an abstract aspect to the numbers.

Zero cannot be defined quantitatively.

Qualitatively, zero may be used as a reference point.

But, zero can have any number of qualities.

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• Chris Thompson  On February 9, 2014 at 9:14 PM

Why is 0 not placed inside the brackets of the set of whole numbers?

• vinaire  On February 9, 2014 at 9:18 PM

0 and {1, 2, 3, …} = {0, 1, 2, 3, …}

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• MarkNR  On February 9, 2014 at 11:51 PM

The philosophy of mathematics can get a bit circular, (empty set) but the principals of arithmetic are invaluable to logical thinking.

• vinaire  On February 10, 2014 at 5:53 AM

A SET is a collection of items. When there is no item in a set then it would be an empty set.

But when a set contains 0 as a number, 0 is looked upon as an item. A set containing 0 is not an empty set.