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**Nithya****Guest**

whether the statement is true or false " ZERO IS THE SMALLEST EVEN WHOLE NUMBER"

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,525

That statement is false.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,676

Hi;

There is no smallest even or odd integer. Welcome to the forum.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,393

hi Nithya

welcome to the forum.

Check out this link:

http://www.mathsisfun.com/whole-numbers.html

That makes the statement TRUE.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,525

Hi Bob

The Wiki page also includes the while set of inetegrs as a possible interpretation of the phrase 'whole numbers', thus the confusion.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,676

Hi;

Yes, in some interpretations the whole numbers and the integers are the same. The question is ambiguous.

This is the best explanation I could find:

One of the numbers 1, 2, 3, ... also called the counting numbers or natural numbers. 0 is sometimes included in the list of "whole" numbers (Bourbaki 1968, Halmos 1974), but there seems to be no general agreement. Some authors also interpret "whole number" to mean "a number having fractional part of zero," making the whole numbers equivalent to the integers.

Due to lack of standard terminology, the following terms are recommended in preference to "counting number," "natural number," and "whole number."

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,393

Once again, we stumble on the issue of a definition. There is no one reliable dictionary of mathematical terms. That's why I looked on MIF. Obviously, I am happy to take that as the best source of information.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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