Talk:Parity of zero

Argue why 0 (zero) is neither odd nor even

Numbers parity:

• Any number, except zero, multiplied twice, is an even number.
• A pair has two elements.

Demonstration:

• One multiplied twice, result is a pair.
• A pair has two elements.

• Two multiplied twice, result is two pairs.

Zero exception:

• Zero multiplied twice, resulting zero pairs.
• Zero pair has zero elements, therefore:

Conclusion:

• The smallest odd number is one.
• The lowest even number is two.
• The number zero is neither odd nor even.

The classic definition:

necessary condition,

(NOT SUFFICIENT CONDITION,)

to determine whether a number is even,

to be divisible by two.

Source: Zero by gvitalie

A lot of people on the internet, adopted the idea "zero is even". Zero isn't even. I'll provide a better demonstration, to elucidate this misunderstanding.

• A pair has two elements.
• Any number that divides to two without remainder, and contains at least one pair of elements is called even number.

Zero divided two times, the result is zero pairs and zero remainder.

• Zero pairs - so zero not an even number
• Zero remainder - so zero not an odd number

Conclusion:

• The number zero is neither odd nor even.
• The number zero is not odd.
• The number zero is not even. --Gvitalie (talk) 09:13, 31 July 2015 (UTC)

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• The whole of this is inappropriate content. It is off-topic on an article talk page. "An article talk page is for discussing how to make the article better. It is not for talking about the topic of the article": see WP:Talk page. Macdonald-ross (talk) 09:42, 31 July 2015 (UTC)