Monday, May 20, 2013

Parity of Zero

Did you know: As much as half the population doesn't know that zero is an even number? And that this can cause problems in cases like gas-rationing based on license plates' last digit (as happened here in NYC last fall after Hurricane Sandy).

http://en.wikipedia.org/wiki/Parity_of_zero


2 comments:

  1. 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:

    The number zero is neither odd nor even.

    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.

    Original link http://gvitalie.github.io/zero/

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    Replies
    1. Ha, that's pretty lunatic. I'll leave it here for laughs.

      Of course, the key gap is to leave a blank where the definition should go. Math is always about starting with a careful definition.

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