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Since x is even (i.e., divisible by 2), its --word-- is true.
Since y is odd, y's --word-- is false.

The description suggests 'moddity', but there was another word for it...

BTW, I don't know if I should've asked this on Math on SE, so sorry if this violates this site's FAQ (my first question here).

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closed as too localized by Jasper Loy, kiamlaluno, Mark Beadles, MετάEd, tchrist Aug 26 '12 at 15:21

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I don't understand the question. Do you mean only divisible by 2? The title doesn't say this. – Urbycoz Aug 20 '12 at 9:59
The property of being divisible by X is called divisibility by X. – RegDwigнt Aug 20 '12 at 10:06
@RegDwightАΑA No, there was another "boolean" word, i.e., it could be true or false – YatharthROCK Aug 20 '12 at 10:09
Divisibility by X is boolean. It is or isn't divisible by X – Matt E. Эллен Aug 20 '12 at 10:13
@YatharthROCK: There's a question here that talks about that... – J.R. Aug 20 '12 at 10:53
up vote 3 down vote accepted

While I don't believe that it's an exact fit, you can consider the word, parity:

In mathematics, the parity of an object states whether it is even or odd.

Wiktionary also provides an example:

(mathematics, countable) A set with the property of having all of its elements belonging to one of two disjoint subsets, especially a set of integers split in subsets of even and odd elements.

Parity is always preserved in such operations.

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<astonishment> Why, yes, I was thinking of parity! – YatharthROCK Aug 20 '12 at 14:11
Thanks, it feels good to finally be able to scratch that itch (was that correct usage BTW?) :) – YatharthROCK Aug 20 '12 at 14:12
@YatharthROCK You're welcome and yes, your usage is fine. – coleopterist Aug 20 '12 at 14:57
@JasperLoy Well, my memory was quite fuzzy... – YatharthROCK Aug 20 '12 at 15:19

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