When Nerds Collide: Grammatical and Mathematical Geekery

I stumbled upon this exchange while double-checking something on hyphen use. The full debate is here:

@whoa: It is relevant in that it was an example of where dozen isn’t really considered a number: All of math. 2 * 6 = 12 When choosing to write it out, you would write “two times six equals twelve” not “two times six equals dozen.” You could say “two time six equals a dozen” but now you have an article in there. If you feel comfortable calling that a number, so be it. I was just pointing out that it may be misleading to consider dozen the same kind of number as twelve much like a six isn’t the same “kind” of “number” as six or 6. –  MrHen Jul 26 ’11 at 22:35
@mrhen, That’s preposterous. “Jimmy has a dozen eggs, he gives Sally half, how many does he have left?”. Answer: 12 * 1/2 = 6. According to your logic, ‘half’ wouldn’t be considered a number either? A dozen is a real number, even in Math… –  whoabackoff Jul 26 ’11 at 22:50
@whoa: I am simply trying to point out the difference between dozen and twelve with regards to their qualifications for the label “number”. There is a difference and just calling dozen a “number” may be misleading. And yes, it would be just as misleading to refer to “a half” as a number. Or “a whole” or “first”. Do they technically qualify as numbers? You tell me. My point is that even if they do, there is a difference between those and numbers like 9, 10, pi, i. –  MrHen Jul 26 ’11 at 23:02
@whoabackoff: So, according to your definition of number, pair times pair times few equals dozen? Nevermind that you are ignoring the fact that pair, few, dozen, score, hundred, gross, etc. are commonly used as units of measure. –  Patrick87 Jul 27 ’11 at 1:05
Did you read the Wikipedia article? Clearly I’m not the only person alive who thinks calling “dozen” a “dimensionless unit of measure” is acceptable. If you accept this Wikipedia page to be at all authoritative, I don’t see how you can come to any other conclusion than that you are incorrect in this matter. –  Patrick87 Jul 27 ’11 at 15:13