Is zero even or odd?

Discussion in 'Electronic Design' started by Gactimus, Dec 20, 2004.

1. Alfred Z. NewmaneGuest

What in the sam-hell are you on? Thats what I've /BEEN/ saying, ya
trollimous maximus;

I've been saying it's undefined.

"Will someone please put this retard out of his misery." -Eric Cartman

2. vonroachGuest

Then there was the trifle of your ambiguous apple question or should I
say troll.

fascinating!

4. crzndogGuest

Maybe it's nothing!

5. Alfred Z. NewmaneGuest

I never asked the apple question, that was someone else. No wonder
you're so mixed up, you can't even put a statement with the correct
name!

6. Earle JonesGuest

*
Zero is even.

1. It is divisible by two without a remainder.
2. It occurs between two odd integers.

earle
*

7. Alfred Z. NewmaneGuest

Exactly. And if I may expand on that:

Remember that:
even + even = even (eg: 2 + 4 = 6)
and
odd + even = odd (eg: 2 + 3 = 5)
and
odd + odd = even (eg: 3 + 5 = 8)

Consider:
0 + 2 = 2
- Even result, so zero must be Even; e+e=e rule.
But:
0 + 1 = 1
- Odd result, so 0 cannot be odd.
- Follows the e+o=o rule, again showing 0 must be Even.

8. George CoxGuest

What's that? Guess (on the basis that they're both GTM): Kelley's
General Topology or Halmos's Measure Theory.