Is zero even or odd?

John Fields wrote:

That's not true. A prime can be divided by anything, but an integer
greater than one is prime if its only positive divisors are itself and
one, but zero isn't prime because it's even.
And two isn't prime because it's even?
 
John Woodgate <jmw@jmwa.demon.contraspam.yuk> writes:

I read in sci.electronics.design that David Kastrup <dak@gnu.org> wrote
(in <x5mzw8k8f1.fsf@lola.goethe.zz>) about 'Is zero even or odd?', on
Mon, 20 Dec 2004:

Ah, so 1 = 0/0 = (0+0)/0 = (0/0) + (0/0) = 2 ?

0/0 can take ANY value.
Well, and in the above it takes on 1, so that would be quite legal,
right?

--
David Kastrup, Kriemhildstr. 15, 44793 Bochum
 
"Franz Heymann" <notfranz.heymann@btopenworld.com> writes:

"David Kastrup" <dak@gnu.org> wrote in message
news:x5d5x4nbx9.fsf@lola.goethe.zz...

[snip]

(-0)^2 = -0

Not on my Casio calculator.
What else is it there?

--
David Kastrup, Kriemhildstr. 15, 44793 Bochum
 
"David Kastrup" <dak@gnu.org> wrote in message
news:x5d5x4nbx9.fsf@lola.goethe.zz...

[snip]

(-0)^2 = -0
Not on my Casio calculator.

Franz
 
Shawn Corey, lun20041220@21:43:59(CET):
Zero is even. You cannot divide by zero. Limits are not division.
Infinity is not a number. Computers bugger up the system.
That could be said louder, but not clearer :).


--
David Serrano
 
BB wrote:
Josef Moellers wrote:

Gactimus wrote:
I know 0 is neither negative or positive but what about odd/even? I
think it's even.

Odd numbers start at 1 and go every other number
1,3,5,7;1,-1,-3,-5,-7 Even starts at 2 and go every other number
2,4,6,8;2,0,-2,-4,-6,-8

As it can be divided by 2 without a remainder, it is obviously even.

The divisor would have to be something smaller than 0 like -2.
Therefore zero is both even and negative.
I'm sorry, sir, but 0 is universally defined in math to be neither - nor
+, it's jsut 0. Many graphing and soem scientific calculators have a
sign function. On any calc I've tried this on, it gives -1 for any
negative number, it gives a 1 for ant positive value, and 0 (zero) for,
well, 0 (zero.) As is defined in basic math.
 
Nicholas O. Lindan wrote:
"John Sefton" <john@petcom.com> wrote

0 can't be divided by itself,

Sure it can: 0 / 0 = 0 * (1 / 0) = 0 * infinity = 1

It works if the only three numbers in the universe are
0, 1, and infinity -- A number system that seems very
suited to usenet.
Except for the fact that: 0 / 0 = undefined

Or actually more correct: n / 0 = undefined
 
John Woodgate wrote:
I read in sci.electronics.design that David Kastrup <dak@gnu.org
wrote (in <x5mzw8k8f1.fsf@lola.goethe.zz>) about 'Is zero even or
odd?', on Mon, 20 Dec 2004:

Ah, so 1 = 0/0 = (0+0)/0 = (0/0) + (0/0) = 2 ?

0/0 can take ANY value.
n / 0 = undefined
 
Nicholas O. Lindan wrote:
1 + 1 = 0/0 + 0/0 = (0 + 0)/0 = 2 * 0/0 = 2
a = b
a^2 = ab
a^2 - b^2 = ab - b^2
(a+b)(a-b) = b(a-b)
a+b = b
but a = b
a+a = a
2a = a
2 = 1

What could be clearer?

--- Shawn
 
David Kastrup wrote:
John Woodgate <jmw@jmwa.demon.contraspam.yuk> writes:

I read in sci.electronics.design that Gactimus <gactimus@xrs.net
wrote (in <10sdnunotbnere2@corp.supernews.com>) about 'Is zero even
or odd?', on Mon, 20 Dec 2004:
I know 0 is neither negative or positive but what about odd/even? I
think it's even.

Odd numbers start at 1 and go every other number
1,3,5,7;1,-1,-3,-5,-7 Even starts at 2 and go every other number
2,4,6,8;2,0,-2,-4,-6,-8

There is other evidence. Even powers of negative numbers are
positive, and (-x)^0 = 1, which is usually positive. (;-)

(-0)^2 = -0
No, it's just 9. You dont have +0 or -0, it's just 0 (zero.) Writing it
as +0 or -0 still is jsut 0 sicne 0 has no sign. You have +, -, and 0.
Or for what you get from any proper sign function, either 1, -1, or 0.
 
Franz Heymann wrote:
"David Kastrup" <dak@gnu.org> wrote in message
news:x5d5x4nbx9.fsf@lola.goethe.zz...

[snip]

(-0)^2 = -0

Not on my Casio calculator.
Thats becuase, when translated to reality, that statement becomes (0)^2
= 0, because 0 has no sign. I really wish people would stop trying to
spread the false hood that0 actually has a sign.
 
On Mon, 20 Dec 2004 14:21:11 -0000, Gactimus <gactimus@xrs.net> wrote:

I know 0 is neither negative or positive but what about odd/even? I think
it's even.
0 has no flat edges, so it can't be even.
 
In article <32pd7rF3q16ikU1@individual.net>,
Alfred Z. Newmane <a.newmane.remove@eastcoastcz.com> wrote:

You dont have +0 or -0, it's just 0 (zero.)
No, you *do* have +0 and -0, and they are both equal to 0.

-- Richard
 
Jim Ward wrote:
On Mon, 20 Dec 2004 14:21:11 -0000, Gactimus <gactimus@xrs.net> wrote:

I know 0 is neither negative or positive but what about odd/even? I
think it's even.

0 has no flat edges, so it can't be even.
It does on my digital clock (as does my digital watch) :p
 
Richard Tobin wrote:
In article <32pd7rF3q16ikU1@individual.net>,
Alfred Z. Newmane <a.newmane.remove@eastcoastcz.com> wrote:

You dont have +0 or -0, it's just 0 (zero.)

No, you *do* have +0 and -0, and they are both equal to 0.
Well I basically said that in the part you didn't quote :)
 
John Woodgate wrote:
= 0
Either you mangled your parentheses, or this is a insidious way of
sneaking in a smilie.
Nothing is mangled if you view plain text.
Perhaps you could explain what (-x^)2 means then?
 
In article <10sdnunotbnere2@corp.supernews.com>, Gactimus wrote:
I know 0 is neither negative or positive but what about odd/even? I think
it's even.

Odd numbers start at 1 and go every other number 1,3,5,7;1,-1,-3,-5,-7
Even starts at 2 and go every other number 2,4,6,8;2,0,-2,-4,-6,-8
Zero is definitely even. Dividing zero by 2 leaves no "remainder" or
"fraction".

However, as a bit of a digression, there are "odd functions" and "even
functions" - odd ones must have output zero when input is zero. Even
functions are permitted to have output zero or nonzero when input is
zero.
Functions can be odd, even or neither. With an even function, F(x) =
F(-x). With an odd function, F(-x) = -F(x).

- Don Klipstein (don@misty.com)
 
you can say that again! Hilarious!



"Nicholas O. Lindan" wrote:

"John Sefton" <john@petcom.com> wrote

0 can't be divided by itself,

Sure it can: 0 / 0 = 0 * (1 / 0) = 0 * infinity = 1

It works if the only three numbers in the universe are
0, 1, and infinity -- A number system that seems very
suited to usenet.

--
Nicholas O. Lindan, Cleveland, Ohio
Consulting Engineer: Electronics; Informatics; Photonics.
Remove spaces etc. to reply: n o lindan at net com dot com
psst.. want to buy an f-stop timer? nolindan.com/da/fstop/
 
In article <kSDxd.34179$jf5.6646@fe1.texas.rr.com>, "Morituri-|-Max" <newage@sendarico.net> writes:
Gactimus wrote:
I know 0 is neither negative or positive but what about odd/even? I think
it's even.

It's a placeholder you twit.

It is a valid number. And it is even.

Mati Meron | "When you argue with a fool,
meron@cars.uchicago.edu | chances are he is doing just the same"
 

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