Is zero even or odd?

[Gactimus]

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

 

[Josef Moellers]

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.

--
Josef Möllers (Pinguinpfleger bei FSC)
If failure had no penalty success would not be a prize
-- T. Pratchett

 

[BB]

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.

--
Josef Möllers (Pinguinpfleger bei FSC)
If failure had no penalty success would not be a prize
-- T. Pratchett

 

[keith]

On Mon, 20 Dec 2004 09:13:35 -0600, John Fields wrote:

On Mon, 20 Dec 2004 14:34:03 -0000, BB <BB@BB.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.

---
Zero has no sign. Consider:

If zero was positive, 1+0 > 1, but 1+0 = 0
If zero was negative, 1+0 < 1, but 1+0 = 0

That depends on your processor. Many FPUs have both negative and positive
zero. Even fixed point arithmetic using 1's compliment has both positive
and negative '0'. It depends what the meaning of "arithmetic" is. ;-)

Yikes! So many cross-posts to groups that apparently aren't on my server!


--
Keith

 

[Nicholas O. Lindan]

"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/

 

[Mitch Harris]

Randal L. Schwartz wrote:

"BB" == BB <BB@BB.BB> writes:


BB> The divisor would have to be something smaller than 0 like -2.
BB> Therefore zero is both even and negative.

This is a troll. *Negative*? Can I have some of the drug you're
smoking?

Well, it's called "negative" in French. (also positive, in order to
be logically consistent). And their bridges hold up pretty well.

as to the antecedent, woo hoo! I'd guess sleep deprivation.

--
Mitch Harris
(remove q to reply)

 

[Richard Tobin]

In article <41C6EDF5.1050205@petcom.com>, John Sefton <john@petcom.com> wrote:

It's not a prime, because a prime can
only be divided by itself and 1.

If you rephrase that as "is a multiple only of 1 and itself" you will save
yourself the exception

0 can't be divided by itself

-- Richard

 

[Alec McKenzie]

I seeem to recall 0 coming up negative in some old IBM mainframes. That was
an artifact of the way signed numbers were converted to binary.

In computers using ones complement arithmetic, the number zero can be
represented in two ways: all bits zero (which appears positive) or all
bits one (which appears negative).

But this is just a matter of how numbers are represented in the machine,
and says nothing about whether zero is really a positive number, a
negative number, or neither.m

--
Alec McKenzie
mckenzie@despammed.com

 

[Mr. 4X]

BB <BB@BB.BB> wrote in message news:10sdomrcqe6qt0e@corp.supernews.com:

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.

Really? Is [positive number]*0 negative?

--
Josef Möllers (Pinguinpfleger bei FSC)
If failure had no penalty success would not be a prize
-- T. Pratchett

 

[David Kastrup]

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&gt 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

--
David Kastrup, Kriemhildstr. 15, 44793 Bochum

 

[Fred Bloggs]

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

Even numbers are those of the form 2n , and odd numbers are of the form
2n+1, where n is any integer. So zero is even.

 

[Morituri-|-Max]

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.

 

[John Woodgate]

I read in sci.electronics.design that David Kastrup <dak@gnu.org> wrote
(in <x5d5x4nbx9.fsf@lola.goethe.zz&gt about 'Is zero even or odd?', on
Mon, 20 Dec 2004:

(-0)^2 = -0

--
David Kastrup, Kriemhildstr. 15, 44793 Bochum

Not even in Bochum. (;-)

Lim{x->0}[(-x^)2] = 0
--
Regards, John Woodgate, OOO - Own Opinions Only.
The good news is that nothing is compulsory.
The bad news is that everything is prohibited.
http://www.jmwa.demon.co.uk Also see http://www.isce.org.uk

 

[David Kastrup]

John Woodgate <jmw@jmwa.demon.contraspam.yuk> writes:

I read in sci.electronics.design that David Kastrup <dak@gnu.org> wrote
(in <x5d5x4nbx9.fsf@lola.goethe.zz&gt about 'Is zero even or odd?', on
Mon, 20 Dec 2004:
(-0)^2 = -0


Not even in Bochum. (;-)

Lim{x->0}[(-x^)2] = 0

Either you mangled your parentheses, or this is a insidious way of
sneaking in a smilie.

If the former: in what respect does this negate my statement? While
the limit need not necessarily be the same as the value itself (a
frequent mistake when talking about 0^0), we actually _do_ arrive at
the same result even in the limit here.

--
David Kastrup, Kriemhildstr. 15, 44793 Bochum

 

[John Fields]

On Mon, 20 Dec 2004 15:50:04 GMT, "Androcles" <dummy@dummy.net> wrote:

Zero has no sign. Consider:

If zero was positive, 1+0 > 1, but 1+0 = 0
If zero was negative, 1+0 < 1, but 1+0 = 0

I thought 1+0 = 1, but I guess I can't do hard sums.
Androcles.

---
Aaargghhh!!!

LOL!, Neither can I, obviously!

--
John Fields

 

[Active8]

On Mon, 20 Dec 2004 17:13:58 GMT, Fred Bloggs 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

Even numbers are those of the form 2n , and odd numbers are of the form
2n+1, where n is any integer. So zero is even.

That's a deduction, not a law. But this type of deduction fits right
in with summations and series where zero is considered even.
--
Best Regards,
Mike

 

[Virgil]

In article <10sdnunotbnere2@corp.supernews.com>,
Gactimus <gactimus@xrs.net> 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

The usual definition of an even integer (non-integers are neither even
nor odd) is that N is an even integer iff n = 2*m for some integer m.

Is 0 = 2*m for some integer m?

 

[David Kastrup]

John Fields <jfields@austininstruments.com> writes:

On Mon, 20 Dec 2004 09:21:25 -0600, John Sefton <john@petcom.com
wrote:


It's not a prime, because a prime can
only be divided by itself and 1.

---
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.
---

0 can't be divided by itself,

---
Sure it can. Anything (or nothing) divided by itself = 1

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

--
David Kastrup, Kriemhildstr. 15, 44793 Bochum

 

[Shawn Corey]

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.

Zero is even. You cannot divide by zero. Limits are not division.
Infinity is not a number. Computers bugger up the system.

--- Shawn

 

[John Woodgate]

I read in sci.electronics.design that David Kastrup <dak@gnu.org> wrote
(in <x5mzw8k8f1.fsf@lola.goethe.zz&gt 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.
--
Regards, John Woodgate, OOO - Own Opinions Only.
The good news is that nothing is compulsory.
The bad news is that everything is prohibited.
http://www.jmwa.demon.co.uk Also see http://www.isce.org.uk