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Old 04-26-2008, 10:51 PM   #1 (permalink)
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Zero, odd or even?

Do you think Zero is an odd or even number?

Or neither?

Why?

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Old 04-26-2008, 10:53 PM   #2 (permalink)
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zero, because it's even and i find it a bit odd.
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Old 04-26-2008, 11:06 PM   #3 (permalink)
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By definition its even, because there is no remainder after dividing by 2. But more importantly about zero, consider this...

Math rule: Anything divided by itself is 1

Math rule: You cannot divide by zero, it yields undefined answers.

Which infallible (apparently not) rule do you follow first in order to find what zero divided by zero is?
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Old 04-26-2008, 11:22 PM   #4 (permalink)
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zero is neither odd nor even, because nothing does not exist. its a man-made placeholder. imo.
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zero, because it's even and i find it a bit odd.
lol
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Old 04-26-2008, 11:56 PM   #5 (permalink)
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A= odd and B= even

B + B = B
A + A = B
A + B = A

-2 + 2 = 0
-1 + 1 = 0
-1 + 2 = 1

0 is an even number...
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Old 04-27-2008, 02:33 AM   #6 (permalink)
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Quote:
Originally Posted by ANOK View Post
A= odd and B= even

B + B = B
A + A = B
A + B = A

-2 + 2 = 0
-1 + 1 = 0
-1 + 2 = 1

0 is an even number...
I am completely convinced by this argument, and from this point forward, refuse adamantly to consider the idea that zero could be anything but an even number. My mind is forever closed on this matter.



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Old 04-27-2008, 08:03 AM   #7 (permalink)
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If you're at the roulette table, you bet "evens" and the li'l ball lands on 0 or 00, you lose.

So that's a non-mathematical, real-life situation where zero is neither odd nor even.

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Old 04-27-2008, 08:55 AM   #8 (permalink)
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any number divisible by 2 is even, and 0/2=0, thus 0 is even

it doesn't make sense to have 3 odd numbers in a row
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Old 04-27-2008, 11:43 AM   #9 (permalink)
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Quote:
Originally Posted by Hedons View Post
If you're at the roulette table, you bet "evens" and the li'l ball lands on 0 or 00, you lose.

So that's a non-mathematical, real-life situation where zero is neither odd nor even.

-Hedons
I said, "GOOD DAY, SIR!!"!!



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Old 04-27-2008, 12:15 PM   #10 (permalink)
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0 is neutral
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Old 04-27-2008, 12:16 PM   #11 (permalink)
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They teach my kid in first grade that zero is even.
I don't think that zero can really be considered a number. Zero in the british language is called 'nothing', 'nought' (an old british word for nothing).

How can you count a nothing. If you can't count it it can't be a number, can it?

Can you consider Black and white to be colours ?( colours, the british spelling for 'colors',)
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Old 04-27-2008, 03:24 PM   #12 (permalink)
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Zero is a number in maths.

Numbers 1,2,3...etc., are called 'natural numbers' or 'counting numbers'.

Natural numbers with the number 0 added are 'whole numbers' 0,1,2,3...etc.

0 is considered a number, without it the numbers system won't work.

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Old 04-27-2008, 03:27 PM   #13 (permalink)
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Even.
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Old 04-28-2008, 05:42 PM   #14 (permalink)
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Quote:
Originally Posted by ANOK View Post
Zero is a number in maths.

Numbers 1,2,3...etc., are called 'natural numbers' or 'counting numbers'.

Natural numbers with the number 0 added are 'whole numbers' 0,1,2,3...etc.

0 is considered a number, without it the numbers system won't work.
it really depends on your definitions...if youre working inside a system with non standard operations all of this may or may not be true...if you go to university for a degree in mathematics you will most likely be taught from a constructive (not as in helpful, but as in the philosophy of mathematical constructivism) perspective (there are other philosophical perspectives but pedagogically this is the direction most professors choose)...basically you start with axioms, and deduce (construct) all of mathematics from those axioms...there are many axiomatic systems, but basically all these systems talk about the same thing, and that is:

1. what a set is
2. what it means to be a member of a set
3. the rules of logic

when you actually get to the process of building the system you are going to use, there are a number of things that mathematics must assume to exist...(this is where the R rated mathematics begins...R rated mathematics is the math that uses the words like choice, choose, existence or things like existential or universal quantifiers)...anywa ys the things that math assumes to exist are things like binary operators, and these other laws (commutative, associative laws etc)...and this is the point where mathematics assumes the existence of the “special numbers” 0 and 1....(this is WAY before you have even constructed the integers, and other basic ideas)...so this is pretty much how zero and one are initially defined:

given any number x, 0+x=x (additive identity)...
zero is defined to have the property that zero added to “something”, gives you that same “something”...this is what the additive identity is saying...you define zero by invoking its assumed properties...there is also the multiplicative identity:
given any number x, 1x=x (multiplicative identity)

it is these assumptions you can define the additive and multiplicative inverse that makes subtraction, division and the idea of negative numbers possible:

given any number c, there exists a number b such that c+b=0 (additive inverse)
and
given any d=/=0, there exists a number b such that db=0 (multiplicative inverse)

really zero isnt just a place holder, its a much more primordial concept that arises a long time before you can even talk about its 'place'...the concept of a negative/positive number is precipitated/is a consequence, of the assumed properties of zero...

you can define systems without 0 and 1 it all depends on what you need to do...remember where you stand depends on where you sit...

/end rant
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Old 04-28-2008, 05:49 PM   #15 (permalink)
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Quote:
Originally Posted by Bad dog View Post

Can you consider Black and white to be colours ?( colours, the british spelling for 'colors',)
White is the absence of all color and black is the combination of all colors, unless we're talking about light, then its the other way around..

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Old 04-28-2008, 05:55 PM   #16 (permalink)
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You can't argue that zero is "neither" on the basis that it is not a real number because
no numbers are really real. ALL NUMBERS ARE HUMAN CONSTRUCTS.

In the conceptual world of designating symbolic entities such as numbers with assigned constructs, then zero is correctly considered and

EVEN NUMBER.

It divides evenly and is a whole number.
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Old 04-28-2008, 06:01 PM   #17 (permalink)
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Quote:
Originally Posted by InAJar View Post
You can't argue that zero is "neither" on the basis that it is not a real number because
no numbers are really real. ALL NUMBERS ARE HUMAN CONSTRUCTS.

In the conceptual world of designating symbolic entities such as numbers with assigned constructs, then zero is correctly considered and

EVEN NUMBER.

It divides evenly and is a whole number.
i forget sometimes that i am majoring in math and i expected this post to read:
"you can't argue that 0 is neither on the basis that it is not a real number because 0 is an element of the real numbers"

whenever this question comes up, someone always asks "who cares?"
0 (number - Wikipedia, the free encyclopedia)
i care

Evenness of zero - Wikipedia, the free encyclopedia
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Old 04-28-2008, 06:41 PM   #18 (permalink)
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Old 04-28-2008, 08:59 PM   #19 (permalink)
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Old 04-28-2008, 09:17 PM