(ctd)
>> But apparently if we move area A to the right by 1 then it is not allowed because it is infinity?<<

You can move any region, finite or infinite, and its area will not change, so I do not know what you mean.

>>(-)A + B + (-)C then why wouldn't it leave us with (-)C?<<

Again, I don't understand what REGION you mean whose area is supposed to be (-)A + B + (-)C.

>> if we can change the rules one way for infinity what prevents us changing them in other ways?<<

You do not change any rules. Infinity here, as explained above, is a symbol to describe the behaviour of a sequence (of finite areas), NOT A NUMBER. If two sequences “tend to infinity” and you subtract them then the result will depend on which sequence “more strongly” tends to infinity. For instance, the sequence 1, 2^2, 3^2, 4^2, ... tends stronger (faster) to infinity than the sequence 1,2,3,4 ...

>> I would have assumed if you take away all the natural numbers (1,2,3,4...) from all the natural numbers (1,2,3,4...) that you got zero.<<

Another way of seeing that you cannot simply subtract one infinity from another was given in my last interpretation of infinity - infinity: I obtained TWO possibilities (infinity and 2014), and your example provided a THIRD possibility, namely 0, so it clearly does not make sense to ascribe any meaning to infinity - infinity.

george/quote..<<..so it clearly does not make sense to ascribe any meaning to infinity - infinity.>>..'numerically'..?

i never go to the extreme..right of my board..so searched..for the minus..[-]...but find it much the same as [-]..above the button...

Anyhow..infinity..not being a number..cant..be subtracted..from any other non number..SO [-]..CANT REASONABLY APPLY..thus i must presume..[-]..is intended.

infinite plus infinite=..infinite
INFINITE MINUS INFINITE=ZERO..[removing everything from everything/../must leave nothing]

MUCH IS MADE FROM THE SHAPE OF A ..AND B..BUT A AND B..ARNT RANGES..[arnt 'shapes'..they are inclined lineal progressions..ALL ONG an ever flattening arc..as the extra number forces divergence AWAY..FROM A DIRECT straight]-LINE THAT PLUS ONE WOULD DEFINE.

ANYHOW Clearly infinite equaling any FINITE=INSANE
LET ALONE INFINITY =..a fraction..

Forget zeta function..recall THE RULE OF ALPHA..it it sounds like non-sense..IT IS...[for the atheists among you..imagine IF SOME 'GOD BOTHERER'..SAID GOD =1/12..BUT HECK YOUR JUST TOO DUMB TO DO THE MATH..[OR ALTERNATIVELY..imagine an atheist saying god=1/12..THUS WE NOW PROVE god cant exist..as 1..

it remains fun..but till we agree..its simple make busy work..to distract from the real issues...there are demons out there..that want yOU TO LOOK AT 'OTHER'..[IE THE REAL..ISSUES http://www.infowars.com/#]..FUNNY THEIR TALKING NUMBERS TOO http://www.infowars.com/nfl-microcosm-of-the-corporate-class/ http://www.infowars.com/nj-gives-nfl-super-tax-break-for-super-bowl-and-pays-for-security/

BUT HECK..lets get back to the real 'game'..finite e;otes trying to steal the infinite from THE TOO Distracted..by roman game playing..to notice.

minus-NOTHING [ie everything]..FROM NUTHIN..will loose us all everything..[just do the math].

http://www.mathsisfun.com/numbers/infinity.html
Dear OUG
Lets start by understanding something about infiniy.

dear teacher..[warmair..from your link/
<<..Example: Isn't [eternity]../..[eternity]..; equal to 1?

No,..''because we really don't know how big infinity is,''>>

*IMPORTANT..[Recall previous]
..<<.."minus infinity..is less than any real number,
and infinity is greater than any real number">>

plus
<<..Infinity is Simple..Yes! It is actually simpler than things which do have an end. Because if something has an end, you have to define where that end is...>>

1/12=AN END..end=END[IE NOT INFINITE V2014..not 1/12
thats all the spin

first quote continues

<<.. so we can't say..that two infinities are the same.>>
ans moST CETAINLy not ant fraction..nor real/nor unreal number

they..are AN ending..
IE..[IN ETERNITY..is..in PROCESS..not definitive..THUs not..1/12

that doesn't make sense!
1/12..IS AN END

further..unending..times unending..=unending
ending..minus eterNITY =eternity
yet ETERNITY MINUS ENDING = ETERNITY

one eternity minus ONE..etERnity=END OF ETERNITY
[as all eternities alone must be equal

NEGATIVE un-dending times positive unending...cant be 1/12..[an ending]

there are three base errors at the link
think..instead of positive/negative numbers..think of opposites
like real/true numbers..versus untrue..unreal numbers

if eternal=unending
minus non ending = THE END...[AN OPPOSING TO NON ENDING]

BUT IM BOred of talking semantics..
ETERNAL=A EVOLVING..PROCESS..NOT A NUMBER
IT CANT BELONG TO MATH...AS IT HAS NO USEFUL..MEANS TO RESOLVE IT BY MATH.

IT MOST CERTAINLY CANNOT..ever 'be'=1/12
FOR THE SAME REASON..SEE EG..ETERNITY/ETERNITY

Dear George,

Sorry mate, I had my A and B around the wrong way.

Bernd on the Physics Central site answered my query this way;

“The crucial point in the comparison between the areas A and B is the following:

If the two integrals yielding the areas A and B were both convergent, i.e. if the areas A and B had finite values, then it would not matter at all whether the curve is centered around -1/2 (as it is) or around 0. Then one could actually shift the curve a little to the right, centering it around 0, without changing the areas A and B, as infinity is not changed by adding a finite number to it. And then it would be clear that A and B would have to be exactly equal to each other: A - B = 0.

But the two integrals yielding the areas A and B are divergent, so we cannot simply shift the curve and claim that A = B. Instead, neither A, nor B, nor even A-B are finite, they all correspond to divergent integrals. The parametrization of such divergent integrals is crucial when comparing them. It is not possible to simply compare A and B, instead you must specify that the areas you want to compare extend to the same finite number (up to the sign) on the left- and right-hand side, with this number going to infinity in your limit.

Such difficulties with divergent series or integrals make it complicated to relate our naive, non-expert's notion of areas etc. to what the true mathematical outcome is.”

I'm quite happy acknowledging I am a naïve non-expert' but I'm assuming when Buzz made this statement in his correction he wasn't kosher either?

“The area of the little region below the horizontal axis equals -1/12, and subtracting the infinite area under the curve on the left from the one on the right gives you 1+2+3+4+. . . , which goes to infinity as you add terms, not to -1/12.”

Thanks again.

quotes..from your link
http://www.mathsisfun.com/numbers/infinity.html
Infinity has no end
Infinity is the idea of something that has no end.

In our world we don't have anything like it. So we imagine traveling on and on, trying hard to get there, but that is not actually infinity.

Just think "endless", or "boundless".
An idea..of something without an end.

..infinity does not behave like a real number.

[..mathematical shorthand for.."minus infinity
is less than any real number,..and infinity is greater than any real number"]

LET INFINITY=1
INFINITY/INFINITY=INFINITY..[ie 1/1=1]