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- cesiuminjector
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- 2006-04-04
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Comments for: ive seen many examples of fallacies but how is this one a fallacy?

Date: April 04, 2006 11:43PM

I am waiting for Siouxie to give us an answer on this.

She is the smartest female in Australia behind Sandra Sully

Date: April 04, 2006 11:46PM

Actually, it is wrong. Whoever drew up that example did not do it correctly and made a goose of it.

a=b

a^2 = ab

a^2 + a^2 - 2ab = a^2 + ab - 2ab

2(a^2 - ab) = a^2 - ab

The rest will fit into place.

Date: April 04, 2006 11:50PM

The fallacy is in the given, a=b. "a" does not equatl "b" any more than circles are square. In an equation where you can just make things up, anything is possible. Even 2=l

Date: April 05, 2006 01:10AM

i understand what your getting at 27229, but what if "a" is a function and "b" is the tangent line approximation of the function "a". Given a domain of "b" where it closely approximates "a", mathamaticians frequently (and must) substitute values of "b". im sorry to inform you that "a" can equal "b"

Date: April 05, 2006 02:02AM

[email protected] is right. A = B or the 2nd assumption is BS.

Date: April 05, 2006 02:31AM

beast - that aint no assumption - ive taken enough calc to show its true. Thats actually pretty much the entire idea behind calculus. Using derivatives, tangent lines, tangent planes, ect to determine values relating to a function. If you limit the domain of a derivative, it will (for all practical purposes) be equal the original function in that domain. you can substitute a for b because they can be equal. Its no different than the sin of theta for small numbers is approximately equal to the tan of theta for small numbers.

Date: April 05, 2006 03:13AM

Uh .. wrong. a2=ab is an assumption. A bad one. One that shows this to be miserably false on all counts.

Keep trying geek.

Date: April 05, 2006 03:46AM

cockBeast:

cesiuminjector is right.If you had passed high school maths you'd understand what he's talking about.Keywords here:"domain limitation".Notice how the very top line doesn't say" -inf

Date: April 05, 2006 11:11AM

line 4, (a-b)=0, so you can't go from line 4 to line 5

because, if you have 0*anynumber = 0*anyOTHERnumber, you can't, and mustn't say : anynumber =anyOTHERnumber but 0=0 (latĂȘtatoto!)!

Date: April 05, 2006 11:13AM

hum, little problem with the formula.. this is

"0*anynumber=0*anyOTHERnumber"

And "anynumber=anyOTHERnumber"

and "0=0"

Date: April 05, 2006 12:15PM

Does any of you know why in these kinds of computations one can't divide by zero?

Date: April 05, 2006 02:19PM

in layman the reason you cannot divide by zero: how many times can something go into nothing

im sure this is a fallacy, but its not readily apparent to me why

in line 4, there is just the expanded a^2-b^2 which is equal to (a+b)(a-b), it doesnt say a*b anywhere in line b. The next algebraic operation is to devide (a-b) from both sides of the equation - which is perfectly legal

nevermind - im going to send this to one of the math proffesors at cal poly - they will respond back with the right explanation

Date: April 05, 2006 04:26PM

x=0.9999... repeating

10x=9.9999... repeating

10x-x=9

x=1

how can x=0.9999... repeating and x=1???

explain please

Date: April 05, 2006 04:44PM

i'm guessing it is estimating to =1 when you forced a conclusion out of it

it is safe assume

if x=0.9999...

then 10x-x=9

even though it would actually be 8.9999...

Date: April 05, 2006 07:10PM

Now I know why I couldnt give a rats arse at school.

Date: April 05, 2006 07:54PM

i can supply you with more math phenomena - like how the line y= (1/x) where x exists from 1 to positive infinity and then this function is rotated about the x-axis (makes a giant funnel shape lying on its sided). This shape has infinite surface area, yet finite volume.

Date: April 05, 2006 09:20PM

cesiuminjector said :

i can supply you with more math phenomena - like how the line y= (1/x) where x exists from 1 to positive infinity and then this function is rotated about the x-axis (makes a giant funnel shape lying on its sided). This shape has infinite surface area, yet finite volume.

Groovy.Do it.DO IT!No, seriously I would like to see more.

Date: April 13, 2006 11:07AM

The point with division by zero is that division is the inverse of multiplication, when you multiply something by zero you always get zero, and you never get a number different from zero. Th function of multiplying by zero is nor injective neither injective, so it cannot be inverted.

In other words if n*0 = 0, and you try to divide 0 by 0 you cannot say what what was the value of n. Moreover, no number M different from zero can be the result of an operation n*0=M thus, given M you can't find out what was n.