Monday, October 15, 2007

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Division by zero: a demonstration to show you that our solution is robust and fair. Ivano Ghirardini demonstration in 1971.

The of proof is very simple in R, all based on an actual visualization of the result geometrically. These figures above show why division by zero LIFE has no solution and why INFINITY IS NOT AND CAN NOT BE THE SOLUTION. This demonstration shows why the concept of limits leads and misled so many mathematicians. Yet this demonstration is understandable for a student level of a second. Was it just a little imagination?

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y = a / x for x = 0

In an orthogonal classic, I'll draw a line parallel to the Delta x-axis and passing on the y-axis by a point a.

I'm building a straight delta 'which I use to "see" the result of my divisions on the right delta. Delta is determined by x and y '(two points)

Then I project the result y' orthogonally on the x-axis

y 'is the intersection of the delta and delta' and I then projects the result to x.

if x belongs to [1, infinity [there is a equipotence with y ' belongs to] 0,1]

if x belongs to] 0,1] there is a equipotence with y 'belongs to [1, infinity [

But for x = 0

It can not be displayed results because delta and delta 'are parallel!!

But if you look closely: Delta 'and the x-axis are combined, then the projection gives R in full, in full, but this IS NOT A SOLUTION IN LIFE! What has misled fanatics limits is that the R c of the continuum from Cantor and therefore we are in the presence of a transfinite number.

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