onsdag 19 oktober 2011

Snabbt inklistrat

Enkelt räkneexperiment jag snodde från wikipedia nyss faktiskt, finns flera där man krockar med sig själv :

We are going to prove that 1=0. Start with the addition of an infinite succession of zeros

0 = 0 + 0 + 0 +...

Then recognize that 0 = 1 − 1

0 = (1 - 1) + (1 - 1) + (1 - 1) +...

Applying the associative law of addition results in

0 = 1 + (-1 + 1) + (-1 + 1) + (-1 + 1) +...

Of course − 1 + 1 = 0

0 = 1 + 0 + 0 + 0 +...

And the addition of an infinite string of zeros can be discarded leaving

0 = 1...

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