Zoek de fout

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barto
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Lid geworden op: 07 jun 2011, 16:02

Zoek de fout

Bericht door barto » 16 jun 2013, 11:40

Ik was wat in de archieven van StackExchange aan het snuisteren en kwam dit tegen:

Consider the following (obviously) wrong proposition:

Proposition:
All positive natural numbers are definable in under eleven words.

Proof:
Suppose for the sake of contradiction(!) that not all positive natural numbers are definable in under eleven words. Then there is a smallest integer n∈N which is not definable in under eleven words. But this number is
"the smallest positive integer not definable in under eleven words",
therefore, it is definable in ten words. Contradiction!

Wat je wiskunde al niet allemaal kan doen :lol:
Given that, by scientifical reasons, the state of an object is completely determined by the physical influence of its environment, the probability to roll six with a dice is either one or zero.

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