Claude, 16. März 2011, 21:06 Uhr
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Die Null (0) ist die einzige reelle Zahl, die weder positiv noch negativ ist. Bezüglich der Addition ist sie das neutrale Element. Die Zahl Null ist die Mächtigkeit der leeren Menge.
Wie verschieden kann man „nichts“ beschreiben?
0
Null
„“ (leerer Text)
nil
undefined
false
void
…
Ganz amüsant finde ich die Definition von undefinierten Variablen:
Ist die Variable nothing jetzt definiert oder nicht? Gopferdeckel…
Division durch 0 – redefined
12:4 = 3
Bei 12:0 lautet die Frage: »Wie oft muss man 0 von 12 abziehen um 0 zu erhalten?«
Antwort (Wikipedia):
Keine Anzahl von Operationen bringt das gewünschte Ergebnis.
Bei 0:0 lautet die Frage: »Wie oft muss man 0 von 0 abziehen um 0 zu erhalten?« Antwort: Jede beliebige (also keine eindeutige) Anzahl von Operationen bringt das gewünschte Ergebnis.
Aber…aber… Nein?
Wie oft muss ich 0 von 12 abziehen, um 0 zu erhalten?
Unendlich oft.
Also:
12:0 = ∞
Würd‘ sagen, wir müssen eine Dimension höher, um das Ergebnis herauszubekommen…
Rein theoretisch:
12:∞ = 0
Hat die Unendlichkeit eine Grösse? Ich ziehe unendlich viele „Nichtse“ von 12 ab. Unendlich viele Dinger, die möglicherweise unendlich klein sind. Ich ziehe die so oft ab, bis es 0 gibt. Hmm.
firmasaga
http://screencast.com/t/U7exwWEqU6aO