BEHOLD...... PROOF THAT *CARDINALITY IS BONKERS*

HERC777 · science forum Guru Wannabe Joined: 29 Apr 2005 Posts: 299

BEHOLD! A list of numbers that DOESN'T CARE WHAT ITS DIAGONAL IS!!

http://www.freewebs.com/namesort/numsort.html

You saw it here 1st folks, a list of numbers that YOU CANT DIAGONALISE!

HIT THE UNSORT BUTTON and you get the SAME SET OF NUMBERS!

STEP 1
start at digit 1

STEP 2
use a radioactive decay device to generate a random number from 0 to 9.

STEP 3
run through the original list of reals from real 1 onwards until you
find a real with the random digit matching that digit.

STEP 4
remove that real from the list and add it to the second list.

STEP 5
advance one digit position

STEP 6
Go to STEP 2

Now you can try it too! Make the diagonal 0000000000000 it STILL
WORKS!

http://www.freewebs.com/namesort/numsort.html

Herc

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