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Two simple proofs that .9999... =/= 1

Name: Anonymous 2011-09-10 16:20

Proof # 1:
Assume .9999... = 1
Then that means .999... = .999..8
Then that means .999...8 = .999...7
And so on until 1 = 0

However 1 =/= 0

So by proof of contradiction we have proved .9999... =/= 1
Proof # 2:

Assume .999... = 1
Multiply both sides by 10000...
Then we get 99999... = 100000...
However 10000... - 99999.... = 1
1 > 0
Therefore 1 =/= 0
Since the difference is not 0, we conclude .99999...=/= 1

Name: tdavis 2011-09-10 16:31

My Mom, when a child, asked if God could make a triangle a square.  I think God would use Gordian knot logic.

This is the God I know and love:

http://www.biblegateway.com/passage/?search=Numbers+11&version=NIV


God says...
Line: 8909

sardius, a topaz, and a carbuncle: this was the first row.

39:11 And the second row, an emerald, a sapphire, and a diamond.

39:12 And the third row, a ligure, an agate, and an amethyst.

39:13 And the fourth row, a beryl, an onyx, and a jasper: they were
inclosed in ouches of gold in their inclosings.

39:14 And the stones were according to the names of the children of
Israel, twelve, according to their names, like the engravings of a
signet, every one with his name, according to the twelve tribes.

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