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 February 4th, 2019, 12:40 PM #1 Banned Camp   Joined: Mar 2015 From: New Jersey Posts: 1,720 Thanks: 126 Counting real numbers To count the real numbers in [.1,1), remove the decimal point.
 February 4th, 2019, 12:53 PM #2 Math Team     Joined: May 2013 From: The Astral plane Posts: 2,267 Thanks: 934 Math Focus: Wibbly wobbly timey-wimey stuff. What is [.1,1) after you take away the decimal point? [1, 1) makes no sense! Again with the counting? What exactly are you getting out of this? You know that no one is going to agree with your arguments as they haven't for the last, what, 10 or so threads? -Dan
 February 4th, 2019, 12:57 PM #3 Global Moderator   Joined: Dec 2006 Posts: 20,969 Thanks: 2218 I tried it, but most of them went away, saying that counting them would be pointless.
February 4th, 2019, 01:16 PM   #4
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Quote:
 Originally Posted by topsquark What is [.1,1) after you take away the decimal point? [1, 1) makes no sense! -Dan
The question makes no sense.

[.1,1) is an interval of real numbers.

.1 -> 1
.105 -> 105
.13 -> 13
.333 -> 333

Every real number in the INTERVAL [.1,1) maps to a unique natural number.

I'm trying to make it as simple as possible.

 February 4th, 2019, 01:24 PM #5 Global Moderator   Joined: Dec 2006 Posts: 20,969 Thanks: 2218 That doesn't help you count them.
February 4th, 2019, 02:43 PM   #6
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Quote:
 Originally Posted by zylo To count the real numbers in [.1,1), remove the decimal point.
I favor free speech but I do not support multiple top posts on the same tedious confusions already being discussed to elsewhere ad nauseum.

February 4th, 2019, 02:50 PM   #7
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Quote:
 Originally Posted by zylo The question makes no sense. [.1,1) is an interval of real numbers. .1 -> 1 .105 -> 105 .13 -> 13 .333 -> 333 Every real number in the INTERVAL [.1,1) maps to a unique natural number. I'm trying to make it as simple as possible.
Quote:
 Originally Posted by zylo To count the real numbers in [.1,1), remove the decimal point.
I was referring to the comment in the OP that says "remove the decimal point." I don't understand that part. Are you saying something like "We have 0.623 in [.1, 1) so we will talk about 623?"

-Dan

 February 4th, 2019, 03:44 PM #8 Global Moderator   Joined: Dec 2006 Posts: 20,969 Thanks: 2218 That must be what zylo meant, but removing those decimal points doesn't help one count the numbers or prove that they can be counted. Thanks from topsquark
February 4th, 2019, 04:10 PM   #9
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Quote:
 Originally Posted by zylo To count the real numbers in [.1,1), remove the decimal point.
Monumental stupidity.

 February 4th, 2019, 04:48 PM #10 Member   Joined: Jun 2007 From: Richmond, VA Posts: 46 Thanks: 0 Your example of four numbers above conveniently does not include any reals with an infinite number of (non-zero trailing) digits. There are such reals, but none maps to any integer.

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