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 zylo February 4th, 2019 12:40 PM

Counting real numbers

To count the real numbers in [.1,1), remove the decimal point.

 topsquark February 4th, 2019 12:53 PM

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

 skipjack February 4th, 2019 12:57 PM

I tried it, but most of them went away, saying that counting them would be pointless.

 zylo February 4th, 2019 01:16 PM

Quote:
 Originally Posted by topsquark (Post 605326) 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.

 skipjack February 4th, 2019 01:24 PM

 Maschke February 4th, 2019 02:43 PM

Quote:
 Originally Posted by zylo (Post 605324) 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.

 topsquark February 4th, 2019 02:50 PM

Quote:
 Originally Posted by zylo (Post 605332) 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 (Post 605324) 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

 skipjack February 4th, 2019 03:44 PM

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.

 v8archie February 4th, 2019 04:10 PM

Quote:
 Originally Posted by zylo (Post 605324) To count the real numbers in [.1,1), remove the decimal point.
Monumental stupidity.

 Phrzby Phil February 4th, 2019 04:48 PM

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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