My Math Forum > Math Infinity

 Math General Math Forum - For general math related discussion and news

 May 26th, 2017, 12:10 AM #1 Member   Joined: May 2017 From: USA Posts: 31 Thanks: 0 Infinity Infinity is always more than 0 and less than 1!
 May 26th, 2017, 12:39 AM #2 Senior Member   Joined: Feb 2016 From: Australia Posts: 1,822 Thanks: 643 Math Focus: Yet to find out. Why
 May 26th, 2017, 12:55 AM #3 Member   Joined: May 2017 From: USA Posts: 31 Thanks: 0 Because, anything greater than 1 is combination of 1s. Thanks
 May 26th, 2017, 01:46 AM #4 Senior Member   Joined: Feb 2016 From: Australia Posts: 1,822 Thanks: 643 Math Focus: Yet to find out. Are you high?
 May 26th, 2017, 02:22 AM #5 Senior Member   Joined: Apr 2014 From: Glasgow Posts: 2,156 Thanks: 731 Math Focus: Physics, mathematical modelling, numerical and computational solutions *Ba-dum tish* Thanks from Joppy
 May 26th, 2017, 05:53 AM #6 Senior Member   Joined: Jun 2014 From: USA Posts: 528 Thanks: 43 I'm a sucker for threads that ponder the infinite, even when they lead to nonsense. I saw this, got interested, clicked on it, and then wow... just wow. You got me. Good one.
 May 26th, 2017, 09:17 AM #7 Member   Joined: May 2017 From: USA Posts: 31 Thanks: 0 Thank you all. Than here is one question for you guys: how many infinities are in between 0 and 1?
May 26th, 2017, 11:14 AM   #8
Senior Member

Joined: Jun 2014
From: USA

Posts: 528
Thanks: 43

Quote:
 Originally Posted by Microlab Thank you all. Than here is one question for you guys: how many infinities are in between 0 and 1?
That depends on what you mean by "infinities."

If I consider the number of different infinite subsets of rational numbers that can be created from the rationals on the interval (0, 1), then the answer is a cardinal number commonly denoted $2^{\aleph_0}$.

 May 26th, 2017, 11:28 AM #9 Member   Joined: May 2017 From: USA Posts: 31 Thanks: 0 Thanks again! Well, how should I describe for example: 0.11111... or 0.99999... or 0.12451234512345... Do they belong to "infinity" ? Just curious. Thanks
May 26th, 2017, 12:01 PM   #10
Senior Member

Joined: Aug 2012

Posts: 2,323
Thanks: 715

Quote:
 Originally Posted by Microlab Thanks again! Well, how should I describe for example: 0.11111... or 0.99999... or 0.12451234512345... Do they belong to "infinity" ? Just curious. Thanks
They're finite real numbers. They happen to have infinitely long nonrepeating decimal expansions. That's because the decimal representation in general is flawed.

To clarify this, consider the decimal .1234512345...

Now that looks like it encodes an infinite amount of information. But actually it has a repeating block so it's a rational number. In fact it's $\frac{12345}{99999}$. So it only encodes two whole numbers, not infinitely many.

A number is an abstract object that may have many different representations. A real number has a decimal representation (sometimes two) but the representation is not the number.

It does happen to be the case that decimal representation is flawed. Some numbers have two different representations. Others only encode a finite amount of information, yet their decimal representation is infnite, as we saw with $.1234512345 \dots$

So we shouldn't confuse a finite number with its infinite decimal representation. In fact all real numbers are finite numbers.

 Tags infinity

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post shunya Elementary Math 5 July 18th, 2014 09:09 AM sivela Calculus 1 June 25th, 2012 10:04 AM nerd9 Algebra 22 July 18th, 2010 03:47 PM -DQ- Algebra 5 September 14th, 2009 05:13 AM fibonaccilover Applied Math 9 July 26th, 2009 08:07 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top