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 March 17th, 2015, 01:02 PM #1 Senior Member   Joined: Mar 2015 From: England Posts: 201 Thanks: 5 Infinitithes? SI 1 Infinitithe 1-10 Leminiscate 1 Centimetre 1-10 Two Is this allowed?
 March 17th, 2015, 01:04 PM #2 Senior Member   Joined: Mar 2015 From: England Posts: 201 Thanks: 5 So all the numbers from Zero to One 1 Infinitithe to 0.9 Recurring
 March 17th, 2015, 02:10 PM #3 Senior Member   Joined: Mar 2015 From: England Posts: 201 Thanks: 5 One of the numbers from Zero to One is Pi only 0.141592... instead of 3.141592...
 March 17th, 2015, 02:57 PM #4 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Perhaps you are talking about numbers mod 1, e.g., as discussed https://en.wikipedia.org/wiki/Equidi...ution_modulo_1
 March 17th, 2015, 03:05 PM #5 Senior Member   Joined: Mar 2015 From: England Posts: 201 Thanks: 5 One of the numbers from Zero to One is the Square Root Of 2 only 0.414213... instead of 1.414213...
 March 17th, 2015, 03:14 PM #6 Senior Member   Joined: Mar 2015 From: England Posts: 201 Thanks: 5 Yeah I guess you're right, but primarily what I'm asking is, are Infinitithes real or did I just make them up?
 March 17th, 2015, 03:22 PM #7 Senior Member   Joined: Mar 2015 From: England Posts: 201 Thanks: 5 One of the numbers from Zero to One is Phi only 0.618033... instead of 1.618033... One of the numbers from Zero to One is Euler's Number only 0.718281... instead of 2.718281... All Irrational Numbers basically Last edited by HawkI; March 17th, 2015 at 03:24 PM.
March 17th, 2015, 03:56 PM   #8
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Quote:
 Originally Posted by HawkI Yeah I guess you're right, but primarily what I'm asking is, are Infinitithes real or did I just make them up?
https://proofwiki.org/wiki/Real_Numbers_Modulo_1

 March 18th, 2015, 05:25 AM #9 Senior Member   Joined: Mar 2015 From: England Posts: 201 Thanks: 5 I'm sorry, I don't quite understand your answer. My question is, has Infinity ever been considered as a fraction (not including recurring)? I would understand a yes or no as an answer. I can see why you would send me those pages though, as they are similar to the topic. Last edited by skipjack; March 22nd, 2015 at 06:57 PM.
March 18th, 2015, 05:39 AM   #10
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Quote:
 Originally Posted by HawkI I'm sorry, I don't quite understand your answer. My question is, has Infinity ever been considered as a fraction (not including recurring)? I would understand a yes or no as an answer.
You'll need to define what you mean by "infinity" and "fraction" first. "Fraction" is pretty-well understood in math, but there are some subtleties that I think are worth clearing up in this case. "Infinity", on the other hand, can refer to any of dozens or even hundreds of different meanings, and without clarification I can't say anything useful here.

Here are examples of questions which you might be asking:
• Is $\aleph_0$ a rational number?
• Is division defined for the extended real number $+\infty$?
• Is there some sense in which cardinals like $\epsilon_0$ be divided?
• Does $\mathbb{R}P^1(1)$ (the field induced by the projective reals) exist?
• Which surreal numbers are (multiplicatively) invertible?

Last edited by skipjack; March 22nd, 2015 at 06:58 PM.

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