Timeline for Is there a mathematical concept of fractions using transfinite numbers as numerators and denominators?
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| Aug 7, 2014 at 16:29 | vote | accept | jimmyorpheus | ||
| Aug 6, 2014 at 23:48 | answer | added | user14972 | timeline score: 1 | |
| Aug 6, 2014 at 23:46 | comment | added | Thomas Andrews | It's generally hard to have fractions if $a\times b = a\times c$ does not imply $b=c$. It's also hard when $a\times b\neq b\times a$. So it is difficult to see how you can come up with a useful theory with cardinal or ordinal numbers. | |
| Aug 6, 2014 at 23:40 | comment | added | Asaf Karagila♦ | Take a look at the notion of non-Archimedean fields, one of which is the surreal numbers suggested by @Jair Taylor. | |
| Aug 6, 2014 at 23:35 | comment | added | Jair Taylor | Take a look at the surreal numbers. This a framework which you can add, subtract, multiply and divide all sorts of infinite and infinitesimal numbers. | |
| Aug 6, 2014 at 23:34 | history | edited | jimmyorpheus | CC BY-SA 3.0 |
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| Aug 6, 2014 at 23:28 | comment | added | jimmyorpheus | The Enlish Wikipedia article "Cantor's diagonal argument" is not equivalent to the german article "Cantors erstes Diagonalargument". Instead, the English article is equal to the German article "Cantors zweites Diagonalargument" which is about a related but different proof by Cantor. Unfortunately there doesn't seem to be an english version of the German article "Cantors erstes Diagonalargument" which is about Cantors proof that the rational numbers are countable. | |
| Aug 6, 2014 at 22:59 | history | edited | Git Gud |
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| Aug 6, 2014 at 22:56 | comment | added | user98602 | Field of fractions might be of interest to you. | |
| Aug 6, 2014 at 22:55 | comment | added | AlexR | I have added the english equivalent link since this sites' language is english; also added number-theory. You might want to add some background to the question so we can see where you are and where this question comes from. ($\pm 0$) | |
| Aug 6, 2014 at 22:51 | history | edited | AlexR | CC BY-SA 3.0 |
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| Aug 6, 2014 at 22:48 | review | First posts | |||
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| Aug 6, 2014 at 22:48 | history | asked | jimmyorpheus | CC BY-SA 3.0 |