Timeline for Is there a mathematical concept of fractions using transfinite numbers as numerators and denominators?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 7, 2014 at 16:29 | vote | accept | jimmyorpheus | ||
| Aug 7, 2014 at 8:25 | comment | added | Mikhail Katz | @Hurkyl, thanks for a nice post. You should add that the hyperrationals actually provide an answer to the OP's question: since they surject to the reals, the cardinality of the reals is dominated by that of the hyperrationals. This was I think the main thrust of his question (analogy with proof of countability of the rationals) so he might be interested in this. | |
| Aug 6, 2014 at 23:50 | comment | added | Asaf Karagila♦ | I find the first example to be lacking. While it's of course true, perhaps it's good to remember from time to time that for most people "numbers come from somewhere" (usually $\Bbb c$ or $\Bbb R$) and to say that $x$ is larger than all the real numbers raises the question "Where did it come from, and how come we didn't know about it before?". | |
| Aug 6, 2014 at 23:50 | comment | added | Thomas Andrews | Technically "transfinite" does not mean "non-finite." Transfinite numbers generally refer to cardinal and ordinal numbers only. en.wikipedia.org/wiki/Transfinite_number | |
| Aug 6, 2014 at 23:48 | history | answered | user14972 | CC BY-SA 3.0 |