|
[XML-DEV Mailing List Archive Home]
[By Thread]
[By Date]
[Recent Entries]
[Reply To This Message]
Re: Infinity
- From: Peter Hunsberger <peter.hunsberger@gmail.com>
- To: Norman Gray <norman@astro.gla.ac.uk>
- Date: Sat, 03 Mar 2018 22:05:03 +0000
It will be, but since there are as many elements in that set as there
are positive integers (they can be put into a one-to-one
correspondence), it is no bigger or smaller an infinity than the number
of integers. In contrast, the number of real numbers is a 'larger
infinity' than the number of integers. If you wish to further explore
this rabbit hole, see <https://en.wikipedia.org/wiki/Aleph_number> and
work outwards...
Actually no, and thankfully the Wikipedia page gets this right. Integers and reals are both of cardinality Aleph naught. The easiest way to conceptualize this equivalence is to think of them both as being mappable to a set of points on a line. The set of solutions to all polynomials is traditionally considered not to be of Aleph naught, (one can think of this as being some what multidimensional). However, I have recently seen some arguments to the contrary, though I have not spent the time to dig into them.
Peter Hunsberger
_______________________________________________________________________
Peter Hunsberger
- References:
- Infinity
- From: Michael Kay <mike@saxonica.com>
- Re: Infinity
- From: Elliotte Rusty Harold <elharo@ibiblio.org>
- Re: Infinity
- From: "Norman Gray" <norman@astro.gla.ac.uk>
[Date Prev]
| [Thread Prev]
| [Thread Next]
| [Date Next]
--
[Date Index]
| [Thread Index]
|
PURCHASE STYLUS STUDIO ONLINE TODAY!
Purchasing Stylus Studio from our online shop is Easy, Secure and Value Priced!
Download The World's Best XML IDE!
Accelerate XML development with our award-winning XML IDE - Download a free trial today!
Subscribe in XML format
| RSS 2.0 |
 |
| Atom 0.3 |
 |
| |
Stylus Studio has published XML-DEV in RSS and ATOM formats,
enabling users to easily subcribe to the list from their preferred news reader application.
|
Stylus Studio Sponsored Links are added links designed to provide related and additional information to the visitors of this website.
they were not included by the author in the initial post. To view the content without the Sponsor Links please
click here.
|
|
Cart
