Jagadeeshan, Shashidhar
(2016)
The magical
world of infinities.
At Right Angles, 5 (1).
pp. 15-20.
ISSN 2582-1873
Abstract
This article and its sequel hope to take the reader on a whirlwind
tour of the infinities! For those who have never encountered these
ideas, be ready for your world to be turned upside down and your
intuition to be shot to pieces. Don’t worry, you’re not the only one
who may react violently to the ideas presented below. Reputed
mathematicians like Poincaré and Kronecker reacted with horror.
Georg Cantor, who discovered these ideas, was literally driven to
insanity because of the hostility he received, especially at the hands
of Kronecker. But before we get caught up in this story, let us
begin our journey into the world of Infinity
| Item Type: |
Articles in APF Magazines
|
| Authors: |
Jagadeeshan, Shashidhar |
| Document Language: |
|
| Uncontrolled Keywords: |
Hilbert hotel, Cantor, infinities, natural numbers, set of
integers, set of rational numbers, one-to-one correspondence, interlacing,
measure theory, cardinal number, cardinality |
| Subjects: |
Natural Sciences > Mathematics |
| Divisions: |
Azim Premji University > University Publications > At Right Angles |
| Full Text Status: |
Public |
| URI: |
http://publications.azimpremjiuniversity.edu.in/id/eprint/3107 |
| Publisher URL: |
|
Actions (login required)
 |
View Item |
![[img]](https://publications.azimpremjiuniversity.edu.in/style/images/fileicons/text.png)