In the beginning, I thought of infinity as something inaccessible. Which can't be reached. And when something can't be reached ( with 'reached' i mean can't be known) its properties were automatically considered as weird.
But in the book " one two three...... Infinity" by George gamow it is written that there are three kinds of infinities :
- Infinity no. 1- corresponding to number system ( one dimension)
- infinity no. 2- corresponding to set of points in plane ( two dimension)
- Infinity no 3- corresponding to three dimensional space.
When three infinities are there, then the so called inacessibility of infinity is somewhat hurt.
Second guess is that it is a large number, then why are it's properties different?