RE: Does 0 = Infinity?
February 23, 2016 at 1:51 am
(This post was last modified: February 23, 2016 at 1:59 am by Alex K.)
As always in these discussions, it depends entirely on the definitions one uses. So one can maybe split thie question in the title in two -
1) is 0=infty in the most common definitions used?
2) If not, can one construct a consistent mathematical system in which 0=infty, and what are its properties?
The first is a no. The second is open for discussion. A trivial example would be defininf the symbol infinity to mean the same as the 0 of real numbers. Then 0= infinity, but infinity probably lacks some properties one would like it to have. etc..
1) is 0=infty in the most common definitions used?
2) If not, can one construct a consistent mathematical system in which 0=infty, and what are its properties?
The first is a no. The second is open for discussion. A trivial example would be defininf the symbol infinity to mean the same as the 0 of real numbers. Then 0= infinity, but infinity probably lacks some properties one would like it to have. etc..
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition
