The story of the Point is the story of the number Zero (0)
Zero wasn't accepted as a real "number" for ages. The long story started when counting was done by stones on a board. Zero was used as a symbol for the impression of something which was there, but has left the place for "nothing".
To avoid cheating (or to recognize it) the board had a layer of sand.
So when a stone was set and taken away - the imprint in the sand kept visible:
- There was something (a stone) - but now there is nothing (no stone).
This is one of the ways zero was understood in the beginning.
Another role zero plays is marking positions in the decimal system:
Doesn't it sound like a joke?
The more "nothing" (zeros) you find behind a figure, the higher it's value. 1 + 6 zeros (1000000) = 1 million.Historical view:
Vedic mathematics of ancient India "invented" Zero, as well as the Babylonians and the Mayans
more views: A Brief History of Zero A very nice book with a fascinating insider view: The Nothing That Is.
A Natural History Of Zero,
Robert Kaplan
- In the early years of modern science (mathematics) Zero (0) became finally accepted as a real number, step by step.
Special Qualities of Zero (0)
- Deviding by zero is not allowed (not possible)
- Multiplication with 0 always results in 0 (senseless)
- Like water, zero seems to have aggregation states:
- you can cross zero without any problem by subtraction & addition
(zero in the aggregation state of "ice").
Mathematicians say:
- you can approach zero infinitely,
but you can never reach it completely.
For the moment, we keep a question mark for this point -?- to check it later.