I happened upon the Numberphile video being discussed here and as a non mathematician I am wondering something.
The infinite sum 1-1+1-1+1-1...
If it is an infinite series , infinite being without end.
A question : does an infinite series have a beginning?
If it is truly infinite then surely it should be written ...+1-1+1-1+1-1...
It seems the article places a forward limit on the infinite series in order to mathematically manipulate it.
Any comment would be welcome.
Also in terms of infinity , surely if a number / series is infinite , then its always infinite , and merely writing a description of it does not create the series , or build its value.
The infinite series described by 1 + 2+ 3 + 4+ 5 ...
Is this "created" by the writing of its description , or is it fully infinite and only the description is being "built" and the idea that the sum diverges is merely a guide to writing the description?
Just wondering :)