# Add new comment

A new machine learning framework provides doctors with a reliable tool to help diagnose Alzheimer's disease early.

What do we know about monkeypox, what do we not know, and what efforts are going into modelling it?

The COVID-19 emergency resulted in some amazing mathematical collaborations.

Here's a simple game at which a human can out-fox even the cleverest algorithm.

The INI is celebrating its 30th birthday. What is it and what is it do for maths and mathematicians?

So correct me if I'm wrong.

Can't we write Z = 1-1+1-1+1 as this?>>>>> (1+1+1+1+1+.....) - (1+1+1+1+1+1+....) = Z

All I did was pair up the positive 1's and the negative 1's and added them together.

If you assume that both sets of sums add up to infinity, their result would come out to be zero.

But, you can also look at what the sum of 1+1+1+1.... was proved to be. Which is -1/2. So in this sense,

(-1/2) - (-1/2) = (-1/2) + (1/2) = 0. So Didn't I just prove that the sum 1-1+1-1+1.... = 0?

If not, where is my mistake?