I think this is simply playing with numbers for instance if you get sum = 1 + 2 + 3 + 4…. and you can calculate ((sum / 2) / (n-1)) = 1/2, so you get a same thing as sum = 1 + 1 – 1 + 1…. Odd? No. Just a game, but in the case above I suspect that some rules were bended…..

Yes, some rules were bended and this for the sake of a better mathematics. All important stuff has been preserved this way and some new ground has been conquered.

I think this is simply playing with numbers for instance if you get sum = 1 + 2 + 3 + 4…. and you can calculate ((sum / 2) / (n-1)) = 1/2, so you get a same thing as sum = 1 + 1 – 1 + 1…. Odd? No. Just a game, but in the case above I suspect that some rules were bended…..

Yes, some rules were bended and this for the sake of a better mathematics. All important stuff has been preserved this way and some new ground has been conquered.

We didn’t really need 1+2+3+4+ … = INF, anyway.