Why is it called the iPhone? What does the I Stand for?

Shouldn't it be called an S-phone for Smart Phone or A-Phone for Advanced phone?

I was told years ago that the I stands for individual.

Iphone because it your iphone {I} get it?

Internet

The very first iMac that came out in 98', the "i" was supposed to stand for "Internet, Individual, Instruct, Inform, and Inspire" - they then carried on with ipod, ipad etc as a very successful brand.

'A' phone sounds too much like Android