You can also rule out any phone with a stylus. You can lose it. That isn't smart.
The iphone was the real original smart phone as we know it. Before that, the so called smart phones were phones with some features.
Are you serious? Just cause you didn't like the form doesn't make them not smart phones. A smart phone is a phone that is designed to do more than just call out but to be used as a web browser (no, that doesn't mean cause it has some web browser makes it a smart phone. Plenty of dumb phones have those but they really weren't aimed at people wanting to browse the webs, it's just there in case you really want to).
You can't just decide cause you didn't like the format it means it doesn't fit a definition so it's more convenient to call the phone you like the first smart phone.
And honestly, I had a PDA, it was not hard to keep track of the stylus (just put it in the little slot when you weren't using it). And you didn't have to use the stylus if you didn't want to, you could use your fingernail or even finger. It just smudged the screen (one reason I didn't warm up to the iphone when first introduced... I was imagining having a constantly smudged screen all the time. Which I do but I got over it, yes, I do have an iphone. I'm on my second iteration even. I love it so don't think I'm arguing this cause I dislike the phone but it was not the first smartphone by a long shot).