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Yes refer to the Affinity Rules listed here:

http://www.wizards.com/Magic/TCG/Article.aspx?x=magic/faq/mirrodin

It states that the cost can't go below zero and that if it has coloured mana that it can't reduce that cost of the coloured mana but as it doesn't have coloured mana then it can reduce it to zero therefore casting it for nothing. :D

I do that a lot with the frogmites in my Esper deck. They're not really all that good, but they add another artifact to power my Carnial Plating so they serve some purpose.

Yep, exactly how affinity works. You'll never get negative but if he had affinity you'd be able to drop a darksteel colossus for free if you had enough artifacts on the board. That's why skullclamp was broken too, one of the only limiters once an affinity deck got up steam was how many cards they could draw.

i had a broodstar deck that i played in tourney rite after they baned skull clamp and it was capeable of drawing 16 cards in one turn then emptying the hand on like turn 5