1080i LCD displays?

[badkarma]

I never really investigated this just because I've never been in the market for one, but before all the 1080p displays came out, there were several 1080i LCD RPTV's. I always thought that digital displays were inherently progressive, so what's the difference between say a 1080i Sony XBR and a 1080p Sony SXRD from 05. They both only take 1080i input, but do they both deinterlace the 1080i input and output 1080p? I'm just curious since a 1080i LCD display sounds like an oxymoron or a marketing reword.