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Does Deep Blue have emotions?
Well, as I understand the way it works it does attach some kinda value to how 'good' any given board position is, then works through the tree of positions and finds the route to the 'best' of those positions.
Is that value an emotion?
Well no.
In a very single-dimensional way it might be a model of one though. I assume it's probably a single real number, maybe even an integer, rather than a complex set of semantic associations.
Deep Blue is seeking just "WIN!" and labelling potential board positions accordingly whereas humans are seeking "Fun" and "Happy" and "Enough sex" and "Intellectually Interesting" and "Not scary" and god knows how many other dimensions too.
Most of those dimensions can actually be classified as "towards" or "away", though, which will be part of the subject of the next post in the series.
The important distinction for humans, though, is that emotions are "somatic markers" -- meaning that they are distinctions in the body, for purposes of organizing action responses. They aren't arbitrary scores, but more like "action stances" of varying degrees. So yes, they're multi-dimensional and all of the categories you mention (e.g. "intellectually interesting" and "enough sex") qualify... but they also largely group into (and layer on top of the machinery for) the somewhat-more-fundamental operators of "toward" and "away".