Bull/Bear Markets Explained

I have for years known what the terms "bull market"/"bullish" and "bear market"/"bearish" means, yet it now seems that until just recently I might have misunderstood the origin of the terms. When I explained these terms to you, I retold an explanation that I had heard that the terms originated from the different attack styles of the animals ("When a bull attacks it strikes UP with it's horns - when a bear attacks it strikes DOWN with it's paws")

The worlds sexiest linguist, hotforwords aka Marina Orlova (whom I discussed previously here) however here argues these terms have another origin.