The name Mofius, the name Morfeus, the French Morphée, and the name Morphius are forms of Morpheus. Name of the god of dreams in Ovid's Metamorphoses. Just listen. Morpheus is saying that the honor is his because he believes that Neo is “The One,” meaning he thinks Neo is the person who is finally going to rescue all of humanity from the Matrix. He asks Neo to imagine having a dream so real that he mistook it for the real world, and being unable to wake from that dream. Information and translations of morpheus in the most comprehensive dictionary definitions resource on the web. The name Trinity increased in popularity as a given name for female babies born after the release of The Matrix in 1999. <> <