Will AI need a body to come close to human-like intelligence?

The first robot I remember is Rosie from The Jetsons, soon followed by the urbane C-3PO and his faithful sidekick R2-D2 in The Empire Strikes Back. But my first disembodied AI was Joshua, the computer in WarGames who tried to start a nuclear war – until it learned about mutually assured destruction and chose to play chess instead.