. "Any process that activates or increases the frequency, rate or extent of osteoclast differentiation." . . . "positive regulation of osteoclast differentiation" . "activation of osteoclast differentiation" . "stimulation of osteoclast differentiation" . "up regulation of osteoclast differentiation" . "up-regulation of osteoclast differentiation" . "upregulation of osteoclast differentiation" . . .