Goldstick was born in Toronto. He received his B.A. from the University of Toronto in 1962, and went on to graduate studies at Oxford University, where he received a B.Phil in 1964 and D.Phil. in 1969, although he returned to Canada in 1965; his thesis, under the supervision of Alfred Jules Ayer, attempted to refute empiricism. In 1965, he took a position as a lecturer at Carleton University, and in 1967, became an assistant professor there, but in the same year he moved back to Toronto after philosophy department members David Savan and David Gauthier persuaded the other faculty to overlook his radical politics.