 While still at Princeton, Bynum began writing a manuscript on Frege, which originally was to be a doctoral dissertation, but developed, instead, into the "Frege project".To complete his university education, Bynum entered the PhD Program in philosophy at the Graduate Center of the City University of New York in 1982.He was granted an MPhil in philosophy from CUNY in 1984 and a PhD in philosophy in 1986.