Avrum received his Ph.D. from UC, Berkeley. He joined the Philosophy Department as a professor in 1963 and became chair in 1965 and 1968. His areas of specialization are philosophy of language, epistemology, history of 20th century analytic philosophy, and Wittgenstein studies. He is the author and co-author of twenty books and about 150 articles. Seven of the books were co-authored with Richard H. Popkin. Avrum's latest publications are "Searle on Knowledge, Certainty and Skepticism" in Searle's Philosophy and Chinese Philosophy: Constructive Engagement, "Philosophy in the Future" in Rescher Studies, and Much Ado About Non-Existence: Fiction and Reference (with A.P. Martinich, University of Texas at Austin). Publications in 2008 include "Richard Popkin and Philosophy Made Simple" in Essays in Honor of Richard Popkin, "Metaphysics Revived" in A Companion to Philosophy, and Moore's Paradox Revisited. Avrum has also written referee reports for Cambridge University Press and for Blackwell Pubishing. He has also written reviews for Mind and for the Internet Publications in Philosophy.
Avrum is currently Emeritus Professor of Philosophy at UCSD.