Proper Classes. - Penelope Maddy (J. Symb. Log., 1983)

Believing the Axioms I. - Penelope Maddy (J. Symb. Log., 1988)

Believing the Axioms II. - Penelope Maddy (J. Symb. Log., 1988)

The Roots of Contemporary Platonism. - Penelope Maddy (J. Symb. Log., 1989)

Does V Equal L? - Penelope Maddy (J. Symb. Log., 1993)

V=L and Maximize. - Penelope Maddy (Logic Colloquium, 1995)

Set Theoretic Naturalism. - Penelope Maddy (J. Symb. Log., 1996)

Logic and the Discursive Intellect. - Penelope Maddy (Notre Dame J. Formal Log., 1999)

Does mathematics need new axioms? - Solomon Feferman; Harvey M. Friedman; Penelope Maddy; John R. Steel (Bull. Symb. Log., 2000)

Mathematical existence. - Penelope Maddy (Bull. Symb. Log., 2005)

Three Forms of Naturalism. - Penelope Maddy (The Oxford Handbook of Philosophy of Mathematics and Logic, 2007)

How Applied Mathematics Became Pure. - Penelope Maddy (Rev. Symb. Log., 2008)

The philosophy of logic. - Penelope Maddy (Bull. Symb. Log., 2012)

A second Philosophy of Arithmetic. - Penelope Maddy (Rev. Symb. Log., 2014)

A Reconstruction of steel's Multiverse Project. - Penelope Maddy; Toby Meadows (Bull. Symb. Log., 2020)