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Failure of Cartesian Closedness in NF.. J. Symb. Log., 57 (2): 555-556 (1992)Anti-foundation and self-reference.. J. Philosophical Logic, 22 (1): 19-28 (1993)Axiomatizing a Category of Categories.. J. Symb. Log., 56 (4): 1243-1260 (1991)Defining sets as sets of points of spaces.. J. Philosophical Logic, 17 (1): 75-90 (1988)The Rising Sea: Grothendieck on Simplicity and Generality. (May 2003)What does it take to prove Fermat's Last Theorem? Grothendieck and the logic of number theory.. Bull. Symb. Log., 16 (3): 359-377 (2010)Elementary Categories, Elementary Toposes. Oxford Logic Guides Clarendon Press ; Oxford University Press, (1992)Foundations as Truths which Organize Mathematics.. Rev. Symb. Log., 6 (1): 76-86 (2013)Elementary Axioms for Canonical Points of Toposes.. J. Symb. Log., 52 (1): 202-204 (1987)The large structures of Grothendieck founded on finite order arithmetic. (2011)cite http://arxiv.org/abs/1102.1773arxiv:1102.1773Comment: Adds the optimality observation: this is the weakest possible foundation for these tools. The exposition is clarified, the set theory better motivated, and some proofs made fuller.