To appear in Synthese


To appear in the Review of Symbolic Logic.

Hierarchical Propositions

To appear in the Journal of Philosophical Logic.

Truth, Hierarchy and Incoherence 

To appear in B. Armour-Garb (ed.), The Relevance of the Liar (Oxford University Press).

Reply to Vann McGee’s ‘Whittle’s Assault on Cantor’s Paradise’ 

Oxford Studies in Metaphysics: Volume 9 (Oxford University Press, 2015): 33–41.

On Infinite Size

Oxford Studies in Metaphysics: Volume 9 (Oxford University Press, 2015): 3–19.

Belief, Information and Reasoning

Philosophical Perspectives 26 (2012): 431–46.

There are Brute Necessities 

Philosophical Quarterly 60 (2010): 149–59.

Epistemically Possible Worlds and Propositions 

Noûs 43 (2009): 265–85.

Dialetheism, Logical Consequence and Hierarchy

Analysis 64 (2004): 318–26.