Research

 

Preprints:

Algorithmic randomness and the weak merging of computable probability measures. Coauthored with Simon M. Huttegger and Francesca Zaffora Blando.

Schnorr Randomness and Effective Bayesian Consistency and Inconsistency. Coauthored with Simon M. Huttegger and Francesca Zaffora Blando.

Simply-typed constant-domain modal lambda calculus I: distanced beta reduction and combinatory logic.

Algorithmic Randomness, Effective Disintegrations, and Rates of Convergence to the Truth. Coauthored with Simon M. Huttegger and Francesca Zaffora Blando.


Publications:

An Invitation to Nonstandard Analysis and Its Recent Applications. Coauthored with Isaac Goldbring. Notices of the American Mathematical Society 66 (6): 842–51, 2019

Philosophy and Model Theory. Coauthored with Tim Button, with a historical appendix by Wilfrid Hodges. Oxford University Press, 2018. Errata page.

The Prehistory of the Subsystems of Second-Order Arithmetic. Coauthored with Walter Dean. The Review of Symbolic Logic, 10(2):357–396, 2017.

Definability Aspects of the Denjoy IntegralFundamenta Mathematicae, 237:1–29, 2017.

Structure and Categoricity: Determinacy of Reference and Truth-Value in the Philosophy of Mathematics. Coauthored with Tim Button. Philosophia Mathematica, 24(3):283–307, 2016.

Realizability Semantics for Quantified Modal Logic: Generalizing Flagg’s 1985 Construction. Coauthored with Benjamin G. Rin. The Review of Symbolic Logic, 9(4): 752–809, 2016.

The Strength of Abstraction with Predicative ComprehensionThe Bulletin of Symbolic Logic, 22(1):105–120, 2016.

Fragments of Frege’s Grundgesetze and Gödel’s Constructible Universe. The Journal of Symbolic Logic, 81(2):605–628, 2016.

Predicativity, the Russell-Myhill Paradox, and Church’s Intensional LogicThe Journal of Philosophical Logic, 45(3):277–326, 2016.

Relative Categoricity and Abstraction Principles. Coauthored with Sean Ebels-Duggan. The Review of Symbolic Logic, 8(3):572–606, 2015.

Empiricism, Probability, and Knowledge of Arithmetic: A Preliminary DefenseJournal of Applied Logic, 12(3):319–348, 2014.

Logicism, Interpretability, and Knowledge of ArithmeticThe Review of Symbolic Logic, 7(1):84–119, 2014.

Comparing Peano Arithmetic, Basic Law V, and Hume’s PrincipleAnnals of Pure and Applied Logic, 163:1679–1709, 2012.

Incongruent Counterparts and CausalityKant-Studien 98(4): 418–430, 2007.

 


Author profile pages on preprint servers 

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Phil Papers

arXiv