- Donald Gillies.*Lakatos and the Historical Approach to Philosophy of Mathematics
- Felix Lev.*Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory
- Identity and Extensionality in Boffa Set Theory
- The Interest of Philosophy of Mathematics (Education)
- Sizes of Countable Sets
- Joel D. Hamkins.*Lectures on the Philosophy of Mathematics
- Luciano Boi and Carlos Lobo, eds. When Form Becomes Substance: Power of Gestures, Diagrammatical Intuition and Phenomenology of Space
- Intuition, Iteration, Induction
- Dominique Pradelle.*Être et genèse des idéalités. Un ciel sans éternité
- Internal Applications and Puzzles of the Applicability of Mathematics
- No Easy Road to Impredicative Definabilism
- On Algorithms, Effective Procedures, and Their Definitions
- Mirja Hartimo, Frode Kjosavik, and Øystein Linnebo, eds. Critical Views On Logic
- Matthew Handelman.* The Mathematical Imagination: On the Origins and Promise of Critical Theory
- Andrew Arana and Marco Panza, eds. Précis de philosophie de la logique et des mathématiques. Vol. 2. Philosophie des mathématiques
- Penelope Maddy. A Plea for Natural Philosophy: And Other Essays
- Breaking the Tie: Benacerraf’s Identification Argument Revisited
- Justin Clarke-Doane.* Mathematics and Metaphilosophy
- Challenges Facing Counterfactual Accounts of Explanation in Mathematics
- The Case for the Irreducibility of Geometry to Algebra†
- Mark Wilson. Innovation and Certainty
- Domain Extension and Ideal Elements in Mathematics†
- Juliette Kennedy.*Gödel, Tarski and the Lure of Natural Language: Logical Entanglement, Formalism Freeness
- Bob Hale. Essence and Existence: Selected Essays
- Physical Possibility and Determinate Number Theory†
- Taking Stock: Hale, Heck, and Wright on Neo-Logicism and Higher-Order Logic
- Measurable Selections: A Bridge Between Large Cardinals and Scientific Applications?†
- Dominique Pradelle.*Intuition et idéalités. Phénoménologie des objets mathématiques [Intuition and idealities: Phenomenology of mathematical objects.] Collection Épiméthée
- Objectivity in Mathematics, Without Mathematical Objects†
- On the Buck-Stopping Identification of Numbers†
- Rainer Stuhlmann-Laeisz.*Gottlob Freges Grundgesetze der Arithmetik: Ein Kommentar des Vorworts, des Nachworts und der einleitenden Paragraphen. [Gottlob Frege’s Basic Laws of Arithmetic: A Commentary on the Foreword, the Afterword and the Introductory Paragraphs]
- How Do We Semantically Individuate Natural Numbers?†
- William Boos. Metamathematics and the Philosophical Tradition
- Intrinsic Justifications for Large-Cardinal Axioms†
- The Equivalence of Definitions of Algorithmic Randomness†
- There May Be Many Arithmetical Gödel Sentence†
- Three Letters on the Foundations of Mathematics by Frank Plumpton Ramsey†
- Infinite Lotteries, Spinners, Applicability of Hyperreals†
- Internality, transfer, and infinitesimal modeling of infinite processes†
- Emily Rolfe*Great Circles: The Transits of Mathematics and Poetry
- Structuralism and Mathematical Practice in Felix Klein’s Work on Non-Euclidean Geometry†
- Gerhard Jäger* and Wilfried Sieg.**Feferman on Foundations: Logic, Mathematics, Philosophy
- Introduction to Special Issue: Foundations of Mathematical Structuralism
- Justin Clarke-Doane*Morality and Mathematics.
- Tim Button and Sean Walsh*Philosophy and Model Theory.
- Luca Incurvati*Conceptions of Set and the Foundations of Mathematics.
- Critical Plural Logic†
- Matthias Wille.*›Largely unknown‹ Gottlob Frege und der posthume Ruhm›alles in den Wind geschrieben‹ Gottlob Frege wider den Zeitgeist
- Geoffrey Hellman* and Stewart Shapiro.**Mathematical Structuralism. Cambridge Elements in the Philosophy of Mathematics, Penelope Rush and Stewart Shapiro, eds
- Corrigendum to: Leon Horsten, The Metaphysics and Mathematics of Arbitrary Objects
- Erratum to: Computational Complexity Theory and the Philosophy of Mathematics
- Erich H. Reck and Georg Schiemer, eds. The Prehistory of Mathematical Structuralism
- Philip A. Ebert and Marcus Rossberg, eds.*Essays on Frege’s Basic Laws of Arithmetic
- Reflections on Frege’s Theory of Real Numbers†
- Øystein Linnebo.*Thin Objects
- Jan Makovský, ed. Leibniz et leibnizianismes
- Persi Diaconis and Brian Skyrms. Ten Great Ideas about Chance
- Intuitionism in the Philosophy of Mathematics: Introducing a Phenomenological Account
- Does Choice Really Imply Excluded Middle? Part II: Historical, Philosophical, and Foundational Reflections on the Goodman–Myhill Result†
- Does Choice Really Imply Excluded Middle? Part I: Regimentation of the Goodman–Myhill Result, and Its Immediate Reception†
- On Non-Eliminative Structuralism. Unlabeled Graphs as a Case Study, Part B†
- On Non-Eliminative Structuralism. Unlabeled Graphs as a Case Study, Part A†
- Stefania Centrone, Sara Negri, Deniz Sarikaya, and Peter M. Schuster. Mathesis Universalis, Computability and Proof
- Alexander Reutlinger and Juha Saatsi, eds. Explanation Beyond Causation: Philosophical Perspectives on Non-Causal Explanations
- Matthias Wille, ed. Fregesche Variationen: Essays zu Ehren von Christian Thiel
- Stefania Centrone, Deborah Kant, Deniz Sarikay, eds. Reflections on the Foundations of Mathematics: Univalent Foundations, Set Theory and General Thoughts
- John Stillwell*Reverse Mathematics: Proofs from the Inside Out
- Leon Horsten*The Metaphysics and Mathematics of Ordinary Objects.
- John Stillwell*. A Concise History of Mathematics for Philosophers
- Mircea Pitici, ed. The Best Writing on Mathematics 2019. *
- Philip A. Ebert and Marcus Rossberg, eds. Essays on Frege’s Basic Laws of Arithmetic
- Mario Piazza and Gabriele Pulcini, eds. Truth, Existence and Explanation: FilMat 2016 Studies in the Philosophy of Mathematics
- Inês Hipólito and Reinhard Kahle, guest editors. The Notion of ‘Simple Proof’ – Hilbert’s 24th Problem
- A Counterfactual Approach to Explanation in Mathematics
- The Benacerraf Problem as a Challenge for Ontic Structural Realism†
- Elaine Landry,* ed. Categories for the Working Philosopher
- Hilbertian Structuralism and the Frege-Hilbert Controversy†
- John L. Bell.*Oppositions and Paradoxes: Philosophical Perplexities in Science and Mathematics
- Woosuk Park.*Philosophy’s Loss of Logic to Mathematics: An Inadequately Understood Take-Over
- Otávio Bueno* and Steven French.**Applying Mathematics: Immersion, Inference, Interpretation
- What Types Should Not Be†
- How Can Abstract Objects of Mathematics Be Known?†
- Erich H. Reck, ed. Logic, Philosophy of Mathematics, and their History: Essays in Honor of W.W. Tait
- Enrico Martino.*Intuitionistic Proof Versus Classical Truth, The Role of Brouwer’s Creative Subject in Intuitionistic Mathematics
- In Defense of Benacerraf’s Multiple-Reductions Argument†
- Hitting a Moving Target: Gödel, Carnap, and Mathematics as Logical Syntax†
- Abstractionism and Mathematical Singular Reference†
- Conceptual and Computational Mathematics†
- Geoffrey Hellman and Roy T. Cook, eds. Hilary Putnam on Logic and Mathematics
- Philosophy of Mathematical Practice — Motivations, Themes and Prospects†
- Antireductionism and Ordinals
- Paolo Mancosu.*Abstraction and Infinity
- Hartry Field. Science Without Numbers: A Defense of Nominalism 2nd ed
- Geoffrey Hellman* and Stewart Shapiro.**Varieties of Continua—From Regions to Points and Back
- Hourya Benis-Sinaceur, Marco Panza, and Gabriel Sandu. Functions and Generality of Logic: Reflections on Dedekind’s and Frege’s Logicisms
- Deflationary Nominalism and Puzzle Avoidance†
- Structuralist Neologicism†
- Books of Essays: Elizabeth de Freitas, Nathalie Sinclair, and Alf Coles, eds. What is a Mathematical Concept?
- Books of Essays: Gerhard Jäger and Wilfried Sieg, eds. Feferman on Foundations: Logic, Mathematics, Philosophy
- Generic Structures†
- Books of Essays: Sorin Bangu,* ed. Naturalizing Logico-Mathematical Knowledge: Approaches from Philosophy, Psychology and Cognitive Science
- Øystein Linnebo*. Philosophy of Mathematics.
- Human-Effective Computability†
- Set Existence Principles and Closure Conditions: Unravelling the Standard View of Reverse Mathematics†
- A Role for Representation Theorems†
- Corrigendum
- An ‘i’ for an i, a Truth for a Truth†
- Existence, Mathematical Nominalism, and Meta-Ontology: An Objection to Azzouni on Criteria for Existence†
- Marc Lange*. The because of Because Without Cause: Non-Causal Explanations in Science and Mathematics
- Books of Essays: Elaine Landry, ed. Categories for the Working Philosopher.
- Non-ontological Structuralism†
- Books of Essays: Mircea Pitici, ed. The Best Writing on Mathematics 2017.
- Roi Wagner. Making and Breaking Mathematical Sense: Histories and Philosophies of Mathematical Practice.
- Francesca Biagioli. Space, Number, and Geometry from Helmholtz to Cassirer.
- Books of Essays: Sébastien Gandon and Ivahn Smadja, eds. Philosophie de Mathématiques: Ontologie, Vérité et Fondements.
- A Study of Mathematical Determination through Bertrand’s Paradox
- Books of Essays: Sébastien Gandon and Ivahn Smadja, eds. Philosophie de Mathématiques: Logique, Preuve et Pratiques.
- Books of Essays: Bharath Sriraman, ed. Humanizing Mathematics and its Philosophy: Essays Celebrating the 90th Birthday of Reuben Hersh.
- Gila Sher. Epistemic Friction: An Essay on Knowledge, Truth, and Logic.
- Axiomatizing Changing Conceptions of the Geometric Continuum II: Archimedes-Descartes-Hilbert-Tarski †
- Axiomatizing Changing Conceptions of the Geometric Continuum I: Euclid-Hilbert †
- Carlo Cellucci. Rethinking Knowledge: The Heuristic View .
- Emily Rolfe Grosholz. Starry Reckoning: Reference and Analysis in Mathematics and Cosmology.
- Richard Lane Tieszen, 1951–2017
- Critical Studies/Book Reviews
- Introduction to Special Issue: Dedekind and the Philosophy of Mathematics
- Labyrinth of Continua †
- Wittgenstein and Gödel: An Attempt to Make ‘Wittgenstein’s Objection’ Reasonable †
- Introduction to Special Issue: Aesthetics in Mathematics †
- Further Into the Abyss: Graham Priest’s Towards Non-Being
- Aesthetic Preferences in Mathematics: A Case Study †
- Books of Essays: Emiliano Ippoliti, Fabio Sterpetti, and Thomas Nickles, eds. Models and Inferences in Science.
- Books of Essays: Massimiliano Carrara, Alexandra Arapinis, and Friederike Moltmann, eds. Unity and Plurality. Logic, Philosophy, and Linguistics.
- Books of Essays: Mircea Pitici, ed. The Best Writing on Mathematics 2016
- What Are Structural Properties? †
- Books of Essays: Using the Philosophy of Mathematics in Teaching Undergraduate Mathematics
- Computing with Numbers and Other Non-syntactic Things: De re Knowledge of Abstract Objects †
- Books of Essays: Truth, Objects, Infinity: New Perspectives on the Philosophy of Paul Benacerraf
- Fitting Feelings and Elegant Proofs: On the Psychology of Aesthetic Evaluation in Mathematics †
- The Beautiful Art of Mathematics †
- The Psychology and Philosophy of Natural Numbers †
- Books of Essays