Logic and Philosophy of Mathematics at Oxford
Philosophy of Mathematics seminar Philosophy and Mathematics undergraduate course |
Philosophy of Mathematics SeminarThe seminar takes place on Mondays 4:30‐6:30 pm. In-person meetings take place in the Ryle Room of the Radcliffe Humanities Building Conveners: Daniel Isaacson and Chris Scambler. The topics of the seminar go beyond philosophy of mathematics in the strict sense. They include themes from formal logic, but also applications of formal methods in philosophy in general. Our speakers come from different subjects, including philosophy, computer science, and mathematics. The content of the talks varies from highly technical to purely informal. Everyone is invited to attend the seminar. We welcome especially graduate and undergraduate students from all subject areas. It is perfectly acceptable to attend only selected talks. We urge that participants abide by the Guidelines for respectful, constructive, and inclusive philosophical discussion. The seminar's YouTube channel with recordings of selected talks can be found here. Michaelmas 2024This term, all talks will have a hybrid format (in-person in the Ryle Room of the Philosophy Faculty and online via Zoom). All meetings of the seminar will be 4.30-6.30 p.m. Oxford time. A link for the Zoom meetings will be included in the email announcements circulated to the seminar’s mailing list. If you would like to be added to this list, please contact daniel.isaacson@philosophy.ox.ac.uk Some online talks, including the discussion, may be recorded and posted on our YouTube channel. 21st October 2024 (week 2) Balthasar Grabmayr (Tübingen), Computation and the structure of arithmetic Rescheduled to 16 June 2025 (week 8) 4th November 2024 (week 4) Silvia De Toffoli (Pavia), How to prove things with diagrams 18th November 2024 (week 6) Fabian Pregel (Oxford), Is logical consequence a relation between Fregean thoughts? 2nd December (week 8) James Studd (Oxford), Contingentist sets as potentialist properties Trinity 202429th April (week 2) Laura Crosilla (Oslo) Predicativity as invariance 13th May (week 4) William D’Alessandro (Oxford) Explanation in mathematics: a noetic account 27th May (week 6) Carl Posy (Hebrew University) Model theory, intuitionism, and paradox 10th June (week 8) Douglas Blue (Pittsburgh) Hierarchies of infinity Hilary 202422nd January (week 2) Ali Enayat (University of Gothenberg), Categoricity-like properties in the first order realm. In person and via Zoom. 5th February (week 4) James Studd (LMH, Oxford), Contingentist sets as potentialist properties. Postponed until Michaelmas 2024 19th February (week 6) Sharon Berry (Indiana University Bloomington), Mathematical access worries and accounting for knowledge of logical coherence. Via Zoom only. 4th March (week 8) Stella Moon (Czech Academy of Sciences Institute of Philosophy), Husserlian philosophy of mathematical practice and homotopy type theory. Via Zoom only. Michaelmas 202316th October (week 2) Fenner Tanswell (Technische Universität Berlin) and Ásgeir Berg Matthíasson (University of Iceland), The philosophical implications of using large language models in mathematics Zoom only 30th October (week 4) Benjamin Marschall (Trinity College, Cambridge), Carnap, the conventionalist 13th November (week 6) Chris Scambler (All Souls College, Oxford), The possibility of potentialism 27th November (week 8) Hans Robin Solberg (Oxford), Are large cardinal axioms in bad company? Trinity 20231st May (week 2) Daniel Isaacson (Oxford), Kripke on Gödel incompleteness 15th May (week 4) Xinhe Wu (Bristol), Boolean-valued models of set theory with urelements 22nd May (week 5) Joel David Hamkins (Notre Dame), Natural instances of illfoundedness and nonlinearity in the hierarchy of consistency strength 29th May (week 6) Anna Bellomo (Vienna) Bolzano’s measurable numbers 12th June (week 8) Andrew Bacon (USC), Mathematical modality: an investigation of set-theoretic contingency.Via Zoom only. Hilary 202323rd January (week 2) Wesley Wrigley (London School of Economics), Absolutely undecidable arithmetical propositions 6th February (week 4) Mary Leng (York University), To be (thin) or not to be? Are thin objects fictional or are fictional objects thin? 20th February (week 6) Juhani Yli-Vakkuri (Australian Catholic University) and Zachary Goodsell (University of Southern California), New logical foundations for mathematics. Via Zoom only.
6th March (week 8) Andreas Ditter (Queen’s College Oxford), Higher-order essences Michaelmas 202217th Oct (week 2) Carlo Nicolai (King’s College London), Graph conceptions of properties The seminar will not take place in week 4; instead, we will meet in week 5: 7th Nov (week 5) A.C. Paseau and Fabian Pregel (Oxford), Deductivism: a new appraisal 14th Nov (week 6) Wilfried Sieg (Carnegie-Mellon), Proofs as objects 28th Nov (week 8) Frederique Janssen-Lauret (Manchester), Founding mothers: Women’s contributions to logic in the early analytic period Trinity 20222nd May (week 2) Carolin Antos (Konstanz) Defective concepts and pluralism in mathematics Hybrid meeting: in the Ryle Room and via Zoom 16th May (week 4) Alex Roberts (Oxford) Modality and modalities Hybrid meeting: in the Ryle Room and via Zoom 30th May (week 6) Crispin Wright (NYU) Making Exceptions via Zoom only 13th June (week 8) Luca Incurvati (Amsterdam) On logical and scientific strength via Zoom only Hilary 202224th January (week 2) Chris Scambler (All Souls) Axiomatic Potentialism Hybrid meeting: in the Ryle Room and via Zoom 7th February (week 4) Kit Fine (NYU) Postulation and Possibility Hybrid meeting: in the Ryle Room and via Zoom 21st February (week 6) Paolo Mancosu (Berkeley and Paris) How many points are in a line segment? From Grosseteste to the theory of numerosities via Zoom only 7th March (week 8) Zeynep Soysal (Rochester) Fixing mathematical content via Zoom only Michaelmas 202118th October (week 2) Eileen Nutting (Kansas) Approaches to Ordinal Abstraction via Zoom 1st November (week 4) Joel David Hamkins (Oxford) Fregean abstraction in Zermelo-Fraenkel set theory via Zoom 15th November (week 6) Keith Hossack (Birkbeck) The known universe Hybrid meeting: in the Ryle Room and via Zoom 29th November (week 8) Beau Mount (Konstanz) Goliath’s Sword: Repurposing Fictionalism to Tame Choice Sequences via Zoom Trinity 20213 May (week 2) Sorin Bangu (Bergen and Oxford) Two dualisms in later Wittgenstein's writings on mathematics 17 May (week 4) Charles Parsons (Harvard), Evidence and the hierarchy of mathematical theories 31 May (week 6) Andrea Reichenberger (Paderborn), Rózsa Péter on the philosophy and foundations of mathematics 14 June (week 8) Andrea Cantini (Florence), Reflecting and unfolding Hilary 2021week 2 (25 January) David Corfield (Kent) Modal Homotopy Type Theory week 4 (8 February) Máté Szabo (Oxford) Max Newman’s Influence on Turing’s Early Work week 6 (22 February) Peter Koellner (Harvard) Two Futures: Pattern or Chaos week 8 (8 March) Giovanna Corsi (Bologna) From Kripke to Lewis and beyond: A foundational study of quantified modal logic Michaelmas 2020Some recordings of the talks are available here on our YouTube channel. All talks will take place at 4.30 p.m. UK time. week 2 (19 October) Patricia Blanchette (Notre Dame) Frege on Caesar and Hume's Principle week 4 (2 November) Rebecca Morris Intellectual virtues in mathematics week 6 (16 November) Stephen Yablo (MIT) How and Why to be Logically Non-Omniscient week 8 (30 November) Neil Barton (Konstanz) Algebraic Levels and Incomplete Structures Trinity 2020The Philosophy of Mathematics Seminar will not meet in Trinity term because of the public health restrictions. We will reschedule talks by the speakers who were scheduled to speak this term when possible. Hilary 2020Previously some of the talks were announced for different dates. Now all talks have been scheduled for even weeks. week 2 (27 January) Tim Button (UCL) Loving the universe week 4 (10 February) Martin Fischer (Munich) Predicativity, Potentiality and Partiality week 6 (24 February) Peter Fritz (Australian Catholic University Melbourne) Why Intensionalism? week 8 (9 March) Hanoch Ben-Yami (Central European University) The Quantified Argument Calculus: Introduction, Overview, and Future Directions
Michaelmas 201914 October (week 1) Albert Visser (Utrecht) What is a Provability Predicate? 28 October (week 3) Sam Roberts (Oslo) Ultimate V 11 November (week 5) Dan Isaacson (Oxford) Kreisel’s philosophy of mathematics 25 November (week 7) Tim Williamson (Oxford) Impossible worlds and semantic compositionality Trinity 201913 May (week 3) Florian Steinberger (Birkbeck) Logical pluralism and logical normativity 27 May (week 5) Lavinia Picollo (UCL) A theory of untyped structured propositions 10 June (week 7) Kentaro Fujimoto (Bristol) Predicates and second-order logic 17 June (week 8) Volker Halbach (Oxford) The fourth grade of modal involvement Hilary 201914 January (Monday of 1st week): Michal Godziszewski (Warsaw) Local Disquotation, Semantic Non-Conservativity of Truth, and Models of Set Theory 17 January (Thursday of 1st week) at 11.00 a.m. in the Mathematical Institute: John Baldwin (Illinois) (joint with the Logic Seminar) Philosophical implications of the paradigm shift in model theory 28 January (Monday of 3rd week) Menachem Magidor (Hebrew University) Independence in Mathematics: Is It Relevant? 11 February (Monday of 5th week) Mateusz Lelyk (Warsaw) The Implicit Commitments Thesis Meets the
Tarski Boundary. (revised title) 18 February (Monday of 6th week) Marcus Giaquinto (UCL) A priori and a posteriori in mathematics Michaelmas 2018Week 2 (15 Oct) No seminar Conference Necessary Beings: A Conference in Memory of Bob Hale in London. James Ladyman's talk has been moved to week 7. Week 4 (29 October) Joel Hamkins (Oxford) On set-theoretic mereology as a foundation of mathematics Week 6 (12 November) Laura Crosilla (Birmingham) Predicativity, indefinite extensibility and the natural numbers week 7 (19 November) James Ladyman (Bristol) The Philosophical Logic of Homotopy Type Theory Week 8 (26 November) Alex Paseau (Oxford) Which Cardinality Quantifiers are Logical? Trinity 2018Week 3 (7 May) Jack Woods (Leeds) Structuralist Neo-logicism Week 4 (14 May), Benedict Eastaugh (Munich) Does nonclassical truth impair mathematical reasoning? Week 5 (21 May) Gabriel Uzquiano (USC) Cantorian Counterexamples and the Limits of Thought Week 8 (11 June) Marianna Antonutti Marfori (Munich) On the Significance of Mathematical Hierarchies Week 11 (Friday, 6 July), 2pm, Francesca Poggiolesi (Paris) From logical to conceptual grounding: intelligibility and asymmetry of the notion Hilary 2018Week 2 (22 Jan) Michal Tomasz Godziszewski (Warsaw) On the Nonabsoluteness of Satisfaction Week 5 (12 Feb) Beau Mount (Oxford) Bivalence, Fidelity, and Large-Cardinal Reflection: Variations on a Kreiselian Theme Week 7 (26 Feb) Jean-Michel Salanskis (University of Paris Nanterre) A History of Non-Standard Approaches Week 8 (5 March) Cheryl Misak (University of Toronto) Frank Ramsey's Contributions to Mathematics and Its Foundations, with Biographical Asides Michaelmas 2017Week 2 (16 Oct) Leon Horsten (Bristol) Arbitrary natural numbers Week 3 (23 Oct) Kentaro Fujimoto (Bristol) Predicativism about classes Week 5 (6 Nov) Dan Waxman (Oxford and Hong Kong) Did Gentzen Prove the Consistency of Arithmetic? Week 6 (13 Nov) Salvatore Florio and Nicholas Jones (Birmingham) Unrestricted Quantification and the Structure of Type Theory Week 8 (27 Nov) Dora Achourioti (Amsterdam) Truth and Groundedness Trinity 2017Week 1 (24 April) Ursula Martin (Mathematical Institute, and Department of Computer Science, University of Oxford), Crafting the mathematical machine Week 1 (Thursday, 27 April) Peter Hylton (Department of Philosophy, University of Illinois at Chicago), Analyticity, yet again, 4.30-6.30 p.m., Thursday, in the Lecture Room of the Radcliffe Humanities Building, Woodstock Road, Oxford OX2 6GG Week 3 (8 May) Damian Rössler (Mathematical Institute, Oxford University), A few remarks on the development of mathematical theories Week 4 (15 May) Ian Rumfitt (All Souls College, Oxford), Neo-Fregeanism and the Burali-Forti Paradox Hilary 2017Week 2 (23 January) Volker Halbach (Oxford), The substitutional theory of logical consequence Week 3 (30 January) Catrin Campbell-Moore (Bristol), Limits in the Revision Theory Week 5 (13 February) Doukas Kapantais (Athens), “Consistency, a catchword making the second incompleteness theorem more spectacular than the first.” Comments on a comment by Georg Kreisel Week 6 (20 February) Øystein Linnebo (Oslo), Generality explained: A truth-maker semantics Week 8 (6 March) Donald Gillies (King’s College London), An Aristotelian approach for contemporary mathematics Michaelmas 2016Week 1 (10 October) Fenner Tanswell (Oxford), Proof, Rigour and Mathematical Virtues Week 2 (17 October) Thomas Schindler (Cambridge), Deflationism, Classes, and the Epistemology of Arithmetic Week 4 (31 October) Johannes Stern (Bristol), The Sky is the Limit: Reconsidering the Equivalence Scheme Week 5 (7 November) Crispin Wright (NYU), Intuitionism and the Sorites Week 7 (21 November) Walter Dean (Warwick), Incompleteness via paradox (and completeness) Trinity 2016Week 2 (2 May): Graham E Leigh (Technische Universität Wien), The Simple Truth Week 3 (9 May): Dana Scott (Carnegie Mellon and UC Berkeley), Why Mathematical Proof? Week 7 (6 June): James Studd (Oxford), The Caesar problem – towards a piecemeal solution Week 8 (13 June): Janine Gühler (Oxford), Aristotle on mathematical truth Hilary 2016W2 (25 January): Alex Paseau (Oxford), Capturing consequence W5 (15 February): Peter Simons (Trinity College Dublin), Collections W7 (29 February): Leon Horsten (Bristol), On the logic of truth W8 (7 March): Marcus Giaquinto (University College London), Mathematical proof: assessment of an empirical contribution to a philosophical dispute Michaelmas 2015W2 (19 October): Jeremy Gray (Open University and Warwick), Weyl and meaning W3 (26 October): Andrew Arana (University of Paris 1), Non- Euclidean geometry and geometrical content W6 (16 November): Alf Coles (Graduate School of Education, University of Bristol), A relational view of the concept of number; pedagogical, neuroscientific, and philosophical considerations W7 (23 November): Adrian Mathias (Cambridge and La Réunion), The silence. (This talk will be about the Cambridge reaction to Gödel's discoveries of 1930/31) W7 (26 November): Benedikt Löwe (Cambridge and Amsterdam), Modal logic and Multiverses. This talk is joint with the Logic Seminar and will take place in the Mathematical Institute C5 (next door to the Radcliffe Humanities Building). W8 (30 Nov): Juliette Kennedy (Cambridge and Helsinki), Entanglement and Formalism Freeness Revisited: Templates From Logic and Set Theory Trinity 2015W2: Kai Wehmeier, Truth in Modal Language W5: Michael Sheard, Weak Deflationism and a Transactional Approach to Truth W7: Owen Griffiths (joint with Alex Paseau), In Defence of Isomorphism Invariance W8: Jonathan Payne, Absolute Generality and Expressibility Hilary 2015 W1: Volker Halbach, Three Levels of Intensionality W3: Peter Koepke, Natural Formalism W5: Albert Visser, Collection, Lemmas, Reflection W7: John Crossley, Programs from Proofs W8: Matti Eklund, Incoherentism about Vagueness 27 Mar: Paolo Mancosu, In good company? On Hume’s Principle and assignment of numbers to infinite concept Michaelmas 2014W0, 6 Oct, 11am-1pm, Colin Matthew Room: Oswaldo Chateaubriand, Objects, Properties, and Structures W2, 20 Oct: Kobi Kremnitzer, Towards a Neo-Pragmatist Philosophy of (Pure) Mathematics W4: Gabriel Uzquiano, Class Forms of Cantor’s Theorem W6: John Wigglesworth, Naive Modal Set Theory W7: Leon Horsten, Set Probabilities Trinity Term 2014W1, 28 Apr: Timothy Williamson (Oxford), Semantic Paradoxes and Abductive Methodology Hilary Term 2014W3, 3 Feb: Øystein Linnebo (Oslo), Parsons on Modality in Mathematics Michaelmas Term 2013:W2, 21 Oct: Jon Litland (Oslo), The Downwards Justification Procedure and the Completeness and Stability of Intuitionistic Logic W4, 4 Nov: Robbie Williams (Leeds), Rational Illogicality Trinity Term 2013W1, 22 Apr: Eckehart Koehler (Vienna), Goedel vs. Carnap on Logical Syntax Hilary Term 2013W1, 14 Jan: Samson Abramsky (Oxford), Intensionality, definability and computation Michaelmas Term 2012W1, 8 Oct: Ralf Schindler (Münster), Dilemmas and Truths in Set Theory Trinity Term 2012W1, 23 Apr: “Third New College Logic Meeting” Hilary Term 2012W1, 16 Jan: Timothy Williamson (Oxford), Informal Validity and Intended Models in Modal Logic Michelmas Term 2011W1, 10 Oct: Lev Beklemishev (Lomonossov University Moscow), Provability Algebras: a Survey Trinity Term 2011W1: Daniel Isaacson, What is Achieved by Zermelo’s proof of quasi-categoricity of second-order ZF? Hilary Term 2011W1: Ian Rumfitt, Determinacy and Bivalence in Set Theory
last change: 31 May, 2024 |
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