I’m happy to provide copies of any of my works. Email me at F.Tanswell (at symbol) TU-Berlin.de
My Google Scholar profile can be found here: link.
Books
(2024) Mathematical Rigour and Informal Proof. Cambridge Elements in the Philosophy of Mathematics. Cambridge University Press.
Link
Papers
Tanswell, F. S. (2015). A problem with the dependence of informal proofs on formal proofs. Philosophia Mathematica, 23(3), 295-310.
Link
Tanswell, F. S. (2016). Saving Proof from Paradox: Gödel’s Paradox and the Inconsistency of Informal Mathematics. In Andreas, H. & Verdée, P. (eds.) Logical Studies of Paraconsistent Reasoning in Science and Mathematics, Trends in Logic 45, Springer International Publishing.
Link
Tanswell, F. S. (2018). Conceptual Engineering for Mathematical Concepts. Inquiry: An Interdisciplinary Journal of Philosophy 61, pp. 881-913.
Link
Rittberg, C. J., Tanswell, F. S., & Van Bendegem, J. P. (2020). Epistemic injustice in mathematics. Synthese, 197(9), 3875-3904.
With Colin Rittberg and Jean Paul Van Bendegem.
Link
Lane, L., Martin, U., Murray-Rust, D., Pease, A., & Tanswell, F. S. (2019) “Journeys in Mathematical Landscapes: Genius or Craft?”. In Gila Hanna, David Reid, and Michael de Villiers (eds.) Proof technology: Implications for teaching, Springer, pp. 197-212.
With Ursula Martin, Alison Pease, Lorenzo Lane, and Dave Murray-Rust.
Link
Tanswell, F. S., & Kidd, I. J. (2021). Mathematical practice and epistemic virtue and vice. Synthese, 199(1-2), 407-426.
With Ian James Kidd.
Link
Tanswell, F. S., & Rittberg, C. J. (2020). Epistemic injustice in mathematics education. ZDM, 52(6), 1199-1210.
With Colin Rittberg.
Link
Pease, A., Martin, U., Tanswell, F. S., & Aberdein, A. (2020). Using crowdsourced mathematics to understand mathematical practice. ZDM, 52(6), 1087-1098.
With Alison Pease, Ursula Martin, and Andrew Aberdein.
Link
Weber, K., & Tanswell, F. S. (2022). Instructions and recipes in mathematical proofs. Educational Studies in Mathematics, 111(1), 73-87.
Joint work with Keith Weber.
Link
Habgood-Coote, J., & Tanswell, F. S. (2023). Group knowledge and mathematical collaboration: A philosophical examination of the classification of finite simple groups. Episteme, 20(2), 281-307.
With Joshua Habgood-Coote.
Link
Tanswell, F. S. (2022). The Concept of Extinction: Epistemology, Responsibility, and Precaution. Ethics, Policy & Environment, 1-22.
Link
Tanswell, F. S., & Inglis, M. (2023). “The Language of Proofs: A Philosophical Corpus Linguistics Study of Instructions and Imperatives in Mathematical Texts” In Bharath Sriraman (ed.) Handbook of the History and Philosophy of Mathematical Practice. Springer.
With Matthew Inglis.
(link) (free preprint)
Sa, R., Alcock, L., Inglis, M., & Tanswell, F. S. (2023). Do mathematicians agree about mathematical beauty?. Review of Philosophy and Psychology, 1-27.
With Tuya Sa, and with Lara Alcock, and Matthew Inglis.
(link)
Sangwin, C., & Tanswell, F. S. (2023). Developing new picture proofs that the sums of the first n odd integers are squares. The Mathematical Gazette, 107(569), 249-262.
With Chris Sangwin.
(link).
Tanswell, F., Davies, B., Jones, I., & Kinnear, G. (2023). Comparative judgement for experimental philosophy: A method for assessing ordinary meaning in vehicles in the park cases. Philosophical Psychology, 1-21.
Tanswell, F. S., Larvor, B., & Rittberg, C. J. (2025). Kneebone and Lakatos: at the roots of a dialectical philosophy of mathematics. HOPOS: The Journal of the International Society for the History of Philosophy of Science, 15(1).
PhD Thesis
Tanswell, F. S. (2016). Proofs, Rigour and Informality: A Virtue Account of Mathematical Knowledge.
Link
Book Reviews
(2020) Book Review of 99 Variations on a proof by Philip Ording, British Journal for the History of Mathematics. Link
(2020) Book Review of A Concise History of Mathematics by John Stillwell, Metascience. Link
Drafts
In the following link you can find the draft papers listed below. Link
“Go Forth and Multiply: On Actions, Instructions and Imperatives in Mathematical Proofs”, to appear in Joshua Brown and Otávio Bueno (eds.) Essays on the Philosophy of Jody Azzouni, Cham: Springer.
Fenner Stanley Tanswell 