Selected Publications

• J. L. Gastaldi, S. Jarvis, Th. Seiller, J. Terilla (2026). “A calculus of types in Isbell nuclei”. arXiv:2606.03369.
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• J. L. Gastaldi, S. Jarvis, Th. Seiller, J. Terilla (2026). “Projective metric geometry of tropical nuclei: gap matrices, event loci, and order chambers”. arXiv:2601.07900.
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• J. L. Gastaldi, J. Terilla, L. Malagutti, B. DuSell, T. Vieira, and R. Cotterell. (2025) “The Foundations of Tokenization: Statistical and Computational Concerns”. ICLR 2025. arXiv: 2407.11606
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• T.-D. Bradley, J. L. Gastaldi and J. Terilla (2024). “The structure of meaning in language: parallel narratives in linear algebra and category theory”. Notices of the AMS (February 2024). DOI: 10.1090/noti2868
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• J. L. Gastaldi and L. Pellissier (2021). “The calculus of language: explicit representation of emergent linguistic structure through type-theoretical paradigms”. In: Interdisciplinary Science Reviews 46.4 (2021), pp. 569–590. DOI: 10.1080/03080188.2021.1890484.
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• J. L. Gastaldi (2021). “Why Can Computers Understand Natural Language?” In: Philosophy & Technology 34.1 (2021), pp. 149–214. ISSN: 2210-5441. DOI: 10.1007/s13347-020-00393-9.
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Publications

• T. Vieira, B. LeBrun, M. Giulianelli, J. L. Gastaldi, B. DuSell, J. Terilla, T. J. O’Donnell, and R. Cotterell. (2025) “From Language Models over Tokens to Language Models over Characters”. Proceedings of the 42nd International Conference on Machine Learning (ICML), Vancouver, Canada. PMLR 267, 2025.
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• T. Vieira, T. Liu, C. Pasti, Y. Emara, B. DuSell, B. LeBrun, M. Giulianelli, J. L. Gastaldi, T. J. O’Donnell, and R. Cotterell. (2025) “Language Models over Canonical Byte-Pair Encodings”. Proceedings of the 42nd International Conference on Machine Learning (ICML), Vancouver, Canada. PMLR 267, 2025.
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• M. Giulianelli, L. Malagutti, J. L. Gastaldi, B. DuSell, T. Vieira, and R. Cotterell (2024). “On the Proper Treatment of Tokenization in Psycholinguistics”. Proceedings of the 2024 Conference on Empirical Methods in Natural Language Processing (EMNLP), pages 18556–18572, November 12-16, 2024
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• J. L. Gastaldi (2024). “Computing Cultures: Historical and Philosophical Perspectives”. In: Minds and Machines 34.1 (2024), pp. 1–10. ISSN : 1572-8641. DOI : 10.1007/s11023-023-09653-x
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• T.-D. Bradley, J. L. Gastaldi and J. Terilla (2024). “The structure of meaning in language: parallel narratives in linear algebra and category theory”. Notices of the AMS (February 2024). DOI: 10.1090/noti2868
  [PDF]

• J. L. Gastaldi (2024). “How to Do Maths with Words. Neural Machine Learning Applications to Mathematics and Their Philosophical Significance”. In: Handbook of the History and Philosophy of Mathematical Practice. Ed. by B. Sriraman. Cham: Springer International Publishing, 2024, pp. 3191–3226. ISBN: 978-3-031-40846-5. DOI: 10.1007/978-3-031-40846-5_142.
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• J. L. Gastaldi (2024). “Introduction to the Semiology of Mathematical Practices”. In: Handbook of the History and Philosophy of Mathematical Practice. Ed. by B. Sriraman. Cham: Springer International Publishing, 2024, pp. 2955–2970. ISBN: 978-3-031-40846-5. DOI: 10.1007/978-3-031-40846-5_130.
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• J. L. Gastaldi, R. Moot, Ch. Rétoré (2024). “Le Contexte en Traitement Automatique des Langues”. In: Le contexte en question. Ed. by G. Hassler. ISTE, 2024. ISBN: 9781836120032.
  [Please contact me to obtain a copy]

• J. L. Gastaldi (2024). “De Morgan’s De Morgan’s Laws: Duality in the Emergence of Formal Logic”. In: Duality in 19th and 20th Century Mathematical Thinking. Ed. by R. Krömer and E. Haffner. Cham: Springer Nature Switzerland, 2024, pp. 61–99. ISBN: 978-3-031-59797-8. DOI: 10.1007/978-3-031-59797-8_3.
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• V. Zouhar, C. Meister, J. L. Gastaldi, L. Du, M. Sachan, R. Cotterell (2023). “Tokenization and the Noiseless Channel”. In Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 5184–5207, Toronto, Canada. Association for Computational Linguistics.
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• V. Zouhar, C. Meister, J. L. Gastaldi, L. Du, T. Vieira, M. Sachan, R. Cotterell (2023). “A Formal Perspective on Byte-Pair Encoding”. In Findings of the Association for Computational Linguistics: ACL 2023, pages 598–614, Toronto, Canada. Association for Computational Linguistics.
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• J. L. Gastaldi (2022). “Boole’s Untruth Tables: The Formal Conditions of Meaning Before the Emergence of Propositional Logic”. In: Béziau, JY., Desclés, JP., Moktefi, A., Pascu, A.C. (eds) Logic in Question. Studies in Universal Logic. Birkhäuser, Cham. DOI: 10.1007/978-3-030-94452-0_7.
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• J. L. Gastaldi (2021). “Why Can Computers Understand Natural Language?” In: Philosophy & Technology 34.1 (2021), pp. 149–214. ISSN: 2210-5441. DOI: 10.1007/s13347-020-00393-9.
  [PDF]

• J. L. Gastaldi and L. Pellissier (2021). “The calculus of language: explicit representation of emergent linguistic structure through type-theoretical paradigms”. In: Interdisciplinary Science Reviews 46.4 (2021), pp. 569–590. DOI: 10.1080/03080188.2021.1890484.
  [PDF]

• J. L. Gastaldi and L. Pellissier (2020). “The Logic of Language: from the Distributional to the Structuralist Hypothesis through Types and Interaction”. Preprint. Dec. 2020.
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• J. L. Gastaldi (2019). “L’archéologie à l’épreuve des savoirs formels.Mathématiques et formalisation dans le projet d’une archéologie des savoirs”. In: L’épistémologie historique. Histoire et méthodes. Ed. by J.-F. Braunstein, I. M. Diez, and M. Vagelli. Éditions de la Sorbonne, 2019.
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• J. L. Gastaldi (2016). “Frege’s Habilitationsschrift: Magnitude, Number and the Problems of Computability”. In: History and Philosophy of Computing. 2016, pp. 168–185. DOI: 10.1007/978-3-319-47286-7_12.
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• J. L. Gastaldi (2016). “Par-delà métaphore et littéralité. Le statut des mathématiques dans l’œuvre de Deleuze”. In: Implications Philosophiques (2016).
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• J. L. Gastaldi (2015). “Le sens d’une Logique du Sens: Deleuze, Frege et le rendez-vous manqué”. In: Gilles Deleuze: Politiques de la Philosophie. Ed. by A. Jdey. Métis Press, 2015, pp. 205–227.
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• J. L. Gastaldi (2014). “Une archéologie de la logique du sens : arithmétique et contenu dans le processus de mathématisation de la logique au XIXe siècle”. PhD Dissertation. Université Michel de Montaigne - Bordeaux III, Sept. 2014.
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• J. L. Gastaldi (2011). “La politique avant l’être. Deleuze, ontologie et politique”. In: Cités 40 (2009), pp. 59–73. ISSN: 12995495, 19696876.
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• J. L. Gastaldi (2011).“L’esthétique au sein des mots: Discours, figure, ou le renouvellement du projet critique”. In: Le Moment philosophique des années 1960 en France. Ed. by P. Maniglier. Presses Universitaires de France, 2011, pp. 537–556.
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• J. L. Gastaldi (2010). “Qu’est-ce qu’une figure? Lyotard et le problème du fondement d’une théorie de l’expression”. In: Lyotard à Nanterre. Ed. by C. Pagès. Continents philosophiques. Paris: Klincksieck, 2010. ISBN: 978-2-252-03774-4.

Edited Works

• J. L. Gastaldi (ed.) (2024). Section “Semiology of Mathematical Practice” (ed.). In: Handbook of the History and Philosophy of Mathematical Practice. Ed. by B. Sriraman. Cham: Springer International Publishing, 2024, pp. 2955–3226. ISBN: 978-3-031-40845-8. DOI: 10.1007/978-3-031-40846-5.

• J. L. Gastaldi and L. Pellissier (eds.) (2024). “Computing Cultures: Historical and Philosophical Perspectives”. In: Minds and Machines 34.1 (2024). Special Issue. ISSN: 1572-8641.

Submitted

• J. L. Gastaldi, S. Jarvis, Th. Seiller, J. Terilla (2026). “Projective metric geometry of tropical nuclei: gap matrices, event loci, and order chambers”. arXiv:2601.07900.
  [PDF]

• J. L. Gastaldi. “Content from Expressions: The Place of Textuality in Deep Learning Approaches to Mathematics”. Under review at Synthese.
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Outreach

• J. L. Gastaldi and B. Serra (2020). “Swipe, ou l’écriture tout court.” In: Formules 22 (2020).
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• J. L. Gastaldi (2015). “La Ville Lumière”. In: Atlas Solitude. Ed. by S. Editions. Solitude Editions, 2015. Chap. Akademie Schloss Solitude, pp. 199–203.
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• J. L. Gastaldi (2014). “Superpositions”. Texte pour l’exposition de Michaël Sellam: des choses, de l’espace, Galerie Vasistas. 2014.
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• J. L. Gastaldi (2013).“Bérénice Serra: AD64”. In: Infra 7 (2013).
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• J. L. Gastaldi (2013). “Ouverture”. In: Quinze ans d’art à HEC. Espace d’art contemporain HEC, 2013, pp. 102–105.
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• J. L. Gastaldi and D. Alvaro. Spanish translation of: Jean-Luc Nancy, “Les différences parallèles (Deleuze & Derrida)”. In: Por amor a Derrida. Ed. by M. Cragnolini. La Cebra, 2008, pp. 249–262.
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• J. L. Gastaldi (2007). “De l’ “intéressant” dans l’art”. In: L’exposition des idées. E.N.S./Villa Arson, 2007.
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• J. L. Gastaldi and S. Lorenzi (2007). “Rencontre”. In: L’exposition des idées. E.N.S./Villa Arson, 2007.
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