** Invited talks (48 in total):**

- “Against the time travel of social constructs”, Aachen-Darmstadt-Stuttgart Colloquium, TU Darmstadt. July 2024.
- “Commentary on Pii Telakivi: From Extended Cognition to Extended Consciousness”, Expanding Minds Series, Macquarie University, Sydney. March 2024.
- “The cultural evolution of number concepts”, Philosophy Seminar, Macquarie University, Sydney. March 2024.
- “From numerical cognition to the epistemology of arithmetic – a pre-book launch talk”, Expanding Minds Series, University of Wollongong. February 2024.
- “Arithmetic and proto-arithmetic: the need for clear conceptual distinctions in computational cognitive sciences”, World Logic Day 2024, UFMG Belo Horizonte. January 2024.
- “Arithmetic and proto-arithmetic: the need for clear conceptual distinctions in computational cognitive sciences”, Seminar talk at Warsaw University of Technology. November 2023.
- “Scaffolding as a useful notion in the cognitive sciences”, Round table at the Käte Hamburger Kolleg “Cultures of Research, RWTH Aachen. November 2023.
- “Recognising artificial mathematical intelligence”, University of Oslo. August 2023.
- “Arithmetic and proto-arithmetic: the need for clear conceptual distinctions in computational cognitive sciences”, CSS-HLRS-Darmstadt Colloquium, RWTH Aachen. June 2023.
- “How numerical symbols shape arithmetical cognition”, To the Symbols Themselves Conference, University of Cologne. June 2023.
- “Recognising artificial mathematical intelligence”, Munich Center for Mathematical Philosophy, LMU Munich. May 2023.
- “Recognising artificial mathematical intelligence”, Varieties of Science workshop, Bucharest. May 2023.
- “Arithmetic and proto-arithmetic: the need for clear conceptual distinctions in research on numerical cognition”, University of Bucharest. May 2023.
- “The counting animal”, Aalborg University, Copenhagen. April 2023.
- “Recognising artificial mathematical intelligence”, Macquarie University, Sydney. February 2023.
- “Recognising artificial mathematical intelligence”, CSS-HLRS Colloquium on Philosophy of Computational Sciences, RWTH Aachen. December 2022.
- “Theorem proving in artificial neural networks”, AiAgora talk, Technical University Delft, March 2022.
- “Return of the cicadas: Why the prime number nymphal stages are a paradigmatic case of mathematical explanation in science – if any”, CSS-HLRS Colloquium on Philosophy of Computational Sciences, RWTH Aachen. January 2022.
- “Developing artificial human-like arithmetical intelligence (and why)”, Cultures of Research – Digitalization of Research Lecture Series, RWTH Aachen. January 2022.
- “Descriptive Complexity, Computational Tractability, and the Logical and Cognitive Foundations of Mathematics”, Seminar in logic and philosophy of mathematics, University of Helsinki. December 2021.
- “Mathematical objectivity”, Philosophy of mathematics in Finland conference, Tampere. November 2021.
- “Mathematical naturalism”, Philosophy of mathematics lecture, University of Helsinki, September 2021.
- “Mathematical objectivity, without mathematical objects”, Philosophy of Mathematics seminar, University of Pavia, Italy. Given online due to COVID-19, June 2020.
- “Early numerical cognition and mathematical processes”, Philosophy of Mathematical Cognition Seminar, Ruhr-Universität Bochum, Germany. Given online due to COVID-19, April 2020.
- “A Fresh Look at Research Strategies in Computational Cognitive Science: The Case of Enculturated Mathematical Problem Solving”, Culture and Cognition Reading Group, Macquarie University, Sydney, December 2019 (with Regina E. Fabry).
- “Proto-arithmetic, number concept acquisition and mid-level cognition”, Workshop on Mid-Level Cognition: Norms, Habits and Narrative, University of Wollongong, Australia, December 2019.
- “Objectivity in Mathematics without Mathematical Objects”, Macquarie University, Sydney, November 2019.
- “From Computational to Cognitive Complexity: Considerations from Mathematical Problem Solving”, Colloquium Philosophy Meets Cognitive Science, Ruhr University Bochum, May 2019.
- “From computational to cognitive complexity: Considerations from mathematical problem solving”, McGill University, Montreal, April 2019.
- “Objectivity without Objects”, Ontology in arithmetic and logic workshop, UQAM, Montreal, April 2019.
- “Computational and cognitive complexity in mathematical problem solving”, Grolog colloquium, University of Groningen, May 2018.
- “Computational and cognitive complexity in mathematical problem solving”, ILLC Talk, University of Amsterdam May 2018.
- “Computational and cognitive complexity in mathematical problem solving”, Munich Center for Mathematical Philosophy, LMU Munich, April 2018.
- “Cognitive complexity and mathematical problem solving”, Seminar in Philosophy of Logic and Mathematics, Helsinki, November 2017.
- “The cognitive basis of actual infinity”, Logic seminar at the Department of Philosophy, Helsinki, March 2017.
- “Processes, Metaphors and Numerical Cognition”, Philosophy research seminar, Helsinki, February 2017.
- “The cognitive basis of actual infinity”, Logic seminar at the Department of Mathematics and Statistics, Helsinki, November 2016.
- “An empirically feasible approach to the philosophy of mathematics”, University of California Irvine, C-ALPHA talk, February 2015.
- “An empirically feasible approach to the philosophy of mathematics”, University of Tampere research seminar, October 2014.
- “Origins of Numerical Cognition and the Epistemology of Arithmetic,” ECAP2014, Bucharest, August 2014.
- “Empirically Feasible Epistemology of Arithmetic,” Helsinki-Tartu Workshop in Theoretical Philosophy, University of Tartu, June 2013.
- “Empirically Feasible Epistemology of Arithmetic,” Bucharest Colloquium for Analytic Philosophy, University of Bucharest, June 2012.
- “Empirical Research and the Philosophy of Mathematics,” University of Bucharest, January 2012.
- “Arithmetical Truth since Frege,” Frege Colloquium, University of Bucharest, May 2011.
- “The Empirical Study of Mathematical Knowledge,” The Munich Center for Mathematical Philosophy, November 2011.
- “Empiricism and the Philosophy of Mathematics,” The Philosophy of Science Seminar, University of Helsinki, February 2011.
- “What Can We Deduce from Gödel’s Incompleteness Theorems in Philosophy?,” The Philosophical Society of Finland, October 2010.
- “Truth, Proof and Gödelian Arguments,” Public examination of Doctoral Dissertation, University of Helsinki, April 2009.

**Contributed talks (33 in total):**

- “Peirce’s philosophy of notations and the trade-offs in numeral symbol systems”, Diagrams24, Münster.
- “Theorem proving with and by AI”, Conference “The era of artificial intelligence and the merging of human and machine”, University of Sassari, Alghero. September 2024.
- “From numerical cognition to epistemology of arithmetic”, Workshop “Epistemology of Arithmetic: New Philosophy for New Times”, RWTH Aachen University. May 2024.
- “On radical enactivist accounts of arithmetical cognition”, 3rd Joint Meeting of the Society for Philosophy and Psychology (SPP) and the European Society for Philosophy and Psychology (ESPP), Milan. July 2022
- “How numerical symbols shape arithmetical cognition”, The 4
^{th}Conference of the International Association for Cognitive Semiotics, Aachen. June 2022. - “Theorem proving in deep artificial neural networks”, Workshop: Explainable AI and explanations in AI, RWTH Aachen. February 2022.
- “The Feedback Loops Linking Mathematical Practices and Cognitive Tools: Considerations on Cognitive Innovation”, ECAP10, Utrecht, The Netherlands, August 2020 (with Regina E. Fabry). Cancelled due to COVID-19.
- “The Interplay of Biological and Cultural Components in the Acquisition of Natural Number Concepts”, Mind: Coevolution of Biology and Culture, Cres, Croatia, September 2019.
- “A fresh look at research strategies in computational cognitive science: The case of enculturated mathematical problem solving”, EuroCogSci 2019, University of Bochum, September 2019 (with Regina E. Fabry).
- “Complexity of Mathematical Cognitive Tasks”, 16th International Congress of Logic, Methodology and Philosophy of Science and Technology, University of Prague, August 2019.
- “Cognitive and computational complexity in mathematical problem solving”, Simplicities and Complexities, University of Bonn, May 2019.
- “How Cognitive Tools Transform our Cognitive Capacities in Mathematical Problem Solving (and Beyond): Cumulative Cultural Evolution and Enculturation”, Retuning Cognition with a Pair of Rocks, University of Pittsburgh, March 2019 (with Regina E. Fabry).
- “The Cognitive Role of Embodied Symbol Manipulation in Mathematical Problem Solving”, Getting Real About Words And Numbers, Antwerp, October 2018 (with Regina E. Fabry).
- “Of Levels, Competence, and Performance: Towards an Explanation of Enculturated Mathematical Problem Solving”, Models of Explanation, Turin, June 2018 (with Regina E. Fabry).
- “Cognitive complexity and mathematical problem solving”, Ninth French Philosophy of Mathematics Workshop, Nancy, October 2017.
- “Cognitive complexity and mathematical problem solving”, Third International Conference on Philosophy of Mind, Braga, October 2017.
- “Cognitive complexity and mathematical problem solving”, Fourth Philosophy of Language and Mind conference, Bochum, September 2017.
- “What is arithmetic”, Ninth European Conference of Analytic Philosophy, Munich, August 2017.
- “Early numerical cognition and mathematical processes”, Workshop: From basic cognition to mathematical practice, Seville, September 2016.
- “Mathematical cognition as enculturation”, European Society for Philosophy and Psychology, St. Andrews, August 2016.
- “Number-cognition: bootstrapping of the exact number concepts”, Symposium of Cognition, Logic and Communication, Riga, December 2015.
- “Metaphorical thinking in mathematics”, APMP colloquium Paris, November 2015.
- “From proto-arithmetical to arithmetical: the four roles language plays in the development of arithmetical thinking”, CLMPS Helsinki, August 2015.
- “Empirically Feasible Epistemology of Arithmetic,” Philosophy of mathematics: objectivity, cognition, and proof, Milan May/June 2014.
- “The Great Gibberish: Mathematics in Western Popular Culture,” Mathematical Cultures 3, London, April 2014.
- In Search of Aleph-null – How Infinity Can Be Created,” Foundations of the Formal Sciences VIII: History and Philosophy of Infinity, University of Cambridge, September 2013.
- “Foundational Matters in Higher Mathematics Education,” Cultures of Mathematics and Logic, Sun Yat-Sen University, Guangzhou, November 2012.
- “Perspectives to Empirical Philosophy of Mathematics,” XXVI Varna International Philosophical School, June 2010.
- “Epistemic Actions,” Seminar of Logic, University of Helsinki, March 2010.
- “The Meaning of Logical Connectives,” Post-graduate Seminar, University of Helsinki, March 2008.
- “Truth and Proof,” Post-graduate Seminar, University of Helsinki, November 2007.