• Publications •
Peer Reviewed Articles
Velilla, H. (2022). Francisco Sánchez and the Quaestio de Certitudine Mathematicarum: A sceptical approach. Endeavour, 46, 4, DOI: 10.1016/j.endeavour.2022.100848. ISSN: 1873-1929. Elsevier B. V.
Velilla, H. (2021). Credibility and evidence in the handling of SARS-CoV-2. History and Philosophy of the Life Sciences, HPLS, 43, 79, https://doi.org/10.1007/s40656-021-00433-3, ISSN: 1742-6316, Springer Nature Switzerland AG.
Vergara, G., Velilla, H., Henao, W., Saldarriaga, J., Murillo, G., & Vallejo, I. (2019). Los núcleos académicos del Departamento de Pedagogía: avances y retos para los nuevos programas de pregrado [The academicals cores of the Department of Education: advances and challenges for the new undergraduate programs]. Cuadernos Pedagógicos. (28), ISSN: 1657-5547, Faculty of Education, University of Antioquia, Medellín, 45-61.
Velilla, H. (2018). Sobre el carácter de generalidad de la didáctica general: La didáctica como meta-análisis [On the character of generality of Allgemeine Didaktik: The Didaktik as a meta- analysis]. Kénosis, Vol. 6(10), ISSN: 2346-1209, Catholic University of the East, Rionegro, 122- 149.
Velilla, H. (2018). Formas de matematización de la filosofía natural: Galileo y la redefinición sociocognitiva de sus matemáticas [Forms of mathematization of natural philosophy: Galileo and the socio–cognitive redefinition of his mathematics]. Estudios de Filosofía, (57), ISSN: 0121- 3628, University of Antioquia, Medellín, 59-93.
Velilla, H. (2018). La relación entre la didáctica teórico-formativa de Wolfgang Klafki y los estudios sociales de la ciencia [The relationship between Wolfgang Klafki's bildungstheoretischen didaktik and social studies of science]. Revista internacional de ciencias sociales, Vol. 7(1), ISSN: 2530-4909, Global Knowledge Academics, Madrid, 47-57.
Velilla, H. (2017). Formas de matematización de la filosofía natural: prácticas y objetos en el contexto galileano [Forms of mathematization of natural philosophy: practices and objects in Galilean context]. In: Avances de la matemática en Colombia (ISBN: 978-958-95081-1- 4), ed: Colombian Society of Mathematics, 235-236.
Velilla, H. (2015). Las matemáticas de los siglos XVI y XVII en la historiografía contemporánea de la ciencia [The mathematics of sixteenth and seventeenth centuries in contemporary historiography of science]. Colombian journal of philosophy of science, Vol, 15, (31), ISSN 0124- 4620, El Bosque University, Bogotá, 83-104.
Velilla, H. (2015). El debate sobre la certeza de las matemáticas en la filosofía natural de los siglos XVI y XVII (De quaestio de certitudine mathematicarum) [The debate about the certainty of mathematics in the natural philosophy of the sixteenth and seventeenth centuries (De quaestio de certitudine mathematicarum)]. Journal SAGA, (28), ISSN 0124-8480, National University of Colombia, Bogota, 12-25.
Velilla, H. (2013). La importancia de los estudios meta-científicos en la formación científica y la enseñanza de las ciencias. [The importance of the Meta-scientific studies in scientific training and teaching of sciences]. Journal Versiones, (4), ISSN 1794-127X, University of Antioquia, Medellín, 30-40.
Velilla, H. (2013). La ascensión de las matemáticas en la modernidad. Epistemología y teología voluntarista en Isaac Barrow. [The ascension of mathematics in the modernity. Epistemology and Theological Voluntarism in Isaac Barrow]. Journal Légein, (17), ISSN 1794-5291, University of Valle, Cali, 161-176.
Book chapter
Velilla, H. (2021). De Quaestio de Certitudine Mathematicarum en España y sus conexiones con la ciencia colonial [De Quaestio de Certitudine Mathematicarum in Spain and its connections with colonial science]. In: Respondiendo a los retos del siglo XXI desde la Filosofía Medieval: XVIII Congreso Latinoamericano de Filosofía Medieval: Actas (ISBN: 978-987-88-0973-1), ed: Ediciones RLFM,, 713-722.
Velilla, H. (2017). Formas de matematización de la filosofía natural: prácticas y objetos en el contexto galileano [Forms of mathematization of natural philosophy: practices and objects in Galilean context]. In: Avances de la matemática en Colombia (ISBN: 978-958-95081-1-4), ed: Colombian Society of Mathematics, 235-236.
Velilla, H. (2021). Credibility and evidence in the handling of SARS-CoV-2. History and Philosophy of the Life Sciences, HPLS, 43, 79, https://doi.org/10.1007/s40656-021-00433-3, ISSN: 1742-6316, Springer Nature Switzerland AG.
Vergara, G., Velilla, H., Henao, W., Saldarriaga, J., Murillo, G., & Vallejo, I. (2019). Los núcleos académicos del Departamento de Pedagogía: avances y retos para los nuevos programas de pregrado [The academicals cores of the Department of Education: advances and challenges for the new undergraduate programs]. Cuadernos Pedagógicos. (28), ISSN: 1657-5547, Faculty of Education, University of Antioquia, Medellín, 45-61.
Velilla, H. (2018). Sobre el carácter de generalidad de la didáctica general: La didáctica como meta-análisis [On the character of generality of Allgemeine Didaktik: The Didaktik as a meta- analysis]. Kénosis, Vol. 6(10), ISSN: 2346-1209, Catholic University of the East, Rionegro, 122- 149.
Velilla, H. (2018). Formas de matematización de la filosofía natural: Galileo y la redefinición sociocognitiva de sus matemáticas [Forms of mathematization of natural philosophy: Galileo and the socio–cognitive redefinition of his mathematics]. Estudios de Filosofía, (57), ISSN: 0121- 3628, University of Antioquia, Medellín, 59-93.
Velilla, H. (2018). La relación entre la didáctica teórico-formativa de Wolfgang Klafki y los estudios sociales de la ciencia [The relationship between Wolfgang Klafki's bildungstheoretischen didaktik and social studies of science]. Revista internacional de ciencias sociales, Vol. 7(1), ISSN: 2530-4909, Global Knowledge Academics, Madrid, 47-57.
Velilla, H. (2017). Formas de matematización de la filosofía natural: prácticas y objetos en el contexto galileano [Forms of mathematization of natural philosophy: practices and objects in Galilean context]. In: Avances de la matemática en Colombia (ISBN: 978-958-95081-1- 4), ed: Colombian Society of Mathematics, 235-236.
Velilla, H. (2015). Las matemáticas de los siglos XVI y XVII en la historiografía contemporánea de la ciencia [The mathematics of sixteenth and seventeenth centuries in contemporary historiography of science]. Colombian journal of philosophy of science, Vol, 15, (31), ISSN 0124- 4620, El Bosque University, Bogotá, 83-104.
Velilla, H. (2015). El debate sobre la certeza de las matemáticas en la filosofía natural de los siglos XVI y XVII (De quaestio de certitudine mathematicarum) [The debate about the certainty of mathematics in the natural philosophy of the sixteenth and seventeenth centuries (De quaestio de certitudine mathematicarum)]. Journal SAGA, (28), ISSN 0124-8480, National University of Colombia, Bogota, 12-25.
Velilla, H. (2013). La importancia de los estudios meta-científicos en la formación científica y la enseñanza de las ciencias. [The importance of the Meta-scientific studies in scientific training and teaching of sciences]. Journal Versiones, (4), ISSN 1794-127X, University of Antioquia, Medellín, 30-40.
Velilla, H. (2013). La ascensión de las matemáticas en la modernidad. Epistemología y teología voluntarista en Isaac Barrow. [The ascension of mathematics in the modernity. Epistemology and Theological Voluntarism in Isaac Barrow]. Journal Légein, (17), ISSN 1794-5291, University of Valle, Cali, 161-176.
Book chapter
Velilla, H. (2021). De Quaestio de Certitudine Mathematicarum en España y sus conexiones con la ciencia colonial [De Quaestio de Certitudine Mathematicarum in Spain and its connections with colonial science]. In: Respondiendo a los retos del siglo XXI desde la Filosofía Medieval: XVIII Congreso Latinoamericano de Filosofía Medieval: Actas (ISBN: 978-987-88-0973-1), ed: Ediciones RLFM,, 713-722.
Velilla, H. (2017). Formas de matematización de la filosofía natural: prácticas y objetos en el contexto galileano [Forms of mathematization of natural philosophy: practices and objects in Galilean context]. In: Avances de la matemática en Colombia (ISBN: 978-958-95081-1-4), ed: Colombian Society of Mathematics, 235-236.
Talks (selection)
2024: A Debate about Cartography between Cosmographers and Pilots in the Spanish Empire. In: Forum Descartes, Paris, France.
2023: The Padrón Real, longitude and magnetic variation as the core of mathematical cosmography in the Spanish Empire. In: Natura incognita. Luoghi, metodi e rappresentazioni nello studio della natura, Conference of the Italian Society for the History of Science, Naples, Italy.
2023: Making Mathematical Certainty to Solve the Magnetic Variation in Long-Distance Oceanic Voyages of the Spanish Empire. In: Making Evidence and Crafting Gravitational Knowledge in the Early Modern World, The University of Warwick, Centre for the Study of the Renaissance, England.
2023: Traducciones, manuales del arte de navegar y práctica matemática en la cosmografía española (1500-1600). In: Seminario de Filosofía e Historia de la Ciencia, Instituto de Filosofía, Universidad de Antioquia.
2023: Mathematics and colonialism: certainty and usefulness of mathematical knowledge in the Spanish Empire. In: Kolloquium zur Wissenschaftstheorie und -geschichte, Institut für Philosophie I, Ruhr-Universität Bochum.
2022: Mathematics and Empire: Certainty and the Usefulness of Knowledge in Early Modern Spanish Kingdoms, a Roundtable. In: Fordham University, Online Conference of the Renaissance Society of America, New York, USA.
2022: Colonialism, certainty, and utility of mathematics in practical institutions in Spain (1500-1700). In: 10th Conference of the European Society for the History of Science, Brussels, Belgium.
2022: De Quaestio de certitudine mathematicarum in the Spanish Empire. In: Postgraduate Conference of the British Society for the History of Science, London, England (online because of COVID-19).
2022: Cosmographic and amalgamation practices in the New Kingdom of Granada and Potosí as a critical approach to globalization. In: Between the Universal and the Pluriversal in Times of Globalization, Lateinamerika-Institut, Freie Universität Berlin, Germany (online because of COVID-19).
2021: Science and Colonialism: The mathematization of Natural Philosophy in the policies regarding the Spanish colonization of the New World. In: Seminar MATHESIS, École Normale Supérieure-PSL, Paris – France.
2023: The Padrón Real, longitude and magnetic variation as the core of mathematical cosmography in the Spanish Empire. In: Natura incognita. Luoghi, metodi e rappresentazioni nello studio della natura, Conference of the Italian Society for the History of Science, Naples, Italy.
2023: Making Mathematical Certainty to Solve the Magnetic Variation in Long-Distance Oceanic Voyages of the Spanish Empire. In: Making Evidence and Crafting Gravitational Knowledge in the Early Modern World, The University of Warwick, Centre for the Study of the Renaissance, England.
2023: Traducciones, manuales del arte de navegar y práctica matemática en la cosmografía española (1500-1600). In: Seminario de Filosofía e Historia de la Ciencia, Instituto de Filosofía, Universidad de Antioquia.
2023: Mathematics and colonialism: certainty and usefulness of mathematical knowledge in the Spanish Empire. In: Kolloquium zur Wissenschaftstheorie und -geschichte, Institut für Philosophie I, Ruhr-Universität Bochum.
2022: Mathematics and Empire: Certainty and the Usefulness of Knowledge in Early Modern Spanish Kingdoms, a Roundtable. In: Fordham University, Online Conference of the Renaissance Society of America, New York, USA.
2022: Colonialism, certainty, and utility of mathematics in practical institutions in Spain (1500-1700). In: 10th Conference of the European Society for the History of Science, Brussels, Belgium.
2022: De Quaestio de certitudine mathematicarum in the Spanish Empire. In: Postgraduate Conference of the British Society for the History of Science, London, England (online because of COVID-19).
2022: Cosmographic and amalgamation practices in the New Kingdom of Granada and Potosí as a critical approach to globalization. In: Between the Universal and the Pluriversal in Times of Globalization, Lateinamerika-Institut, Freie Universität Berlin, Germany (online because of COVID-19).
2021: Science and Colonialism: The mathematization of Natural Philosophy in the policies regarding the Spanish colonization of the New World. In: Seminar MATHESIS, École Normale Supérieure-PSL, Paris – France.
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