[Albrecht Heeffer]




















About Me






Publications of Albrecht Heeffer

see also: Preprints and publications of the Center for Logic and Philosophy of Science


A Primer on Expert Systems (with F. Vandamme, D. Vervenne, D. De Waele en M. Theunis) 1985, De Sikkel, Antwerpen.

As editor

Non-Classical Logics for Expert Systems. CCAI, Journal for the Integrated Study of AI, Cognitive Science and Applied Epistemology Vol 3, 1-2, 1986.

Listed in ISI


“The Source of Problems in Euler’s Algebra”, Bulletin of the Belgian Mathematical Society - Simon Stevin, 13 (5), Jan 2007, pp. 949-952.

“Chunking as a Method for Concept Acquisition”. (with Marc Leman) Proceedings of the 7'th European Conference on Artificial Intelligence, 1986, pp. 79-83.

“An overview of expert systems”, (with Fernand Vandamme)  Proceedings of Expert Systems: Available Hard- and Software, SCK Mol, Belgium, 18-19 June 1986, pp. 1-12.

In journals

“Text production reproduction and appropriation within the abbaco tradition: a case study” Sources and Commentaries in Exact Sciences, 9, pp. 101-145.

“The emergence of symbolic algebra as a shift in predominant models”, Foundations of Science, 13 (2), June 2008, pp. 149-161.

 “Mathematics Education Through Lesson Study in the Asia-Pacific Region”, History and Pedagogy of Mathematics  Newsletter, 66, Nov. 2007, pp. 4-6.

 “The Tacit Appropriation of Hindu Algebra in Renaissance Practical Arithmetic”, Gaņita Bhārāti, vol. 29, 1-2, 2007, pp. 1-60.

Father Henri Bosmans (S.J.) “A Belgian pioneer in the history of mathematics”, History and Pedagogy of Mathematics  Newsletter, 65, Mar. 2007, pp. 12-15.

“The Logic of Disguise: Descartes’ Discovery of the Sine Law”,  Historia Scientiarum. International Journal of the History of Science Society of Japan, 16 (2), November 2006, pp. 144-165.

Récréations mathématiques (1624), A Study on its Authorship, Sources and Influence”, Gibecière, 1 (2), Summer 2006, New York, pp. 77-167.

“Introduction to non-classical logics”,  CCAI, Journal for the Integrated Study of AI, Cognitive Science and Applied Epistemology, Vol. 3, 1, (1986) pp. 3-5.

“Two Prolog Implementation for Personal Computers”, CCAI, Journal for the Integrated Study of AI, Cognitive Science and Applied Epistemology, Vol. 3, 1, (1986)  pp. 141-152.

“Prospects for the expert system market” CCAI, Journal for the Integrated Study of AI, Cognitive Science and Applied Epistemology, Vol. 3, 1-2, (1986) pp. 135-140.

“Production systems”, CCAI, Journal for the Integrated Study of AI, Cognitive Science and Applied Epistemology, Vol. 2, 2, (1985) pp 31-61.


Chapters in books

“Over beelden, figuren en symbolen” in J. Braeckman (ed.) (to appear)

“On the Nature and Origin of Algebraic Symbolism” in B. van Kerckhove (ed.) Perspectives on Mathematical Practice, College Publications, London (to appear)

The Reception of Ancient Indian Mathematics by Western Historians” in B.S. Yadav en M. Mohan (ed.) Ancient Indian Leaps in the Advent of Mathematics, Birkhauser, Basel, (to appear March 2009, ISBN 978-0817646943).

A Conceptual Analysis of Early Arabic Algebra” in S. Rahman, T. Street and H. Tahiri (eds.) The Unity of Science in the Arabic Tradition: Science, Logic, Epistemology and their Interactions, Kluwer Academic Publishers, Dordrecht, 2008, pp. 89-128.

 “Abduction as a Strategy for Concept Formation in Mathematics: Cardano Postulating a Negative” in Olga Pombo and Alexander Gerner (eds.) Abduction and the Process of Scientific Discovery, Colecçáo Documenta, Centro de Filosofia das Ciências da Universidade de Lisboa, Lisboa, pp. 179-194, 2007.

 “Learning concepts through the history of mathematics. The case of symbolic algebra”, in K. François and J.P Van Bendegem (eds.) Philosophical Dimensions in Mathematics Education, Springer, Dordrecht, pp. 83-103, 2007.

“Kepler’s near discovery of the sine law: A qualitative computational model”, In: Claudio Delrieux & Javier Legris, (eds.) Computer Modeling of Scientific Reasoning, Universidad Nacional Del Sur. EDIUNS, Bahia Blanca, Argentinia, 2003, pp. 93-102.

“Analysis of verbal laboratory knowledge by means of formal systems”, (with D. Vervenne, D. Dewaele en F; Vandamme) in F. Lowenthal (ed.) Language and Mathematics, Interactions between their Developments, NVCD, Université de Mons, 1984, pp. 61-80.


Contributions to international conferences

“Estienne de la Roche’s appropriation of Chuquet (1484)” in Hermann Hunger (ed.) Book of Abstracts, In 3rd International Conference of the European Society for the History of Science, Vienna, Sept. 10-12, 2008, p. 36.

“Negative numbers as an epistemic difficult concept. Some lessons from history” in Costas Tzanakis (ed.) History and Pedagogy of Mathematics. Satellite Meeting of International Congress on Mathematical Education 11, 14 - 18  July  2008, Centro Cultural del México Contemporáneo, Mexico City, México, CD-ROM, Section I, 13, pp. 1-13.

“The role of typographical fixity in the acceptance of algebraic symbolism in sixteenth-century Europe” in Michal Kokowski (ed.) The Global and the Local. The History of Science and the Cultural Integration of Europe. Proceedings of the 2nd International Conference of the European Society for the History of Science, Cracow, Poland, Wydawnictwo Polskiej Akademii Umiejętności (The Press of the Polish Academy of Arts and Sciences), Kraków, Poland, p. 782.

“The Methodological Relevance of the History of Mathematics for Mathematics Education”, in Gullaya Dhompongsa, Faqir M. Bhatti and Quentin C. Kitson (eds.) Proceedings of the International Conference on 21st Century Information Technology in Mathematics Education, Chang Mai, Thailand, 2006, pp. 267-276.

“A Cost Function approach towards Scheduling of Highly Constrained Resources", (with P. De Causmaecker and G. Vanden Berghe) Proceedings of the International Colloquium on European Cooperation in International Projects, Information Technologies and Environmental Sciences, Kötchen, 1997, pp. 90-97.

“A Conjunctive Specification Algorithm for Automated Concept Acquisition” in  R. De Caluwe (ed) Proceedings of the fifth FBVI-FAIB congress,1987, pp. 79-89.

Multiple Strategies for Knowledge Manipulation Using Meta-Level Reasoning” in: Proceedings of the 11th International Congress of Cybernetics, August 25-29th, 1986. Namur, Association internationale de cybernétique, Namur.

 “Validating Concepts from Automated Acquisition Systems”. Aravind K. Joshi (Ed.): Proceedings of the 9th International Joint Conference on Artificial Intelligence. Los Angeles, CA, August 1985. Morgan Kaufmann, 1985, pp. 613-615.

“Modelling Inference Processes that Use Multiple Object Representations”, in Callebaut e.a. (Eds). George Sarton Centennial. Communication and Cognition, Gent, 1984, pp. 69-71.


Abstracts in conference proceedings


“On the curious historical coincidence of algebra and double-entry bookkeeping” in  Foundations Of The Formal Sciences VII: Bringing together Philosophy and Sociology of Science, Brussels, October 21-24, 2008, pp 29-31.

 “The Genesis of the Algebra Textbook: From Pacioli to Euler” in Mahesh C. Joshi (ed.) Book of Abstracts. International Conference Advances in Mathematics: Historical Developments and Engineering Applications, December 19-22, 2007, G.B. Pant University, Pantnagar India, p. 1.

Incommensurability in Mathematics: Methodological Considerations for the History of Algebra”, in Volume of Abstracts. 13th International Congress of Logic, Methodology and Philosophy of Science, August 9-15, 2007 Beijing, pp. 326-7.

 “The Regula Quantitatis or the invention of the second unknown”, The 22nd International Conference on the History of Science, 24-30 July, 2005, Institute for the History of Natural Science, Chinese Academy of Science, Beijing, China, [abstract, p. 301].

“The Origin of Problems in Euler's Algebra”, Joint BeNeLuxFr Conference in Mathematics, 20-22 July, 2005, Ghent, Belgium [abstract].

“The transmission of algebra in sixteenth-century Europe”, Science in EuropeEurope in Science: 1500-2000, Maastricht University, 4-6 November, 2004 [abstract].

“Récréations mathématiques (1624), A Study on its Authorship, Sources and Influence”, History of Science Society Annual Meeting, Austin, Texas, 18-21 November, 2004 [abstract].

“How algebra spoiled renaissance recreational problems” The Origins of Algebra: From al-Khwarizmi to Descartes, an International Meeting at Universitat Pompeu Fabra, Barcelona 2003 [abstract].

“Descartes’ theory of explanation in natural philosophy” Causation and Explanation in Natural and Social Sciences 2002, Universiteit Gent [abstract].

“A Test Bench for Rostering Problems” (with P. De Causmaecker, G. Vanden Berghe and A. De Witte) Edmund K Burke and Michael W Carter (Eds) Proceedings of the 2nd International Conference on the Practice and Theory of Automated Timetabling, Toronto 1997, p 324.

“Scheduling of highly-constrained resources, extending the formulation and refining the optimization scheme” (with G. Van den Berghe, A. De Bruycker, P. De Causmaecker, A. De Witte) 14th European Conference of Operation Research, Jerusalem, 1995, 44.

“Transformations of Knowledge Representations in Scientific Discovery Processes” (with D. Vervenne and D. De Waele) Tim O’Shea (Ed) Proceedings of the 6th European Conference on Artificial Intelligence, Elsevier, Amsterdam, 1984, 458-459.


© 2008 Albrecht Heeffer