Albrecht Heeffer (2011). The Rule of Quantity by Chuquet and de la Roche and its Influence on German Cossic Algebra. Archives internationales d'histoire des sciences, pdf

^Albrecht Heeffer (2006). Van precepten tot vergelijkingen: de conceptuele ontwikkeling van de symbolische algebra in de zestiende eeuw. Ph. D. thesis, Universiteit Gent

Home * People * Albrecht HeefferAlbrecht Heeffer,a Belgian electrical engineer and philosopher with research interests in the history of algebra

^{[1]}, computational models for scientific discovery^{[2]}, recreational mathematics, and further in chess, computer chess and shogi. He holds a degree in electrical engineering and a Ph.D. in philosophy from Ghent University in 2006 on the topic of emergence of symbolic algebra during the sixteenth century^{[3]}, and is post-doctoral fellow of the Research Foundation Flanders (FWO)^{[4]}and member of the Center for Logic and Philosophy of Science^{[5]}at Ghent University. In 1984, during a three month visit of the Turing Institute in Glasgow, Albrecht Heeffer worked onautomated acquisition on concepts for the description of middlegame positions in chess^{[6]}, supported by Donald Michie, John Roycroft, and Tim Niblett^{[7]}.Albrecht Heeffer was member of the Bionic Impakt team with Hans Secelle, and provided the hardware, worked through the test sets, added the endgame databases and did some optimizations

^{[8]}, while they later joined the Ant team around Tom Vijlbrief.^{[9]}## Table of Contents

## Photos

^{[10]}, round 5, Ant - Fritz^{[11]}^{[12]}## Selected Publications

^{[13]}^{[14]}^{[15]}## 1984

1984).Automated Acquisition on Concepts for the Description of Middle-game Positions in Chess. Turing Institute, Glasgow, Scotland, TIRM-84-005## 1985 ...

1985).Validating Concepts from Automated Acquisition Systems. IJCAI 85, pdf1986).Chunking as a Method for Concept Acquisition. Proceedings of the 7th European Conference on Artificial Intelligence1986).An overview of expert systems. Proceedings of Expert Systems: Available Hard- and Software## 1995 ...

1997).A Cost Function approach towards Scheduling of Highly Constrained Resources. Proceedings of the International Colloquium on European Cooperation in International Projects, Information Technologies and Environmental Sciences## 2000 ...

2003).Kepler's near discovery of the sine law: a qualitative computational model. Computer modeling of scientific reasoning, pdf^{[16]}2004).Récréations Mathématiques (1624) A Study on its Authorship, Sources and Influence. pdf## 2005 ...

2006).The Regula Quantitatis or the invention of the second unknown. The 22nd International Conference on the History of Science2006).Van precepten tot vergelijkingen: de conceptuele ontwikkeling van de symbolische algebra in de zestiende eeuw. Ph. D. thesis, Universiteit Gent (Flemish)2007).Near-Optimal Strategies for the Game of Logik. pdf^{[17]}2007).Mathematics education through lesson study in the Asia-Pacific region. pdf2007).On the Nature and Origin of Algebraic Symbolism.pdf2007).Humanist Repudiation of Eastern Influences in Early Modern Mathematics. pdf2008).From Problem Solving to Argumentation: Pacioli’s Appropriation of Abbacus Algebra. pdf^{[18]}2008).Negative Numbers As An Epistemic Difficult Concept: Some Lessons From History. pdf2008).Text production, reproduction and appropriation within the abbaco tradition: a case study.pdf2008).Estienne de la Roche’s appropriation of Chuquet (1484). pdf^{[19]}^{[20]}2008).On the interpretation of early Italian bartering problems. pdf2008).A Conceptual Analysis of Early Arabic Algebra. pdf2009).On the curious historical coincidence of algebra and double-entry bookkeeping. To appear in: Karen François, Benedikt Löwe, Thomas Müller, and Bart van Kerkhove (eds.)Foundations of the Formal Sciences. Bringing together Philosophy and Sociology of Science, College Publications, London. pdf2009).The Abbacus Tradition: the Missing Link between Arabic and Early Symbolic Algebra?pdf2009).Algebraic partitioning problems from Luca Pacioli's Perugia manuscript (Vat. Lat. 3129). pdf## 2010 ...

2010).Regiomontanus and Chinese Mathematics. pdf^{[21]}2011).The Rule of Quantity by Chuquet and de la Roche and its Influence on German Cossic Algebra. Archives internationales d'histoire des sciences, pdf2011).Models of scientific discovery: what do they explain?. Third international conference on philosophy and cognitive science, Proceedings^{[22]}2011).From problem solving to the teaching of algebra: the genesis of the algebra textbook. 11th international IHPST and 6th Greek history, philosophy and science teaching joint conference, Proceedings2012).The genesis of the algebra textbook: from Pacioli to Euler. Almagest2012).Dutch arithmetic, samurai and warships: teaching of Western mathematics in pre-Meiji Japan. History and Pedagogy of Mathematics, Proceedings^{[23]}2012).Sangaku: the mathematics of traditional Japanese votive tablets. Mathematics Today^{[24]}2013).Why the quadratic equation has only one root (according to abbaco masters). Mathematics Today2013).Algebraic symbolism as a conceptual barrier in learning mathematics. 6th East Asia Regional Conference on Mathematics Education, Proceedings2013).Was Uncle Tom right that quadratic problems can't be solved with the rule of false position?. The Mathematical Intelligencer2014).Cardano's favorite problem: the Proportio Reflexa. The Mathematical Intelligencer^{[25]}## External Links

First Conference on Mathematical Cultures, September 10-12, 2012 at De Morgan House, London

## References

2006).Van precepten tot vergelijkingen: de conceptuele ontwikkeling van de symbolische algebra in de zestiende eeuw. Ph. D. thesis, Universiteit Gent1984).Automated Acquisition on Concepts for the Description of Middle-game Positions in Chess. Turing Institute, Glasgow, Scotland, TIRM-85-0051985).Validating Concepts from Automated Acquisition Systems. IJCAI 85, pdf, This work was carried out during a three month visit at the Turing Institute. Financial support was provided by the Belgian NFWO and the ICIWO. I would like to express my thank s to Prof. F. Vandamme of the University of Ghent, and to Prof. Donald Michie, Mr John Roycroft and Dr Tim Niblett of the Turing Institute, for their helpful suggestions## What links here?

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