Albrecht 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 on automated 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.
Albrecht Heeffer [9]

Photos

Albrecht Heeffer, Mathias Feist and Frans Morsch, ICT 2001 [10], round 5, Ant - Fritz [11]
Boris Spassky, Yoshiharu Habu, Albrecht Heeffer, Paris May 23, 2002 [12]

Selected Publications

1984

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

1985 ...

• Albrecht Heeffer (1985). Validating Concepts from Automated Acquisition Systems. IJCAI 85, pdf
• Albrecht Heeffer, Marc Leman (1986). Chunking as a Method for Concept Acquisition. Proceedings of the 7th European Conference on Artificial Intelligence
• Fernand Vandamme, Albrecht Heeffer (1986). An overview of expert systems. Proceedings of Expert Systems: Available Hard- and Software

1995 ...

• Patrick De Causmaecker, Albrecht Heeffer, Greet Vanden Berghe (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 ...

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

2005 ...

• Albrecht Heeffer (2006). The Regula Quantitatis or the invention of the second unknown. The 22nd International Conference on the History of Science
• Albrecht Heeffer (2006). Van precepten tot vergelijkingen: de conceptuele ontwikkeling van de symbolische algebra in de zestiende eeuw. Ph. D. thesis, Universiteit Gent (Flemish)
• Albrecht Heeffer, Harold Heeffer (2007). Near-Optimal Strategies for the Game of Logik. pdf ^[17]
• Albrecht Heeffer (2007). Mathematics education through lesson study in the Asia-Pacific region. pdf
• Albrecht Heeffer (2007). On the Nature and Origin of Algebraic Symbolism. pdf
• Albrecht Heeffer (2007). Humanist Repudiation of Eastern Influences in Early Modern Mathematics. pdf
• Albrecht Heeffer (2008). From Problem Solving to Argumentation: Pacioli’s Appropriation of Abbacus Algebra. pdf ^[18]
• Albrecht Heeffer (2008). Negative Numbers As An Epistemic Difficult Concept: Some Lessons From History. pdf
• Albrecht Heeffer (2008). Text production, reproduction and appropriation within the abbaco tradition: a case study. pdf
• Albrecht Heeffer (2008). Estienne de la Roche’s appropriation of Chuquet (1484). pdf ^{[19] [20]}
• Albrecht Heeffer (2008). On the interpretation of early Italian bartering problems. pdf
• Albrecht Heeffer (2008). A Conceptual Analysis of Early Arabic Algebra. pdf
• Albrecht Heeffer (2009). 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. pdf
• Albrecht Heeffer (2009). The Abbacus Tradition: the Missing Link between Arabic and Early Symbolic Algebra? pdf
• Albrecht Heeffer (2009). Algebraic partitioning problems from Luca Pacioli's Perugia manuscript (Vat. Lat. 3129). pdf

2010 ...

• Albrecht Heeffer (2010). Regiomontanus and Chinese Mathematics. pdf ^[21]
• 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 (2011). Models of scientific discovery: what do they explain?. Third international conference on philosophy and cognitive science, Proceedings ^[22]
• Albrecht Heeffer (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, Proceedings
• Albrecht Heeffer (2012). The genesis of the algebra textbook: from Pacioli to Euler. Almagest
• Albrecht Heeffer (2012). Dutch arithmetic, samurai and warships: teaching of Western mathematics in pre-Meiji Japan. History and Pedagogy of Mathematics, Proceedings ^[23]
• Albrecht Heeffer (2012). Sangaku: the mathematics of traditional Japanese votive tablets. Mathematics Today ^[24]
• Albrecht Heeffer (2013). Why the quadratic equation has only one root (according to abbaco masters). Mathematics Today
• Albrecht Heeffer (2013). Algebraic symbolism as a conceptual barrier in learning mathematics. 6th East Asia Regional Conference on Mathematics Education, Proceedings
• Albrecht Heeffer (2013). Was Uncle Tom right that quadratic problems can't be solved with the rule of false position?. The Mathematical Intelligencer
• Albrecht Heeffer (2014). Cardano's favorite problem: the Proportio Reflexa. The Mathematical Intelligencer ^[25]

External Links

• Albrecht Heeffer | Sarton Centre for History of Science
• Albrecht Heeffer | Max Planck Institute for the History of Science
• Albrecht Heeffer's homepage
• Members - Albrecht Heeffer from Centre for Logic and Philosophy of Science
• Albrecht Heeffer - Google Scholar Citations
• Albrecht Heeffer - ResearchGate
• Albrecht Heeffer - Microsoft Academic Search
• European/Worldwide Open Shogi Championship 2002 - Participants
• Albrecht Heeffer - The Abbaco mathematical culture (1300 - 1500) , YouTube Video
  First Conference on Mathematical Cultures, September 10-12, 2012 at De Morgan House, London
  

References

1. ^ Sources in the history of algebra by Albrecht Heeffer
2. ^ Centre for History of Science - dr. Albrecht Heeffer
3. ^ Albrecht Heeffer (2006). Van precepten tot vergelijkingen: de conceptuele ontwikkeling van de symbolische algebra in de zestiende eeuw. Ph. D. thesis, Universiteit Gent
4. ^ Research Foundation Flanders
5. ^ Center for Logic and Philosophy of Science
6. ^ Albrecht Heeffer (1984). Automated Acquisition on Concepts for the Description of Middle-game Positions in Chess. Turing Institute, Glasgow, Scotland, TIRM-85-005
7. ^ Albrecht Heeffer (1985). 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
8. ^ Re: Bionic Vs Crafty Debate: some data required by Albrecht Heeffer, CCC, January 25, 1999 » Crafty
9. ^ Albrecht Heeffer | Sarton Centre for History of Science
10. ^ Leiden 2001 by László Szalai
11. ^ ICT Leiden 2001 - download
12. ^ Albrecht Heeffer - My game against Habu
13. ^ Preprints from 1995 on
14. ^ Albrecht Heeffer - Publications
15. ^ dblp: Albrecht Heeffer
16. ^ Johannes Kepler from Wikipedia
17. ^ Mastermind (board game) from Wikipedia
18. ^ Luca Pacioli from Wikipedia
19. ^ Estienne de la Roche from Wikipedia
20. ^ Nicolas Chuquet from Wikipedia
21. ^ Regiomontanus from Wikipedia
22. ^ Knowledge extraction from Wikipedia
23. ^ Emperor Meiji from Wikipedia
24. ^ Sangaku from Wikipedia
25. ^ Gerolamo Cardano from Wikipedia

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