# Albrecht Heeffer

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**Albrecht Heeffer**,

a Belgian electrical engineer, philosopher and researcher with interests in the history of algebra ^{[2]}, computational models for scientific discovery, 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) and member of the Center for Logic and Philosophy of Science ^{[4]} 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* ^{[5]}, supported by Donald Michie, John Roycroft, and Tim Niblett ^{[6]}.

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 ^{[7]}, while they later joined the Ant team around Tom Vijlbrief.

## Contents

# Photos

Albrecht Heeffer, Mathias Feist and Frans Morsch, ICT 2001 ^{[8]}, round 5, Ant - Fritz ^{[9]}

Boris Spassky, Yoshiharu Habu, Albrecht Heeffer, Paris May 23, 2002 ^{[10]}

# Selected Publications

^{[11]} ^{[12]} ^{[13]}

## 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^{[14]} - 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^{[15]} - 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^{[16]} - 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^{[17]}^{[18]} - 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, 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^{[19]} - 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^{[20]} - 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^{[21]} - Albrecht Heeffer (
**2012**).*Sangaku: the mathematics of traditional Japanese votive tablets*. Mathematics Today^{[22]} - 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^{[23]} - Albrecht Heeffer (
**2014**).*Data-driven induction in scientific discovery: a critical assessment based on Kepler's discoveries*. Logic, Reasoning, and Rationality], in Logic, Argumentation & Reasoning, Vol. 5, Springer

## 2015 ....

- Sister Mary Leontius Schulte, Albrecht Heeffer (
**2015**).*Writing the history of mathematical notation: 1483 - 1700*. Docent Press, amazon - Albrecht Heeffer (
**2016**).*The Emperor’s New Mathematics: Western Learning and Imperial Authority During the Kangxi Reign (1662–1722) by Catherine Jami*.The Mathematical Intelligencer, Vol. 38, No. 2 - Matthijs Hendricus Sitters, Albrecht Heeffer (
**2016**).*The Hundred Geometrical Questions of Sybrandt Hansz Cardinael: Early-modern Dutch Geometry from the Surveyor's Tradition*. Docent Press, amazon^{[24]} - Albrecht Heeffer (
**2017**).*Arithmetic in the Renaissance.*Encyclopedia of Renaissance Philosophy, Ed. Marco Sgarbi, Springer - Albrecht Heeffer (
**2017**).*Using Invariances in Geometrical Diagrams: Della Porta, Kepler and Descartes on Refraction*. The Optics of Giambattista Della Porta (ca. 1535–1615): a Reassessment, Springer

# External Links

- Albrecht Heeffer | Faculty of Arts and Philosophy - Research Portal
- Albrecht Heeffer | Sarton Centre for History of Science
- Albrecht Heeffer's homepage
- Albrecht Heeffer - Google Scholar Citations
- Albrecht Heeffer - ResearchGate
- 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

- ↑ Albrecht Heeffer | Sarton Centre for History of Science
- ↑ Sources in the history of algebra by Albrecht Heeffer
- ↑ Albrecht Heeffer (
**2006**).*Van precepten tot vergelijkingen: de conceptuele ontwikkeling van de symbolische algebra in de zestiende eeuw*. Ph. D. thesis, Universiteit Gent - ↑ Members | Centre for Logic and Philosophy of Science
- ↑ Albrecht Heeffer (
**1984**).*Automated Acquisition on Concepts for the Description of Middle-game Positions in Chess*. Turing Institute, Glasgow, Scotland, TIRM-85-005 - ↑ 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 - ↑ Re: Bionic Vs Crafty Debate: some data required by Albrecht Heeffer, CCC, January 25, 1999 » Crafty
- ↑ Leiden 2001 by László Szalai
- ↑ ICT Leiden 2001 - download
- ↑ Albrecht Heeffer - My game against Habu
- ↑ Preprints from 1995 on
- ↑ Albrecht Heeffer - Publications
- ↑ dblp: Albrecht Heeffer
- ↑ Johannes Kepler from Wikipedia
- ↑ Mastermind (board game) from Wikipedia
- ↑ Luca Pacioli from Wikipedia
- ↑ Estienne de la Roche from Wikipedia
- ↑ Nicolas Chuquet from Wikipedia
- ↑ Regiomontanus from Wikipedia
- ↑ Knowledge extraction from Wikipedia
- ↑ Emperor Meiji from Wikipedia
- ↑ Sangaku from Wikipedia
- ↑ Gerolamo Cardano from Wikipedia
- ↑ Sybrandt Hansz. Cardinael - Wikipedia.nl (Dutch)