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Contextualizing Concepts
Liane Gabora and Diederik Aerts
... develop a formal description of the contextual manner in which concepts are evoked, used, and combined to generate meaning.

Conceptualizing Concepts using the Lattice Formalism
http://cogprints.org/2139/00/flairs.html

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Contextualizing Concepts

Liane Gabora and Diederik Aerts
Center Leo Apostel for Interdisciplinary Studies (CLEA)
Free University of Brussels (VUB)
Krijgskundestraat 33, Brussels
B1160, Belgium, EUROPE
lgabora@vub.ac.be , diraerts@vub.ac.be
http://www.vub.ac.be/CLEA/liane/ , http://www.vub.ac.be/CLEA/aerts/



ABSTRACT: To cope with problems arising in the description of (1) contextual interactions, and (2) the generation of new states with new properties when quantum entities become entangled, the mathematics of quantum mechanics was developed. Similar problems arise with concepts. We use a generalization of standard quantum mechanics, the mathematical lattice theoretic formalism, to develop a formal description of the contextual manner in which concepts are evoked, used, and combined to generate meaning.

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<center><p><b><font size="+2">Contextualizing Concepts</font></b> </p><p><b><font face="Times"><font size="-1">Liane Gabora and Diederik Aerts</font></font></b> <br><font face="Times"><font size="-1">Center Leo Apostel for Interdisciplinary Studies (CLEA)</font></font> <br><font face="Times"><font size="-1">Free University of Brussels (VUB)</font></font> <br><font face="Times"><font size="-1">Krijgskundestraat 33, Brussels</font></font> <br><font face="Times"><font size="-1">B1160, Belgium, EUROPE</font></font> <br><font face="Times"><font size="-1"><a href="mailto:lgabora@vub.ac.be">lgabora@vub.ac.be</a> , <a href="mailto:lgabora@vub.ac.be">diraerts@vub.ac.be</a></font></font> <br><font face="Times"><font size="-1"><a href="http://pespmc1.vub.ac.be/Gabora/">http://www.vub.ac.be/CLEA/liane/</a> , <a href="http://pespmc1.vub.ac.be/Gabora/">http://www.vub.ac.be/CLEA/aerts/</a></font></font></p></center> <p><br> <br> </p><p><font size="-1"><b>ABSTRACT</b>: To cope with problems arising in the description of (1) contextual interactions, and (2) the generation of new states with new properties when quantum entities become entangled, the mathematics of quantum mechanics was developed. Similar problems arise with concepts. We use a generalization of standard quantum mechanics, the mathematical lattice theoretic formalism, to develop a formal description of the contextual manner in which concepts are evoked, used, and combined to generate meaning.</font> </p>