David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
We propose a theory for modeling concepts that uses the state-context-property theory (SCOP), a generalization of the quantum formalism, whose basic notions are states, contexts and properties. This theory enables us to incorporate context into the mathematical structure used to describe a concept, and thereby model how context influences the typicality of a single exemplar and the applicability of a single property of a concept. We introduce the notion `state of a concept' to account for this contextual influence, and show that the structure of the set of contexts and of the set of properties of a concept is a complete orthocomplemented lattice. The structural study in this article is a preparation for a numerical mathematical theory of concepts in the Hilbert space of quantum mechanics that allows the description of the combination of concepts.
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Diederik Aerts (2009). Quantum Particles as Conceptual Entities: A Possible Explanatory Framework for Quantum Theory. [REVIEW] Foundations of Science 14 (4):361-411.
Diederik Aerts, Liane Gabora & Sandro Sozzo (2013). Concepts and Their Dynamics: A Quantum‐Theoretic Modeling of Human Thought. Topics in Cognitive Science 5 (4):737-772.
Similar books and articles
Elaine Landry (1999). Category Theory: The Language of Mathematics. Philosophy of Science 66 (3):27.
Daniel A. Weiskopf (2009). The Plurality of Concepts. Synthese 169 (1):145 - 173.
Theodore Sider (2011). Writing the Book of the World. Oxford University Press.
Ruth G. Millikan (1997). A Common Structure for Concepts of Individuals, Stuffs, and Kinds: More Mama, More Milk, and More Mouse. Behavioral and Brain Sciences 21 (1):55-65.
Elaine Landry (2007). Shared Structure Need Not Be Shared Set-Structure. Synthese 158 (1):1 - 17.
Dr Liane M. Gabora, Dr Eleanor Rosch & Dr Diederik Aerts (forthcoming). Toward an Ecological Theory of Concepts. Philosophical Explorations.
Liane Gabora & Diederik Aerts (2002). Contextualizing Concepts Using a Mathematical Generalization of the Quantum Formalism. Philosophical Explorations.
Added to index2009-01-28
Total downloads29 ( #64,402 of 1,102,037 )
Recent downloads (6 months)2 ( #192,049 of 1,102,037 )
How can I increase my downloads?