David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Logic, Language and Information 21 (3):237-277 (2012)
Taking the lead from orthodox quantum theory, I will introduce a handy generalization of the Boolean approach to propositions and questions: the orthoalgebraic framework. I will demonstrate that this formalism relates to a formal theory of questions (or ‘observables’ in the physicist’s jargon). This theory allows formulating attitude questions, which normally are non-commuting, i.e., the ordering of the questions affects the answer behavior of attitude questions. Further, it allows the expression of conditional questions such as “If Mary reads the book, will she recommend it to Peter?”, and thus gives the framework the semantic power of raising issues and being informative at the same time. In the case of commuting observables, there are close similarities between the orthoalgebraic approach to questions and the Jäger/Hulstijn approach to question semantics. However, there are also differences between the two approaches even in case of commuting observables. The main difference is that the Jäger/Hulstijn approach relates to a partition theory of questions whereas the orthoalgebraic approach relates to a ‘decorated’ partition theory (i.e. the elements of the partition are decorated by certain semantic values). Surprisingly, the orthoalgebraic approach is able to overcome most of the difficulties of the Jäger/Hulstijn approach. Furthermore, the general approach is suitable to describe the different types of (non-commutative) attitude questions as investigated in modern survey research. Concluding, I will suggest that an active dialogue between the traditional model-theoretic approaches to semantics and the orthoalgebraic paradigm is mandatory.
|Keywords||Attitude questions Commutativity Conditional questions Decorated partitions Orthoalgebra Orthodox quantum theory Qubit Question semantics Structured propositions Survey research|
|Categories||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
J. Michael Dunn (2001). Algebraic Methods in Philosophical Logic. Oxford University Press.
Albert Einstein, Boris Podolsky & Nathan Rosen (1935). Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? Physical Review (47):777-780.
Charles L. Hamblin (1973). Questions in Montague English. Foundations of Language 10 (1):41-53.
J. Isaacs & K. Rawlins (2008). Conditional Questions. Journal of Semantics 25 (3):269-319.
Lauri Karttunen (1977). Syntax and Semantics of Questions. Linguistics and Philosophy 1 (1):3--44.
Citations of this work BETA
Reinhard Blutner, Emmanuel M. Pothos & Peter Bruza (2013). A Quantum Probability Perspective on Borderline Vagueness. Topics in Cognitive Science 5 (4):711-736.
Reinhard Blutner & Peter Beim Graben (2013). The (Virtual) Conceptual Necessity of Quantum Probabilities in Cognitive Psychology. Behavioral and Brain Sciences 36 (3):280-281.
Similar books and articles
Antti Koura (1988). An Approach to Why-Questions. Synthese 74 (2):191 - 206.
Charles B. Cross (1991). Explanation and the Theory of Questions. Erkenntnis 34 (2):237 - 260.
R. Nelken & N. Francez (2002). Bilattices and the Semantics of Natural Language Questions. Linguistics and Philosophy 25 (1):37-64.
Laura Ruetsche (2002). Interpreting Quantum Field Theory. Philosophy of Science 69 (2):348-378.
Rani Nelken & Chung-Chieh Shan (2006). A Modal Interpretation of the Logic of Interrogation. Journal of Logic, Language and Information 15 (3):251-271.
Jonathan Ginzburg (1995). Resolving Questions, I. Linguistics and Philosophy 18 (5):459 - 527.
Maria Bittner (1998). Cross-Linguistic Semantics for Questions. Linguistics and Philosophy 21 (1):1-82.
María Biezma & Kyle Rawlins (2012). Responding to Alternative and Polar Questions. Linguistics and Philosophy 35 (5):361-406.
Dennis Temple (1988). The Contrast Theory of Why-Questions. Philosophy of Science 55 (1):141-151.
David Braun (2011). Implicating Questions. Mind and Language 26 (5):574-595.
Robert Stalnaker (1998). Los Nombres y la Referencia: Semantica y Metasemantica. Teorema 17 (1):7-19.
Added to index2012-01-31
Total downloads14 ( #110,445 of 1,096,862 )
Recent downloads (6 months)3 ( #106,891 of 1,096,862 )
How can I increase my downloads?