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The Liar-paradox in a Quantum Mechanical Perspective

Summary: The Liar-paradox in a Quantum Mechanical
Diederik Aerts, Jan Broekaert, Sonja Smets
CLEA, Free University of Brussels, Pleinlaan 2, B-1050 Brussels
We propose a method to model the truth behaviour of cognitive entities
taking into account the possible influence of the cognitive person on the
truth behaviour of the entity. Hereby we specifically apply the mathe-
matical formalism of quantum mechanics because of the fact that this
formalism allows the description of real contextual influences, i.e. the
influence of the measuring apparatus on the physical entity. We con-
centrated on the typical situation of the liar paradox and have shown
that (1) the truth-false state of this liar paradox can be represented
by a quantum vector in a finite dimensional complex Hilbert space
and the different interpretative interactions by the actions of the cor-
responding quantum projections, (2) the typical oscillations between
false and truth - the paradox - is now quantum dynamically described
by a Schršodinger equation. We analyse possible philosophical implica-
tions of this result.
1 Introduction.


Source: Aerts, Diederik - Leo Apostel Centre, Vrije Universiteit Brussel


Collections: Multidisciplinary Databases and Resources; Physics