Gleason's theorem and Cauchy's functional equation

1996 ◽  
Vol 35 (12) ◽  
pp. 2687-2695 ◽  
Author(s):  
Anatolij Dvurečenskij
Keyword(s):  
Functional Equation ◽  
Cauchy’S Functional Equation ◽  
Gleason's Theorem ◽  
Gleason’S Theorem

The (virtual) conceptual necessity of quantum probabilities in cognitive psychology

2013 ◽  
Vol 36 (3) ◽  
pp. 280-281
Author(s):  
Reinhard Blutner ◽  
Peter beim Graben
Keyword(s):  
Cognitive Psychology ◽  
Orthomodular Lattice ◽  
The State ◽  
Input State ◽  
Cognitive Tests ◽  
Quantum Probabilities ◽  
Conceptual Necessity ◽  
Gleason's Theorem ◽  
Gleason’S Theorem ◽  
General Conditions

AbstractWe propose a way in which Pothos & Busemeyer (P&B) could strengthen their position. Taking a dynamic stance, we consider cognitive tests as functions that transfer a given input state into the state after testing. Under very general conditions, it can be shown that testable properties in cognition form an orthomodular lattice. Gleason's theorem then yields the conceptual necessity of quantum probabilities (QP).

Gleason's theorem on self-dual codes

1972 ◽  
Vol 18 (3) ◽  
pp. 409-414 ◽  
Author(s):  
E. Berlekamp ◽  
F. MacWilliams ◽  
N. Sloane
Keyword(s):  
Dual Codes ◽  
Gleason's Theorem ◽  
Gleason’S Theorem
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