# The Quantum Nature of Identity in Human Thought: Bose-Einstein Statistics for Conceptual Indistinguishability

@article{Aerts2014TheQN, title={The Quantum Nature of Identity in Human Thought: Bose-Einstein Statistics for Conceptual Indistinguishability}, author={Diederik Aerts and Sandro Sozzo and Tom{\'a}s Veloz}, journal={International Journal of Theoretical Physics}, year={2014}, volume={54}, pages={4430-4443} }

Increasing experimental evidence shows that humans combine concepts in a way that violates the rules of classical logic and probability theory. On the other hand, mathematical models inspired by the formalism of quantum theory are in accordance with data on concepts and their combinations. In this paper, we investigate a new connection between concepts and quantum entities, namely the way both behave with respect to ‘identity’ and ‘indistinguishability’. We do this by considering conceptual…

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## References

SHOWING 1-10 OF 44 REFERENCES

Concepts and Their Dynamics: A Quantum-Theoretic Modeling of Human Thought

- PhysicsTop. Cogn. Sci.
- 2013

The relevance of complex numbers, the appearance of entanglement, and the role of Fock space in explaining contextual emergence, all as unique features of the quantum modeling are explicitly revealed in this article by analyzing human concepts and their dynamics.

Quantum Particles as Conceptual Entities: A Possible Explanatory Framework for Quantum Theory

- Philosophy, Physics
- 2009

We put forward a possible new interpretation and explanatory framework for quantum theory. The basic hypothesis underlying this new framework is that quantum particles are conceptual entities. More…

Quantum Entanglement in Concept Combinations

- PhysicsArXiv
- 2013

This paper analyzes the data collected in an experiment on a specific conceptual combination, showing that Bell’s inequalities are violated in the experiment, and presents a new refined entanglement scheme to model these data within standard quantum theory rules, where ’entangled measurements and entangled evolutions’ occur, in addition to the expected ‘entangled states’.

Quantum Structure in Cognition: Why and How Concepts Are Entangled

- PhilosophyQI
- 2011

It is shown that the intrinsic and unavoidable character of entanglement can be explained in terms of the weights of the exemplars of the combined concept with respect to the weightsof the exemplar of the component concepts.

Identical Quantum Particles and Weak Discernibility

- Philosophy
- 2008

Saunders has recently claimed that “identical quantum particles” with an anti-symmetric state (fermions) are weakly discernible objects, just like irreflexively related ordinary objects in situations…

Identifying Quantum Structures in the Ellsberg Paradox

- Philosophy
- 2014

Empirical evidence has confirmed that quantum effects occur frequently also outside the microscopic domain, while quantum structures satisfactorily model various situations in several areas of…

Quantum Models of Cognition and Decision

- Philosophy
- 2012

The foundations for modelling probabilistic-dynamic systems using two aspects of quantum theory, 'contextuality' and 'quantum entanglement', are introduced, which allow cognitive phenomena to be modeled in non-reductionist ways.

A quantum theoretical explanation for probability judgment errors.

- PsychologyPsychological review
- 2011

It is concluded that quantum information-processing principles provide a viable and promising new way to understand human judgment and reasoning.