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We present a computational model of mathematical reasoning according to which mathematics is a fundamentally stochastic process. That is, on our model, whether or not a given formula is deemed a theorem in some axiomatic system is not a…

Logic · Mathematics 2020-12-16 David H. Wolpert , David Kinney

In 1929 Szilard pointed out that the physics of the observer may play a role in the analysis of experiments. The same year, Bohr pointed out that complementarity appears to arise naturally in psychology where both the objects of perception…

Quantum Physics · Physics 2019-06-13 John Realpe-Gómez

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 concretely, we propose that quantum…

Quantum Physics · Physics 2011-11-10 Diederik Aerts

Recent studies claim that human behavior in a two-armed Bernoulli bandit (TABB) task is described by positivity and confirmation biases, implying that humans do not integrate new information objectively. However, we find that even if the…

Artificial Intelligence · Computer Science 2025-05-14 Prakhar Godara

This paper presents a novel explanation of the cause of quantum probabilities and the Born rule based on the intuitionistic interpretation of quantum mechanics where propositions obey constructive (intuitionistic) logic. The use of…

Quantum Physics · Physics 2017-02-14 Arkady Bolotin

There is a widespread view that the human brain is so complex that it cannot be efficiently simulated by universal Turing machines. During the last decades the question has therefore been raised whether we need to consider quantum effects…

Neurons and Cognition · Quantitative Biology 2019-05-29 Göran Wendin

The scientific community is becoming more and more interested in the research that applies the mathematical formalism of quantum theory to model human decision-making. In this paper, we provide the theoretical foundations of the quantum…

Artificial Intelligence · Computer Science 2016-09-09 Diederik Aerts , Massimiliano Sassoli de Bianchi , Sandro Sozzo

Quantum theory describes our universe incredibly successfully. To our classically-inclined brains, however, it is a bizarre description that requires a re-imagining of what fundamental reality, or "ontology", could look like. This thesis…

Quantum Physics · Physics 2019-01-08 John-Mark A. Allen

We envision a machine capable of solving mathematical problems. Dividing the quantitative reasoning system into two parts: thought processes and cognitive processes, we provide probabilistic descriptions of the architecture.

Artificial Intelligence · Computer Science 2023-08-21 Minzheng Li , Xiangzhong Fang , Haixin Yang

Quantum information and computation may serve as a source of useful axioms and ideas for the quantum logic/quantum structures project of characterizing and classifying types of physical theories, including quantum mechanics and classical…

Quantum Physics · Physics 2007-05-23 Howard Barnum

Motivated reasoning - the idea that individuals processing information may be motivated to either arrive at accurate beliefs or arrive at desired conclusions - has been well-explored as a human phenomenon. However, it remains unclear…

Human-Computer Interaction · Computer Science 2026-05-11 Neeley Pate , Adiba Mahbub Proma , Hangfeng He , James N. Druckman , Daniel C. Molden , Gourab Ghoshal , Ehsan Hoque

With the rise of machines to human-level performance in complex recognition tasks, a growing amount of work is directed towards comparing information processing in humans and machines. These studies are an exciting chance to learn about one…

Computer Vision and Pattern Recognition · Computer Science 2021-04-14 Christina M. Funke , Judy Borowski , Karolina Stosio , Wieland Brendel , Thomas S. A. Wallis , Matthias Bethge

We use notions and techniques of Quantum Field Theory to formulate and investigate basic concepts and mechanisms of human communication. We start with attitudes which correspond to photons frequencies, then we introduce states-of-mind which…

General Physics · Physics 2007-05-23 Wojtek Slowikowski , Erik B. Nielsen

Conversational AI is rapidly becoming a primary interface for information seeking and decision making, yet most systems still assume idealized users. In practice, human reasoning is bounded by limited attention, uneven knowledge, and…

Emerging Technologies · Computer Science 2026-01-21 Jiqun Liu

Over the last years, in a series papers by Arrechi and others, a model for the cognitive processes involved in decision making has been proposed and investigated. The key element of this model is the expression of apprehension and…

Neurons and Cognition · Quantitative Biology 2015-11-20 Yukio-Pegio Gunji , Kohei Sonoda , Vasileios Basios

The machinery of the human brain -- analog, probabilistic, embodied -- can be characterized computationally, but what machinery confers what computational powers? Any such system can be abstractly cast in terms of two computational…

Neurons and Cognition · Quantitative Biology 2020-08-14 Richard Granger

This paper presents a framework for Quantum causal modeling based on the interpretation of causality as a relation between an observer's probability assignments to hypothetical or counterfactual experiments. The framework is based on the…

Quantum Physics · Physics 2020-01-15 Jacques Pienaar

Based on ideas of quantum theory of open systems we propose the consistent approach to the formulation of logic of plausible propositions. To this end we associate with every plausible proposition diagonal matrix of its likelihood and…

Quantum Physics · Physics 2015-06-05 E. D. Vol

Qualitative and quantitative approaches to reasoning about uncertainty can lead to different logical systems for formalizing such reasoning, even when the language for expressing uncertainty is the same. In the case of reasoning about…

Artificial Intelligence · Computer Science 2021-04-07 Matthew Harrison-Trainor , Wesley H. Holliday , Thomas F. Icard

The 'conjunction fallacy' has been extensively debated by scholars in cognitive science and, in recent times, the discussion has been enriched by the proposal of modeling the fallacy using the quantum formalism. Two major quantum approaches…