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Some criticisms that have been raised against the Cox approach to probability theory are addressed. Should we use a single real number to measure a degree of rational belief? Can beliefs be compared? Are the Cox axioms obvious? Are there…

Data Analysis, Statistics and Probability · Physics 2015-05-14 Ariel Caticha

We claim that human mathematics is only a limited part of the consequences of the chosen basic axioms. Properly human mathematics varies with time but appears to have universal features which we try to analyze. In particular the functioning…

History and Overview · Mathematics 2023-02-21 David Ruelle

This article is an exploratory account of the the non-monotonic behaviour of conceptual associations in the light of context. Computational approximations of conceptual space are furnished by semantic space models which are emerging from…

Quantum Physics · Physics 2007-05-23 P. D. Bruza , R. J. Cole

Undoing computations of a concurrent system is beneficial in many situations, e.g., in reversible debugging of multi-threaded programs and in recovery from errors due to optimistic execution in parallel discrete event simulation. A number…

Logic in Computer Science · Computer Science 2024-02-13 Ivan Lanese , Iain Phillips , Irek Ulidowski

A general approach describing quantum decision procedures is developed. The approach can be applied to quantum information processing, quantum computing, creation of artificial quantum intelligence, as well as to analyzing decision…

Quantum Physics · Physics 2015-05-14 V. I. Yukalov , D. Sornette

Lexical semantics theories differ in advocating that the meaning of words is represented as an inference graph, a feature mapping or a vector space, thus raising the question: is it the case that one of these approaches is superior to the…

Computation and Language · Computer Science 2020-11-17 António Branco , João Rodrigues , Małgorzata Salawa , Ruben Branco , Chakaveh Saedi

People regularly make inferences about objects in the world that they cannot see by flexibly integrating information from multiple sources: auditory and visual cues, language, and our prior beliefs and knowledge about the scene. How are we…

Artificial Intelligence · Computer Science 2025-06-18 Lance Ying , Daniel Xu , Alicia Zhang , Katherine M. Collins , Max H. Siegel , Joshua B. Tenenbaum

We present an axiomatic framework for thermodynamics that incorporates information as a fundamental concept. The axioms describe both ordinary thermodynamic processes and those in which information is acquired, used and erased, as in the…

Quantum Physics · Physics 2018-05-09 Austin Hulse , Benjamin Schumacher , Michael D. Westmoreland

How is language related to consciousness? Language functions to categorise perceptual experiences (e.g., labelling interoceptive states as 'happy') and higher-level constructs (e.g., using 'I' to represent the narrative self). Psychedelic…

Neurons and Cognition · Quantitative Biology 2024-10-02 Jeremy I Skipper , Joanna Kuc , Greg Cooper , Christopher Timmermann

This paper shows how we can combine logical representations of actions and decision theory in such a manner that seems natural for both. In particular we assume an axiomatization of the domain in terms of situation calculus, using what is…

Artificial Intelligence · Computer Science 2013-02-18 David L. Poole

Affective computing plays a key role in human-computer interactions, entertainment, teaching, safe driving, and multimedia integration. Major breakthroughs have been made recently in the areas of affective computing (i.e., emotion…

Multimedia · Computer Science 2022-03-22 Yan Wang , Wei Song , Wei Tao , Antonio Liotta , Dawei Yang , Xinlei Li , Shuyong Gao , Yixuan Sun , Weifeng Ge , Wei Zhang , Wenqiang Zhang

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

We develop a (co)algebraic framework to study a family of process calculi with monadic branching structures and recursion operators. Our framework features a uniform semantics of process terms and a complete axiomatisation of semantic…

Logic in Computer Science · Computer Science 2022-07-26 Todd Schmid , Wojciech Rozowski , Alexandra Silva , Jurriaan Rot

We propose a computer-algebraic, order-theoretic framework based on intuitionistic logic for the computer-aided discovery of personality axioms from personality-test data and their mathematical categorisation into formal personality…

Computational Engineering, Finance, and Science · Computer Science 2014-12-16 Simon Kramer

In this article we review Tononi's (2008) theory of consciousness as integrated information. We argue that previous formalizations of integrated information (e.g. Griffith, 2014) depend on information loss. Since lossy integration would…

Information Theory · Computer Science 2014-05-02 Phil Maguire , Philippe Moser , Rebecca Maguire , Virgil Griffith

We seek general principles of the structure of the cellular collective activity associated with conscious awareness. Can we obtain evidence for features of the optimal brain organization that allows for adequate processing of stimuli and…

Neurons and Cognition · Quantitative Biology 2017-12-27 D. M. Mateos , R. Wennberg , R. Guevara , J. L. Perez Velazquez

We present new results on finite satisfiability of logics with counting and arithmetic. One result is a tight bound on the complexity of satisfiability of logics with so-called local Presburger quantifiers, which sum over neighbors of a…

Logic in Computer Science · Computer Science 2025-10-31 Michael Benedikt , Chia-Hsuan Lu , Tony Tan

We define a fragment of monadic infinitary second-order logic corresponding to an abstract separation property. We use this to define the concept of a separation subclass. We use model theoretic techniques and games to show that separation…

Logic · Mathematics 2021-12-09 Rob Egrot

Tractatus de Conscientia is a tractatus-style sketch toward a modern, physically operational account of consciousness. It is also a tractatus-style attempt to talk about consciousness in a way that stays close to what we can actually test…

History and Philosophy of Physics · Physics 2026-01-06 Mikołaj Sienicki , Krzysztof Sienicki

Scientific studies of consciousness rely on objects whose existence is assumed to be independent of any consciousness. On the contrary, we assume consciousness to be fundamental, and that one of the main features of consciousness is…

Neurons and Cognition · Quantitative Biology 2021-02-26 Camilo Miguel Signorelli , Quanlong Wang , Ilyas Khan