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Language models (LMs) are said to be exhibiting reasoning, but what does this entail? We assess definitions of reasoning and how key papers in the field of natural language processing (NLP) use the notion and argue that the definitions…

Computation and Language · Computer Science 2025-11-18 Bertram Højer

Humans can effortlessly describe what they see, yet establishing a shared representational format between vision and language remains a significant challenge. Emerging evidence suggests that human brain representations in both vision and…

Neurons and Cognition · Quantitative Biology 2025-07-30 Katerina Marie Simkova , Adrien Doerig , Clayton Hickey , Ian Charest

A plausible definition of "reasoning" could be "algebraically manipulating previously acquired knowledge in order to answer a new question". This definition covers first-order logical inference or probabilistic inference. It also includes…

Artificial Intelligence · Computer Science 2011-02-14 Leon Bottou

The concept of intelligent software is flawed. The behaviour of software is determined by the hardware that "interprets" it. This undermines claims regarding the behaviour of theorised, software superintelligence. Here we characterise this…

Artificial Intelligence · Computer Science 2024-11-04 Michael Timothy Bennett

Declarative modeling uses symbolic expressions to represent models. With such expressions one can formalize high-level mathematical computations on models that would be difficult or impossible to perform directly on a lower-level simulation…

Quantitative Methods · Quantitative Biology 2019-07-02 Eric Mjolsness

This paper argues that self-awareness is a learned behavior that emerges in organisms whose brains have a sufficiently integrated, complex ability for associative learning and memory. Continual sensory input of information related to the…

Neurons and Cognition · Quantitative Biology 2007-06-13 Emmanuel Tannenbaum

Abstraction logic is a new logic, serving as a foundation of mathematics. It combines features of both predicate logic and higher-order logic: abstraction logic can be viewed both as higher-order logic minus static types as well as…

Logic in Computer Science · Computer Science 2022-07-13 Steven Obua

This overview of integrated information theory (IIT) emphasizes IIT's "consciousness-first" approach to what exists. Consciousness demonstrates to each of us that something exists--experience--and reveals its essential properties--the…

Neurons and Cognition · Quantitative Biology 2025-12-23 Giulio Tononi , Melanie Boly

Modeling subrational agents, such as humans or economic households, is inherently challenging due to the difficulty in calibrating reinforcement learning models or collecting data that involves human subjects. Existing work highlights the…

Artificial Intelligence · Computer Science 2024-02-15 Andrea Coletta , Kshama Dwarakanath , Penghang Liu , Svitlana Vyetrenko , Tucker Balch

Are minds subject to laws of physics? Are the laws of physics computable? Are conscious thought processes computable? Currently there is little agreement as to what are the right answers to these questions. Penrose goes one step further and…

Quantum Physics · Physics 2010-03-17 C. Calude , D. I. Campbell , K. Svozil , D. Ştefănecu

Mathematics can serve many functions in physics. It can provide a computational system, reflect a physical idea, conveniently encode a rule, and so forth. A physics student thus has many different options for using mathematics in his…

Physics Education · Physics 2009-11-13 Thomas J. Bing , Edward F. Redish

The association between language and (non-linguistic) thinking ability in humans has long been debated, and recently, neuroscientific evidence of brain activity patterns has been considered. Such a scientific context naturally raises an…

Computation and Language · Computer Science 2025-02-18 Riku Kisako , Tatsuki Kuribayashi , Ryohei Sasano

Various 'optimistic' attempts have been made to reasonably explain the undeniable effectiveness of mathematics in its application to physics. They range over retrospective, historical accounts of mathematical applicability based on…

History and Philosophy of Physics · Physics 2024-08-07 Jorge Manero

The aim of this of this paper is to study infinite games and to prove formally some properties in this framework. As a consequence we show that the behavior (the madness) of people which leads to speculative crashes or escalation can be…

Computer Science and Game Theory · Computer Science 2012-02-10 Pierre Lescanne

Algorithms of inference in a computer system oriented to input and semantic processing of text information are presented. Such inference is necessary for logical questions when the direct comparison of objects from a question and database…

Computation and Language · Computer Science 2012-02-02 Yuriy Ostapov

The ability to derive underlying principles from a handful of observations and then generalize to novel situations -- known as inductive reasoning -- is central to human intelligence. Prior work suggests that language models (LMs) often…

Computation and Language · Computer Science 2024-05-24 Linlu Qiu , Liwei Jiang , Ximing Lu , Melanie Sclar , Valentina Pyatkin , Chandra Bhagavatula , Bailin Wang , Yoon Kim , Yejin Choi , Nouha Dziri , Xiang Ren

This article presents a heuristic view that shows that the inner states of consciousness experienced by every human being have a physical but imaginary hypercomplex basis. The hypercomplex description is necessary because certain processes…

Artificial Intelligence · Computer Science 2024-09-04 Ralf Otte

A central concept within informatics is in modelling such systems for the purpose of reasoning (perhaps automated) about their behaviour and properties. To this end, one requires an interpretation of logical formulae in terms of the…

Logic in Computer Science · Computer Science 2024-05-13 Alexander V. Gheorghiu , Tao Gu , David J. Pym

Explanation methods aim to make neural networks more trustworthy and interpretable. In this paper, we demonstrate a property of explanation methods which is disconcerting for both of these purposes. Namely, we show that explanations can be…

In living systems, we often see the emergence of the ingredients necessary for computation -- the capacity for information transmission, storage, and modification -- begging the question of how we may exploit or imitate such biological…

Neurons and Cognition · Quantitative Biology 2020-09-11 Kristine Heiney , Gunnar Tufte , Stefano Nichele