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Related papers: The non-algorithmic side of the mind

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Human social interactions depend on the ability to infer others' unspoken intentions, emotions, and beliefs-a cognitive skill grounded in the psychological concept of Theory of Mind (ToM). While large language models (LLMs) excel in…

Computation and Language · Computer Science 2025-10-15 Xuanming Zhang , Yuxuan Chen , Samuel Yeh , Sharon Li

Working with stories and working with computations require very different modes of thought. We call the first mode "story-thinking" and the second "computational-thinking". The aim of this curiosity-driven paper is to explore the nature of…

Computation and Language · Computer Science 2022-07-01 Austen Rainer , Catherine Menon

Formal languages are essential for computer programming and are constructed to be easily processed by computers. In contrast, natural languages are much more challenging and instigated the field of Natural Language Processing (NLP). One…

Computation and Language · Computer Science 2024-08-15 Daphne Wang

The Language of Thought Hypothesis suggests that human cognition operates on a structured, language-like system of mental representations. While neural language models can naturally benefit from the compositional structure inherently and…

Machine Learning · Computer Science 2024-04-18 Yi-Fu Wu , Minseung Lee , Sungjin Ahn

We use language to communicate our thoughts. But is language merely the expression of thoughts, which are themselves produced by other, nonlinguistic parts of our minds? Or does language play a more transformative role in human cognition,…

Computation and Language · Computer Science 2025-09-22 Gary Lupyan , Hunter Gentry , Martin Zettersten

Humans naturally interpret numbers non-literally, effortlessly combining context, world knowledge, and speaker intent. We investigate whether large language models (LLMs) interpret numbers similarly, focusing on hyperbole and pragmatic halo…

Computation and Language · Computer Science 2025-06-03 Polina Tsvilodub , Kanishk Gandhi , Haoran Zhao , Jan-Philipp Fränken , Michael Franke , Noah D. Goodman

Logicians study and apply a multiplicity of various logical systems. Consequently, there is necessity to build foundations and common grounds for all these systems. This is done in metalogic. Like metamathematics studies formalized…

Logic · Mathematics 2007-05-23 Mark Burgin

Chain of thought (CoT) elicits reasoning in large language models by explicitly generating intermediate tokens. In contrast, latent thought reasoning operates directly in the continuous latent space, enabling computation beyond discrete…

Artificial Intelligence · Computer Science 2026-05-13 Kevin Xu , Issei Sato

Theory of Mind (ToM) refers to an agent's ability to model the internal states of others. Contributing to the debate whether large language models (LLMs) exhibit genuine ToM capabilities, our study investigates their ToM robustness using…

Computation and Language · Computer Science 2026-02-26 Christian Nickel , Laura Schrewe , Florian Mai , Lucie Flek

We consider the termination/non-termination property of a class of loops. Such loops are commonly used abstractions of real program pieces. Second-order logic is a convenient language to express non-termination. Of course, such property is…

Logic in Computer Science · Computer Science 2014-12-11 Fred Mesnard , Etienne Payet

In the present work we will present and analyze some basic processes at the local and global level in linguistic derivations that seem to go beyond the limits of Markovian or Turing-like computation, and require, in our opinion, a quantum…

Chaotic Dynamics · Physics 2016-09-13 Diego Gabriel Krivochen

This paper aims at demonstrating how a first-order logic reasoning system in combination with a large knowledge base can be understood as an artificial consciousness system. For this we review some aspects from the area of philosophy of…

Artificial Intelligence · Computer Science 2020-07-23 Ulrike Barthelmeß , Ulrich Furbach , Claudia Schon

Logical reasoning is central to human cognition and intelligence. It includes deductive, inductive, and abductive reasoning. Past research of logical reasoning within AI uses formal language as knowledge representation and symbolic…

Computation and Language · Computer Science 2024-02-19 Zonglin Yang , Xinya Du , Rui Mao , Jinjie Ni , Erik Cambria

Classical interpretations of Goedel's formal reasoning imply that the truth of some arithmetical propositions of any formal mathematical language, under any interpretation, is essentially unverifiable. However, a language of general,…

General Mathematics · Mathematics 2007-05-23 Bhupinder Singh Anand

Non-classical logics are used in a wide spectrum of disciplines, including artificial intelligence, computer science, mathematics, and philosophy. The de-facto standard infrastructure for automated theorem proving, the TPTP World, currently…

Artificial Intelligence · Computer Science 2022-02-22 Alexander Steen , David Fuenmayor , Tobias Gleißner , Geoff Sutcliffe , Christoph Benzmüller

Language processing is at the heart of current developments in artificial intelligence, and quantum computers are becoming available at the same time. This has led to great interest in quantum natural language processing, and several early…

Quantum Physics · Physics 2025-01-14 Dominic Widdows , Willie Aboumrad , Dohun Kim , Sayonee Ray , Jonathan Mei

It is argued that the problem of interpreting quantum mechanics, and the philosophical problem of consciousness, both have their roots in the same set of misguided Cartesian assumptions. The confusions underlying those assumptions are…

History and Philosophy of Physics · Physics 2025-04-07 D. M. Appleby

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

The computer-mechanization of an ambitious explicit ethical theory, Gewirth's Principle of Generic Consistency, is used to showcase an approach for representing and reasoning with ethical theories exhibiting complex logical features like…

Logic in Computer Science · Computer Science 2019-06-18 David Fuenmayor , Christoph Benzmüller

Recent experimental studies on human cognition, particularly where non-separable or entangled cognitive states have been found, show that in many such cases Bell or CHSH inequalities have been violated. The implications are that greater…

General Physics · Physics 2023-04-18 Stuart Kauffman , Sudip Patra