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Quantitative linguistics has provided us with a number of empirical laws that characterise the evolution of languages and competition amongst them. In terms of language usage, one of the most influential results is Zipf's law of word…

Physics and Society · Physics 2009-01-21 Alvaro Corral , Ramon Ferrer-i-Cancho , Gemma Boleda , Albert Diaz-Guilera , .

Cognitive diversity, reflected in variations of language, perspective, and reasoning, is essential to creativity and collective intelligence. This diversity is rich and grounded in culture, history, and individual experience. Yet as large…

Computation and Language · Computer Science 2026-01-07 Zhivar Sourati , Alireza S. Ziabari , Morteza Dehghani

Epistemic logic has become a major field of philosophical logic ever since the groundbreaking work by Hintikka (1962). Despite its various successful applications in theoretical computer science, AI, and game theory, the technical…

Artificial Intelligence · Computer Science 2016-11-24 Yanjing Wang

Computational Logic is the use of computers to establish facts in a logical formalism. Originating in 19th-century attempts to understand the nature of mathematical reasoning, the subject now comprises a wide variety of formalisms,…

Logic in Computer Science · Computer Science 2018-11-14 Lawrence C Paulson

The words of a language reflect the structure of the human mind, allowing us to transmit thoughts between individuals. However, language can represent only a subset of our rich and detailed cognitive architecture. Here, we ask what kinds of…

Computation and Language · Computer Science 2018-03-07 Gabriel Grand , Idan Asher Blank , Francisco Pereira , Evelina Fedorenko

Language has long been conceived as an essential tool for human reasoning. The breakthrough of Large Language Models (LLMs) has sparked significant research interest in leveraging these models to tackle complex reasoning tasks. Researchers…

Leibniz thought experiment of perception, sensing, and thinking is reconsidered. We try to understand Leibniz picture in view of our knowledge of basic neuroscience. In particular we can see how the emergence of consciousness could in…

Neurons and Cognition · Quantitative Biology 2013-09-05 Markos Maniatis

We re-evaluate the great Leibniz-Newton calculus debate, exactly three hundred years after it culminated, in 1712. We reflect upon the concept of invention, and to what extent there were indeed two independent inventors of this new…

History and Overview · Mathematics 2012-12-13 Nicholas Kollerstrom

Idioms have long posed a challenge due to their unique linguistic properties, which set them apart from other common expressions. While recent studies have leveraged large language models (LLMs) to handle idioms across various tasks, e.g.,…

Computation and Language · Computer Science 2025-09-24 Jisu Kim , Youngwoo Shin , Uiji Hwang , Jihun Choi , Richeng Xuan , Taeuk Kim

Mathematics and its relation to the physical universe have been the topic of speculation since the days of Pythagoras. Several different views of the nature of mathematics have been considered: Realism - mathematics exists and is…

History and Philosophy of Physics · Physics 2012-12-27 Alex Harvey

The notion of programming paradigms, with associated programming languages and methodologies, is a well established tenet of Computer Science pedagogy, enshrined in international curricula. However, this notion sits ill with Kuhn's classic…

Programming Languages · Computer Science 2020-02-17 Greg Michaelson

Language understanding is a key scientific issue in the fields of cognitive and computer science. However, the two disciplines differ substantially in the specific research questions. Cognitive science focuses on analyzing the specific…

Computation and Language · Computer Science 2023-01-13 Shaonan Wang , Nai Ding , Nan Lin , Jiajun Zhang , Chengqing Zong

Aristotle is generally accepted as the father of logic. The ideas that he raised in his study of logical reasoning carried the development of science over the centuries. Today, in the era of AI, this title of the fatherhood of logic has a…

Artificial Intelligence · Computer Science 2025-03-18 Antonis C. Kakas

The idea of measuring distance between languages seems to have its roots in the work of the French explorer Dumont D'Urville \cite{Urv}. He collected comparative words lists of various languages during his voyages aboard the Astrolabe from…

Computation and Language · Computer Science 2015-05-14 Filippo Petroni , Maurizio Serva

Linguistic commentary on LLMs, heavily influenced by the theoretical frameworks of de Saussure and Chomsky, is often speculative and unproductive. Critics challenge whether LLMs can legitimately model language, citing the need for "deep…

Computation and Language · Computer Science 2025-10-15 Łukasz Borchmann

Multilingual large language models (LLMs) offer promising opportunities for cross-lingual information access, yet their use of factual knowledge remains highly sensitive to the input language. Prior work has addressed this through English…

Computation and Language · Computer Science 2025-11-11 Eojin Kang , Juae Kim

The problematic relationship between science and philosophy has, since the beginning of modernity, divided the world into two separate domains: nature and human. Some of today's schools of philosophy and epistemological inquiry have…

History and Philosophy of Physics · Physics 2019-10-01 Vedad Famourzadeh , Maysam Sefidkhosh

The generalized models for higher-order logics introduced by Leon Henkin, and their multiple offspring over the years, have become a standard tool in many areas of logic. Even so, discussion has persisted about their technical status, and…

Logic · Mathematics 2018-03-30 H. Andréka , J. F. A. K. van Benthem , N. Bezhanishvili , I. Németi

Technology is currently ubiquitous and is also part of the educational system at all levels. It started with communication technology systems, and later continued with digital competence. Nowadays, although these previous concepts are still…

Computers and Society · Computer Science 2025-02-18 Javier Bilbao , Eugenio Bravo , Olatz Garcia , Carolina Rebollar

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