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Category theory provides a powerful tool to organize mathematics. A sample of this descriptive power is given by the categorical analysis of the practice of "classes as shorthands" in ZF set theory. In this case category theory provides a…

Logic · Mathematics 2012-12-14 Samuele Maschio

Machines have achieved a broad and growing set of linguistic competencies, thanks to recent progress in Natural Language Processing (NLP). Psychologists have shown increasing interest in such models, comparing their output to psychological…

Computation and Language · Computer Science 2021-04-20 Brenden M. Lake , Gregory L. Murphy

Conceptual entanglement is a crucial phenomenon in quantum cognition because it implies that classical probabilities cannot model non--compositional conceptual phenomena. While several psychological experiments have been developed to test…

Computation and Language · Computer Science 2019-09-24 Tomas Veloz , Xiazhao Zhao , Diederik Aerts

The eventual goal of a language model is to accurately predict the value of a missing word given its context. We present an approach to word prediction that is based on learning a representation for each word as a function of words and…

Computation and Language · Computer Science 2007-05-23 Yair Even-Zohar , Dan Roth

Organized knowledge production can then be considered as the codification of communication. Communications leave traces that can be studied as indicators. Institutions can be considered as retention mechanisms functional for the…

Computers and Society · Computer Science 2009-12-09 Loet Leydesdorff , Andrea Scharnhorst

This article presents a concept-centric paradigm for building agents that can learn continually and reason flexibly. The concept-centric agent utilizes a vocabulary of neuro-symbolic concepts. These concepts, such as object, relation, and…

Artificial Intelligence · Computer Science 2025-05-12 Jiayuan Mao , Joshua B. Tenenbaum , Jiajun Wu

This work analyses main features that should be present in knowledge representation. It suggests a model for representation and a way to implement this model in software. Representation takes care of both low-level sensor information and…

Artificial Intelligence · Computer Science 2007-05-23 Mikalai Birukou

Traditionally, semantics has been seen as a feature of human language. The advent of the information era has led to its widespread redefinition as an information feature. Contrary to this praxis, I define semantics as a special kind of…

Artificial Intelligence · Computer Science 2012-01-05 Emanuel Diamant

Understanding the semantic relationships between terms is a fundamental task in natural language processing applications. While structured resources that can express those relationships in a formal way, such as ontologies, are still scarce,…

Computation and Language · Computer Science 2018-06-21 Vivian S. Silva , Siegfried Handschuh , André Freitas

Over the past 50 years many have debated what representation should be used to capture the meaning of natural language utterances. Recently new needs of such representations have been raised in research. Here I survey some of the…

Computation and Language · Computer Science 2014-03-03 Yarin Gal

We discuss the role of propositions, truth, context and observers in scientific theories. We introduce the concept of generalized proposition and use it to define an algorithm for the classification of any scientific theory. The algorithm…

History and Philosophy of Physics · Physics 2015-01-14 George Jaroszkiewicz

Standard economic theory uses mathematics as its main means of understanding, and this brings clarity of reasoning and logical power. But there is a drawback: algebraic mathematics restricts economic modeling to what can be expressed only…

General Economics · Economics 2021-04-08 W. Brian Arthur

The meaning of a sentence is a function of the relations that hold between its words. We instantiate this relational view of semantics in a series of neural models based on variants of relation networks (RNs) which represent a set of…

Computation and Language · Computer Science 2018-11-27 Lei Yu , Cyprien de Masson d'Autume , Chris Dyer , Phil Blunsom , Lingpeng Kong , Wang Ling

The notion of concept has been studied for centuries, by philosophers, linguists, cognitive scientists, and researchers in artificial intelligence (Margolis & Laurence, 1999). There is a large literature on formal, mathematical models of…

Artificial Intelligence · Computer Science 2021-01-14 Stephen Clark , Alexander Lerchner , Tamara von Glehn , Olivier Tieleman , Richard Tanburn , Misha Dashevskiy , Matko Bosnjak

In this note we suggest that difficulties encountered in natural language semantics are, for the most part, due to the use of mere symbol manipulation systems that are devoid of any content. In such systems, where there is hardly any link…

Artificial Intelligence · Computer Science 2007-12-13 Walid S. Saba

Semantic communication, regarded as the breakthrough beyond the Shannon paradigm, aims at the successful transmission of semantic information conveyed by the source rather than the accurate reception of each single symbol or bit regardless…

Information Theory · Computer Science 2022-06-28 Zhijin Qin , Xiaoming Tao , Jianhua Lu , Wen Tong , Geoffrey Ye Li

First-Order Logic (FOL), also called first-order predicate calculus, is a formal language that provides a framework to comprehensively represent a world and its present state, including all of its entities, attributes, and complex…

Information Theory · Computer Science 2025-11-07 Ahmet Faruk Saz , Siheng Xiong , Faramarz Fekri

Using the previously developed concepts of semantic spacetime, I explore the interpretation of knowledge representations, and their structure, as a semantic system, within the framework of promise theory. By assigning interpretations to…

Artificial Intelligence · Computer Science 2017-08-02 Mark Burgess

This essay considers the special character of mathematical reasoning, and draws on observations from interactive theorem proving and the history of mathematics to clarify the nature of formal and informal mathematical language. It proposes…

History and Overview · Mathematics 2015-08-24 Jeremy Avigad

A common use of language is to refer to visually present objects. Modelling it in computers requires modelling the link between language and perception. The "words as classifiers" model of grounded semantics views words as classifiers of…

Computation and Language · Computer Science 2016-06-06 David Schlangen , Sina Zarriess , Casey Kennington