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This paper is the first in a series whose goal is to develop a fundamentally new way of constructing theories of physics. The motivation comes from a desire to address certain deep issues that arise when contemplating quantum theories of…

量子物理 · 物理学 2008-11-26 A. Doering , C. J. Isham

Speakers of all human languages make use of grammatical devices to express attributional qualities, feelings, and opinions as well as to provide meta-commentary on topics in discourse. In general, linguists refer to this category as…

计算与语言 · 计算机科学 2022-02-22 Harshit Parmar , Jeffrey P. Williams

In order to describe natural phenomena, science develops sophisticated models that use mathematical and formal languages which seem, and often are, very far from common experience. When a phenomenon is not accessible to our senses, its…

物理教育 · 物理学 2016-01-08 Vera Montalbano

Most physics theories are deterministic, with the notable exception of quantum mechanics which, however, comes plagued by the so-called measurement problem. This state of affairs might well be due to the inability of standard mathematics to…

物理学史与哲学 · 物理学 2021-11-04 Nicolas Gisin

In order for language models to aid physics research, they must first encode representations of mathematical and natural language discourse which lead to coherent explanations, with correct ordering and relevance of statements. We present a…

计算与语言 · 计算机科学 2023-06-05 Jordan Meadows , Zili Zhou , Andre Freitas

The purpose of this essay is to bring out the unique role of Mathematics in providing a base to the diverse sciences which conform to its rigid structure. Of these the physical and economic sciences are so intimately linked with…

科普物理 · 物理学 2012-02-29 A. N. Mitra

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…

物理学史与哲学 · 物理学 2012-12-27 Alex Harvey

Results of measurements give legitimacy to a physical theory. What if acquiring these results in the first place necessitates what the same theory considers to be an interaction? In this note, we assume that theories account for…

量子物理 · 物理学 2019-05-01 Arne Hansen , Stefan Wolf

Mathematics is an essential element of physics problem solving, but experts often fail to appreciate exactly how they use it. Math may be the language of science, but math-in-physics is a distinct dialect of that language. Physicists tend…

物理教育 · 物理学 2007-05-23 Edward F. Redish

Mathematics is usually regarded as a kind of language. The essential behavior of physical phenomena can be expressed by mathematical laws, providing descriptions and predictions. In the present essay I argue that, although mathematics can…

物理学史与哲学 · 物理学 2016-04-01 Christine Cordula Dantas

We introduce regular language states, a family of quantum many-body states. They are built from a special class of formal languages, called regular, which has been thoroughly studied in the field of computer science. They can be understood…

Formal languages theory is useful for the study of natural language. In particular, it is of interest to study the adequacy of the grammatical formalisms to express syntactic phenomena present in natural language. First, it helps to draw…

计算与语言 · 计算机科学 2017-03-14 Franco M. Luque

The world of mathematics is often considered abstract, with its symbols, concepts, and topics appearing unrelated to physical objects. However, it is important to recognize that the development of mathematics is fundamentally influenced by…

综合物理 · 物理学 2023-06-08 Biao Wu

Traditional linguistic theories have largely regard language as a formal system composed of rigid rules. However, their failures in processing real language, the recent successes in statistical natural language processing, and the findings…

计算与语言 · 计算机科学 2020-12-02 Shuiyuan Yu , Chunshan Xu , Haitao Liu

Physics makes powerful use of mathematics, yet the way this use is made is often poorly understood. Professionals closely integrate their mathematical symbology with physical meaning, resulting in a powerful and productive structure. But…

物理教育 · 物理学 2010-02-03 Edward F. Redish , Ayush Gupta

This paper is a reflexion on the computability of natural language semantics. It does not contain a new model or new results in the formal semantics of natural language: it is rather a computational analysis of the logical models and…

计算与语言 · 计算机科学 2016-05-16 Richard Moot , Christian Retoré

A description of physical reality in which wholeness is the foundation is discussed along with the motivation for such an attempt. As a possible mathematical framework within which a physical theory based on wholeness may be expressed,…

综合物理 · 物理学 2015-06-26 Barbara Piechocinska

"Natural languages are programming languages for minds." Can we or should we take this slogan seriously? If so, how? Can answers be found by looking at the various "dynamic" treatments of natural language developed over the last decade or…

cmp-lg · 计算机科学 2008-02-03 David Israel

Languages vary widely in how meanings map to word forms. These mappings have been found to support efficient communication; however, this theory does not account for systematic relations within word forms. We examine how a restricted set of…

计算与语言 · 计算机科学 2026-01-27 Doreen Osmelak , Yang Xu , Michael Hahn , Kate McCurdy

If language evolved by sexual selection to display superior intelligence, then we require conversational skills, to impress other people, gain high social status, and get a mate. Conversational skills include a Theory of Mind, a sense of…

神经元与认知 · 定量生物学 2024-05-13 Robert Worden