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The gap between classical mechanics and quantum mechanics has an important interpretive implication: the Universe must have an irreducible fundamental level, which determines the properties of matter at higher levels of organization. We…

量子物理 · 物理学 2007-05-23 G. N. Mardari

Representing the semantics of linguistic items in a machine-interpretable form has been a major goal of Natural Language Processing since its earliest days. Among the range of different linguistic items, words have attracted the most…

计算与语言 · 计算机科学 2016-08-04 José Camacho-Collados , Ignacio Iacobacci , Roberto Navigli , Mohammad Taher Pilehvar

Cities are systems with a large number of constituents and agents interacting with each other and can be considered as emblematic of complex systems. Modeling these systems is a real challenge and triggered the interest of many disciplines…

物理与社会 · 物理学 2019-10-23 Marc Barthelemy

This work discusses how to build more rational language and multimodal agents and what criteria define rationality in intelligent systems. Rationality is the quality of being guided by reason, characterized by decision-making that aligns…

Humans often employ figurative language use in communication, including during interactions with dialog systems. Thus, it is important for real-world dialog systems to be able to handle popular figurative language constructs like metaphor…

计算与语言 · 计算机科学 2021-10-05 Harsh Jhamtani , Varun Gangal , Eduard Hovy , Taylor Berg-Kirkpatrick

Artificial intelligence assisted mathematical proof has become a highly focused area nowadays. One key problem in this field is to generate formal mathematical proofs from natural language proofs. Due to historical reasons, the formal proof…

编程语言 · 计算机科学 2024-05-14 Lihan Xie , Zhicheng Hui , Qinxiang Cao

Making a linguistic theory is like making a programming language: one typically devises a type system to delineate the acceptable utterances and a denotational semantics to explain observations on their behavior. Via this connection, the…

计算与语言 · 计算机科学 2007-05-23 Chung-chieh Shan

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,…

综合数学 · 数学 2007-05-23 Bhupinder Singh Anand

An introduction to applied mathematics written for students in engineering and science. Focus is on a rigorous presentation that also builds understanding by discussion, analogy, and examples. Discussion of concepts involved in modeling…

历史与综述 · 数学 2023-05-10 Brian D Wood

Some relations between physics and finitary and infinitary mathematics are explored in the context of a many-minds interpretation of quantum theory. The analogy between mathematical ``existence'' and physical ``existence'' is considered…

量子物理 · 物理学 2007-05-23 Matthew J. Donald

Motivated by the question what it is that makes quantum mechanics a holistic theory (if so), I try to define for general physical theories what we mean by `holism'. For this purpose I propose an epistemological criterion to decide whether…

量子物理 · 物理学 2009-01-20 M. P. Seevinck

In this article I deal with the notion of observation in the most fundamental sense and its representation by means of formal languages serving as expressional tools of formal-axiomatical theories. In doing so, I have taken this notion in…

量子物理 · 物理学 2009-02-10 Stathis Livadas

Applications of quantum mechanics have led to many successful predictions and explanations of puzzling phenomena, and we now apply quantum mechanics to gain, process, and communicate information in novel ways. We can understand quantum…

量子物理 · 物理学 2026-04-03 Richard Healey

Human language can be described as a complex network of linked words. In such a treatment, each distinct word in language is a vertex of this web, and neighboring words in sentences are connected by edges. It was recently found (Ferrer and…

统计力学 · 物理学 2007-05-23 S. N. Dorogovtsev , J. F. F. Mendes

A logic is presented for reasoning on iterated sequences of formulae over some given base language. The considered sequences, or "schemata", are defined inductively, on some algebraic structure (for instance the natural numbers, the lists,…

计算机科学中的逻辑 · 计算机科学 2012-04-16 Mnacho Echenim , Nicolas Peltier

Quantum theory's irreducible empirical core is a probability calculus. While it presupposes the events to which (and on the basis of which) it serves to assign probabilities, and therefore cannot account for their occurrence, it has to be…

量子物理 · 物理学 2014-11-03 Ulrich Mohrhoff

Quantum Physics and Logic is an annual conference that brings together researchers working on mathematical foundations of quantum physics, quantum computing, and related areas, with a focus on structural perspectives and the use of logical…

量子物理 · 物理学 2019-01-29 Peter Selinger , Giulio Chiribella

The paper defends the thesis that analysis of truth problem in the context of interpretations of quantum logic allows to reveal the prospect of elicitation of specifics of the relations between quantum mechanics and quantum logic in a…

物理学史与哲学 · 物理学 2014-07-11 Sergey Kulikov

In order to design strong paradigms for isolating lexical access and semantics, we need to know what a word is. Surprisingly few linguists and philosophers have a clear model of what a word is, even though words impact basically every…

计算与语言 · 计算机科学 2024-02-21 Elliot Murphy

Can a machine understand the meanings of natural language? Recent developments in the generative large language models (LLMs) of artificial intelligence have led to the belief that traditional philosophical assumptions about machine…

计算与语言 · 计算机科学 2023-10-27 Vladimír Havlík