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The standard assumptions that underlie many conceptual and quantitative frameworks do not hold for many complex physical, biological, and social systems. Complex systems science clarifies when and why such assumptions fail and provides…

物理与社会 · 物理学 2020-11-11 Alexander F. Siegenfeld , Yaneer Bar-Yam

General relativity, despite its profound successes, fails as a complete theory due to presence of singularities. While it is widely believed that quantum gravity has the potential to be a complete theory, in which spacetime consistently…

广义相对论与量子宇宙学 · 物理学 2025-12-01 Mir Faizal , Lawrence M. Krauss , Arshid Shabir , Francesco Marino , Behnam Pourhassan

We introduce a hierarchical classification of theories that describe systems with fundamentally limited information content. This property is introduced in an operational way and gives rise to the existence of mutually complementary…

量子物理 · 物理学 2010-05-27 Tomasz Paterek , Borivoje Dakic , Caslav Brukner

A qualitatively new, much more liberal and efficient organisation of science is proposed and justified, in connection with growing debate about further role and development of fundamental science. Although the key ideas can be explained…

综合物理 · 物理学 2007-05-23 Andrei P. Kirilyuk

In many situations humans have to reason with inconsistent knowledge. These inconsistencies may occur due to not fully reliable sources of information. In order to reason with inconsistent knowledge, it is not possible to view a set of…

人工智能 · 计算机科学 2024-12-16 Nico Roos

An inductive logic can be formulated in which the elements are not propositions or probability distributions, but information systems. The logic is complete for information systems with binary hypotheses, i.e., it applies to all such…

人工智能 · 计算机科学 2013-04-11 Norman C. Dalkey

The Aristotelian syllogistic cannot account for the validity of many inferences involving relational facts. In this paper, we investigate the prospects for providing a relational syllogistic. We identify several fragments based on (a)…

计算机科学中的逻辑 · 计算机科学 2024-04-24 Ian Pratt-Hartmann , Lawrence S. Moss

The problem of consciousness faced several challenges for a few reasons: (a) a lack of necessary and sufficient conditions, without which we would not know how close we are to the solution, (b) a lack of a synthesis framework to build…

人工智能 · 计算机科学 2011-04-14 Muralidhar Ravuri

Large language models (LLMs) are increasingly deployed in settings where the available context is incomplete or degraded. We argue that an LLM generating answers under incomplete context can be viewed as an implicit imputer, and evaluated…

机器学习 · 统计学 2026-05-14 Stef van Buuren

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…

物理学史与哲学 · 物理学 2015-01-14 George Jaroszkiewicz

Modern science increasingly relies on ever-growing observational datasets and automated inference pipelines, under the implicit belief that accumulating more data makes scientific conclusions more reliable. Here we show that this belief can…

机器学习 · 计算机科学 2026-02-06 Zhipeng Zhang , Kai Li

In this paper, we discuss different models for human logic systems and describe a game with nature. G\"odel`s incompleteness theorem is taken into account to construct a model of logical networks based on axioms obtained by symmetry…

适应与自组织系统 · 物理学 2007-05-23 Fariel Shafee

A key assumption fuelling optimism about the progress of large language models (LLMs) in accurately and comprehensively modelling the world is that the truth is systematic: true statements about the world form a whole that is not just…

计算机与社会 · 计算机科学 2025-07-15 Matthieu Queloz

The aim of this article is to generalize logics of formal inconsistency ($\textbf{LFI}$s) to systems dealing with the concept of incompatibility, expressed by means of a binary connective. The basic idea is that having two incompatible…

Complementarity is one of the main features of quantum physics that radically departs from classical notions. Here we consider the limitations that this principle imposes due to the unpredictability of measurement outcomes of incompatible…

量子物理 · 物理学 2020-09-29 F. E. S. Steinhoff , M. C. de Oliveira

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

The purpose of this paper is to elucidate, by means of concepts and theorems drawn from mathematical logic, the conditions under which the existence of a multiverse is a logical necessity in mathematical physics, and the implications of…

综合物理 · 物理学 2014-11-20 Gordon McCabe

Process Philosophy endeavours to replace the classical ontology of substances by a process ontology centered on notions of changes and transitions. We argue, that the substantial and processual approach are mutually complementary. Here,…

量子物理 · 物理学 2010-02-26 Hartmann Roemer

We initiate an investigation how the fundamental concept of independence can be represented effectively in the presence of incomplete information in relational databases. The concepts of possible and certain independence are proposed, and…

数据库 · 计算机科学 2025-10-10 Miika Hannula , Minna Hirvonen , Juha Kontinen , Sebastian Link

Evidence for fine-tuning of physical parameters suitable for life can perhaps be explained by almost any combination of providence, coincidence or multiverse. A multiverse usually includes parts unobservable to us, but if the theory for it…

高能物理 - 理论 · 物理学 2007-05-23 Don N. Page