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The most important problems for society are describable only in vague terms, dependent on subjective positions, and missing highly relevant data. This thesis is intended to revive and further develop the view that giving non-trivial,…

计算机科学中的逻辑 · 计算机科学 2018-09-27 Robert Dustin Wehr

Model selection and assessment with incomplete data pose challenges in addition to the ones encountered with complete data. There are two main reasons for this. First, many models describe characteristics of the complete data, in spite of…

统计方法学 · 统计学 2008-08-28 Geert Verbeke , Geert Molenberghs , Caroline Beunckens

Rapid advances in artificial intelligence necessitate a re-examination of the epistemological foundations upon which we attribute consciousness. As AI systems increasingly mimic human behavior and interaction with high fidelity, the concept…

人工智能 · 计算机科学 2025-10-07 Shurui Li

The concept of complexity appears in virtually all areas of knowledge. Its intuitive meaning shares similarities across fields, but disagreements between its details hinders a general definition, leading to a plethora of proposed…

统计力学 · 物理学 2023-10-04 Roberto C. Alamino

Defeasible reasoning is a kind of reasoning where some generalisations may not be valid in all circumstances, that is general conclusions may fail in some cases. Various formalisms have been developed to model this kind of reasoning, which…

人工智能 · 计算机科学 2024-03-06 Gabriele Sacco , Loris Bozzato , Oliver Kutz

Some attack scientific rationality, others defend it, but both miss the point. What both parties take to be scientific rationality is actually a species of irrationality masquerading as scientific rationality. The current orthodox…

物理学史与哲学 · 物理学 2020-01-29 Nicholas Maxwell

Substantial efforts have been made in developing various Decision Modeling formalisms, both from industry and academia. A challenging problem is that of expressing decision knowledge in the context of incomplete knowledge. In such contexts,…

人工智能 · 计算机科学 2023-12-19 Đorđe Marković , Simon Vandevelde , Linde Vanbesien , Joost Vennekens , Marc Denecker

Our main result (Theorem A) shows the incompleteness of any consistent sequential theory T formulated in a finite language such that T is axiomatized by a collection of sentences of bounded quantifier-alternation-depth. Our proof employs an…

逻辑 · 数学 2024-02-19 Ali Enayat , Albert Visser

For a newcomer, paraconsistent logics can be difficult to grasp. Even experts in logic can find the concept of paraconsistency to be suspicious or misguided, if not actually wrong. The problem is that although they usually have much in…

逻辑 · 数学 2013-12-17 Jesse Alama

It is commonly believed that failures of tomographic completeness undermine assessments of nonclassicality in noncontextuality experiments. In this work, we study how such failures can indeed lead to mistaken assessments of nonclassicality.…

It is argued that Goedel's incompleteness theorem should be seen as self-evident, rather than unexpected or surprising.

综合数学 · 数学 2007-05-23 Elemer E Rosinger

This is a philosophical paper. It claims that there is a gap to be filled in the relationship between complexity theory (CT) and quantum theory (QT). This gap concerns two very distinct understandings of time. The paper provides the ground…

物理学史与哲学 · 物理学 2016-11-23 Carlos Eduardo Maldonado

We extend the treatment of functional dependence, the basic concept of dependence logic, to include the possibility of dependence with a limited number of exceptions. We call this approximate dependence. The main result of the paper is a…

逻辑 · 数学 2014-08-20 Jouko Väänänen

This paper will develop a single framework for unifying, simplifying and extending our prior results about axiom systems that retain a partial knowledge of their own consistency, via an axiomatic declaration of self-consistency. Its perhaps…

逻辑 · 数学 2012-01-04 Dan E. Willard

Increasingly encompassing models have been suggested for our world. Theories range from generally accepted to increasingly speculative to apparently bogus. The progression of theories from ego- to geo- to helio-centric models to universe…

信息论 · 计算机科学 2010-11-04 Marcus Hutter

The envelope theory is an easy-to-use approximation method to obtain eigensolutions for some quantum many-body systems, in particular in the domain of hadronic physics. Even if the solutions are reliable and an improvement procedure exists,…

量子物理 · 物理学 2024-02-16 Lorenzo Cimino , Cyrille Chevalier , Ethan Carlier , Joachim Viseur

Argumentation is a non-monotonic process. This reflects the fact that argumentation involves uncertain information, and so new information can cause a change in the conclusions drawn. However, the base logic does not need to be…

人工智能 · 计算机科学 2018-09-05 Anthony Hunter

When reasoning in description, modal or temporal logics it is often useful to consider axioms representing universal truths in the domain of discourse. Reasoning with respect to an arbitrary set of axioms is hard, even for relatively…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Ian Horrocks , Stephan Tobies

Quantum nanosystems are exremely diverse and often very complicated. That is why new methods of a simple description of such systems ensuring the retention of essential part of information at small numbers of parameters are needed. We…

综合物理 · 物理学 2013-02-26 N. N. Trunov

The cumulative hierarchy conception of set, which is based on the conception that sets are inductively generated from "former" sets, is generally considered a good way to create a set conception that seems safe from contradictions. This…

历史与综述 · 数学 2011-11-16 Rafi Shalom