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We isolate a combinatorial property of capacities leading to a construction of proper forcings. Then we show that many classical capacities such as the Newtonian capacity satisfy the property.

Logic · Mathematics 2007-05-23 Jindrich Zapletal

This paper develops a process-based account of scientific explanation that reconceives grounding in terms of stabilisation. Grounding theories capture hierarchical dependence but lack criteria for when explanations remain adequate under…

History and Philosophy of Physics · Physics 2026-01-05 Jonathon Sendall

As deep neural models in NLP become more complex, and as a consequence opaque, the necessity to interpret them becomes greater. A burgeoning interest has emerged in rationalizing explanations to provide short and coherent justifications for…

Computation and Language · Computer Science 2024-05-21 Neema Kotonya , Francesca Toni

We consider compact objects in a classical and non-relativistic generalisation of Newtonian gravity, dubbed bootstrapped Newtonian theory, which includes higher-order derivative interaction terms of the kind generically present in the…

General Relativity and Quantum Cosmology · Physics 2022-07-14 Roberto Casadio , Iberê Kuntz , Octavian Micu

We motivate and construct a mathematical theory for the separation of space and time in general relativity. The formalism only requires a single observer and an optional choice of reference frame at each instant. As the splitting is done…

Mathematical Physics · Physics 2018-02-15 Maik Reddiger

With help of a compact Prolog-based theorem prover for Intuitionistic Propositional Logic, we synthesize minimal assumptions under which a given formula formula becomes a theorem. After applying our synthesis algorithm to cover basic…

Logic in Computer Science · Computer Science 2022-05-13 Paul Tarau

The new information-theoretic Process Physics provides an explanation of space as a quantum foam system in which gravity is an inhomogeneous flow of the quantum foam into matter. The older Newtonian and General Relativity theories for…

General Physics · Physics 2011-05-12 Reginald T Cahill

In this paper we analyse logic of false belief in intuitionistic setting. This logic, studied in its classical version by Steinsvold, Fan, Gilbert and Venturi, describes the following situation: a formula F is not satisfied in a given…

Logic · Mathematics 2020-12-16 Tomasz Witczak

This paper develops a Reasoning about Actions and Change framework integrated with Default Reasoning, suitable as a Knowledge Representation and Reasoning framework for Story Comprehension. The proposed framework, which is guided strongly…

Artificial Intelligence · Computer Science 2014-07-16 Irene-Anna Diakidoy , Antonis Kakas , Loizos Michael , Rob Miller

We consider a minimal fractional deformation of Newtonian gravity characterized by a single parameter $\alpha$. In the limit $\alpha \to 1$, the theory reduces to standard Newtonian gravity. Previous works showed that the $\Lambda$CDM…

General Relativity and Quantum Cosmology · Physics 2026-03-18 S. M. M. Rasouli

The logic of a physical theory reflects the structure of the propositions referring to the behaviour of a physical system in the domain of the relevant theory. It is argued in relation to classical mechanics that the propositional structure…

Quantum Physics · Physics 2015-04-08 Vassilios Karakostas

Abductive reasoning seeks the likeliest possible explanation for partial observations. Although abduction is frequently employed in human daily reasoning, it is rarely explored in computer vision literature. In this paper, we propose a new…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Chen Liang , Wenguan Wang , Tianfei Zhou , Yi Yang

An analysis using classical stochastic processes is used to construct a consistent system of quantum counterfactual reasoning. When applied to a counterfactual version of Hardy's paradox, it shows that the probabilistic character of quantum…

Quantum Physics · Physics 2009-10-31 Robert B. Griffiths

What is the nature of reality? How should be an answer to this question? At this level, we are so deep that all our concepts are obscure. Quantum theory (QT) is at this level. The quest for interpreting it fails because the clarity of our…

General Physics · Physics 2012-10-19 Frederico R. Pfrimer

Argumentation theory is a powerful paradigm that formalizes a type of commonsense reasoning that aims to simulate the human ability to resolve a specific problem in an intelligent manner. A classical argumentation process takes into account…

Artificial Intelligence · Computer Science 2019-03-06 Maximiliano C. D. Budán , Gerardo I. Simari , Ignacio Viglizzo , Guillermo R. Simari

We discuss epistemological and methodological aspects of the Bayesian approach in astrophysics and cosmology. The introduction to the Bayesian framework is given for a further discussion concerning the Bayesian inference in physics. The…

Data Analysis, Statistics and Probability · Physics 2019-09-27 Jakub Mielczarek , Marek Szydlowski , Pawel Tambor

The introduction of explicit notions of rejection, or disbelief, into logics for knowledge representation can be justified in a number of ways. Motivations range from the need for versions of negation weaker than classical negation, to the…

Artificial Intelligence · Computer Science 2007-05-23 Samir Chopra , Johannes Heidema , Thomas Meyer

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…

Quantum Physics · Physics 2009-02-10 Stathis Livadas

Many papers have been published over the years that either conjecture or even (claim to) prove the universality of the form of Maxwell's equations. We present yet another derivation of Maxwell's equations and discuss the conclusions…

Classical Physics · Physics 2025-01-24 C. Baumgarten

Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post--Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional differential equations,…

General Physics · Physics 2011-08-31 Jaume Giné
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