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The problem of comparing concepts of dependence in general rough sets with those in probability theory had been initiated by the present author in some of her recent papers. This problem relates to the identification of the limitations of…

Logic · Mathematics 2018-04-09 A Mani

I argue that the Oxford school Everett interpretation is internally incoherent, because we cannot claim that in an Everettian universe the kinds of reasoning we have used to arrive at our beliefs about quantum mechanics would lead us to…

History and Philosophy of Physics · Physics 2015-04-07 Emily Adlam

After a brief introduction to issues that plague the realization of a theory of quantum gravity, I suggest that the main one concerns a quantization of the principle of relative simultaneity. This leads me to a distinction between time and…

Quantum Physics · Physics 2018-05-07 Henrique de A. Gomes

This paper revisits Buridan's Bridge paradox (Sophismata, chapter 8, Sophism 17), itself close kin to the Liar paradox, a version of which also appears in Bradwardine's Insolubilia. Prompted by the occurrence of the paradox in Cervantes's…

History and Overview · Mathematics 2022-09-29 Paul Égré

Two statements by von Neumann and a thought-experiment by Peres prompts a discussion on the notions of one-shot distinguishability, orthogonality, semi-permeable diaphragm, and their thermodynamic implications. In the first part of the…

Quantum Physics · Physics 2007-05-23 P. G. L. Mana , A. Maansson , G. Bjoerk

In the paper, we tackle the following questions: Could the difficulty in solving the Schrodinger equation for an arbitrarily large system be a reflection of some nature intrinsic property? And if so, could this difficulty be a resolution to…

Quantum Physics · Physics 2017-08-23 Arkady Bolotin

I examine the debate between substantivalists and relationalists about the ontological character of spacetime and conclude it is not well posed. I argue that the so-called Hole Argument does not bear on the debate, because it provides no…

History and Philosophy of Physics · Physics 2021-03-04 E. Curiel

The formalism of quantum theory in Hilbert space has been applied with success to the modeling and explanation of several cognitive phenomena, whereas traditional cognitive approaches were problematical. However, this 'quantum cognition…

Artificial Intelligence · Computer Science 2019-02-12 Diederik Aerts , Lyneth Beltran , Massimiliano Sassoli de Bianchi , Sandro Sozzo , Tomas Veloz

I provide a critical commentary regarding the attitude of the logician and the philosopher towards the physicist and physics. The commentary is intended to showcase how a general change in attitude towards making scientific inquiries can be…

General Physics · Physics 2021-10-22 Abhishek Majhi

We introduce a new version of arithmetic in all finite types which extends the usual versions with primitive notions of extensionality and extensional equality. This new hybrid version allows us to formulate a strong form of extensionality,…

Logic · Mathematics 2023-10-26 Benno van den Berg

We discuss the circumstances under which gravity might be repulsive rather than attractive. In particular we show why our standard solar system distance scale gravitational intuition need not be a reliable guide to the behavior of…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Philip D. Mannheim

The philosophy of the trajectory representation is contrasted with the Copenhagen and Bohmian philosophies.

Quantum Physics · Physics 2007-05-23 Edward R. Floyd

Reductionism has dominated science and philosophy for centuries. Complexity has recently shown that interactions---which reductionism neglects---are relevant for understanding phenomena. When interactions are considered, reductionism…

Adaptation and Self-Organizing Systems · Physics 2014-02-17 Carlos Gershenson

In recent years, the logic of questions and dependencies has been investigated in the closely related frameworks of inquisitive logic and dependence logic. These investigations have assumed classical logic as the background logic of…

Logic · Mathematics 2020-11-11 Ivano Ciardelli , Rosalie Iemhoff , Fan Yang

Algebraic dichotomy is a generalization of an exponential dichotomy (Lin, JDE2009). This paper gives a version of Hartman-Grobman linearization theorem assuming that linear system admits an algebraic dichotomy, which generalizes the…

Classical Analysis and ODEs · Mathematics 2023-06-16 Chaofan Pan , Manuel Pinto , Y. H. Xia

In this short review I present my personal reflections on QBism. I have no intrinsic sympathy neither to QBism nor to subjective interpretation of probability in general. However, I have been following development of QBism from its very…

Quantum Physics · Physics 2018-07-18 Andrei Khrennikov

A classification of different interpretations of the quantum formalism is examined and the concept of perspectival interpretation is presented. A perspectival interpretation implies that the truth is relative to the observer. The degree to…

Quantum Physics · Physics 2023-10-11 Herve Zwirn

The question whether an ontology can safely be replaced by another, possibly simpler, one is fundamental for many ontology engineering and maintenance tasks. It underpins, for example, ontology versioning, ontology modularization,…

Artificial Intelligence · Computer Science 2018-04-24 Elena Botoeva , Boris Konev , Carsten Lutz , Vladislav Ryzhikov , Frank Wolter , Michael Zakharyaschev

In this paper, the second of two companion pieces, we explore novel philosophical questions raised by recent progress in large language models (LLMs) that go beyond the classical debates covered in the first part. We focus particularly on…

Computation and Language · Computer Science 2024-05-07 Raphaël Millière , Cameron Buckner

Recent high-precision experimental confirmations of quantum complementarity have revitalized foundational debates about measurement, description, and realism. This article argues that complementarity is most productively interpreted as an…

Neurons and Cognition · Quantitative Biology 2026-01-23 Lalit Kumar Shukla