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This paper examines the incommensurability thesis - one of the most important and controversial ideas to emerge from the simultaneous work of Kuhn and Feyerabend. In the first half, I discuss three aspects of incommensurability -…

History and Philosophy of Physics · Physics 2022-05-24 Kharanshu Solanki

The purpose of this letter is to show, on the one hand, how the so-called train paradox could be resolved directly without appealing to non-linear Lorentz transformations. The resolution is established in the most general case of…

Mathematical Physics · Physics 2009-11-10 M. Azreg-Ainou

This is a short text covering some topics on the Foundations of Quantum Theory and it includes some comments on the recent Nature article by D. Frauchiger and R. Renner. The so-called "paradox" is simply due to a misunderstanding on the…

Quantum Physics · Physics 2019-01-15 Daniel V. Tausk

This note is a reaction to Conant and Kruckman's recent preprint `Three surprising instance of dividing'. It mainly consists of an erratum to the author's paper `Forking, imaginaries and other features of ACFG', in light of the results of…

Logic · Mathematics 2023-12-01 Christian d'Elbée

Both at formal and philosophical levels, decades of efforts have been devoted to a deciphering of the `quantum enigma', the `crazy way quantum objects behave', to quote R.P. Feynman's words. We posit that the enigma cannot recede without…

General Physics · Physics 2024-12-04 D-M. Cabaret , T. Grandou , E. Perrier

In 1935, in a paper entitled "Can quantum-mechanical description of reality be considered complete?", Einstein, Podolsky, and Rosen (EPR) formulated an apparent paradox of quantum theory. They considered two quantum systems that were…

High Energy Physics - Phenomenology · Physics 2020-02-19 Zhoudunming Tu , Dmitri Kharzeev , Thomas Ullrich

This article reads the four paradoxes mechanised in the coq-paradoxes package, namely the Burali-Forti paradox in system U, the Diaconescu paradox that the axiom of choice entails excluded middle, the Reynolds paradox that System F has no…

Logic in Computer Science · Computer Science 2026-05-28 Bernardo Alonso

We give a new proof for Godel's second incompleteness theorem, based on Kolmogorov complexity, Chaitin's incompleteness theorem, and an argument that resembles the surprise examination paradox. We then go the other way around and suggest…

Logic · Mathematics 2010-11-24 Shira Kritchman , Ran Raz

As Lanzagorta and Crowder have shown in their Comment [Phys. Rev. A 96, 026101 (2017)], the linear application of the Wigner rotations to the quantum state of two massive relativistic particles does not entail the instantaneous transmission…

Quantum Physics · Physics 2017-08-31 Pablo L. Saldanha , Vlatko Vedral

We introduce new obstructions to rationality for geometrically rational threefolds arising from the geometry of curves and their cycle maps.

Algebraic Geometry · Mathematics 2019-08-02 Brendan Hassett , Yuri Tschinkel

In Newcomb's paradox you choose to receive either the contents of a particular closed box, or the contents of both that closed box and another one. Before you choose, a prediction algorithm deduces your choice, and fills the two boxes based…

Computer Science and Game Theory · Computer Science 2010-03-09 David H. Wolpert , Gregory Benford

Demonstrations of quantum entanglement which confirm the violation of Bell's inequality indicate that under certain conditions action at a distance is possible. This consequence seems to contradict the relativistic principle of causality,…

Quantum Physics · Physics 2018-11-02 Yoram Kirsh

The material conditional has long been charged with paradox. Defined truth-functionally, it renders true any conditional whose antecedent is false or consequent true -- hence, seemingly absurd statements such as `If unicorns exist, then…

Logic · Mathematics 2026-03-16 Alexander V. Gheorghiu

The paper investigates from a proof-theoretic perspective various non-contractive logical systems circumventing logical and semantic paradoxes. Until recently, such systems only displayed additive quantifiers (Gri\v{s}in, Cantini). Systems…

Logic · Mathematics 2025-01-08 Carlo Nicolai , Mario Piazza , Matteo Tesi

We make some remarks on the mathematics and metaphysics of the hole argument, in response to a recent article in this journal by Weatherall ([2018]). Broadly speaking, we defend the mainstream philosophical literature from the claim that…

History and Philosophy of Physics · Physics 2021-11-02 Oliver Pooley , James Read

The Gibbs paradox has frequently been interpreted as a sign that particles of the same kind are fundamentally indistinguishable; and that quantum mechanics, with its identical fermions and bosons, is indispensable for making sense of this.…

Quantum Physics · Physics 2010-03-02 Dennis Dieks

The special theory of relativity is the foundation of modern physics, but its unusual postulate of invariant vacuum speed of light results in a number of plausible paradoxes. This situation leads to radical criticisms and suspicions against…

General Physics · Physics 2011-04-05 Ying-Qiu Gu

We discuss some paradoxes arising due to the gauge-dependence of canonical variables in mechanics.

Physics Education · Physics 2007-05-23 I. B. Khriplovich , A. I. Milstein

It is shown in detail why the arguments put forward by Struyve and Baere (quant-ph/0108038) against my conclusions are incorrect.

Quantum Physics · Physics 2007-05-23 Partha Ghose

Einstein-Podolsky-Rosen (EPR) paradox is considered in a relation to a measurement of an arbitrary quantum system . It is shown that the EPR paradox always appears in a gedanken experiment with two successively joined measuring devices.

Quantum Physics · Physics 2007-05-23 Konstantin Kladko