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Philosophers have recently focused on critical, epistemological challenges that arise from the opacity of deep neural networks. One might conclude from this literature that doing good science with opaque models is exceptionally challenging,…

Artificial Intelligence · Computer Science 2024-01-17 Eamon Duede

In this paper, we present a paradox arising from the acceptance of the Law of Excluded Middle (LEM) within classical mathematics. Specifically, we construct a nonzero analytic function on a connected open subset of the complex plane whose…

General Mathematics · Mathematics 2025-02-26 Babak Jabbar Nezhad

Typical arguments against scientific misconduct generally fail to support current policies on research fraud: they may not prove wrong what is usually considered research misconduct and they tend to make wrong things that are not normally…

Physics and Society · Physics 2008-09-17 Mathieu Bouville

The Fermi two-atom problem illustrates an apparent causality violation in Quantum Field Theory which has to do with the nature of the built in correlations in the vacuum. It has been a constant subject of theoretical debate and discussions…

Quantum Physics · Physics 2015-05-27 Erez Zohar , Benni Reznik

This article describes a Turing machine which can solve for $\beta^{'}$ which is RE-complete. RE-complete problems are proven to be undecidable by Turing's accepted proof on the Entscheidungsproblem. Thus, constructing a machine which…

Computational Complexity · Computer Science 2018-04-24 Mark Inman

Twins travelling at constant relative velocity will each see the other's time dilate leading to the apparent paradox that each twin believes the other ages more slowly. In a finite space, the twins can both be on inertial, periodic orbits…

General Relativity and Quantum Cosmology · Physics 2009-11-07 John D. Barrow , Janna Levin

I'll discuss how Goedel's paradox "This statement is false/unprovable" yields his famous result on the limits of axiomatic reasoning. I'll contrast that with my work, which is based on the paradox of "The first uninteresting positive whole…

History and Overview · Mathematics 2007-05-23 G. J. Chaitin

To counter a general belief that all the paradoxes stem from a kind of circularity (or involve some self--reference, or use a diagonal argument) Stephen Yablo designed a paradox in 1993 that seemingly avoided self--reference. We turn…

Logic · Mathematics 2024-04-17 Ahmad Karimi , Saeed Salehi

The information loss paradox is usually stated as an incompatibility between general relativity and quantum mechanics. However, the assumptions leading to the problem are often overlooked and, in fact, a careful inspection of the main…

High Energy Physics - Theory · Physics 2021-10-19 Luca Buoninfante , Francesco Di Filippo , Shinji Mukohyama

Selleri's paradox, based on an analysis of rotating frames, appears to show that the speed of light in an inertial system is not normally isotropic. This in turn seems at odds with the second postulate of special relativity requiring a…

Classical Physics · Physics 2015-06-15 Klaus Kassner

Many writers have observed that default logics appear to contain the "lottery paradox" of probability theory. This arises when a default "proof by contradiction" lets us conclude that a typical X is not a Y where Y is an unusual subclass of…

Artificial Intelligence · Computer Science 2013-04-08 Eric Neufeld , J. D. Horton

After examining the {\bf P} versus {\bf NP} problem against the Kleene-Rosser paradox of the $\lambda$-calculus [94], it was found that it represents a counter-example to NP-completeness. We prove that it contradicts the proof of Cook's…

Logic in Computer Science · Computer Science 2011-11-10 Rafee Ebrahim Kamouna

There have been observations, first from the MAGIC Telescope (July 2005) and quite recently (September 2008) from the FERMI Satellite Telescope, on non-simultaneous arrival of high-energy photons from distant celestial sources. In each…

High Energy Astrophysical Phenomena · Physics 2010-05-28 Nick E. Mavromatos

Recently the Fermi GBM and LAT Collaborations reported their new observational data disfavoring quite a number of the quantum gravity theories, including the one suggesting the nonlinear (logarithmic) modification of a quantum wave…

General Physics · Physics 2009-12-02 Konstantin G. Zloshchastiev

In the paper, the EPR paradox is explored by the approach of quantum supervaluationism that leads to a "gappy" semantics with the propositions giving rise to truth-value gaps. Within this approach, the statement, which asserts that in the…

Quantum Physics · Physics 2017-12-20 Arkady Bolotin

Hardy's paradox is analysed within Feynman's formulation of quantum mechanics. A transition amplitude is represented as a sum over virtual paths which different intermediate measurements convert into different sets of real pathways.…

Quantum Physics · Physics 2009-11-13 D. Sokolovski , I. Puerto Gimenez , R. Sala Mayato

We point out that the contentions of Chapline (astro-ph/0503200)[1] that (i) General Relativity (GR) is in conflict with Quantum Mechanics (QM) and (ii) GR fails even on macroscopic length scales are incorrect and based on (i)…

Astrophysics · Physics 2007-05-23 Abhas Mitra

Gravitation has posed a puzzle and a problem for many decades. Attempts to unify it with other fundamental interactions have failed. These problems and puzzles have been underscored by the likes of Witten and Weinberg. We survey this and…

General Physics · Physics 2007-05-23 B. G. Sidharth

The cosmic "Great Silence" revealed by the Fermi paradox remains a central puzzle in contemporary science. Existing explanations such as the "Big Filter," "Zoo Hypothesis," and "Dark Forest" theory are trapped in isolated frameworks of…

Physics and Society · Physics 2025-09-09 Xiaoyu Yan

Following the renewed interest in the topic [1], we revisit the problem of assigning probabilities to classes of Feynman paths passing through specified space-time regions. We show that by assigning of probabilities to interfering…

Quantum Physics · Physics 2015-06-12 Dmitri Sokolovski
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