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There are three principle paradigms of statistics: Bayesian, frequentist and information-based inference. Although these paradigms are in agreement in some contexts, the Lindley paradox describes a class of problems, models of unknown…

Statistics Theory · Mathematics 2017-08-18 Colin H. LaMont , Paul A. Wiggins

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

Herein we consider various concepts of entropy as measures of the complexity of phenomena and in so doing encounter a fundamental problem in physics that affects how we understand the nature of reality. In essence the difficulty has to do…

Statistical Mechanics · Physics 2007-05-23 Paolo Allegrini , Martina Giuntoli , Paolo Grigolini , Bruce J. West

Recent experiments have perfectly verified the fact that quantum correlations between two entangled particles are stronger than any classical, local pre-quantum worldview allows. This is famously called the EPR paradox first conceived as a…

History and Philosophy of Physics · Physics 2016-04-25 David Weinbaum

The Sapient Paradox is the apparently unexplainable time delay of several ten thousand years following the arrival of Homo sapiens in Asia and Europe and before the introduction of impressive innovations with the agricultural revolution.…

Popular Physics · Physics 2013-12-06 E. Antonello

This contribution argues that the notion of time used in the scientific modeling of reality deprives time of its real nature. Difficulties from logic paradoxes to mathematical incompleteness and numerical uncertainty ensue. How can the…

Other Computer Science · Computer Science 2019-01-23 Roger White , Wolfgang Banzhaf

According to the media, in spring of this year the experiment CDF at Fermilab has made most likely ("this result has a 99.7 percent chance of being correct", Discovery News) a great discovery ("the most significant in physics in half a…

Data Analysis, Statistics and Probability · Physics 2011-12-20 G. D'Agostini

Paradoxes are a very frequent phenomenon in processes of thought which strive towards the intelectual and cognitive shifts. They occur in all areas of human spiritual activites. What we are interested here in, are the paradoxes in physics.…

Popular Physics · Physics 2008-12-16 Dragoljub A. Cucic

This paper develops a detailed quantitative model which uses the Drake equation and an assumption of an average maximum radio broadcasting distance by an communicative civilization to derive a minimum civilization density for contact…

General Physics · Physics 2010-02-07 Reginald D. Smith

The doomsday argument is a probabilistic argument that claims to predict the total lifetime of the human race. By examining the case of an individual lifetime, I conclude that the argument is fundamentally related to consciousness. I derive…

General Relativity and Quantum Cosmology · Physics 2007-05-23 John F. G. Eastmond

Hypothetical existence of other universes gives an opportunity not only to extend the scope of physics, but the scope of biology, SETI, and METI as well. Some steps of the development of alien life concept shall be briefly summarized, then…

History and Philosophy of Physics · Physics 2016-08-08 Zoltan Galantai

The problematic relationship between science and philosophy has, since the beginning of modernity, divided the world into two separate domains: nature and human. Some of today's schools of philosophy and epistemological inquiry have…

History and Philosophy of Physics · Physics 2019-10-01 Vedad Famourzadeh , Maysam Sefidkhosh

Consider the following story: A teacher announces to her students a test for the following week, such that the test will be ``surprising''. The students use this as the basis for a ``logical derivation'' and reach a contradiction, which…

Logic · Mathematics 2026-02-04 Martin Dietzfelbinger

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

It has been argued that self-replicating robotic probes could spread to all stars of our galaxy within a timespan that is tiny on cosmological scales, even if they travel well below the speed of light. The apparent absence of such von…

Popular Physics · Physics 2016-06-02 Axel Kowald

We discuss the Carter's formula about the mankind evolution probability following the derivation proposed by Barrow and Tipler. We stress the relation between the existence of billions of galaxies and the evolution of at least one…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Feoli , S. Rampone

In this article, we attempt to convince the reader that the origin of life was such an exceptionally unlikely event that it probably has never occurred elsewhere. This involves an explicit calculation using the laws of physics which, while…

High Energy Physics - Phenomenology · Physics 2025-05-12 Paul Howard Frampton

One of the mainstays of the controversial "rare Earth" hypothesis is the "Goldilocks problem" regarding various parameters describing a habitable planet, partially involving the role of mass extinctions and other catastrophic processes in…

Astrophysics · Physics 2007-12-30 Milan M. Cirkovic

The 1961 Ellsberg paradox is typically seen as an empirical challenge to the subjective expected utility framework. Experiments based on Ellsberg's design have spawned a variety of new approaches, culminating in a new paradigm represented…

Theoretical Economics · Economics 2023-01-10 Christoph Kuzmics , Brian W. Rogers , Xiannong Zhang

The existence of life is one of the most fundamental problems of astrophysics. The intriguing existence of progressively complex and apparently improbable living beings should be a general tendency of life in the Universe. We are looking…

Biological Physics · Physics 2022-10-12 Francisco Sánchez , Eduardo Battaner