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In this article we demonstrate how algorithmic probability theory is applied to situations that involve uncertainty. When people are unsure of their model of reality, then the outcome they observe will cause them to update their beliefs. We…

Artificial Intelligence · Computer Science 2014-05-26 Phil Maguire , Philippe Moser , Rebecca Maguire , Mark Keane

A classical probabilistic explanation for Hardy's quantum paradox is demonstrated.

Quantum Physics · Physics 2011-09-07 J. F. Geurdes

Testing hypotheses is an issue of primary importance in the scientific research, as well as in many other human activities. Much clarification about it can be achieved if the process of learning from data is framed in a stochastic model of…

Data Analysis, Statistics and Probability · Physics 2007-05-23 G. D'Agostini

We pursue research leading towards the nature of causality in the universe. We establish the equation of the universe's evolution from the universe-state function and its series expansion, in which causes and effects connect together to…

General Physics · Physics 2007-05-23 Nguyen Tuan Anh

The problem of induction has persisted since Hume exposed the logical gap between repeated observation and universal inference. Traditional attempts to resolve it have oscillated between two extremes: the probabilistic optimism of Laplace…

Other Statistics · Statistics 2025-11-06 Tommaso Costa

In this article we reconstruct the Frauchiger and Renner argument, taking into account that the assertions of the argument are made at different times. To do this, we use a formalism of quantum histories, namely the Theory of Consistent…

Quantum Physics · Physics 2019-12-04 Marcelo Losada , Roberto Laura , Olimpia Lombardi

Logical bilateralism challenges traditional concepts of logic by treating assertion and denial as independent yet opposed acts. While initially devised to justify classical logic, its constructive variants show that both acts admit…

Logic in Computer Science · Computer Science 2026-05-05 Victor Barroso-Nascimento , Maria Osório , Elaine Pimentel

In this article we will propose a completely new point of view for solving one of the most important paradoxes concerning game theory. The solution develop shifts the focus from the result to the strategy s ability to operate in a cognitive…

General Finance · Quantitative Finance 2019-07-26 Andrea Berdondini

We formulate the Hauptvermutung of Causal Set Theory in two mathematically well-defined but different ways one of which turns out to be wrong and the other one turns out to be true. A further result is that the Hauptvermutung is true if we…

Differential Geometry · Mathematics 2025-12-30 Olaf Müller

Quantum theory is formulated as the only consistent way to manipulate probability amplitudes. The crucial ingredient is a consistency constraint: if there are two different ways to compute an amplitude the two answers must agree. This…

Quantum Physics · Physics 2016-09-08 Ariel Caticha

Motivated reasoning posits that people distort how they process information in the direction of beliefs they find attractive. This paper creates a novel experimental design to identify motivated reasoning from Bayesian updating when people…

General Economics · Economics 2022-05-26 Michael Thaler

Life is a discrete, stochastic phenomena : for a biological organism, the time of the two most important events of its life (reproduction and death) is random and these events change the number of individuals of the species by single units.…

Biological Physics · Physics 2013-06-20 Bahram Houchmandzadeh

Quantum theory is a tremendously successful physical theory, but nevertheless suffers from two serious problems: the measurement problem and the problem of interpretational underdetermination. The latter, however, is largely overlooked as a…

Quantum Physics · Physics 2015-05-18 Holger Lyre

It is often claimed that the fundamental laws of physics are deterministic and time-symmetric and that therefore our experience of the passage of time is an illusion. This paper will critically discuss these claims and show that they are…

Quantum Physics · Physics 2023-04-20 Barbara Drossel

Although living organisms are affected by many interrelated and unidentified variables, this complexity does not automatically impose a fundamental limitation on statistical inference. Nor need one invoke such complexity as an explanation…

Data Analysis, Statistics and Probability · Physics 2013-02-06 Drew M. Thomas

We prove that a random choice rule satisfies Luce's Choice Axiom if and only if its support is a choice correspondence that satisfies the Weak Axiom of Revealed Preference, thus it consists of alternatives that are optimal according to some…

Theoretical Economics · Economics 2021-05-11 Simone Cerreia-Vioglio , Per Olov Lindberg , Fabio Maccheroni , Massimo Marinacci , Aldo Rustichini

I briefly describe two motivations, two mechanisms and two possible tests of the hypothesis that the physical parameters of the ground state of a theory can vary in different regions of the universe.

High Energy Physics - Theory · Physics 2009-10-31 John F. Donoghue

Beginning with a simple semantics for propositions, based on counting observations, it is shown that probabilistic and fuzzy logic correspond to two different heuristic assumptions regarding the combination of propositions whose evidence…

Artificial Intelligence · Computer Science 2020-09-29 Ben Goertzel

Quantum theory has been proved as an outstanding mystery in modern science. The predictions of science have turned out to be probabilistic. The principle of determinism has failed. For systems like weather, earthquakes, rolling dices etc...…

Popular Physics · Physics 2007-05-23 Bhag C. Chauhan

I proposed (8, 1, 3) that p values should be supplemented by an estimate of the false positive risk (FPR). FPR was defined as the probability that, if you claim that there is a real effect on the basis of p value from a single unbiased…

Other Statistics · Statistics 2020-08-10 David Colquhoun