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According to quantum theory, randomness is a fundamental property of the universe yet classical physics is mostly deterministic. In this article I show that it is possible for deterministic systems to arise from random ones and discuss the…

Quantum Physics · Physics 2017-03-07 Ian T. Durham

Deterministic chaos, and even maximum computational complexity, have been discovered within Newtonian dynamics. Economists assume that prices and price changes can also obey abstract mathematical laws of motion. Sociologists and other…

Classical Physics · Physics 2007-05-23 J. L. McCauley

This article explores the following methodological principle for theory construction in physics: if an ontological theory predicts two scenarios that are ontologically distinct but empirically indiscernible, then this theory should be…

History and Philosophy of Physics · Physics 2019-09-11 Robert W. Spekkens

In the eyes of a rationalist like Descartes or Spinoza, human reasoning is flawless, marching toward uncovering ultimate truth. A few centuries later, however, culminating in the work of Kahneman and Tversky, human reasoning was portrayed…

Neurons and Cognition · Quantitative Biology 2018-10-17 Ardavan S. Nobandegani , William Campoli , Thomas R. Shultz

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

In light of G\"{o}del's undecidability results (incomplete theorems) for math, quantum indeterminism indicates that physics and the Universe may be indeterministic, incomplete, and open in nature, and therefore demand no single unification…

General Physics · Physics 2020-03-11 Wanpeng Tan

Existing physical theories do not predict every feature of our experience but only certain regularities of that experience. That difference between what could be observed and what can be predicted is one kind of limit on scientific…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James B. Hartle

Along with weaving together observations, experiments, and theoretical constructs into a coherent mesh of understanding of the world around us, physics over its past five centuries has continuously refined the base concepts on which the…

History and Philosophy of Physics · Physics 2017-04-05 A. R. P. Rau

It is often stated that there are no laws in biology, where everything is contingent and could have been otherwise, being solely the result of historical accidents. Furthermore, the customary introduction of fundamental biological entities…

Other Quantitative Biology · Quantitative Biology 2014-04-16 Jean-Louis Sikorav , Alan Braslau , Arach Goldar

Fuzziness and randomicity widespread exist in natural science, engineering, technology and social science. The purpose of this paper is to present a new logic - uncertain propositional logic which can deal with both fuzziness by taking…

Logic · Mathematics 2015-06-11 Maokang Luo , Wei He

Traditional cognitive science rests on a foundation of classical logic and probability theory. This foundation has been seriously challenged by several findings in experimental psychology on human decision making. Meanwhile, the formalism…

Artificial Intelligence · Computer Science 2015-12-31 Diederik Aerts , Sandro Sozzo , Tomas Veloz

The crisis in the reproducibility of experiments invites a re-evaluation of methods of inquiry and validation procedures. The text challenges current assumptions of knowledge acquisition and introduces G-complexity for defining decidable…

Other Quantitative Biology · Quantitative Biology 2016-12-09 Mihai Nadin

However, the observations encompassed by classical physics excludes the observer from the physical reality, yet the deep-down understandung of nature --{\it the quantum theory}-- can not avoid the intrusion of observer into the measurement…

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

Causality has been often confused with the notion of determinism. It is mandatory to separate the two notions in view of the debate about quantum foundations. Quantum theory provides an example of causal not-deterministic theory. Here we…

Quantum Physics · Physics 2015-01-15 Giacomo M. D'Ariano , Franco Manessi , Paolo Perinotti

The claim of the freedom of the will (understood as an individual who is transcendent to Nature) in the name of XXth century scientific knowledge, against the perspective of XVIIIth-XIXth century scientific materialism, is analysed and…

History and Philosophy of Physics · Physics 2018-01-11 Martin Lopez-Corredoira

We still lack any consensus about what one is actually talking about as one uses quantum mechanics. There is a gap between the abstract terms in which the theory is couched and the phenomena the theory enables each of us to account for so…

Quantum Physics · Physics 2020-04-17 N. David Mermin

Each cognitive science tries to understand a set of cognitive behaviors. The structuring of knowledge of this nature's aspect is far from what it can be expected about a science. Until now universal standard consistently describing the set…

Artificial Intelligence · Computer Science 2008-10-19 Sergio Miguel

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

For more than half a century, dualities have been at the heart of modern physics. From quantum mechanics to statistical mechanics, condensed matter physics, quantum field theory and quantum gravity, dualities have proven useful in solving…

History and Philosophy of Physics · Physics 2026-05-11 Sebastian De Haro , Enrico Cinti

Nonlinear dynamics (``chaos theory'') and quantum mechanics are two of the scientific triumphs of the 20th century. The former lies at the heart of the modern interdisciplinary approach to science, whereas the latter has revolutionized…

Chaotic Dynamics · Physics 2007-05-23 Mason A. Porter