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This article examines the subtle relationship between chaos and randomness, two concepts that, although they refer to seemingly unpredictable phenomenon, are based on fundamentally different principles. Chaos manifests in deterministic…

Dynamical Systems · Mathematics 2025-07-14 Mohamed El Ouafi , Hajar Ahalli , Abderrahim Aslimani , Kaoutar Lamrini Uahabi

The notion of primitive chaos was proposed [J. Phys. Soc. Jpn. {\bf 79}, 15002 (2010)] as a notion closely related to the fundamental problems of physics itself such as determinism, causality, free will, predictability, and irreversibility.…

Chaotic Dynamics · Physics 2021-05-19 Yoshihito Ogasawara

Recently, a new concept, primitive chaos, was proposed, as a concept closely related to the fundamental problems of physics itself such as determinism, causality, free will, predictability, and irreversibility [J. Phys. Soc. Jpn. {\bf 79},…

Chaotic Dynamics · Physics 2015-03-26 Yoshihito Ogasawara

A new concept, primitive chaos, was proposed, as a concept closely related to the fundamental problems of sciences themselves such as determinism, causality, free will, predictability, and time asymmetry [{\em J. Phys. Soc. Jpn.} {\bf…

General Topology · Mathematics 2014-10-30 Yoshihito Ogasawara

There is no mysterious link between mathematics and physics, because both of them are human inventions designed to study the world.

History and Philosophy of Physics · Physics 2015-07-16 Luigi Foschini

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

Dynamical chaos is a term that encompasses a wide range of nonlinear phenomena such as turbulence, neuronal avalanches, weather patterns, and many others. However, despite much work in the field of chaos, its fundamental physical origin…

Chaotic Dynamics · Physics 2026-05-05 Igor V. Ovchinnikov , Massimiliano Di Ventra

Theoretical physics is the search for simple and universal mathematical descriptions of the natural world. In contrast, much of modern biology is an exploration of the complexity and diversity of life. For many, this contrast is prima facie…

Biological Physics · Physics 2024-01-23 William Bialek

Life is fundamentally a scientific enigma. The interplay between chaos, entropy dynamics, and Prigogine's dissipative systems offers profound insights into the emergence, stabilization, and eventual collapse of far-from-equilibrium systems.…

Subcellular Processes · Quantitative Biology 2025-02-20 Salvatore Chirumbolo , Antonio Vella

Chaos is an active research subject in the fields of science in recent years. it is a complex and an erratic behavior that is possible in very simple systems. in the present day, the chaotic behavior can be observed in experiments. Many…

General Physics · Physics 2009-07-17 Mrs. T. Theivasanthi

A perplexing problem in understanding physical reality is why the universe seems comprehensible, and correspondingly why there should exist physical systems capable of comprehending it. In this essay I explore the possibility that rather…

History and Philosophy of Physics · Physics 2015-11-10 Sara Imari Walker

The relationship between chaos and quantum mechanics has been somewhat uneasy -- even stormy, in the minds of some people. However, much of the confusion may stem from inappropriate comparisons using formal analyses. In contrast, our…

This paper is concerned with complex macroscopic behaviour arising in many-body systems through the combinations of competitive interactions and disorder, even with simple ingredients at the microscopic level. It attempts to indicate and…

Disordered Systems and Neural Networks · Physics 2015-05-13 David Sherrington

It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. The existing definitions of chaos are formulated in sets of motions. This is…

Dynamical Systems · Mathematics 2016-06-22 Marat Akhmet , Mehmet Onur Fen

What is chaos? Despite several decades of research on this ubiquitous and fundamental phenomenon there is yet no agreed-upon answer to this question. Recently, it was realized that all stochastic and deterministic differential equations,…

Chaotic Dynamics · Physics 2019-09-10 Igor V. Ovchinnikov , Massimiliano Di Ventra

Many physical theories like chaos theory are fundamentally concerned with the conceptual tension between determinism and randomness. Kolmogorov complexity can express randomness in determinism and gives an approach to formulate chaotic…

Chaotic Dynamics · Physics 2007-05-23 Paul Vitanyi

The recognition of the agency of the knower has enormously enriched our understanding of knowledge production. There is a growing realization that what we know about how we know affects our interpretation of reality. This realization…

History and Philosophy of Physics · Physics 2011-04-22 Gennady Shkliarevsky

The origins of life stands among the great open scientific questions of our time. While a number of proposals exist for possible starting points in the pathway from non-living to living matter, these have so far not achieved states of…

Populations and Evolution · Quantitative Biology 2017-05-24 Sara I. Walker

The paper defends the thesis that analysis of time meaning in a context of philosophy of physical and mathematical natural sciences and philosophical anthropology allows to clear basis of human being and to construct special model of…

History and Philosophy of Physics · Physics 2015-02-04 Sergey Kulikov

The problem of Turing pattern formation has attracted much attention in nonlinear science as well as physics, chemistry and biology. So far all Turing patterns have been observed in stationary and oscillatory media only. In this letter we…

Pattern Formation and Solitons · Physics 2007-05-23 Jinghua Xiao , Junzhong Yang , Gang Hu
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