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The science of complexity is based on a new way of thinking that stands in sharp contrast to the philosophy underlying Newtonian science, which is based on reductionism, determinism, and objective knowledge. This paper reviews the…

Computational Complexity · Computer Science 2008-07-29 Francis Heylighen , Paul Cilliers , Carlos Gershenson

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

Incompleteness theorems of Godel, Turing, Chaitin, and Algorithmic Information Theory have profound epistemological implications. Incompleteness limits our ability to ever understand every observable phenomenon in the universe.…

General Literature · Computer Science 2016-02-26 Gary R. Prok

The no-supervenience theorem limits the capacity of physicalist theories to provide a comprehensive account of human consciousness. The proof of the theorem is difficult to formalize because it relies on both alethic and epistemic notions…

Neurons and Cognition · Quantitative Biology 2024-11-13 Cathy M Reason

With recent advances in natural language processing, rationalization becomes an essential self-explaining diagram to disentangle the black box by selecting a subset of input texts to account for the major variation in prediction. Yet,…

Machine Learning · Computer Science 2023-09-12 Wenbo Zhang , Tong Wu , Yunlong Wang , Yong Cai , Hengrui Cai

Reproducibility is a confused terminology. In this paper, I take a fundamental view on reproducibility rooted in the scientific method. The scientific method is analysed and characterised in order to develop the terminology required to…

Machine Learning · Computer Science 2022-01-19 Odd Erik Gundersen

This article solves the Hume's problem of induction using a probabilistic approach. From the probabilistic perspective, the core task of induction is to estimate the probability of an event and judge the accuracy of the estimation.…

History and Overview · Mathematics 2024-10-03 Xuezhi Yang

Free will is fundamental to morality, intuition of self, and normal functioning of the society. However, science does not provide a clear logical foundation for this idea. This paper considers the fundamental scientific argument against…

Neurons and Cognition · Quantitative Biology 2010-12-20 Leonid Perlovsky

Mortality is an instrument of natural selection. Evolutionary motivated theories imply its irreversibility and life history dependence. This is inconsistent with mortality data for protected populations. Accurate analysis yields mortality…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Mark Ya. Azbel'

A general information-theoretic framework for deriving physical laws is presented and a principle of informational physics is enunciated within its context. Existing approaches intended to derive physical laws from information-theoretic…

Data Analysis, Statistics and Probability · Physics 2009-02-23 Nisheeth Srivastava

Irreversibility of spontaneous macroscopic dynamics and its asymmetry with respect to the sign reversal of the variable $t$ is usually interpreted as a genuine property of complex isolated systems. Discussion of the kinetics involved in…

chao-dyn · Physics 2008-02-03 X. de Hemptinne

It is considered the study of determinism in the theories of physics. Based on fundamental postulates of physics, it is proved that the evolution of the universe is univocally determined, proving ultimately that free will does not exist. In…

General Physics · Physics 2014-07-08 Edgar Jose Candales Dugarte

This essay addresses the implications of integrated information theory (IIT) for free will. IIT is a theory of what consciousness is and what it takes to have it. According to IIT, the presence of consciousness is accounted for by a maximum…

Neurons and Cognition · Quantitative Biology 2023-04-04 Giulio Tononi , Larissa Albantakis , Melanie Boly , Chiara Cirelli , Christof Koch

Probability theory as extended logic is completed such that essentially any probability may be determined. This is done by considering propositional logic (as opposed to predicate logic) as syntactically suffcient and imposing a symmetry…

Statistics Theory · Mathematics 2014-08-12 Cael L. Hasse

In our previous arXiv papers ("The Information and the Matter", v1, v5; more systematically the informational conception is presented in the paper "The Information as Absolute", 2010) it was rigorously shown that Matter in our Universe -…

General Physics · Physics 2021-09-08 Sergey V. Shevchenko , Vladimir V. Tokarevsky

This article presents a formal model demonstrating that genuine autonomy, the ability of a system to self-regulate and pursue objectives, fundamentally implies computational unpredictability from an external perspective. we establish…

Artificial Intelligence · Computer Science 2025-09-17 Poria Azadi

Making decisions freely presupposes that there is some indeterminacy in the environment and in the decision making engine. The former is reflected on the behavioral changes due to communicating: few changes indicate rigid environments;…

Artificial Intelligence · Computer Science 2020-09-23 Luis A. Pineda

A celebrated and controversial hypothesis conjectures that some biological systems --parts, aspects, or groups of them-- may extract important functional benefits from operating at the edge of instability, halfway between order and…

Statistical Mechanics · Physics 2018-08-01 Miguel A. Munoz

According to the Causal Principle, anything that begins to exist has a cause. In turn, various authors -- including Thomas Hobbes, Jonathan Edwards, and Arthur Prior -- have defended the thesis that, had the Causal Principle been false,…

History and Philosophy of Physics · Physics 2025-08-13 Daniel Linford

We describe the universe as a single entangled ensemble of quantum particles. The total entropy of this world ensemble, which can be expressed as a sum of information, thermodynamic and entanglement components, is assumed to be always zero.…

General Physics · Physics 2018-05-15 Merab Gogberashvili