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We develop a notion of computability and complexity of functions over the reals, which seems to be very natural when one tries to determine just how "difficult" a certain function is. This notion can be viewed as an extension of both BSS…

计算复杂性 · 计算机科学 2007-05-23 Mark Braverman

Unexpectedness is a central concept in Simplicity Theory, a theory of cognition relating various inferential processes to the computation of Kolmogorov complexities, rather than probabilities. Its predictive power has been confirmed by…

人工智能 · 计算机科学 2023-11-16 Giovanni Sileno , Jean-Louis Dessalles

In the first of this pair of papers, it was proven that that no physical computer can correctly carry out all computational tasks that can be posed to it. The generality of this result follows from its use of a novel definition of…

计算物理 · 物理学 2009-10-02 David H. Wolpert

A series of recent papers raises worries about the manipulative potential of algorithmic transparency. But while the concern is apt and relevant, it is based on a fraught understanding of manipulation. Therefore, this paper draws attention…

人工智能 · 计算机科学 2023-11-23 Michael Klenk

This article briefly discusses the philosophical and technical aspects of AI. It focuses on two concepts of understanding: intuition and causality, and highlights three AI technologies: Transformers, chain-of-thought reasoning, and…

人工智能 · 计算机科学 2025-01-30 Yu Wang

In physics, there is the prevailing intuition that we are part of a unique external world, and that the goal of physics is to understand and describe this world. This assumption of the fundamentality of objective reality is often seen as a…

量子物理 · 物理学 2019-07-22 Markus P. Mueller

Computational complexity is a core theory of computer science, which dictates the degree of difficulty of computation. There are many problems with high complexity that we have to deal, which is especially true for AI. This raises a big…

计算复杂性 · 计算机科学 2023-01-10 Chuyu Xiong

Complex systems are characterized by specific time-dependent interactions among their many constituents. As a consequence they often manifest rich, non-trivial and unexpected behavior. Examples arise both in the physical and non-physical…

物理与社会 · 物理学 2018-11-21 Yurij Holovatch , Ralph Kenna , Stefan Thurner

Algorithmic randomness theory starts with a notion of an individual random object. To be reasonable, this notion should have some natural properties; in particular, an object should be random with respect to image distribution if and only…

逻辑 · 数学 2016-07-15 Laurent Bienvenu , Mathieu Hoyrup , Alexander Shen

We apply recent ideas about complexity and randomness to the philosophy of laws and chances. We develop two ways to use algorithmic randomness to characterize probabilistic laws of nature. The first, a generative chance* law, employs a…

物理学史与哲学 · 物理学 2025-09-03 Jeffrey A. Barrett , Eddy Keming Chen

Can machines truly think? This question and its answer have many implications that depend, in large part, on any number of assumptions underlying how the issue has been addressed or considered previously. A crucial question, and one that is…

人工智能 · 计算机科学 2015-04-29 Murat Okandan

This essay explores the limits of Turing machines concerning the modeling of minds and suggests alternatives to go beyond those limits.

人工智能 · 计算机科学 2011-10-14 Carlos Gershenson

This paper shows that universal quantum computers possess decoherent histories in which complex adaptive systems evolve with high probability.

量子物理 · 物理学 2007-05-23 Seth Lloyd

I am most honoured to have the privilege to present the Foreword to this fascinating and wonderfully varied collection of contributions, concerning the nature of computation and of its deep connection with the operation of those basic laws,…

综合文献 · 计算机科学 2012-05-29 Roger Penrose

Systems are growing into more complex ones for developing and maintaining. Existing systems which do not have much in common on the first look are connected, due to the technical progress, even if it was never intended that way. It is an…

软件工程 · 计算机科学 2018-09-17 Tobias Eckl

This document is written with the intention to describe in detail a method and means by which a computer program can reason about the world and in so doing, increase its analogue to a living system. As the literature is rife and it is…

人工智能 · 计算机科学 2017-05-23 Christopher A. Tucker

Algorithmic probability has shown some promise in dealing with the probability problem in the Everett interpretation, since it provides an objective, single-case probability measure. Many find the Everettian cosmology to be overly…

量子物理 · 物理学 2018-08-08 Allan F. Randall

Superintelligence is a hypothetical agent that possesses intelligence far surpassing that of the brightest and most gifted human minds. In light of recent advances in machine intelligence, a number of scientists, philosophers and…

计算机与社会 · 计算机科学 2021-01-12 Manuel Alfonseca , Manuel Cebrian , Antonio Fernandez Anta , Lorenzo Coviello , Andres Abeliuk , Iyad Rahwan

In this article, I discuss how the AI community views concerns about the emergence of superintelligent AI and related philosophical issues.

人工智能 · 计算机科学 2016-05-20 Vincent Conitzer

If a concept is not well defined, there are grounds for its abuse. This is particularly true of complexity, an inherently interdisciplinary concept that has penetrated very different fields of intellectual activity from physics to…

综合物理 · 物理学 2010-07-01 Tamás Vicsek