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Models of computation operating over the real numbers and computing a larger class of functions compared to the class of general recursive functions invariably introduce a non-finite element of infinite information encoded in an arbitrary…

Computational Complexity · Computer Science 2010-12-20 Hector Zenil

The notion of programming paradigms, with associated programming languages and methodologies, is a well established tenet of Computer Science pedagogy, enshrined in international curricula. However, this notion sits ill with Kuhn's classic…

Programming Languages · Computer Science 2020-02-17 Greg Michaelson

The aim of this paper is to address the question: Can an artificial neural network (ANN) model be used as a possible characterization of the power of the human mind? We will discuss what might be the relationship between such a model and…

Neural and Evolutionary Computing · Computer Science 2016-11-23 Hector Zenil , Francisco Hernandez-Quiroz

There is no denying the tremendous leap in the performance of machine learning methods in the past half-decade. Some might even say that specific sub-fields in pattern recognition, such as machine-vision, are as good as solved, reaching…

Machine Learning · Computer Science 2018-02-15 Amir Rosenfeld , John K. Tsotsos

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

Since the noun phrase `artificial intelligence' (AI) was coined, it has been debated whether humans are able to create intelligence using technology. We shed new light on this question from the point of view of themodynamics and…

Artificial Intelligence · Computer Science 2021-11-16 Jobst Landgrebe , Barry Smith

This explanation of what a brain is and does rests on informational first principles, because information theory, like its parent theory thermodynamics, is mathematically sacrosanct, itself resting on real-valued probability.Just as…

Neurons and Cognition · Quantitative Biology 2014-10-01 William Softky

In this article we review Tononi's (2008) theory of consciousness as integrated information. We argue that previous formalizations of integrated information (e.g. Griffith, 2014) depend on information loss. Since lossy integration would…

Information Theory · Computer Science 2014-05-02 Phil Maguire , Philippe Moser , Rebecca Maguire , Virgil Griffith

A suite of impressive scientific discoveries have been driven by recent advances in artificial intelligence. These almost all result from training flexible algorithms to solve difficult optimization problems specified in advance by teams of…

Artificial Intelligence · Computer Science 2024-12-18 Ruairidh M. Battleday , Samuel J. Gershman

With the rise of artificial intelligence (A.I.) and large language models like ChatGPT, a new race for achieving artificial general intelligence (A.G.I) has started. While many speculate how and when A.I. will achieve A.G.I., there is no…

Artificial Intelligence · Computer Science 2025-12-05 Georgios Mappouras

The capacity of finite state channels (FSCs) has been established as the limit of a sequence of multi-letter expressions only and, despite tremendous effort, a corresponding finite-letter characterization remains unknown to date. This paper…

Information Theory · Computer Science 2020-09-29 Holger Boche , Rafael F. Schaefer , H. Vincent Poor

A universal Turing machine is a powerful concept - a single device can compute any function that is computable. A universal spin model, similarly, is a class of physical systems whose low energy behavior simulates that of any spin system.…

Computational Complexity · Computer Science 2024-06-25 Tomáš Gonda , Gemma De les Coves

We examine the conceptual and ethical gaps in current representations of Superintelligence misalignment. We find throughout Superintelligence discourse an absent human subject, and an under-developed theorization of an "AI unconscious" that…

Neurons and Cognition · Quantitative Biology 2026-02-26 Muhammad Osama Imran , Roshni Lulla , Rodney Sappington

We define a notion of the intelligence level of an idealized mechanical knowing agent. This is motivated by efforts within artificial intelligence research to define real-number intelligence levels of complicated intelligent systems. Our…

Artificial Intelligence · Computer Science 2019-12-23 Samuel Allen Alexander

In this paper, a new concept, i.e. ultra-chaos, is proposed for the first time. Unlike a normal-chaos, statistical properties such as the probability density functions (PDF) of an ultra-chaos are sensitive to tiny disturbances. We…

General Physics · Physics 2022-03-22 Shijun Liao , Shijie Qin

This paper proposes and argues for a counterintuitive thesis: the truly valuable capabilities of large language models (LLMs) reside precisely in the part that cannot be fully captured by human-readable discrete rules. The core argument is…

Artificial Intelligence · Computer Science 2026-03-18 Quan Cheng

Machine common sense remains a broad, potentially unbounded problem in artificial intelligence (AI). There is a wide range of strategies that can be employed to make progress on this challenge. This article deals with the aspects of…

Artificial Intelligence · Computer Science 2020-06-16 Alexander Gavrilenko , Katerina Morozova

In this first of two papers, strong limits on the accuracy of physical computation are established. First it is proven that there cannot be a physical computer C to which one can pose any and all computational tasks concerning the physical…

Computational Physics · Physics 2016-09-08 David H. Wolpert

An agent that efficiently accumulates knowledge to develop increasingly sophisticated skills over a long lifetime could advance the frontier of artificial intelligence capabilities. The design of such agents, which remains a long-standing…

Machine Learning · Computer Science 2025-06-27 Saurabh Kumar , Henrik Marklund , Ashish Rao , Yifan Zhu , Hong Jun Jeon , Yueyang Liu , Benjamin Van Roy

Turing Machines are universal computing machines in theory. It has been a long debate whether Turing Machines can simulate the consciousness mind behaviors in the materialistic universe. Three different hypotheses come out of such debate,…

Neurons and Cognition · Quantitative Biology 2018-01-01 Hongbo Jia
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