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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…

Computers and Society · Computer Science 2021-01-12 Manuel Alfonseca , Manuel Cebrian , Antonio Fernandez Anta , Lorenzo Coviello , Andres Abeliuk , Iyad Rahwan

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…

Artificial Intelligence · Computer Science 2015-04-29 Murat Okandan

Optimization problems are a staple of today's scientific and technical landscape. However, at present, solvers of such problems are almost exclusively run on digital hardware. Using Turing machines as a mathematical model for any type of…

Optimization and Control · Mathematics 2023-01-18 Yunseok Lee , Holger Boche , Gitta Kutyniok

We clarify the confusion, misunderstanding and misconception that the physical finiteness of the universe, if the universe is indeed finite, would rule out all hypercomputation, the kind of computation that exceeds the Turing computability,…

Quantum Physics · Physics 2007-05-23 Tien D. Kieu

There are inherent limits in classical computation for it to serve as an adequate model of human cognition. In particular, non-commutativity, while ubiquitous in physics and psychology, cannot be sufficiently handled. We propose that we…

Neurons and Cognition · Quantitative Biology 2019-11-14 Hongbin Wang , Jack W. Smith , Yanlong Sun

The paper puts into discussion the concept of universality, in particular for structures not of the power of Turing computability. The question arises if for such structures a universal structure of the same kind exists or not. For that the…

Computational Complexity · Computer Science 2009-06-23 Manfred Kudlek

The brain-as-computer metaphor has anchored the professed computational nature of the mind, wresting it down from the intangible logic of Platonic philosophy to a material basis for empirical science. However, as with many long-lasting…

With the great success in simulating many intelligent behaviors using computing devices, there has been an ongoing debate whether all conscious activities are computational processes. In this paper, the answer to this question is shown to…

Quantum Physics · Physics 2011-11-09 Daegene Song

The brain is a powerful tool used to achieve amazing feats. There have been several significant advances in neuroscience and artificial brain research in the past two decades. This article is a review of such advances, ranging from the…

Artificial Intelligence · Computer Science 2016-05-16 Gabriel Makdah

Hypercomputation is a relatively new branch of computer science that emerged from the idea that the Church--Turing Thesis, which is supposed to describe what is computable and what is noncomputable, cannot possible be true. Because of its…

Other Computer Science · Computer Science 2009-10-12 Apostolos Syropoulos

Although the definition and measurement of intelligence is clearly of fundamental importance to the field of artificial intelligence, no general survey of definitions and tests of machine intelligence exists. Indeed few researchers are even…

Artificial Intelligence · Computer Science 2008-06-26 Shane Legg , Marcus Hutter

It is generally accepted that machines can replicate cognitive tasks performed by conscious agents as long as they are not based on the capacity of awareness. We consider several views on the nature of subjective awareness, which is…

Other Computer Science · Computer Science 2021-08-17 Subhash Kak

One of the major objectives of Artificial Intelligence is to design learning algorithms that are executed on a general purposes computational machines such as human brain. Neural Turing Machine (NTM) is a step towards realizing such a…

Neural and Evolutionary Computing · Computer Science 2020-11-17 Soroor Malekmohammadi Faradonbeh , Faramarz Safi-Esfahani

It has recently been claimed that certain aspects of mental processing cannot be simulated by computers, even in principle. The argument is examined and a lacuna is identified.

Quantum Physics · Physics 2007-05-23 Henry P. Stapp

We discuss the adequacy of tests for intelligent systems and practical problems raised by their implementation. We propose the replacement test as the ability of a system to replace successfully another system performing a task in a given…

Artificial Intelligence · Computer Science 2023-08-15 Joseph Sifakis

Infinite time Turing machines extend the operation of ordinary Turing machines into transfinite ordinal time. By doing so, they provide a natural model of infinitary computability, a theoretical setting for the analysis of the power and…

Logic · Mathematics 2007-05-23 Joel David Hamkins

As far as algorithmic thinking is bound by symbolic paper-and-pencil operations, the Church-Turing thesis appears to hold. But is physics, and even more so, is the human mind, bound by symbolic paper-and-pencil operations? What about the…

General Physics · Physics 2007-05-23 Karl Svozil

This essay considers ways that recent uses of computers in mathematics challenge contemporary views on the nature of mathematical understanding. It also puts these challenges in a historical perspective and offers speculation as to a…

History and Overview · Mathematics 2023-11-01 Jeremy Avigad

Despite differing from the human language processing mechanism in implementation and algorithms, current language models demonstrate remarkable human-like or surpassing language capabilities. Should computational language models be employed…

Computation and Language · Computer Science 2024-03-21 Shaonan Wang , Jingyuan Sun , Yunhao Zhang , Nan Lin , Marie-Francine Moens , Chengqing Zong

Recent works have independently suggested that Quantum Mechanics might permit for procedures that transcend the power of Turing Machines as well as of `standard' Quantum Computers. These approaches rely on and indicate that Quantum…

Quantum Physics · Physics 2010-05-10 Martin Ziegler