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Recent progress in artificial intelligence provides the opportunity to ask the question of what is unique about human intelligence, but with a new comparison class. I argue that we can understand human intelligence, and the ways in which it…

Artificial Intelligence · Computer Science 2020-09-30 Thomas L. Griffiths

It has been proposed that human physical reasoning consists largely of running "physics engines in the head" in which the future trajectory of the physical system under consideration is computed precisely using accurate scientific theories.…

Artificial Intelligence · Computer Science 2015-06-17 Ernest Davis , Gary Marcus

At a first glance the Theory of computation relies on potential infinity and an organization aimed at solving a problem. Under such aspect it is like Mendeleev theory of chemistry. Also its theoretical development reiterates that of this…

Logic · Mathematics 2021-01-15 Antonino Drago

One of the fundamental results in computability is the existence of well-defined functions that cannot be computed. In this paper we study the effects of data representation on computability; we show that, while for each possible way of…

Computational Complexity · Computer Science 2017-06-30 Jaun Casanova , Simone Santini

This paper aims to question the suitability of the Turing Test, for testing machine intelligence, in the light of advances made in the last 60 years in science, medicine, and philosophy of mind. While the main concept of the test may seem…

Artificial Intelligence · Computer Science 2019-06-27 Aladdin Ayesh

Artificial computing machinery transforms representations through an objective process, to be interpreted subjectively by humans, so the machine and the interpreter are different entities, but in the putative natural computing both…

Artificial Intelligence · Computer Science 2025-06-17 Luis A. Pineda

A fundamental problem in artificial intelligence is that nobody really knows what intelligence is. The problem is especially acute when we need to consider artificial systems which are significantly different to humans. In this paper we…

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

What does it mean to claim that a physical or natural system computes? One answer, endorsed here, is that computing is about programming a system to behave in different ways. This paper offers an account of what it means for a physical…

Information Theory · Computer Science 2013-06-18 Hector Zenil

Intuitive psychology is a pillar of common-sense reasoning. The replication of this reasoning in machine intelligence is an important stepping-stone on the way to human-like artificial intelligence. Several recent tasks and benchmarks for…

Artificial Intelligence · Computer Science 2023-03-15 Tomer Ullman

This paper provides a new and more direct proof of the assertion that a Turing computable function of the natural numbers is primitive recursive if and only if the time complexity of the corresponding Turing machine is bounded by a…

Formal Languages and Automata Theory · Computer Science 2025-10-22 Daniel G. Schwartz

It has been commonly argued, on the basis of Goedel's theorem and related mathematical results, that true artificial intelligence cannot exist. Penrose has further deduced from the existence of human intelligence that fundamental changes in…

Biological Physics · Physics 2007-05-23 John C. Collins

It is common practice to compare the computational power of different models of computation. For example, the recursive functions are strictly more powerful than the primitive recursive functions, because the latter are a proper subset of…

Logic in Computer Science · Computer Science 2020-06-11 Udi Boker , Nachum Dershowitz

For over a decade, the hypercomputation movement has produced computational models that in theory solve the algorithmically unsolvable, but they are not physically realizable according to currently accepted physical theories. While…

Logic · Mathematics 2014-08-12 Aran Nayebi

The pseudoinverse of a matrix, a generalized notion of the inverse, is of fundamental importance in linear algebra and, thereby, in many different fields. Despite its proven existence, an algorithmic approach is typically necessary to…

Numerical Analysis · Mathematics 2026-01-21 Holger Boche , Adalbert Fono , Gitta Kutyniok

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

This paper proposes to revisit the Turing test through the concept of normality. Its core argument is that the Turing test is a test of normal intelligence as assessed by a normal judge. First, in the sense that the Turing test targets…

Computation and Language · Computer Science 2025-11-11 Alexandre Kabbach

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

This paper proposes a specific conceptualization of intelligence as computation. This conceptualization is intended to provide a unified view for all disciplines of intelligence research. Already, it unifies several conceptualizations…

Artificial Intelligence · Computer Science 2024-05-28 Oliver Brock

We discuss the possibility of constructing a function that validates the definition or not definition of the partial recursive functions of one variable. This is a topic in computability theory, which was first approached by Alan M. Turing…

Logic in Computer Science · Computer Science 2024-04-16 Abel Luis Peralta

This paper discusses "computational" systems capable of "computing" functions not computable by predefined Turing machines if the systems are not isolated from their environment. Roughly speaking, these systems can change their finite…

Artificial Intelligence · Computer Science 2009-08-03 Kurt Ammon