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Goedel's explicit thesis was that his undecidable formula GUS is a well-formed, well-defined formal sentence in any formalisation of Intuitive Arithmetic IA in which the axioms and rules of inference are recursively definable. His implicit…

综合数学 · 数学 2007-05-23 Bhupinder Singh Anand

This essay discusses the idea that a Theory of Everything would not be complete without a theory of consciousness as one of its parts, and the suggestion that new physics may be needed to describe consciousness. I argue that the motivations…

综合物理 · 物理学 2007-05-23 Joe Henson

Formal, automated theorem proving has long been viewed as a challenge to artificial intelligence. We introduce here a new approach to computer theorem proving, one that employs specialized language models for Lean4 proof generation combined…

人工智能 · 计算机科学 2025-12-17 Kelly J. Davis

General relativity treats spacetime as dynamical and exhibits its breakdown at singularities. This failure is interpreted as evidence that quantum gravity is not a theory formulated within spacetime; instead, it must explain the very…

广义相对论与量子宇宙学 · 物理学 2025-08-01 Mir Faizal , Lawrence M. Krauss , Arshid Shabir , Francesco Marino

Two different definitions of the Artificial Intelligence concept have been proposed in papers [1] and [2]. The first definition is informal. It says that any program that is cleverer than a human being, is acknowledged as Artificial…

人工智能 · 计算机科学 2013-08-26 Dimiter Dobrev

Recent advances in LLMs have reignited scientific debate over whether embodiment is necessary for intelligence. We present the argument that intelligence requires grounding, a phenomenon entailed by embodiment, but not embodiment itself. We…

人工智能 · 计算机科学 2026-01-27 Marcus Ma , Shrikanth Narayanan

Different from the view that information is objective reality, this paper adopts the idea that all information needs to be compiled by the interpreter before it can be observed. From the traditional complexity definition, this paper defines…

计算机科学中的逻辑 · 计算机科学 2025-02-18 Zhifeng Ma , Tianyi Wu , Zhangang Han

The Anthropic Principle has been with us since the 1970s. This Principle is advanced to account for the "fine tuning" of the 25 constants of the Standard Model of Particle Physics. Were these constants very different, life could not exist.…

物理学史与哲学 · 物理学 2022-05-26 Stuart Kauffman

Researchers are increasingly subjecting artificial intelligence systems to psychological testing. But to rigorously compare their cognitive capacities with humans and other animals, we must avoid both over- and under-stating our…

人工智能 · 计算机科学 2025-03-05 Konstantinos Voudouris , Lucy G. Cheke , Eric Schulz

Can artificial intelligence discover, from raw experience and without human supervision, concepts that humans have discovered? One challenge is that human concepts themselves are fluid: conceptual boundaries can shift, split, and merge as…

人工智能 · 计算机科学 2025-12-24 Zhengmian Hu

Though the truths of logic and pure mathematics are objective and independent of any contingent facts or laws of nature, our knowledge of these truths depends entirely on our knowledge of the laws of physics. Recent progress in the quantum…

历史与综述 · 数学 2007-05-23 David Deutsch , Artur Ekert , Rossella Lupacchini

If we take the subjective character of consciousness seriously, consciousness becomes a matter of "being" rather than "doing". Because "doing" can be dissociated from "being", functional criteria alone are insufficient to decide whether a…

神经元与认知 · 定量生物学 2021-02-10 Larissa Albantakis , Giulio Tononi

The inner alignment problem, which asserts whether an arbitrary artificial intelligence (AI) model satisfices a non-trivial alignment function of its outputs given its inputs, is undecidable. This is rigorously proved by Rice's theorem,…

Agents' judgment depends on perception and previous knowledge. Assuming that previous knowledge depends on perception, we can say that judgment depends on perception. So, if judgment depends on perception, can agents judge that they have…

神经元与认知 · 定量生物学 2012-02-21 Ahmed M. Mahran

The ``Gibbs Paradox'' refers to several related questions concerning entropy in thermodynamics and statistical mechanics: whether it is an extensive quantity or not, how it changes when identical particles are mixed, and the proper way to…

统计力学 · 物理学 2009-11-07 Chih-Yuan Tseng , Ariel Caticha

When encountering novel objects, humans are able to infer a wide range of physical properties such as mass, friction and deformability by interacting with them in a goal driven way. This process of active interaction is in the same spirit…

机器学习 · 统计学 2017-08-21 Misha Denil , Pulkit Agrawal , Tejas D Kulkarni , Tom Erez , Peter Battaglia , Nando de Freitas

Our understanding of intelligence is directed primarily at the human level. This paper attempts to give a more unifying definition that can be applied to the natural world in general and then Artificial Intelligence. The definition would be…

人工智能 · 计算机科学 2026-05-27 Kieran Greer

Machine learning is poised as a very powerful tool that can drastically improve our ability to carry out scientific research. However, many issues need to be addressed before this becomes a reality. This article focuses on one particular…

计算物理 · 物理学 2020-06-05 Weinan E , Jiequn Han , Linfeng Zhang

The mysterious phenomenon of consciousness, after having been the subject of philosophic attention for few millennia, has drawn much scientific curiosity in recent decades; and many brilliant minds of various areas of sciences are trying to…

神经元与认知 · 定量生物学 2022-03-01 Jahan N. Schad

I wish to discuss a large, interwoven set of topics pointed at in the title above. Much of what I say is highly speculative, some is testable, some is, at present, surely not. It is, I hope, useful, to set these ideas forth for our…

物理学史与哲学 · 物理学 2014-10-22 Stuart Kauffman
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