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Related papers: The Free Will Function

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We introduce and study a learning theory which is roughly automatic, that is, it does not require but a minimum of initial programming, and is based on the potential computational phenomenon of self-reference, (i.e. the potential ability of…

Logic in Computer Science · Computer Science 2023-04-25 A. D. Arvanitakis

The notion of microscopic state of the system at a given moment of time as a point in the phase space as well as a notion of trajectory is widely used in classical mechanics. However, it does not have an immediate physical meaning, since…

Mathematical Physics · Physics 2013-04-24 A. S. Trushechkin , I. V. Volovich

We study a well-known technique of using absoluteness for giving choice-free proofs to some statements which are known to be provable with the axiom of choice. The idea is to reduce the problem to an inner model where the axiom of choice…

Logic · Mathematics 2014-02-20 Asaf Karagila

If a semantically open language has no constraints on self-reference, one can prove an absurdity. The argument utilizes co-referring names 'a0' and 'a1', and the definition of a functional expression 'The reflection of x = y'. The…

Logic · Mathematics 2021-11-05 T. Parent

Machines are being increasingly used in decision-making processes, resulting in the realization that decisions need explanations. Unfortunately, an increasing number of these deployed models are of a 'black-box' nature where the reasoning…

Artificial Intelligence · Computer Science 2023-11-07 Sopam Dasgupta

Any scientific attempt to explain consciousness is tasked with reconciling the third person objective perspective of science with our first person subjective experience of the world. A good point of departure is to consider situations in…

History and Philosophy of Physics · Physics 2021-04-26 Hartmut Neven , Peter Read , Tobias Rees

We develop a model of wishful thinking that incorporates the costs and benefits of biased beliefs. We establish the connection between distorted beliefs and risk, revealing how wishful thinking can be understood in terms of risk measures.…

Theoretical Economics · Economics 2024-02-06 Jarrod Burgh , Emerson Melo

We propose a definition of externally measurable quantum work in driven systems. Work is given as a quantum observable on a control device which is forcing the system and can be determined without knowledge of the system Hamiltonian…

Quantum Physics · Physics 2020-10-07 Konstantin Beyer , Kimmo Luoma , Walter T. Strunz

Planning is useful. It lets people take actions that have desirable long-term consequences. But, planning is hard. It requires thinking about consequences, which consumes limited computational and cognitive resources. Thus, people should…

Artificial Intelligence · Computer Science 2020-02-17 Mark K. Ho , David Abel , Jonathan D. Cohen , Michael L. Littman , Thomas L. Griffiths

We motivate and describe a theory of belief in this paper. This theory is developed with the following view of human belief in mind. Consider the belief that an event E will occur (or has occurred or is occurring). An agent either…

Artificial Intelligence · Computer Science 2013-03-26 Yen-Teh Hsia

Novel gauge functions are introduced to non-relativistic classical mechanics and used to define forces. The obtained results show that the gauge functions directly affect the energy function and that they allow converting an undriven…

Mathematical Physics · Physics 2020-09-10 Z. E. Musielak , L. C. Vestal , B. D. Tran , T. B. Watson

It is well known that the action functional can be used to define classical, quantum, closed, and open dynamics in a generalization of the variational principle and in the path integral formalism in classical and quantum dynamics,…

Quantum Physics · Physics 2024-05-30 Janos Polonyi

To explain consciousness as a physical process we must acknowledge the role of energy in the brain. Energetic activity is fundamental to all physical processes and causally drives biological behaviour. Recent neuroscientific evidence can be…

Neurons and Cognition · Quantitative Biology 2018-10-15 Robert Pepperell

Insofar as consciousness has a functional role in facilitating learning and behavioral control, the builders of autonomous AI systems are likely to attempt to incorporate it into their designs. The extensive literature on the ethics of AI…

Computers and Society · Computer Science 2020-02-14 Aman Agarwal , Shimon Edelman

The aim of this paper is twofold: (1) to assess whether the construct of neural representations plays an explanatory role under the variational free-energy principle and its corollary process theory, active inference; and (2) if so, to…

Neurons and Cognition · Quantitative Biology 2023-07-19 Maxwell Ramstead , Karl Friston , Ines Hipolito

The Expansion property considered by researchers in Social Choice is shown to correspond to a logical property of nonmonotonic consequence relations that is the {\em pure}, i.e., not involving connectives, version of a previously known weak…

Artificial Intelligence · Computer Science 2007-05-23 Daniel Lehmann

We propose some formulations of the notion of "operational independence" of two subsystems of a larger quantum system and clarify their relation to other independence concepts in the literature. In addition, we indicate why the operational…

Quantum Physics · Physics 2010-11-09 Miklos Redei , Stephen J. Summers

In a previous paper (arXiv:1008.3661v1[quant-ph] 21 Aug 2010), we have given a purely logical proof of the Conway and Kochen Free Will theorem in QM: the freedom of the observer implies the freedom of the observed particle. Here we show…

Quantum Physics · Physics 2010-10-20 Iegor Reznikoff

In the absence of empirical confirmation, scientists may judge a theory's chances of being viable based on a wide range of arguments. The paper argues that such arguments can differ substantially with regard to their structural similarly to…

History and Philosophy of Physics · Physics 2017-02-07 Richard Dawid

Functionals are an important research subject in Mathematics and Computer Science as well as a challenge in Information Technologies where the current programming paradigm states that only symbolic computations are possible on higher order…

Logic · Mathematics 2018-09-13 Stanislaw Ambroszkiewicz