Strong Determinism vs. Computability

Calude, Cristian S.; Campbell, Douglas; Svozil, Karl; Stefanescu, Doru M.

doi:10.1007/978-94-017-3327-4_9

Cited by 9 publications

(5 citation statements)

References 36 publications

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“…Similar arguments against the possibility of algorithmic predictions have been put forward more recently (Calude et al 1995;Wolpert, 2001). David Wolpert shows that there cannot be a physical computer that can correctly predict any aspect of a future state of some physical system before that future state actually occurs (2001, pp. 016128-1).…”

Section: The Loschmidt's Reversibility Paradoxmentioning

confidence: 78%

A Revised Attack on Computational Ontology

Fresco

Staines

2013

Minds & Machines

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A revised attack on computational ontology A revised attack on computational ontology Follow this and additional works at: https://ro.uow.edu.au/eispapers Part of the Engineering Commons, and the Science and Technology Studies Commons Recommended Citation Recommended Citation Fresco, Nir and Staines, Phillip J., "A revised attack on computational ontology" (2014). Faculty of Engineering and Information Sciences -Papers: Part A. 2075. https://ro.uow.edu.au/eispapers/2075 Research Online is the open access institutional repository for the University of Wollongong. For further information contact the UOW Library: research-pubs@uow.edu.au A revised attack on computational ontology A revised attack on computational ontology Abstract AbstractThere has been an ongoing conflict regarding whether reality is fundamentally digital or analogue.Recently, Floridi has argued that this dichotomy is misapplied. For any attempt to analyse noumenal reality independently of any level of abstraction at which the analysis is conducted is mistaken. In the pars destruens of this paper, we argue that Floridi does not establish that it is only levels of abstraction that are analogue or digital, rather than noumenal reality. In the pars construens of this paper, we reject a classification of noumenal reality as a deterministic discrete computational system. We show, based on considerations from classical physics, why a deterministic computational view of the universe faces problems (e.g., a reversible computational universe cannot be strictly deterministic).Abstract. There has been an ongoing conflict regarding whether reality is fundamentally digital or analogue. Recently, Floridi has argued that this dichotomy is misapplied. For any attempt to analyse noumenal reality independently of any level of abstraction at which the analysis is conducted is mistaken. In the pars destruens of this paper, we argue that Floridi does not establish that it is only levels of abstraction that are analogue or digital, rather than noumenal reality. In the pars construens of this paper, we reject a classification of noumenal reality as a deterministic discrete computational system. We show, based on considerations from classical physics, why a deterministic computational view of the universe faces problems (e.g., a reversible computational universe cannot be strictly deterministic).

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Section: The Loschmidt's Reversibility Paradoxmentioning

confidence: 78%

A Revised Attack on Computational Ontology

Fresco

Staines

2013

Minds & Machines

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“…Thus, it equates information-processing capabilities of a human being with the "intellectual capacities" of a universal Turing machine. 25 This discussion leads directly to the traditional problem of mind and matter which exceeds the aim of this paper (see the discussion in [51,58,70,126,127,120,121,130]); in what follows we shall superficially review this topic in connection with the related question: can computers think?…”

Section: *Digression: Mind Brain and Computersmentioning

confidence: 94%

Complexity: A Language-Theoretic Point of View

Calude¹,

Hromkovič²

1997

Handbook of Formal Languages

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“…So we observe the quantum world 'computing' objects and relations at a higher level, but not within the standard framework of the computer science built on Turing's universal machines. We are now approaching the 'strong determinism' of Roger Penrose whose computational aspects were discussed in the 1995 paper of Calude et al [9]. And it is not just an epistemological divide: the science reflects a level of physical reality.…”

Section: Definability and The Collapse Of The Wave Functionmentioning

confidence: 99%

Mathematics, Metaphysics and the Multiverse

Cooper

2012

Lecture Notes in Computer Science

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It would be nice if science answered all questions about our universe. In the past, mathematics has not just provided the language in which to frame suitable scientific answers, but was also able to give us clear indications of its own limitations. The former was able to deliver results via an ad hoc interface between theory and experiment. But to characterise the power of the scientific approach, one needs a parallel higher-order understanding of how the working scientist uses mathematics, and the development of an informative body of theory to clarify and expand this understanding. We argue that this depends on us selecting mathematical models which take account of the 'thingness' of reality, and puts the mathematics in a correspondingly rich informationtheoretic context. The task is to restore the role of embodied computation and its hierarchically arising attributes. The reward is an extension of our understanding of the power and limitations of mathematics, in the mathematical context, to that of the real world. Out of this viewpoint emerges a widely applicable framework, with not only epistemological, but also ontological consequences -one which uses Turing invariance and its putative breakdowns to confirm what we observe in the universe, to give a theoretical status to the dichotomy between quantum and relativistic domains, and which removes the need for many-worlds and related ideas. In particular, it is a view which confirms that of many quantum theorists -that it is the quantum world that is 'normal', and our classical level of reality which is strange and harder to explain. And which complements fascinating work of Cristian Calude and his collaborators on the mathematical characteristics of quantum randomness, and the relationship of 'strong determinism' to computability in nature.Academics have ever been able to build successful (and very useful) careers within the bounds of 'normal science', and to revel in a near-Laputian unworldliness. But science would not progress half so well without a leavening of the less conventional, and an occasional engagement with the real-world. Particularly appropriate to the Turing Centenary, this short piece is dedicated to Cristian Calude on his sixtieth birthday -a researcher not just of formidable expertise, but one whose innovative work on real problems related to physics and randomness has much enriched our understanding of the world around us. This relevance ?

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Strong Determinism vs. Computability

Cited by 9 publications

References 36 publications

A Revised Attack on Computational Ontology

A Revised Attack on Computational Ontology

Complexity: A Language-Theoretic Point of View

Mathematics, Metaphysics and the Multiverse

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