Representation and Reality by Language: How to make a home quantum computer?

Philosophy of Science eJournal (Elsevier: SSRN) 13 (34):1-14 (2020)
  Copy   BIBTEX

Abstract

A set theory model of reality, representation and language based on the relation of completeness and incompleteness is explored. The problem of completeness of mathematics is linked to its counterpart in quantum mechanics. That model includes two Peano arithmetics or Turing machines independent of each other. The complex Hilbert space underlying quantum mechanics as the base of its mathematical formalism is interpreted as a generalization of Peano arithmetic: It is a doubled infinite set of doubled Peano arithmetics having a remarkable symmetry to the axiom of choice. The quantity of information is interpreted as the number of elementary choices (bits). Quantum information is seen as the generalization of information to infinite sets or series. The equivalence of that model to a quantum computer is demonstrated. The condition for the Turing machines to be independent of each other is reduced to the state of Nash equilibrium between them. Two relative models of language as game in the sense of game theory and as ontology of metaphors (all mappings, which are not one-to-one, i.e. not representations of reality in a formal sense) are deduced.

Links

PhilArchive

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Quantum Computer: Quantum Model and Reality.Vasil Penchev - 2020 - Epistemology eJournal (Elsevier: SSRN) 13 (17):1-7.
Quantum information as the information of infinite collections or series.Vasil Penchev - 2020 - Information Theory and Research eJournal (Elsevier: SSRN) 1 (14):1-8.
The Completeness: From Henkin's Proposition to Quantum Computer.Vasil Penchev - 2018 - Логико-Философские Штудии 16 (1-2):134-135.
Matter as Information. Quantum Information as Matter.Vasil Penchev - 2016 - Nodi. Collana di Storia Della Filosofia 2016 (2):127-138.
A Formal Model of Metaphor in Frame Semantics.Vasil Penchev - 2015 - In Proceedings of the 41st Annual Convention of the Society for the Study of Artificial Intelligence and the Simulation of Behaviour. New York: Curran Associates, Inc.. pp. 187-194.
Bohmian Mechanics and Quantum Information.Sheldon Goldstein - 2010 - Foundations of Physics 40 (4):335-355.
Quantum Mechanics is About Quantum Information.Jeffrey Bub - 2005 - Foundations of Physics 35 (4):541-560.
The Ontological Status Of Quantum Information.Robert ArnĂutu - 2010 - Studia Universitatis Babeş-Bolyai Philosophia 1.
Beyond Turing: Hypercomputation and Quantum Morphogenesis.Ignazio Licata - 2012 - Asia Pacific Mathematics Newsletter 2 (3):20-24.
Atomism in Quantum Mechanics and Information.Vasil Penchev - 2020 - Metaphysics eJournal (Elsevier: SSRN) 13 (12):1-11.
Quantum hypercomputation.Tien D. Kieu - 2002 - Minds and Machines 12 (4):541-561.
A final solution to the mind-body problem by quantum language.Shiro Ishikawa - 2017 - Journal of Quantum Information Science 7:140-154.

Analytics

Added to PP
2020-07-26

Downloads
288 (#65,607)

6 months
63 (#62,032)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Vasil Penchev
Bulgarian Academy of Sciences

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references