Vasil Penchev

Institute of Philosophy and Sociology - Bulgarian Academy of Sciences

Moskovska Str., 13 A

Sofia, 1000

Bulgaria

http://https://ips-bas.org/institute/

SCHOLARLY PAPERS

62

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420

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12

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Ideas:
“  Today, August 30, I should finish and publish in Internet (presumably) the paper I am writing and titled:"The case of quantum mechanics mathematizing reality: the “superposition” of mathematically modelled and mathematical reality: Is there any room for gravity?"Then, I will start the following two papers (most probably in the cited order) since tomorow, therfore hoping for both to be ended in September ... 1. "Two deductions: quantum information conservation from time arrow and transcendental invariant; dark matter and dark energy from quantum information conservation". 2. "Natural cybernetics ad mathematical history: the principle of least choice in history". So, the paper intended since a few months and devoted to the equivalence of Verlinde's theory and general relativity after a thermodynamic interpretation of the latter is to be postponed to October (hopefully)  ”

Scholarly Papers (62)

1.

Equilibrium in Nash's Mind

Number of pages: 11 Posted: 28 May 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 27 (539,815)

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disintegration, game theory, information processing, Nash equilibrium, schizophrenia

2.

Reality in a Few Thermodynamic Reference Frames: Statistical Thermodynamics From Boltzmann via Gibbs to Einstein

Number of pages: 14 Posted: 16 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 14 (631,127)

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Boltzmann, Carnot, Einstein, Gibbs, elements and system, parts and a whole, phenomenological thermpdynamics, statistical thermodynamics

3.

Free Will in Human Behavior and Physics

Labor and Social Relations (Труд и социальные отношения) 30 (6); 185-196.
Number of pages: 10 Posted: 10 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 14 (624,063)

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axiom of choice, choice, free will, free will theorems, goal, hidden variables, quantum information, quantum mechanics

4.

Fermat’s Last Theorem Proved by Induction (and Accompanied by a Philosophical Comment)

Number of pages: 8 Posted: 10 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 12 (638,380)
Citation 2

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Fermat's last theorem, Wiles's proof, modularity theorem, induction

5.

Atomism in Quantum Mechanics and Information

Number of pages: 11 Posted: 01 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 12 (638,380)

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atom, quantum, qubit, quantum information, choice

6.

A Class of Examples Demonstrating That 'P ≠ NP' in the 'P Vs NP' Problem

Number of pages: 19 Posted: 05 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 11 (645,583)

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Kochen - Specker theorem, P vs NP, Turing machine, computation time, quantum computer, quantum computer as a Turing machine generalization

7.

From the 'Free Will Theorems' to the 'Choice Ontology' of Quantum Mechanics

Number of pages: 10 Posted: 20 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 11 (645,583)

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choice, freewill, freewill theorems, hidden variables in quantum mechanics

8.

Quantum Computer: Quantum Model and Reality

Number of pages: 7 Posted: 29 Jun 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 10 (652,617)

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model, quantum computer, reality, Turing machine

9.

The Relationship of Arithmetic As Two Twin Peano Arithmetic(s) and Set Theory: A New Glance From the Theory of Information

Number of pages: 33 Posted: 25 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 9 (659,869)
Citation 2

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Peano arithmetic, nonstandard interpretation of Peano arithmetic, two complimentary standard interpretations of Peano arithmetic, Hilbert arithmetic, consistent completeness of mathematics and physics, unification of mathematics and physics, information, quantum information

10.

The Gödel Incompleteness Theorems (1931) by the Axiom of Choice

Number of pages: 4 Posted: 12 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 9 (659,869)

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choice, arithmetic, set theory, well-ordering, information

11.

Time and Information in the Foundations of Physics

Number of pages: 12 Posted: 10 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 9 (659,869)

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choice, order, quantum information, time, totality, well-ordering

12.

Why Anything Rather Than Nothing? The Answer of Quantum Mechanics

Ivan Mladenov & Aleksandar Feodorov (eds.), Non/Cognate Approaches: Relation & Representation. Sofia: "Парадигма". pp. 151-172 (2019)
Number of pages: 22 Posted: 03 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 9 (659,869)

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Creation, dark energy, dark matter, entanglement, quantum information, the “Big Bang”, the Standard model

13.

Gravity as Entanglement. Entanglement as Gravity

Number of pages: 23 Posted: 04 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 8 (667,186)

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entanglement, gravity, invariance of the discrete and continuous, quantum gravity, reference frame

14.

Reducing Emergence: The Case Studies in Statistic Thermodynamics, General Relativity, and Quantum Mechanics

Number of pages: 3 Posted: 31 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 8 (667,186)

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emergent property, reduction, statistic thermodynamics, general relativity, quantum mechanics

15.

God, Logic, and Quantum Information

Number of pages: 10 Posted: 31 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 8 (667,186)

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God, logic, information, quantum information, choice, axiom of choice, matter, mass, energy

16.

High-Order Metaphysics as High-Order Abstractions and Choice in Set Theory

Number of pages: 3 Posted: 29 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 8 (667,186)

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axiom pf choice, "good" abstraction, high-order metaphysics

17.

If Quantum Mechanics Is the Solution, What Should the Problem Be?

Number of pages: 10 Posted: 16 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 8 (667,186)

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energy conservation; Hilbert space; many-worlds interpretation of quantum mechanics; past, present, and future; probabilistic interpretation of quantum mechanics; quantum information; Schrödinger equation; time; wave-particle duality

18.

Main Concepts in Philosophy of Quantum Information

Number of pages: 4 Posted: 14 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 8 (667,186)
Citation 1

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quantum information, free will, choice, qubit, quantity of quantum information, transfinite generalization of information

19.

More Than Impossible: Negative and Complex Probabilities and Their Philosophical Interpretation

Number of pages: 7 Posted: 09 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 8 (667,186)

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complex probability, Hilbert space, negative probability, probability, quantum information, vector space

20.

All Science As Rigorous Science: The Principle of Constructive Mathematizability of Any Theory

Number of pages: 15 Posted: 29 Jun 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 8 (667,186)
Citation 1

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axiom of choice; axiom of induction; axiom of transfinite induction; eidetic, phenomenological and transcendental reduction; epoché; Gödel mathematics; Hilbert mathematics; information; quantum mechanics, quantum information; phenomenology; principle of universal mathematizability

21.

Cyclic Mechanics: the Principle of Cyclicity

Number of pages: 35 Posted: 07 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 7 (674,456)

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cyclicity, energy, information, mass, quantum information, the universe

22.

The Quantum Strategy of Completeness: On the Self-Foundation of Mathematics

Number of pages: 12 Posted: 03 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 7 (674,456)

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axiom of choice, finitism, Gentzen proof of completeness, Gödel incompleteness theorems, Heyting arithmetic, Hilbert program, Peano arithmetic, quantum mechanics, completeness of quantum mechanics

23.

What Is Quantum Information? Information Symmetry and Mechanical Motion

Number of pages: 7 Posted: 01 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 7 (674,456)

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Axiom of Choice, Axiom of (Transfinite) Induction, Hamilton Representation, Hilbert Space, Information, Information Symmetry, Lagrange Representation, Minkowski Space, Peano Arithmetic, Pseudo-Riemannian Space, Quantum Information, Qubit, Set Theory

24.

Representation and Reality by Language: How to Make a Home Quantum Computer?

Number of pages: 14 Posted: 21 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 7 (674,456)

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completeness, halting problem, incompleteness, information, language, quantum computer, quantum information, quantum mechanics, reality, representation, Turing machine

25.

From the Four-Color Theorem to a Generalizing 'Four-Letter Theorem': A Sketch for 'Human Proof' and the Philosophical Interpretation

Number of pages: 7 Posted: 17 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 7 (674,456)
Citation 1

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Gentzen arithmetic, Peano arithmetic, Skolem's paradox, completeness, four color theorem, incompleteness, set theory

26.

The Temporal Foundation of the Principle of Maximal Entropy

Number of pages: 3 Posted: 01 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 7 (674,456)

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atom, quantum, qubit, quantum information, choice

27.

Superhumans: Superlanguage?

Dialog and universlism, 2016(1): 79-89.
Number of pages: 11 Posted: 28 May 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 7 (674,456)

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Heidegger, Husserl, human evolution, language

28.

The Indeterminist Objectivity of Quantum Mechanics Versus the Determinist Subjectivity of Classical Physics

Number of pages: 5 Posted: 18 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 6 (681,940)

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Choice, Determinism and Indeterminism Free Will, Free Will Theorems, Kochen-Specker Theorem

29.

Indeterminism in Quantum Mechanics: Beyond and/or Within Causation

Number of pages: 5 Posted: 14 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 6 (681,940)

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Causation, Choice and Well Ordering, Determinism, Hilbert Space of Quantum Mechanics, Indeterminism, Probabilistic Causation

30.

A Model of Causal and Probabilistic Reasoning in Frame Semantics

Number of pages: 4 Posted: 12 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 6 (681,940)

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frame, frame and reference frame, frame semantics, formal and mathematical semantics, entanglement, quantum information

31.

The Frontier of Time: The Concept of Quantum Information

Number of pages: 5 Posted: 12 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 6 (681,940)

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axiom of choice, choice, formal transcendentalism, the totality, time, information, quantum information, well-ordering, well-ordering principle

32.

Universal Logic in terms of Quantum Information

Number of pages: 5 Posted: 12 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 6 (681,940)

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Bit and Choice, Hilbert Space, Information, Quantum Information, Qubit

33.

The Identity of Logic and the World in Terms of Quantum Information

Number of pages: 4 Posted: 03 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 6 (681,940)

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Choice, Entanglement, Quantum Information, Qubit, Universal Logic, Well-Ordering, Well-Ordering Theorem

34.

Skolem’s ‘Paradox’ As Logic of Ground: The Mutual Foundation of Both Proper and Improper Interpretations

Number of pages: 16 Posted: 24 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 6 (681,940)

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axiom of choice; axiom of induction; axiom of transfinite induction; eidetic, phenomenological and transcendental reduction; epoché; Gödel mathematics; Hilbert mathematics; information; quantum mechanics, quantum information; phenomenology; principle of universal mathematizability

35.

Physical Entity As Quantum Information

Number of pages: 15 Posted: 24 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 6 (681,940)

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Heidegger's Aletheia, physical entity, quantum information, theorems of Noether (1918), unity of mathematics and physics

36.

The Isomorphism of Minkowski Space and the Separable Complex Hilbert Space and Its Physical Interpretation

Number of pages: 3 Posted: 14 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 6 (681,940)

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axiom of choice, choice, Hilbert space, Minkowski space, Poincaré’s conjecture, quantum information, qubit, well-ordering

37.

Quantum Information as the Information of Infinite Series

Number of pages: 8 Posted: 10 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 6 (681,940)
Citation 2

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axiom of choice, bit and qubit, choice, information, quantum information, set and set theory, well-ordering

38.

Time: From the Totality to Quantum Information

Number of pages: 14 Posted: 29 Jun 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 6 (681,940)

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choice, order, quantum information, time, totality, well-ordering

39.

From the Principle of Least Action to the Conservation of Quantum Information in Chemistry: Can One Generalize the Periodic Table?

Chemistry: Bulgarian Journal of Science Education, Volume 28, No 4, 2019, pp. 525-539.
Number of pages: 15 Posted: 01 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 5 (689,249)

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Conservation; Emmy Noether’s Theorems of Conservation; Quantum Information; Periodic Table; Quantum Chemistry

40.

Quantum Invariance

Number of pages: 6 Posted: 31 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 5 (689,249)

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axiom of choice, choice, coherent state, measurement in quantum mechanics, well-ordering

41.

The Quantity of Quantum Information and Its Metaphysics

Number of pages: 6 Posted: 29 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 5 (689,249)

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pythagoreanism, bit and qubit, information of infinite sets or series, interpretation of quantum mechanics, quantum information

42.

A Mathematical Model of Quantum Computer by Both Arithmetic and Set Theory

Number of pages: 13 Posted: 22 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 5 (689,249)

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Peano Arithmetic, Turing Machine, Bit and Qubit, Classical and Quantum Information, Quantum Computer, Set Theory

43.

Quantum Occasionalism

Number of pages: 14 Posted: 21 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 5 (689,249)

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causality, choice, freewill, occasionalism, quantum occasionalism, reverse causality

44.

Quantum Gravity As the Unification of General Relativity & Quantum Mechanics

Number of pages: 3 Posted: 14 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 5 (689,249)

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cyclicality, quantum in-variance, conservation of action

45.

General Relativity and Quantum Gravity in Terms of Quantum Measure: A Philosophical Comment

Number of pages: 37 Posted: 10 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 5 (689,249)

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Einstein, general relativity, measure, quantum gravity, the Big Bang

46.

Quantum Complementarity: Both Duality and Opposition

Number of pages: 6 Posted: 08 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 5 (689,249)

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complementarity, opposition, duality, completeness

47.

Inductive Logic from the Viewpoint of Quantum Information

Number of pages: 2 Posted: 29 Jun 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 5 (689,249)

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entanglement, hypothetical reasoning interpretation of wave function, inductive and probabilistic conclusion

48.

God's Dice

Actas: VIII Conference of the Spanish Society for Logic, Methodology, and Philosophy of Sciences (eds. J. Martínez, García-Carpintero, J. Díez, S. Oms), Barcelona, Universitat de Barcelona, pp. 297-303, 2015
Number of pages: 7 Posted: 24 Jun 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 5 (689,249)
Citation 1

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Einstein vs Quantum Mechanics, Fermat’s Last Theorem, Gleason’s Theorem, Kolmogorov’s Axiom of Probability, Qubit

49.

A Reductionist Reading of Husserl's Phenomenology by Mach's Descriptivism and Phenomenalism

Number of pages: 4 Posted: 28 May 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 5 (689,249)

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eidetic reduction, phenomenological reduction transcendental reduction; epoché; Husserl’s, phenomenology; Mach’s 'economy of thought'

50.

The Case of Quantum Mechanics Mathematizing Reality: The ‘Superposition’ of Mathematically Modeled and Mathematical Reality: Is There Any Room for Gravity?

Number of pages: 15 Posted: 19 Oct 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 4 (696,840)

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confinement, entanglement, general relativity, model, reality, quantum gravity, quantum information

51.
Downloads 4 (696,840)
Citation 2

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BKS Theory, Class of Equivalence, Energy Conservation in Quantum Mechanics, Fourth Uncertainty Relation, General Relativity and Quantum Gravity, Gibbs and Boltzmann Thermodynamics, Heisenberg’s Matrix Mechanics, Pseudo-Riemannian Space

52.

A Formal Model of Metaphor in Frame Semantics

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 (2016)
Number of pages: 8 Posted: 18 Sep 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 4 (696,840)

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Feynman interpretation of quantum mechanics, entanglement, frame, frame semantics, metaphor

53.

Natural Argument by a Quantum Computer

Number of pages: 8 Posted: 12 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 4 (696,840)

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Infinite Computation, Quantum Computer, Quantum Turing Machine, Quantum Entanglement, Qubit, Natural Argument

54.

Cognition According to Quantum Information: Three Epistemological Puzzles Solved

Number of pages: 15 Posted: 29 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 4 (696,840)

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axiom of choice, entanglement, quantum information, quantum in-variance, qubit

55.

A Quantum Computer in a 'Chinese Room'

Number of pages: 8 Posted: 20 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 4 (696,840)

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Infinite Computation, Quantum Computer, Quantum Turing Machine, Quantum Entanglement, Qubit, Universal Pattern Recognition

56.

Two deductions: (1) from the totality to quantum information conservation; (2) from the latter to dark matter and dark energy

Number of pages: 47 Posted: 20 Oct 2020 Last Revised: 29 Oct 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 3 (705,013)

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confinement, dark energy, dark matter, entanglement, general relativity, physical and mathematical transcendentalism, quantum information, the Standard model, transcendental invariance

57.

Mass at Rest after Quantum Information

Number of pages: 16 Posted: 04 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 3 (705,013)

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general relativity, the Standard model, quantum information, mass at rest, qubit, the Big Bang

58.

Choice, Infinity, and Negation: Both Set-Theory and Quantum-Information Viewpoints to Negation

Number of pages: 3 Posted: 02 Jul 2020 Last Revised: 07 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 3 (705,013)

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choice, entanglement, infinity, information, negation, quantum correlations, quantum information

59.

Two Strategies to Infinity: Completeness and Incompleteness. The Completeness of Quantum Mechanics

Number of pages: 8 Posted: 01 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 3 (705,013)

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entanglement, EPR, Henkin’s propostion, Löb’s theorem, EPR, quantum information, quantum computer, qubit

60.

Problem of the Direct Quantum-Information Transformation of Chemical Substance

Number of pages: 15 Posted: 08 Jul 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 2 (715,099)

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axiom of choice; axiom of induction; axiom of transfinite induction; eidetic; phenomenological and transcendental reduction; epoché; Gödel mathematics; Hilbert mathematics; information; quantum mechanics; quantum information; phenomenology; principle of universal mathematizability

61.

Mamardashvili, an Observer of the Totality. About ‘Symbol and Consciousness’, and the Cross Between East and West, Infinity and Finiteness

Labor and Social Relations (Moscow), Vol 29 (2): 189-199, 2018
Number of pages: 14 Posted: 23 Jun 2020 Last Revised: 06 Aug 2020
Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences
Downloads 1 (727,432)

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Mamardashvili, “Symbol and Consciousness”, the totality, observer, infinity, finiteness

62.

Natural cybernetics and mathematical history: the principle of least choice in history

Vasil Penchev
Institute of Philosophy and Sociology - Bulgarian Academy of Sciences

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Gadamer, Hegel, Heidegger, Husserl, historical dialectics, historical phenomenology, information conservation, mathematical history, natural historical cybernetics, transcendental history, law of least choices