Author:Vasil Penchev

Publications
Stop Calculating: It Is About Time to Start Thinking! Vasil Penchev EasyChair Preprint 13935
Hilbert Mathematics Versus (or Rather “Without”) Gödel Mathematics: V. Ontomathematics! Vasil Penchev EasyChair Preprint 13069
Isaac Asimov’s Sci-Fi Novella “Profession” Versus Professionalism: Reflections on the (Missing) Scientific Revolutions in the 21th Century Vasil Penchev EasyChair Preprint 11429
Logic, Mathematics, Physics: from a Loose Thread to the Close Link or What Gravity Is for Both Logic and Mathematics Rather than Only for Physics Vasil Penchev EasyChair Preprint 11121
Hilbert Mathematics Versus Gödel Mathematics. IV. the New Approach of Hilbert Mathematics Easily Resolving the Most Difficult Problems of Gödel Mathematics Vasil Penchev EasyChair Preprint 10610
The 2022 Nobel Prize in Physics for Entanglement and Quantum Information: the New Revolution in Quantum Mechanics and Science Vasil Penchev EasyChair Preprint 10221
Hilbert Mathematics Versus Gödel Mathematics III. Hilbert Mathematics by Itself, and Gödel Mathematics Versus the Physical World Within It: Both as Its Particular Cases Vasil Penchev EasyChair Preprint 9993
Gödel Mathematics Versus Hilbert Mathematics. II Logicism and Hilbert Mathematics, the Identification of Logic and Set Theory, and Gödel’s “Completeness Paper” (1930) Vasil Penchev EasyChair Preprint 9551
Gödel Mathematics Versus Hilbert Mathematics. I. the Gödel Incompleteness (1931) Statement: Axiom or Theorem? Vasil Penchev EasyChair Preprint 9073
Gentzen’s “Cut Rule” and Quantum Measurement in Terms of Hilbert Arithmetic. Metaphor and Understanding Modeled Formally Vasil Penchev EasyChair Preprint 8545
Fermat’s Last Theorem Proved in Hilbert Arithmetic. III. the Quantum-Information Unification of Fermat’s Last Theorem and Gleason's Theorem Vasil Penchev EasyChair Preprint 8280
Fermat’s Last Theorem Proved in Hilbert Arithmetic. II. Its Proof in Hilbert Arithmetic by the Kochen-Specker Theorem with or Without Induction Vasil Penchev EasyChair Preprint 7933
Fermat’s Last Theorem Proved in Hilbert Arithmetic. I. from the Proof by Induction to the Viewpoint of Hilbert Arithmetic Vasil Penchev EasyChair Preprint 7525
What the Tortoise Said to Achilles: Lewis Carroll’s Paradox in Terms of Hilbert Arithmetic Vasil Penchev EasyChair Preprint 7280
The Homeomorphism of Minkowski Space and the Separable Complex Hilbert Space: the Physical, Mathematical and Philosophical Interpretations Vasil Penchev EasyChair Preprint 7058
“Noema” and “Noesis” by Information After Husserl’s Phenomenology Interpreted Formally Vasil Penchev EasyChair Preprint 6848
Hilbert Arithmetic as a Pythagorean Arithmetic: Arithmetic as Transcendental Vasil Penchev EasyChair Preprint 6365
Quantum Phenomenology as a “Rigorous Science”: the Triad of Epoché and the Symmetries of Information Vasil Penchev EasyChair Preprint 6140
Quantity in Quantum Mechanics and the Quantity of Quantum Information Vasil Penchev EasyChair Preprint 5991
“Two bits less” after quantum-information conservation and their interpretation as “distinguishability / indistinguishability” and “classical / quantum” Vasil Penchev EasyChair Preprint 5952
Both Classical & Quantum Information: Both Bit & Qubit. Both Physical & Transcendental Time Vasil Penchev EasyChair Preprint 5862
The “Noncausal Causality” of Quantum Information Vasil Penchev EasyChair Preprint 5859
The Symmetries of Quantum and Classical Information. The Ressurected “Ether" of Quantum Information Vasil Penchev EasyChair Preprint 5739
Modal History versus Counterfactual History: History as Intention Vasil Penchev EasyChair Preprint 5276
The Generalization of the Periodic Table: the "Periodic Table" of "Dark Matter" Vasil Penchev EasyChair Preprint 5275
Natural Cybernetics of Time, or about the Half of any Whole Vasil Penchev EasyChair Preprint 5098
Natural Cybernetics and Mathematical History: the Principle of Least Choice in History Vasil Penchev EasyChair Preprint 4746
Two Deductions: (1) from the Totality to Quantum Information Conservation; (2) from the Latter to Dark Matter and Dark Energy Vasil Penchev EasyChair Preprint 4409
The Case of Quantum Mechanics Mathematizing Reality: the “Superposition” of Mathematically Modelled and Mathematical Reality: Is There Any Room for Gravity? Vasil Penchev EasyChair Preprint 4105
Quantum-Information Conservation. the Problem About “Hidden Variables”, or the “Conservation of Energy Conservation” in Quantum Mechanics: a Historical Lesson for Future Discoveries Vasil Penchev EasyChair Preprint 4048
The Relationship of Arithmetic as Two Twin Peano Arithmetic(s) and Set Theory: a New Glance from the Theory of Information Vasil Penchev EasyChair Preprint 3911
The Indeterminist Objectivity of Quantum Mechanics Versus the Determinist Subjectivity of Classical Physics Vasil Penchev EasyChair Preprint 3891
The Frontier of Time: The Concept of Quantum Information Vasil Penchev EasyChair Preprint 3880
Indeterminism in Quantum Mechanics: Beyond and/or Within Causation Vasil Penchev EasyChair Preprint 3871
A Model of Causal and Probabilistic Reasoning in Frame Semantics Vasil Penchev EasyChair Preprint 3856
The Godel Incompleteness Theorems (1931) by the Axiom of Choice Vasil Penchev EasyChair Preprint 3855
Universal Logic in terms of Quantum Information Vasil Penchev EasyChair Preprint 3854
Natural Argument by a Quantum Computer Vasil Penchev EasyChair Preprint 3819
Time and Information in the Foundations of Physics Vasil Penchev EasyChair Preprint 3818
Skolem’s “Paradox” as Logic of Ground: The Mutual Foundation of Both Proper and Improper Interpretations Vasil Penchev EasyChair Preprint 3709
Time: From the Totality to Quantum Information Vasil Penchev EasyChair Preprint 3551
Mass at Rest After Quantum Information Vasil Penchev EasyChair Preprint 3541
Quantum Invariance Vasil Penchev EasyChair Preprint 3534
Cyclic Mechanics: the Principle of Cyclicity Vasil Penchev EasyChair Preprint 3525
Free Will in Human Behavior and Physics Vasil Penchev EasyChair Preprint 3515
Searching and Classifying Vasil Penchev EasyChair Preprint 3499
The Identity of Logic and the World in terms of Quantum Information Vasil Penchev EasyChair Preprint 3498
God's Dice Vasil Penchev EasyChair Preprint 3496
Gravity as Entanglement, Entanglement as Gravity Vasil Penchev EasyChair Preprint 3494
Why Anything Rather than Nothing? the Answer of Quantum Mechanics Vasil Penchev EasyChair Preprint 3481
God, Logic, and Quantum Information Vasil Penchev EasyChair Preprint 3477
The Isomorphism of Minkowski Space and the Separable Complex Hilbert Space and Its Physical Interpretation Vasil Penchev EasyChair Preprint 3464
Quantum Complementarity: Both Duality and Opposition Vasil Penchev EasyChair Preprint 3453
Problem of the Direct Quantum-Information Transformation of Chemical Substance Vasil Penchev EasyChair Preprint 3451
Reality in a Few Thermodynamic Reference Frames: Statistical Thermodynamics from Boltzmann via Gibbs to Einstein Vasil Penchev EasyChair Preprint 3441
Pattern Recognition in Quantum Computation Vasil Penchev EasyChair Preprint 3427
From the Principle of Least Action to the Conservation of Quantum Information in Chemistry. Can One Generalize the Periodic Table? Vasil Penchev EasyChair Preprint 3426
Matter as Information Quantum Information as Matter Vasil Penchev EasyChair Preprint 3413
The Quantity of Quantum Information and Its Metaphysics Vasil Penchev EasyChair Preprint 3403
General Relativity and Quantum Gravity in Terms of Quantum Measure: A Philosophical Comment Vasil Penchev EasyChair Preprint 3395
The Quantum Strategy of Completeness: on the Self-Foundation of Mathematics Vasil Penchev EasyChair Preprint 3387
Representation and Reality by Language: How to make a home quantum computer? Vasil Penchev EasyChair Preprint 3371
Fermat’s Last Theorem Proved by Induction Vasil Penchev EasyChair Preprint 3357
Quantum Occasionalism Vasil Penchev EasyChair Preprint 3349
What Is Quantum Information? Information Symmetry and Mechanical Motion Vasil Penchev EasyChair Preprint 3327
More Than Impossible: Negative And Complex Probabilities And Their Interpretation Vasil Penchev EasyChair Preprint 3321
All The Physical World As Mathematical: Physical Entity as Quantum Information Vasil Penchev EasyChair Preprint 3311
Equilibrium in Nash’s Mind Vasil Penchev EasyChair Preprint 3295
Quantum Computer: Quantum Model and Reality Vasil Penchev EasyChair Preprint 3294
Atoms, Quanta, and Qubits: Atomism in Quantum Mechanics and Information Vasil Penchev EasyChair Preprint 3293
A Formal Model of Metaphor in Frame Semantics Vasil Penchev EasyChair Preprint 3273
Quantum Information as the Information of Infinite Series Vasil Penchev EasyChair Preprint 3272
A Reductionist Reading of Husserl’S Phenomenology by Mach’S Descriptivism and Phenomenalism Vasil Penchev EasyChair Preprint 3262
From the “Free Will Theorems” to the “Choice Ontology” of Quantum Mechanics Vasil Penchev EasyChair Preprint 3261
A Mathematical Model of Quantum Computer by Both Arithmetic and Set Theory Vasil Penchev EasyChair Preprint 3256
If Quantum Mechanics Is the Solution, What Should the Problem Be? Vasil Penchev EasyChair Preprint 3253
A Quantum Computer in a “Chinese Room” Vasil Penchev EasyChair Preprint 3240
Cognition according to Quantum Information: Three Epistemological Puzzles Solved Vasil Penchev EasyChair Preprint 3219
Mamardashvili, an Observer of the Totality Vasil Penchev EasyChair Preprint 3217
Two Strategies to Infinity: Completeness and Incompleteness. the Completeness of Quantum Mechanics Vasil Penchev EasyChair Preprint 3216
Superhumans: Superlanguage? Vasil Penchev EasyChair Preprint 3200
All Science as Rigorous Science: the Principle of Constructive Mathematizability of Any Theory Vasil Penchev EasyChair Preprint 3199
A Class of Examples Demonstrating That “P ≠ NP” in the “P Vs NP” Problem Vasil Penchev EasyChair Preprint 3198
From the Four-Colors Theorem to a Generalizing “Four-Letters Theorem”: a Sketch for “Human Proof” and the Philosophical Interpretation Vasil Penchev EasyChair Preprint 3194

Keyphrases

Achilles and the Turtle, Aletheia, anthropogenesis, anti-metaphysical turn in philosophy, Aristotle, arithmetic, arithmetic mechanics, Arithmetics, Asimov’s “Profession”, Atom, axiom of (transfinite) induction, axiom of choice¹², axiom of induction², axiom of transfinite induction², Big Bang, bit and choice, bit and qubit⁵, bit of information, BKS theory, Boltzmann, Boolean algebra³, Bose-Einstein Statistics, Carl Linneaus, Carnot, category theory, causality, causation, Chemical transformation, choice¹⁵, choice and well ordering, classical and quantum information², classical quantum mechanics², coherent state, Complementarity, completeness⁴, Completeness of quantum mechanics, complex probability, computation time, confinement³, Consciousness, conservation, consistent completeness of mathematics and physics unification of mathematics and physics, contemporary state of physics, counterfactual history, Course of time, creation, cut elimination, cybernetics, cyclicity, dark and light phases of the universe, dark energy³, dark energy and dark matter, dark matter⁴, dark matter vs dark energy, demarcation of science to metaphysics, determinism, Determinism and Indeterminism, dialectical logic, discrete reference frame, dual axiomatics, duality, eidetic or phenomenological or transcendental reduction epoché, eidetic reduction³, Einstein⁴, Einstein vs quantum mechanics, Einstein’s “Mach’s principle”, elements and system, Emmy Noether’s theorems of conservation, Energy², energy conservation⁴, energy conservation in quantum mechanics, entanglement¹³, entanglement theory of gravitation, episteme, Epoché⁴, epoché to reality, EPR², epsilon calculus, Equality, equilibrium, eternal normal science, Euclidean and non-Euclidean geometries, evolution and future of homo sapiens, evolutionary tree, Fermat Last Theorem, Fermat's last theorem, Fermat’s Last Theorem⁴, Fermi-Dirac Statistics, Feyerabend’s “Against Method”, Feynman interpretation of quantum mechanics, Feynman pathway, Fifth postulate of Euclid, finiteness, finitism², first-order logic, formal and mathematical semantics, formal phenomenology, formal transcendentalism, foundations of mathematics², Four-Color Theorem², frame², frame and reference frame, frame semantics², free will², free will theorems², freewill², freewill theorems, Fukuyama’s “end of history”, Fundamental Ontology, Gadamer, General Relativity⁶, general relativity and quantum gravity, Gentzen arithmetic, Gentzen proof of completeness, Gibbs, Gibbs and Boltzmann thermodynamics, Gleason Theorem, Gleason’s theorem², goal, God, gravitation², gravity, Gödel², Gödel Incompleteness Theorems, Gödel mathematics⁴, halting problem, Hamilton representation, Hegel², Heidegger³, Heidegger's Aletheia, Henkin's propostion, hermeneutical circle, Hermitian and non-Hermitian quantities in quantum mechanics, Heyting Arithmetic, hidden variables, hidden variables in quantum mechanics, Hilbert arithmetic¹³, Hilbert arithmetics, Hilbert mathematics⁵, Hilbert Program², Hilbert space⁷, Hilbert space of quantum mechanics, historical dialectics, historical hhenomenology, historical objectivity, historical phenomenon, historical reduction, historical subjectivity, Historiography, history as intention, hominization, Husserl⁴, Husserl reductions, Husserl's Phenomenology, Husserl’s phenomenology, idempotency and hierarchy, identity, incompleteness², indeterminism, induction, infinite computation³, infinite descent, Infinity, information¹¹, information and quantum information², Information Conservation, information of infinite sets or series, Information symmetry, interpretation of quantum mechanics, invariance to the discrete and continuous, Kochen and Specker theorem², Kochen and Specker’s theorem, Kochen-Specker theorem², Kolmogorov’s axiom of probability, lagrange representation, language², Leibniz, Lewis Carroll’s paradox, light and dark phases of the universe, Lob's theorem, Lobachevsky geometry, locality and nonlocality³, logic, Logicism², Mach’s “economy of thought”, Mamardashvili, many-worlds interpretation of QM, mass³, mass at rest, Mathematical history, matrix mechanics, matter, matter and energy, Maxwell-Boltzmann statistics, measure, measurement in quantum mechanics, metaphor², Michel Foucault, mind, Minkowski space³, modal history, model, Model and reality, modernity versus postmodernity, Nash's equilibrium, Natural argument, natural historical cybernetics, ncompleteness, negative probability, Neumann's equilibrium, NOEMA, NOESIS, Noether theorems of conservation, nonstandard bijection, nonstandard Peano arithmetic, normal science, normal science versus scientific revolutions reasonability versus sociability, observer, Occasionalism, Ontology, ontomathematics³, oppostion, order², ordering, P vs NP, paradigm, paradox of the arrow, parts and whole, Pauli’s particle paradigm², Peano arithmetic¹⁰, Perelman’s proof, Periodic Table², phenomenological and transcendental reduction, phenomenological and transcendental reductions, phenomenological reduction, phenomenological thermpdynamics, Phenomenology³, physical and mathematical transcendentalism², physical entity, Poincaré conjecture, Poincaré’s conjecture², Principia Mathematica, principle of least choices, principle of universal mathematizability², Probabilistic Causation, probabilistic interpretation of QM, probabilistic interpretation of quantum mechanics, probability, proposition, propositional logic⁴, pseudo-Riemannian space³, Pythagoreanism⁴, Quality, quantity, quantum, quantum chemistry², quantum computer⁸, quantum computer as a Turing machine generalization, quantum correlation, quantum entanglement³, quantum gravity⁴, quantum holism, quantum indistinguishability, quantum information⁴⁰, quantum-information conservation⁵, quantum invariance, quantum logic, quantum measurement, quantum mechanics⁵, quantum occasionalism, quantum Turing machine³, qubi, qubit¹⁴, qubit Hilbert space⁷, qubit Hulbert space, qubit space (qubit Hilbert space), reality², reference frame, representation, Reverse Causality², Riemann geometry, Riemann space curvature, Russell², Schizophrenia, Schrödinger equation, science versus society, Scientific Revolutions, separable complex Hilbert space², set and set theory, set theory⁶, set theory and logic as Boolean algebra, Skolem's paradox, Sokal’s hoax, space-time, Special and general relativity, standard model², statistical thermodynamics, still more general principle of relativity, substance, symmetries of information, teleportation, the Big Bang, the ether, the Liar’s paradox, the self, the standard model⁴, the totality⁴, The Universe, the “Big Bang”, theorems of Noether (1918), thinking versus calculation, Thomas Kuhn, time⁵, totality², transcendental Consciousness, transcendental history, transcendental invariance, transcendental reduction, transcendental time, Turing machine⁴, two complimentary arithmetics, uantum information, undulatory mechanics, Unitarity², unitarity and non-unitarity, unity of mathematics and physics, Universal Logic, universal pattern recognition², universal taxonomy, vector space, wave function, wave-particle duality², well-ordering⁹, well-ordering principle, Well ordering theorem, Wiles’s proof, Wittgenstein, Yang-Mills existence and mass gap problem, “George Platen”, “Symbol and Consciousness”.