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Set theory and physics

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160130102openalex-snapshot
The unreasonable effectiveness of mathematics in the natural sciences. Richard courant lecture in mathematical sciences delivered at New York University, May 11, 1959
inferredcites →https://doi.org/10.1002/cplx.6130010409openalex-snapshot
How real are virtual realities, how virtual is reality?—Constructive re‐interpretation of physical undecidability
inferredcites →https://doi.org/10.1007/978-0-387-75477-2_20openalex-snapshot
The Banach-Tarski Paradox
inferredcites →https://doi.org/10.1007/978-1-4613-8101-3openalex-snapshot
The Mathematics of Time: Essays on Dynamical Systems, Economic Processes, and Related Topics
inferredcites →https://doi.org/10.1007/978-3-642-61667-9openalex-snapshot
Constructive Analysis
inferredcites →https://doi.org/10.1007/978-3-662-00274-2openalex-snapshot
Gesammelte Abhandlungen
inferredcites →https://doi.org/10.1007/978-3-662-03049-3openalex-snapshot
Information and Randomness
inferredcites →https://doi.org/10.1007/978-3-662-21717-7openalex-snapshot
Computability in Analysis and Physics
inferredcites →https://doi.org/10.1007/978-94-010-9466-5_1openalex-snapshot
A Notion of Mechanistic Theory
inferredcites →https://doi.org/10.1007/bf00166348openalex-snapshot
Consistency and Konsistenz
inferredcites →https://doi.org/10.1007/bf00414288openalex-snapshot
An epistemological use of nonstandard analysis to answer Zeno's objections against motion
inferredcites →https://doi.org/10.1007/bf00484949openalex-snapshot
A notion of mechanistic theory
inferredcites →https://doi.org/10.1007/bf01052602openalex-snapshot
Constructive mathematics and unbounded operators ? A reply to Hellman
inferredcites →https://doi.org/10.1007/bf01206605openalex-snapshot
Über das Unendliche
inferredcites →https://doi.org/10.1007/bf01444205openalex-snapshot
Beitr�ge zur Begr�ndung der transfiniten Mengenlehre
inferredcites →https://doi.org/10.1007/bf01700692openalex-snapshot
Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I
inferredcites →https://doi.org/10.1007/bf02124929openalex-snapshot
Beiträge zur Begründung der transfiniten Mengenlehre
inferredcites →https://doi.org/10.1007/bf02213427openalex-snapshot
Hadron physics and transfinite set theory
inferredcites →https://doi.org/10.1007/bf02721331openalex-snapshot
Irreversibility, uncertainty, relativity and computer limitations
inferredcites →https://doi.org/10.1007/bf02727427openalex-snapshot
Partition logics of automata
inferredcites →https://doi.org/10.1007/s00605-006-0423-7openalex-snapshot
Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I
inferredcites →https://doi.org/10.1016/b978-0-444-88071-0.50009-6openalex-snapshot
Kolmogorov Complexity and its Applications
inferredcites →https://doi.org/10.1016/s0019-9958(67)91165-5openalex-snapshot
Language identification in the limit
inferredcites →https://doi.org/10.1016/s0049-237x(08)71257-6openalex-snapshot
Church's Thesis and Principles for Mechanisms
inferredcites →https://doi.org/10.1016/s0049-237x(09)70507-5openalex-snapshot
Limitations to Mathematical Knowledge
inferredcites →https://doi.org/10.1017/cbo9780511565663openalex-snapshot
Varieties of Constructive Mathematics
inferredcites →https://doi.org/10.1017/cbo9780511813375.015openalex-snapshot
Zeno of Elea
inferredcites →https://doi.org/10.1017/s0025557200071461openalex-snapshot
An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)
inferredcites →https://doi.org/10.1063/1.2810599openalex-snapshot
The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics
inferredcites →https://doi.org/10.1063/1.3061041openalex-snapshot
The Nature of Some of Our Physical Concepts
inferredcites →https://doi.org/10.1080/00029890.1970.11992564openalex-snapshot
On the Foundations of Set Theory
inferredcites →https://doi.org/10.1086/289716openalex-snapshot
Forever is a Day: Supertasks in Pitowsky and Malament-Hogarth Spacetimes
inferredcites →https://doi.org/10.1086/psaprocbienmeetp.1994.1.193018openalex-snapshot
Non-Turing Computers and Non-Turing Computability
inferredcites →https://doi.org/10.1088/0031-9112/25/4/030openalex-snapshot
Classical Mechanics 2nd edn
inferredcites →https://doi.org/10.1088/0305-4470/19/18/002openalex-snapshot
Dimensional reduction via dimensional shadowing
inferredcites →https://doi.org/10.1090/s0273-0979-1993-00413-0openalex-snapshot
“Theoretical mathematics”: toward a cultural synthesis of mathematics and theoretical physics
inferredcites →https://doi.org/10.1093/analys/15.1.1openalex-snapshot
Tasks and Super-Tasks
inferredcites →https://doi.org/10.1093/oso/9780198519737.001.0001openalex-snapshot
The Emperor's New Mind
inferredcites →https://doi.org/10.1093/oso/9780199219858.001.0001openalex-snapshot
An Introduction To The Theory Of Numbers
inferredcites →https://doi.org/10.1103/physrevlett.48.1299openalex-snapshot
Resolution of the Einstein-Podolsky-Rosen and Bell Paradoxes
inferredcites →https://doi.org/10.1103/physrevlett.54.2553openalex-snapshot
Measuring the Dimension of Space-Time
inferredcites →https://doi.org/10.1103/revmodphys.57.617openalex-snapshot
Ergodic theory of chaos and strange attractors
inferredcites →https://doi.org/10.1109/mspec.1967.5215588openalex-snapshot
Wanted: a physically possible theory of physics
inferredcites →https://doi.org/10.1111/j.1468-0149.1969.tb00892.xopenalex-snapshot
MODERN SCIENCE AND ZENO'S PARADOXES
inferredcites →https://doi.org/10.1111/j.1749-6632.1995.tb39024.xopenalex-snapshot
On the Computational Power of Physical Systems, Undecidability, the Consistency of Phenomena, and the Practical Uses of Paradoxes
inferredcites →https://doi.org/10.1119/1.1932710openalex-snapshot
Reflections of a Physicist
inferredcites →https://doi.org/10.1137/1.9780898719673openalex-snapshot
Lectures on Finite Precision Computations
inferredcites →https://doi.org/10.1142/0531openalex-snapshot
Information, Randomness & Incompleteness
inferredcites →https://doi.org/10.1142/1048openalex-snapshot
Information, Randomness and Incompleteness
inferredcites →https://doi.org/10.1142/1524openalex-snapshot
Randomness and Undecidability in Physics
inferredcites →https://doi.org/10.1142/9789814503488_0018openalex-snapshot
The Unreasonable Effectiveness of Mathematics in the Natural Sciences
inferredcites →https://doi.org/10.1145/321850.321856openalex-snapshot
The Undecidability of the Existence of Zeros of Real Elementary Functions
inferredcites →https://doi.org/10.1209/0295-5075/2/2/002openalex-snapshot
Connections between Deviations from Lorentz Transformation and Relativistic Energy-Momentum Relation
inferredcites →https://doi.org/10.1515/zna-1981-0115openalex-snapshot
Strange Attractors, Chaotic Behavior, and Information Flow
inferredcites →https://doi.org/10.2307/2016092openalex-snapshot
The Nature of Physical Theory.
inferredcites →https://doi.org/10.2307/2023500openalex-snapshot
Tasks, Super-Tasks, and the Modern Eleatics
inferredcites →https://doi.org/10.2307/2103644openalex-snapshot
Reflections of a Physicist.
inferredcites →https://doi.org/10.2307/2181998openalex-snapshot
Philosophy of Mathematics and Natural Science.
inferredcites →https://doi.org/10.2307/2220357openalex-snapshot
Reflections on Kurt Godel.
inferredcites →https://doi.org/10.2307/j.ctv1t1kftdopenalex-snapshot
Philosophy of Mathematics and Natural Science
inferredcites →https://doi.org/10.5860/choice.27-2139aopenalex-snapshot
Quantum probability--quantum logic
inferredcites →https://doi.org/10.5860/choice.27-4496openalex-snapshot
The emperor's new mind concerning computers, minds, and the laws of physics
inferredcites →https://doi.org/10.5860/choice.34-3918openalex-snapshot
Lectures on finite precision computations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/3-211-37848-0_10openalex-snapshot
Computational Universes
inferred← citeshttps://doi.org/10.1007/s10701-005-7351-6openalex-snapshot
Towards a Coherent Theory of Physics and Mathematics: The Theory–Experiment Connection
inferred← citeshttps://doi.org/10.1007/s11229-022-03706-xopenalex-snapshot
Goals shape means: a pluralist response to the problem of formal representation in ontic structural realism
inferred← citeshttps://doi.org/10.1016/j.chaos.2004.11.055openalex-snapshot
Computational universes
inferred← citeshttps://doi.org/10.1016/s0960-0779(01)00115-1openalex-snapshot
On non-measurable sets and invariant tori
inferred← citeshttps://doi.org/10.1023/a:1016561108807openalex-snapshot
Towards a Coherent Theory of Physics and Mathematics
inferred← citeshttps://doi.org/10.1103/physreva.59.4223openalex-snapshot
Simple example of definitions of truth, validity, consistency, and completeness in quantum mechanics
inferred← citeshttps://doi.org/10.1111/j.1365-246x.1997.tb06595.xopenalex-snapshot
Are earthquakes predictable?
inferred← citeshttps://doi.org/10.1177/29767032251348589openalex-snapshot
(FAPP) Infinity Does Macroscopic Irreversibility from Microscopic Reversibility
inferred← citeshttps://doi.org/10.1515/9783110325461.491openalex-snapshot
Physics and Metaphysics Look at Computation
inferred← citeshttps://doi.org/10.48550/arxiv.physics/0508207openalex-snapshot
Physics and metaphysics looks at computation
inferred← citeshttps://doi.org/10.48550/arxiv.quant-ph/9510005openalex-snapshot
Quantum algorithmic information theory
inferred← citeshttps://doi.org/10.48550/arxiv.quant-ph/9710052openalex-snapshot
The Church-Turing thesis as a guiding principle for physics
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