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Classical physics and Penrose's thesis

https://doi.org/10.1007/bf00665895
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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/malq.19630091802openalex-snapshot
Zwei Unentscheidbare Probleme Der Analysis
inferredcites →https://doi.org/10.1007/bf00671484openalex-snapshot
Undecidability and incompleteness in classical mechanics
inferredcites →https://doi.org/10.1016/0001-8708(81)90001-3openalex-snapshot
The wave equation with computable initial data such that its unique solution is not computable
inferredcites →https://doi.org/10.1093/comjnl/12.1.28openalex-snapshot
Theory of Recursive Functions and Effective Computability
inferredcites →https://doi.org/10.1093/oso/9780198519737.001.0001openalex-snapshot
The Emperor's New Mind
inferredcites →https://doi.org/10.1103/physrevlett.64.2354openalex-snapshot
Unpredictability and undecidability in dynamical systems
inferredcites →https://doi.org/10.1145/321850.321856openalex-snapshot
The Undecidability of the Existence of Zeros of Real Elementary Functions
inferredcites →https://doi.org/10.1515/9783110870299.168openalex-snapshot
Suppes Predicates for Classical Physics
inferredcites →https://doi.org/10.2307/2271358openalex-snapshot
Some undecidable problems involving elementary functions of a real variable
inferredcites →https://doi.org/10.2307/2273588openalex-snapshot
Universal diophantine equation
inferredcites →https://doi.org/10.2307/2316720openalex-snapshot
Theory of Recursive Functions and Effective Computability.

What points at this work

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

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Mathematical jujitsu: Some informal thoughts about G�del and physics
inferred← citeshttps://doi.org/10.1007/3-540-45833-6_2openalex-snapshot
Hypercomputation in the Chinese Room
inferred← citeshttps://doi.org/10.1007/978-3-319-70815-7openalex-snapshot
Physical (A)Causality: Determinism, Randomness and Uncaused Events
inferred← citeshttps://doi.org/10.1007/978-94-011-0776-1_7openalex-snapshot
Suppes Predicates and the Construction of Unsolvable Problems in the Axiomatized Sciences
inferred← citeshttps://doi.org/10.1007/978-94-015-8678-8_7openalex-snapshot
Structures, Suppes Predicates, and Boolean-Valued Models in Physics
inferred← citeshttps://doi.org/10.1007/978-94-017-3651-0_13openalex-snapshot
On Some Recent Undecidability and Incompleteness Results in the Axiomatized Sciences
inferred← citeshttps://doi.org/10.1007/bf00671031openalex-snapshot
Undecidable hopf bifurcation with undecidable fixed point
inferred← citeshttps://doi.org/10.1007/bf00675030openalex-snapshot
Dynamical system where proving chaos is equivalent to proving Fermat's conjecture
inferred← citeshttps://doi.org/10.1007/bf02054673openalex-snapshot
Two questions on the geometry of gauge fields
inferred← citeshttps://doi.org/10.1007/bfb0022563openalex-snapshot
On Arnol'd's Hilbert symposium problems
inferred← citeshttps://doi.org/10.1007/s11023-007-9058-2openalex-snapshot
Physical Computation: How General are Gandy’s Principles for Mechanisms?
inferred← citeshttps://doi.org/10.1007/s11023-013-9317-3openalex-snapshot
Practical Intractability: A Critique of the Hypercomputation Movement
inferred← citeshttps://doi.org/10.1007/s12043-023-02699-7openalex-snapshot
The undecidable charge gap and the oil drop experiment
inferred← citeshttps://doi.org/10.1016/b978-044451540-7/50032-3openalex-snapshot
Artificial intelligence
inferred← citeshttps://doi.org/10.1016/j.amc.2005.09.068openalex-snapshot
Embedding infinitely parallel computation in Newtonian kinematics
inferred← citeshttps://doi.org/10.1016/j.physrep.2025.06.004openalex-snapshot
Undecidability in physics: A review
inferred← citeshttps://doi.org/10.1016/j.tcs.2006.10.010openalex-snapshot
Can Newtonian systems, bounded in space, time, mass and energy compute all functions?
inferred← citeshttps://doi.org/10.1023/a:1004220919753openalex-snapshot
The Incompleteness of Theories of Games
inferred← citeshttps://doi.org/10.1023/a:1004920608415openalex-snapshot
Suppes Predicates for Meta-Ranking Structures
inferred← citeshttps://doi.org/10.1023/a:1015561807144openalex-snapshot
The Mathematical Role of Time and Space-Time in Classical Physics
inferred← citeshttps://doi.org/10.1023/a:1021364916624openalex-snapshot
Comments on `Two Undecidable Problems of Analysis'
inferred← citeshttps://doi.org/10.1080/00048409912348801openalex-snapshot
Beyond the universal Turing machine
inferred← citeshttps://doi.org/10.1093/analys/58.2.128openalex-snapshot
Turing's O-machines, Searle, Penrose and the brain
inferred← citeshttps://doi.org/10.1098/rspa.2007.1835openalex-snapshot
Experimental computation of real numbers by Newtonian machines
inferred← citeshttps://doi.org/10.1140/epjp/i2012-12065-3openalex-snapshot
Gravity and complexity
inferred← citeshttps://doi.org/10.1142/9789814327756_0008openalex-snapshot
Indeterminism and Randomness Through Physics
inferred← citeshttps://doi.org/10.1142/s1793005712400017openalex-snapshot
TAMING THE INCOMPUTABLE, RECONSTRUCTING THE NONCONSTRUCTIVE AND DECIDING THE UNDECIDABLE IN MATHEMATICAL ECONOMICS
inferred← citeshttps://doi.org/10.1177/0002764297040006003openalex-snapshot
The Broad Conception of Computation
inferred← citeshttps://doi.org/10.1201/b11610-4openalex-snapshot
A List of Problems
inferred← citeshttps://doi.org/10.1201/b11610-8openalex-snapshot
A List of Problems
inferred← citeshttps://doi.org/10.4018/jnmc.2010010103openalex-snapshot
Computational Model Based on Evolutionary Primitives
inferred← citeshttps://doi.org/10.4337/9781781952665.00009openalex-snapshot
A Computable Economist’s Perspective on Computational Complexity
inferred← citeshttps://doi.org/10.48550/arxiv.0705.1173openalex-snapshot
Effective Physical Processes and Active Information in Quantum Computing
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