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Can We Make the Second Incompleteness Theorem Coordinate Free?
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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.19680140702openalex-snapshot
Reflection Principles and their Use for Establishing the Complexity of Axiomatic Systems
inferredcites →https://doi.org/10.1007/bf01387407openalex-snapshot
The unprovability of small inconsistency
inferredcites →https://doi.org/10.1007/s00153-008-0087-1openalex-snapshot
Pairs, sets and sequences in first-order theories
inferredcites →https://doi.org/10.1016/0168-0072(87)90066-2openalex-snapshot
On the scheme of induction for bounded arithmetic formulas
inferredcites →https://doi.org/10.1016/j.apal.2009.02.001openalex-snapshot
The predicative Frege hierarchy
inferredcites →https://doi.org/10.1016/s0168-0072(96)00045-0openalex-snapshot
Induction rules, reflection principles, and provably recursive functions
inferredcites →https://doi.org/10.1016/s0304-3975(00)00109-2openalex-snapshot
Decidability of the theory of the natural integers with the cantor pairing function and the successor
inferredcites →https://doi.org/10.1090/s0002-9947-1983-0712260-2openalex-snapshot
Some Prime Elements in the Lattice of Interpretability Types
inferredcites →https://doi.org/10.2307/2274231openalex-snapshot
Cuts, consistency statements and interpretations
inferredcites →https://doi.org/10.2307/2275181openalex-snapshot
An inside view of EXP; or, The closed fragment of the provability logic of IΔ0 + Ω1 with a prepositional constant for EXP
inferredcites →https://doi.org/10.4064/fm-49-1-35-92openalex-snapshot
Arithmetization of metamathematics in a general setting
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/malq.201200102openalex-snapshot
Peano Corto and Peano Basso: A Study of Local Induction in the Context of Weak Theories
inferred← citeshttps://doi.org/10.1002/malq.201800088openalex-snapshot
The small‐is‐very‐small principle
inferred← citeshttps://doi.org/10.1007/978-3-030-53654-1_3openalex-snapshot
Extension and Interpretability
inferred← citeshttps://doi.org/10.1007/978-981-13-9949-7_1openalex-snapshot
Introduction and Preliminaries
inferred← citeshttps://doi.org/10.1007/s00153-010-0209-4openalex-snapshot
Intermediate Logics and the de Jongh property
inferred← citeshttps://doi.org/10.1007/s00153-013-0353-8openalex-snapshot
Interpretability degrees of finitely axiomatized sequential theories
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Essential hereditary undecidability
inferred← citeshttps://doi.org/10.1007/s10992-015-9366-6openalex-snapshot
A Note on Typed Truth and Consistency Assertions
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A Step Towards Absolute Versions of Metamathematical Results
inferred← citeshttps://doi.org/10.1007/s11225-012-9385-zopenalex-snapshot
The Second Incompleteness Theorem and Bounded Interpretations
inferred← citeshttps://doi.org/10.1016/j.apal.2015.11.002openalex-snapshot
Transductions in arithmetic
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CURRENT RESEARCH ON GÖDEL’S INCOMPLETENESS THEOREMS
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FINDING THE LIMIT OF INCOMPLETENESS I
inferred← citeshttps://doi.org/10.1017/s1755020314000549openalex-snapshot
CONSISTENCY AND THE THEORY OF TRUTH
inferred← citeshttps://doi.org/10.1017/s1755020319000248openalex-snapshot
ANOTHER LOOK AT THE SECOND INCOMPLETENESS THEOREM
inferred← citeshttps://doi.org/10.1017/s1755020320000192openalex-snapshot
ON THE INVARIANCE OF GÖDEL’S SECOND THEOREM WITH REGARD TO NUMBERINGS
inferred← citeshttps://doi.org/10.1093/logcom/exz004openalex-snapshot
From Tarski to Gödel—or how to derive the second incompleteness theorem from the undefinability of truth without self-reference
inferred← citeshttps://doi.org/10.1093/philmat/nkab034openalex-snapshot
On the Depth of Gödel’s Incompleteness Theorems
inferred← citeshttps://doi.org/10.1093/philmat/nkac022openalex-snapshot
Breaking the Tie: Benacerraf’s Identification Argument Revisited
inferred← citeshttps://doi.org/10.1093/philmat/nkt045openalex-snapshot
Predicative Frege Arithmetic and 'Everyday' Mathematics
inferred← citeshttps://doi.org/10.1112/blms.12708openalex-snapshot
Finitely axiomatized theories lack self‐comprehension
inferred← citeshttps://doi.org/10.1215/00294527-2798754openalex-snapshot
Uniform Density in Lindenbaum Algebras
inferred← citeshttps://doi.org/10.18494/sam.rap.2022.0012openalex-snapshot
Exploring the Foundational Significance of Gödelʼs Incompleteness Theorems
inferred← citeshttps://doi.org/10.2178/bsl/1344861888openalex-snapshot
Vaught's Theorem on Axiomatizability by a Scheme
inferred← citeshttps://doi.org/10.48550/arxiv.1602.05728openalex-snapshot
Some abstract versions of Gödel's second incompleteness theorem based on non-classical logics
inferred← citeshttps://doi.org/10.48550/arxiv.1902.05902openalex-snapshot
Gödel's incompleteness theorem and the Anti-Mechanist Argument: revisited
inferred← citeshttps://doi.org/10.48550/arxiv.2008.13142openalex-snapshot
On the depth of Gödel's incompleteness theorem
inferred← citeshttps://doi.org/10.48550/arxiv.2111.14413openalex-snapshot
Friedman-reflexivity: interpreters as consistoids
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