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Foundations for analysis and proof theory

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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-642-86894-8_1openalex-snapshot
Das Problem der Widerspruchsfreiheit in der Axiomatik als logisches Entscheidungsproblem
inferredcites →https://doi.org/10.1007/978-3-662-28615-9openalex-snapshot
Hilbert
inferredcites →https://doi.org/10.1007/978-3-662-38452-7_14openalex-snapshot
Hilberts Untersuchungen über die Grundlagen der Arithmetik
inferredcites →https://doi.org/10.1007/978-3-663-15954-4openalex-snapshot
Grundlagen der Geometrie
inferredcites →https://doi.org/10.1007/978-3-663-16102-8openalex-snapshot
Die Grundlagen der Mathematik
inferredcites →https://doi.org/10.1007/bf01201353openalex-snapshot
Untersuchungen �ber das logische Schlie�en. I
inferredcites →https://doi.org/10.1007/bf01449999openalex-snapshot
Untersuchungen �ber die Grundlagen der Mengenlehre. I
inferredcites →https://doi.org/10.1007/bf01457953openalex-snapshot
Die Grundlegung der elementaren Zahlenlehre
inferredcites →https://doi.org/10.1007/bf01591620openalex-snapshot
Die Bedeutung Hilberts für die Philosophie der Mathematik
inferredcites →https://doi.org/10.1007/bfb0091894openalex-snapshot
Iterated Inductive Definitions and Subsystems of Analysis: Recent Proof-Theoretical Studies
inferredcites →https://doi.org/10.1007/bfb0091895openalex-snapshot
Inductive definitions and subsystems of analysis
inferredcites →https://doi.org/10.1016/s0049-237x(08)70761-4openalex-snapshot
Formal Theories for Transfinite Iterations of Generalized Inductive Definitions and Some Subsystems of Analysis
inferredcites →https://doi.org/10.1016/s0049-237x(08)70769-9openalex-snapshot
Iterated Inductive Definitions and Σ21-AC
inferredcites →https://doi.org/10.1016/s0049-237x(08)71126-1openalex-snapshot
Theories of Finite Type Related to Mathematical Practice
inferredcites →https://doi.org/10.1080/01445348008837006openalex-snapshot
Beyond first-order logic: the historical interplay between mathematical logic and axiomatic set theory
inferredcites →https://doi.org/10.1112/blms/5.3.342openalex-snapshot
Bertrand Russell, as Mathematician
inferredcites →https://doi.org/10.1515/9783110875560-003openalex-snapshot
BEMERKUNGEN ZU LORENZEN'S STELLUNGNAHME IN DER PHILOSOPHIE DER MATHEMATIK
inferredcites →https://doi.org/10.1515/9783110875560-008openalex-snapshot
A MORE PERSPICUOUS FORMAL SYSTEM FOR PREDICATIVITY
inferredcites →https://doi.org/10.1515/9783112451144openalex-snapshot
Das Kontinuum
inferredcites →https://doi.org/10.1515/crll.1887.101.337openalex-snapshot
Ueber den Zahlbegriff.
inferredcites →https://doi.org/10.2307/2269764openalex-snapshot
Systems of predicative analysis
inferredcites →https://doi.org/10.2307/2270132openalex-snapshot
Functionals defined by transfinite recursion
inferredcites →https://doi.org/10.2307/2270324openalex-snapshot
A survey of proof theory
inferredcites →https://doi.org/10.2307/j.ctt130hk3wopenalex-snapshot
Two Applications of Logic to Mathematics
inferredcites →https://doi.org/10.4064/fm-25-1-136-146openalex-snapshot
Grundlagen einer allgemeinen Theorie der mathematischen Satzsysteme

What points at this work

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

inferred← citeshttps://doi.org/10.1007/3-540-18170-9_179openalex-snapshot
Relative konsistenz
inferred← citeshttps://doi.org/10.1007/978-1-4020-8926-8_19openalex-snapshot
Beyond Hilbert’s Reach?
inferred← citeshttps://doi.org/10.1007/978-94-009-2476-5_12openalex-snapshot
Reflections on Hilbert’s Program
inferred← citeshttps://doi.org/10.1007/978-94-011-5690-5_11openalex-snapshot
Aspects of Mathematical Experience
inferred← citeshttps://doi.org/10.1007/978-94-017-2796-9_5openalex-snapshot
Toward Finitist Proof Theory
inferred← citeshttps://doi.org/10.1007/bf00485379openalex-snapshot
Relative consistency and accessible domains
inferred← citeshttps://doi.org/10.1007/s40961-016-0089-zopenalex-snapshot
A Pluralist Foundation of the Mathematics of the First Half of the Twentieth Century
inferred← citeshttps://doi.org/10.1017/s0022481200028292openalex-snapshot
Hilbert's program sixty years later
inferred← citeshttps://doi.org/10.1023/a:1026287119565openalex-snapshot
Hilbert's Program Revisited
inferred← citeshttps://doi.org/10.2307/2275269openalex-snapshot
Hilbert's program and the omega-rule
inferred← citeshttps://doi.org/10.2307/421139openalex-snapshot
Hilbert's Programs: 1917–1922
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