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The use of abstract language in elementary metamathematics: Some pedagogic examples

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What this work says

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

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Reflection Principles and their Use for Establishing the Complexity of Axiomatic Systems
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Die Widerspruchsfreiheit der allgemeinen Mengenlehre
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Mehrsortige logische Systeme mit unendlich langen Formeln I
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Lectures on proof theory
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CONTINUOUS MODEL THEORY
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Iterated Inductive Definitions and Σ21-AC
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A Survey of Proof Theory II
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Hauptsatz for the Intuitionistic Theory of Iterated Inductive Definitions
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On Simple Type Theory with Extensionality
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The Collected Papers of Gerhard Gentzen
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Algebras of sets binumerable in complete extensions of arithmetic
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False lemmas in Herbrand
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Π⁰₁ classes and degrees of theories
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Zermelo's set theory and G^*LC
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Continuous Model Theory. (AM-58)
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The Collected Papers of Gerhard Gentzen
inferredcites →https://doi.org/10.2307/2270324openalex-snapshot
A survey of proof theory
inferredcites →https://doi.org/10.2307/2271438openalex-snapshot
Many-valued logics of extended Gentzen style II
inferredcites →https://doi.org/10.2307/2272902openalex-snapshot
Note on the fan theorem
inferredcites →https://doi.org/10.2307/2963525openalex-snapshot
Syntactical and semantical properties of simple type theory
inferredcites →https://doi.org/10.2307/2964336openalex-snapshot
Sentences true in all constructive models
inferredcites →https://doi.org/10.3792/pja/1195521329openalex-snapshot
Simple type theory of Gentzen style with the inference of extensionality
inferredcites →https://doi.org/10.4064/fm-90-2-159-172openalex-snapshot
On an extremely restricted ω-rule

What points at this work

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

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Non-deterministic Epsilon Substitution Method for PA and ID 1
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A Characterisation of Definable NP Search Problems in Peano Arithmetic
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Countable Version of Omega-Rule
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Intuitive Proofs and First-Order Derivations: Some Notes on the Metamathematics of First-Order Number Theory
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Some Facts from the Theory of Proofs and Some Fictions from General Proof Theory
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Calculi for Classical Logic
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What can be done with PRA?
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Further applications of ultra-conservative ω-rules
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Observations on a recent generalization of completeness theorems due to Schütte
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On the Methodology of Informal Rigour: Set Theory, Semantics, and Intuitionism
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Fragments of arithmetic
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Continuous normalization for the lambda-calculus and Gödel’s T
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Infinite Rules in Finite Systems
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Complexity of Derivations from Quantifier-Free Horn Formulae, Mechanical Introduction of Explicit Definitions, and Refinement of Completeness Theorems
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The Use of Ordinals in the Constructive Foundations of Mathematics
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THE PREHISTORY OF THE SUBSYSTEMS OF SECOND-ORDER ARITHMETIC
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A Finite Semantics of Simply-Typed Lambda Terms for Infinite Runs of Automata
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European Summer Meeting of the Association for Symbolic Logic
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Effective bounds from ineffective proofs in analysis: An application of functional interpretation and majorization
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On the computational complexity of cut-reduction
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