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�ber die Existenz unabh�ngiger Axiomensysteme zu unendlichen Satzsystemen

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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/bf01454856openalex-snapshot

�ber Axiomensysteme f�r beliebige Satzsysteme

inferredcites →https://doi.org/10.1007/bf01459067openalex-snapshot

�ber Axiomensysteme f�r beliebige Satzsysteme

What points at this work

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

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Modus Ponens and Derivation from Horn Formulas

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From Consequence Operator to Universal Logic: A Survey of General Abstract Logic

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Metalogic, Schopenhauer and Universal Logic

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Popper’s Theory of Deductive Logic

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Popper’s Correspondence with Paul Bernays

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Peter Schroeder-Heister on Proof-Theoretic Semantics

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Proof-Theoretic Semantics: An Autobiographical Survey

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Grundlagen der Arithmetik, §17: Part 1. Frege’s Anticipation of the Deduction Theorem

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Eight Rules for Implication Elimination

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Sequent Calculus

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Logical Completeness

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Paul Hertz and the Origins of Structural Reasoning

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Formal Systems As Structures—A Bourbachic Architecture of Logic

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Paranormal Logics and the Theory of Bivaluations

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La Logique Mathématique en sa jeunesse

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Axiomatic Method and Category Theory

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Introduction

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New Axiomatic Method (Instead of Conclusion)

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Euclid: Doing and Showing

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Hilbert: Making It Formal

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Formal Axiomatic Method and the Twentieth Century Mathematics

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Lawvere: Pursuit of Objectivity

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Identity in Classical and Constructive Mathematics

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Identity Through Change, Category Theory and Homotopy Theory

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How Mathematical Concepts Get Their Bodies

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Categories Versus Structures

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A Cut-Like Inference in a Framework of Explicit Composition for Various Calculi of Natural Deduction

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On Gentzen’s Structural Completeness Proof

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Part I: A sketch of Gentzen’s life and work

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Part III: The original writings

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From Consequence Operator to Universal Logic: A Survey of General Abstract Logic

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Standard Natural Deduction

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In the Shadow of Incompleteness: Hilbert and Gentzen

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Paul Hertz’s Systems of Propositions As a Proof-Theoretical Conception of Logic

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Jaśkowski and Gentzen Approaches to Natural Deduction and Related Systems

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A Century of Inference: 1837–1936

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Between Hilbert and Gentzen: four-valued consequence systems and structural reasoning

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Paul Hertz’ contribution to proof theory: normal-form results for deductions

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Consequence Mining

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From Axiomatic Logic to Natural Deduction

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A Survey of Nonstandard Sequent Calculi

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Analyticity, Balance and Non-admissibility of $$\varvec{Cut}$$ Cut in Stoic Logic

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Eight Inference Rules for Implication

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The Explosion Calculus

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Semantic Values for Natural Deduction Derivations

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How Mathematical Concepts Get Their Bodies

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Steps Towards a Proof-Theoretical Semantics

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Structuralist Logic: Implications, Inferences, and Consequences

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Nonmonotonic reasoning, preferential models and cumulative logics

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A History of The Consequence Relations

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A History of Truth-Values

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Bibliography

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Gentzen’s Logic

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EARLY STRUCTURAL REASONING. GENTZEN 1932

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Cut as Consequence

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Popper's Notion of Duality and His Theory of Negations

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The Context of Inference

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Stoic Sequent Logic and Proof Theory

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The Role of Structural Reasoning in the Genesis of Graph Theory

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On the Graphical Representation of Proofs as Trees

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Bi-intuitionistic implication structures

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The Development of Mathematical Logic from Russell to Tarski, 1900–1935

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On the Adequacy of a Substructural Logic for Mathematics and Science

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Weakening of Intuitionistic Negation for Many-valued Paraconsistent da Costa System

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Rule-Irredundancy and the Sequent Calculus for Core Logic

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Lattice-ordered groups generated by an ordered group and regular systems of ideals

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Reinhard Kahle, Michael Rathjen (eds.): “Gentzen’s Centenary, The Quest for Consistency”

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Resolution and the Origins of Structural Reasoning: Early Proof-Theoretic Ideas of Hertz and Gentzen

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In the Shadows of the Löwenheim-Skolem Theorem: Early Combinatorial Analyses of Mathematical Proofs

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Gentzen's Proof Systems: Byproducts in a Work of Genius

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Autoreferential semantics for many-valued modal logics

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A New Representation Theorem for Many-valued Modal Logics

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Binary Sequent Calculi for Truth-invariance Entailment of Finite Many-valued Logics

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