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Zur Deutung der intuitionistischen Logik

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Kolmogorov Against Gödel: A Historiographical View on Intuitionism between Soviet, Chinese, and International Mathematics, 1949-1967
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Science as A Triumph of the Human Spirit and Science in Crisis: Husserl and the Fortunes of Reason
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Constructive Type Theory
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Intuitionistic Logic
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[Russian Text Ignored]
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Untersuchungen über den Einstelligen Intuitionistischen Prädikatenkalkül der Ersten Stufe
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Mathematics and Dialectics in the Soviet Union: The Pre-Stalin Period
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Provability Logic
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Kripke Models, Distributive Lattices, and Medvedev Degrees
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What are the gains of the theory of algorithms
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Role of a notion of algorithm in the arithmetic language semantics
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On the Logic of the Standard Proof Predicate
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Variants of Realizability for Propositional Formulas and the Logic of the Weak Law of Excluded Middle
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On connections between classical and constructive semantics
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Towards the theory of programming in constructive logic
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Kolmogorov complexity: Recent research in Moscow
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On Two Models of Provability
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The Writing of Introduction to Metamathematics
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In the Beginning was Game Semantics?
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On the Early History of Intuitionistic Logic
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From Mathesis Universalis to Provability, Computability, and Constructivity
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21st Century Virology: Critical Steps
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Weihrauch Complexity in Computable Analysis
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Knowledge as an Epistemological and Logical Concept
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An Application of the Yankov Characteristic Formulas
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Valid Arguments and Proofs
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Platonism and the Proto-ontology of Mathematics: Learning from the Axiom of Choice
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Retracing Some Paths in Categorical Semantics: From Process-Propositions-as-Types to Categorified Reals and Computers
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Varieties of Semantical Anti-realism
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Peter Schroeder-Heister on Proof-Theoretic Semantics
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Kolmogorov and the General Theory of Problems
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Natural constructive proofs of A via A -> B, proof paradoxes, and impredicativity
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La Logique Mathématique en sa jeunesse
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Constructibility and Geometry
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Realist Consequence, Epistemic Inference, Computational Correctness
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Degrees of Unsolvability: A Tutorial
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Automath Type Inclusion in Barendregt’s Cube
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Advances in Proof-Theoretic Semantics
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Kreisel’s Theory of Constructions, the Kreisel-Goodman Paradox, and the Second Clause
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On the Paths of Categories
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Perennial Intuitionism
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Proof and Assertion
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Structuring Interactions
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Non-Boolean Descriptions
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Tiered Arithmetics
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Overview of Formal Methods
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Logics of (Formal and Informal) Provability
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The Philosophy of Mathematical Education Between Platonism and the Computer
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Logik und Dialektik Zum Projekt einer Theorie des Argumentierens
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Kolmogorov’s Heritage in Mathematics
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Kolmogorov’s contribution to intuitionistic logic
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Justification Logic
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Sixty Years of Stable Models
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Intuitionistic Logic and Computability Theory
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Problem
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Ausblick
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Formalizing Decidability Theorems About Automata
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Von der Beweistheorie zu maschinellen Beweisassistenten
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Von der Beweistheorie zu maschinellen Beweisassistenten
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Verständliche Künstliche Intelligenz in Assistenzsystemen an Mensch-System-Schnittstellen
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Positive Formulas in Intuitionistic and Minimal Logic
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Menger’s Ergebnisse — a biographical introduction
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Computerizing Mathematics: Logic and Computation
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A Few Historical Glimpses into the Interplay Between Algebra and Logic and Investigations into Gautama Algebras
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A Few Historical Glimpses into the Interplay Between Algebra and Logic and Investigations into Gautama Algebras
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Proofs Verifying Programs and Programs Producing Proofs: A Conceptual Analysis
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Intentionality, Intuition, and Proof in Mathematics
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On Principles in Sadi Carnot’s Thermodynamics
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The Pragmatic Understanding of Language and the Argumentative Function of Logic
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Rules Versus Theorems
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Mathematical Intuition
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F
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The Philosophy of Arithmetic: Frege and Husserl
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Intentionality, Intuition and the Computational Theory of Mind
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Tarski and Leśniewski on Languages with Meaning Versus Languages without Use
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De Bruijn’s Automath and Pure Type Systems
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Program Synthesis
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Realizability and Intuitionistic Logic
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On Principles in Sadi Carnot’s Thermodynamics
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Quantales for Uncertainty in Design Engineering
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Constructions, proofs and the meaning of logical constants
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Modal companions of intermediate propositional logics
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Modal counterparts of Medvedev logic of finite problems are not finitely axiomatizable
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Realizability and intuitionistic logic
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Proof theory and complexity
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Phenomenology and mathematical knowledge
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Scientific problems and questions from a logical point of view
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Application of proof theory to the problem of construction of correct programs
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On superintuitionistic logics as fragments of proof logic extensions
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Propositions and specifications of programs in Martin-Löf's type theory
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Nieklasyczne rachunki zdań a met odologiczne schematy badania naukowego i definicje pojęć asertywnych
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Automatical synthesis of programs with recursions
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Lectures on intuitionism
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Realizability: A retrospective survey
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Intuitionistic logic and Muchnik degrees
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The taming of recurrences in computability logic through cirquent calculus, Part I
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Topological Quantum Gates in Homotopy Type Theory
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Equivalence of Problems (An Attempt at an Explication of Problem)
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Some Obstacles Facing a Semantic Foundation for Constructive Mathematics
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Inquisitive Logic
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Proof-Theoretic Semantics and Inquisitive Logic
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Finite problems and the logic of the weak law of excluded middle
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Kripke Models, Distributive Lattices, and Medvedev Degrees
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Some Modifications of Carnap’s Modal Logic
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First-Order Logic in the Medvedev Lattice
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Enrico Martino, Intuitionistic Proof Versus Classical Truth: The Role of Brouwer’s Creative Subject in Intuitionistic Mathematics, Springer, 2018
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The Logic ILP for Intuitionistic Reasoning About Probability
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From Proof-Theoretic Validity to Base-Extension Semantics for Intuitionistic Propositional Logic
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A Logic of Knowledge and Justifications, with an Application to Computational Trust
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Notes on Constructive Negation
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A Theory of Belief for Scientific Refutations
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Semantic Foundations of Reductive Reasoning
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Logics of Proof-Theoretic Validity
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Structuring Co-constructive Logic for Proofs and Refutations
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An Intuitionist Reasoning Upon Formal Intuitionist Logic: Logical Analysis of Kolmogorov’s 1932 Paper
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A Pluralist Foundation of the Mathematics of the First Half of the Twentieth Century
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Justification of the structural synthesis of programs
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Constructive system for automatic program synthesis
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A constructive view of PROLOG
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Recursively Defined Types in Constructive Type Theory
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Non-Classical Logics and Logical Pluralism
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CONSTRUCTIVISM IN MATHEMATICS
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Is Logic Empirical?
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The intuitionistic fragment of computability logic at the propositional level
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On the unity of duality
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Effectively closed mass problems and intuitionism
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Intuitionistic completeness of first-order logic
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CHR: A Constructive Relevant Natural-deduction Logic
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States on semi-divisible generalized residuated lattices reduce to states on MV-algebras
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Sequential operators in computability logic
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Editorial
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A foundation for support theory based on a non-Boolean event space
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Theoretical computer science and the natural sciences
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Toggling operators in computability logic
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Intuitionistic logic
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Bibliography
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What is the philosophical basis of intuitionistic mathematics?
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Bibliography
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Calculable Natural Numbers
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Bibliography
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Bibliography
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Bibliography
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Bibliography
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Bibliography
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Bibliography
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Constructive Mathematics and Computer Programming
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Thirty Years of Foundational Studies Lectures on the Development of Mathematical Logic and the Study of the Foundations of Mathematics in 1930–1964
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Bibliography
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Logical operations and Kolmogorov complexity
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From constructivism to computer science
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16 Modal logic in mathematics
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Uniform provability realization of intuitionistic logic, modality and λ-terms
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A Notion of Classical Pure Type System (Preliminary version)
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The Logic of Brouwer and Heyting
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Gödel's Logic
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Gentzen’s Logic
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Justification Logic
inferred← citeshttps://doi.org/10.1017/9781108348034.001openalex-snapshot
Introduction
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Why Justification Logic?
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The Basics of Justification Logic
inferred← citeshttps://doi.org/10.1017/9781108348034.004openalex-snapshot
The Ontology of Justifications
inferred← citeshttps://doi.org/10.1017/9781108348034.005openalex-snapshot
Fitting Models
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Sequents and Tableaus
inferred← citeshttps://doi.org/10.1017/9781108348034.007openalex-snapshot
Realization – How It Began
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Realization – Generalized
inferred← citeshttps://doi.org/10.1017/9781108348034.009openalex-snapshot
The Range of Realization
inferred← citeshttps://doi.org/10.1017/9781108348034.010openalex-snapshot
Arithmetical Completeness and BHK Semantics
inferred← citeshttps://doi.org/10.1017/9781108348034.011openalex-snapshot
Quantifiers in Justification Logic
inferred← citeshttps://doi.org/10.1017/9781108348034.012openalex-snapshot
Going Past Modal Logic
inferred← citeshttps://doi.org/10.1017/9781108348034.013openalex-snapshot
Index
inferred← citeshttps://doi.org/10.1017/9781108674485openalex-snapshot
Mathematical Intuitionism
inferred← citeshttps://doi.org/10.1017/cbo9780511498589openalex-snapshot
Phenomenology, Logic, and the Philosophy of Mathematics
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Introduction: Themes and Issues
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Science as a Triumph of the Human Spirit and Science in Crisis: Husserl and the Fortunes of Reason
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.003openalex-snapshot
Mathematics and Transcendental Phenomenology
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.004openalex-snapshot
Free Variation and the Intuition of Geometric Essences: Some Reflections on Phenomenology and Modern Geometry
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.005openalex-snapshot
Kurt Gödel and Phenomenology
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.006openalex-snapshot
Gödel's Philosophical Remarks on Logic and Mathematics
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.007openalex-snapshot
Gödel's Path from the Incompleteness Theorems (1931) to Phenomenology (1961)
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.008openalex-snapshot
Gödel and the Intuition of Concepts
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.009openalex-snapshot
Gödel and Quine on Meaning and Mathematics
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.010openalex-snapshot
Maddy on Realism in Mathematics
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.011openalex-snapshot
Penrose on Minds and Machines
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.012openalex-snapshot
Intuitionism, Meaning Theory, and Cognition
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.013openalex-snapshot
The Philosophical Background of Weyl's Mathematical Constructivism
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.014openalex-snapshot
Proofs and Fulfillable Mathematical Intentions
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.015openalex-snapshot
Logicism, Impredicativity, Formalism: Some Remarks on Poincaré and Husserl
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.016openalex-snapshot
The Philosophy of Arithmetic: Frege and Husserl
inferred← citeshttps://doi.org/10.1017/cbo9780511498589.017openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1017/cbo9780511910616.009openalex-snapshot
History of constructivism in the 20th century
inferred← citeshttps://doi.org/10.1017/cbo9781139031905openalex-snapshot
Proofs and Computations
inferred← citeshttps://doi.org/10.1017/s0960129524000343openalex-snapshot
Groupoidal realizability for intensional type theory
inferred← citeshttps://doi.org/10.1017/s1755020313000051openalex-snapshot
BROUWER’S WEAK COUNTEREXAMPLES AND TESTABILITY: FURTHER REMARKS
inferred← citeshttps://doi.org/10.1023/a:1004881914911openalex-snapshot
Five Observations Concerning the Intended Meaning of the Intuitionistic Logical Constants
inferred← citeshttps://doi.org/10.1023/a:1008266418092openalex-snapshot
Implicit Epistemic Aspects of Constructive Logic
inferred← citeshttps://doi.org/10.1023/a:1008780817617openalex-snapshot
Timing Analysis of Combinational Circuits in Intuitionistic Propositional Logic
inferred← citeshttps://doi.org/10.1023/a:1021247624209openalex-snapshot
Gödel And The Intuition Of Concepts
inferred← citeshttps://doi.org/10.1023/a:1022937306253openalex-snapshot
Intensional Completeness in an Extension of Gödel/Dummett Logic
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