Keyword

continuum hypothesis

Description: A set-theoretic hypothesis stating that no set has cardinality strictly between the cardinality of the integers and that of the real numbers.

Primary topic: Advanced Topology and Set Theory (69%)

Wikidata ID: wiki/Q208416

OpenAlex ID: keywords/continuum-hypothesis

Set Theory and the Continuum Hypothesis

1966 · Paul J. Cohen · CERN Document Server (European Organization for Nuclear Research) · 897

Reconciling niche and neutrality: the continuum hypothesis

2006 · Dominique Gravel, Charles D. Canham, et al. · Ecology Letters · 830

What Is Mathematics?

1996 · Richard Courant, Herbert Robbins · 777

The Independence of the Continuum Hypothesis

1963 · Paul J. Cohen · Proceedings of the National Academy of Sciences · 748

Set Theory: On the Structure of the Real Line

1995 · Tomek Bartoszyński, Haim Judah · International Linear Collider · 546

The Consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory

1940 · Kurt Gödel · CERN Document Server (European Organization for Nuclear Research) · 537

Naturalism in Mathematics

2000 · Penelope Maddy · 420

Informal Rigour and Completeness Proofs

1967 · Georg Kreisel · Studies in logic and the foundations of mathematics · 401

Deterministic processes vary during community assembly for ecologically dissimilar taxa

2015 · Jeff R. Powell, Senani Karunaratne, et al. · Nature Communications · 400

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Realism in Mathematics

1992 · Penelope Maddy · 389

Iterated Cohen Extensions and Souslin's Problem

1971 · R. M. Solovay, S. Tennenbaum · Annals of Mathematics · 379

What is mathematics : an elementary approach to ideas and methods

1996 · Richard Courant, Herbert Robbins · International Linear Collider · 370

Measurable cardinals and the continuum hypothesis

1967 · A. Lévy, R. M. Solovay · Israel Journal of Mathematics · 345

Tree-graded spaces and asymptotic cones of groups

2005 · Cornelia Druţu, Mark Sapir · Topology · 318

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Citizenship and Counterproductive Behavior: Clarifying Relations Between the Two Domains

2006 · Paul R. Sackett, Christopher M. Berry, et al. · Human Performance · 301

The valves of the throat and their functioning in tone, vocal register and stress: laryngoscopic case studies

2006 · Jerold A. Edmondson, John H. Esling · Phonology · 298

Consistency of the Continuum Hypothesis. (AM-3)

1940 · Kurt Gödel · Princeton University Press eBooks · 273

Amino Acid Sequence Homology of Coat Proteins as a Basis for Identification and Classification of the Potyvirus Group

1988 · D. D. Shukla, C. W. Ward · Journal of General Virology · 270

Incidence and Significance of Mixed Affective States in a Bipolar Population

1976 · Jonathan M. Himmelhoch · Archives of General Psychiatry · 231

Mathematical Developments Arising from Hilbert Problems

1976 · Browder, Felix · Proceedings of symposia in pure mathematics · 230

The Set-theoretic Multiverse

2012 · JOEL DAVID HAMKINS · The Review of Symbolic Logic · 224

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Toposes, Algebraic Geometry and Logic

1972 · I. Bucur, J. Giraud, et al. · Lecture notes in mathematics · 222

Special Subsets of the Real Line

1984 · Arnold W. MILLER · Elsevier eBooks · 218

The Operational Significance of the Continuum Hypothesis in the Theory of Water Movement Through Soils and Aquifers

1984 · Philippe Baveye, Garrison Sposito · Water Resources Research · 213

Constructibility

1984 · Keith J. Devlin · Perspectives in mathematical logic · 211

Works count: 3,775

Citation count: 33,880