Consistency of the Continuum Hypothesis. (AM-3), Volume 3
By Kurt Gödel
()
About this ebook
Kurt Gödel, mathematician and logician, was one of the most influential thinkers of the twentieth century. Gödel fled Nazi Germany, fearing for his Jewish wife and fed up with Nazi interference in the affairs of the mathematics institute at the University of Göttingen. In 1933 he settled at the Institute for Advanced Study in Princeton, where he joined the group of world-famous mathematicians who made up its original faculty.
His 1940 book, better known by its short title, The Consistency of the Continuum Hypothesis, is a classic of modern mathematics. The continuum hypothesis, introduced by mathematician George Cantor in 1877, states that there is no set of numbers between the integers and real numbers. It was later included as the first of mathematician David Hilbert's twenty-three unsolved math problems, famously delivered as a manifesto to the field of mathematics at the International Congress of Mathematicians in Paris in 1900. In The Consistency of the Continuum Hypothesis Gödel set forth his proof for this problem.
In 1999, Time magazine ranked him higher than fellow scientists Edwin Hubble, Enrico Fermi, John Maynard Keynes, James Watson, Francis Crick, and Jonas Salk. He is most renowned for his proof in 1931 of the 'incompleteness theorem,' in which he demonstrated that there are problems that cannot be solved by any set of rules or procedures. His proof wrought fruitful havoc in mathematics, logic, and beyond.
Read more from Kurt Gödel
Dover Books on Mathematics
Related to Consistency of the Continuum Hypothesis. (AM-3), Volume 3
Titles in the series (100)
A Theory of Cross-Spaces. (AM-26), Volume 26 Rating: 0 out of 5 stars0 ratingsThe Two-Valued Iterative Systems of Mathematical Logic. (AM-5), Volume 5 Rating: 0 out of 5 stars0 ratingsDegree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 Rating: 0 out of 5 stars0 ratingsConvergence and Uniformity in Topology. (AM-2), Volume 2 Rating: 0 out of 5 stars0 ratingsAlgebraic Theory of Numbers. (AM-1), Volume 1 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Nonlinear Oscillations (AM-20), Volume I Rating: 0 out of 5 stars0 ratingsLectures on Differential Equations. (AM-14), Volume 14 Rating: 0 out of 5 stars0 ratingsAn Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 Rating: 0 out of 5 stars0 ratingsMetric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) Rating: 0 out of 5 stars0 ratingsAutomata Studies. (AM-34), Volume 34 Rating: 5 out of 5 stars5/5The Calculi of Lambda-Conversion (AM-6), Volume 6 Rating: 4 out of 5 stars4/5Consistency of the Continuum Hypothesis. (AM-3), Volume 3 Rating: 0 out of 5 stars0 ratingsFinite Dimensional Vector Spaces. (AM-7), Volume 7 Rating: 4 out of 5 stars4/5Topics in Topology. (AM-10), Volume 10 Rating: 0 out of 5 stars0 ratingsProbleme General de la Stabilite du Mouvement. (AM-17), Volume 17 Rating: 0 out of 5 stars0 ratingsIntroduction to Non-Linear Mechanics. (AM-11), Volume 11 Rating: 0 out of 5 stars0 ratingsTopological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Nonlinear Oscillations (AM-45), Volume V Rating: 0 out of 5 stars0 ratingsTranscendental Numbers. (AM-16) Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Games (AM-24), Volume I Rating: 0 out of 5 stars0 ratingsFunctional Operators (AM-22), Volume 2: The Geometry of Orthogonal Spaces. (AM-22) Rating: 0 out of 5 stars0 ratingsExistence Theorems in Partial Differential Equations. (AM-23), Volume 23 Rating: 0 out of 5 stars0 ratingsOrder-Preserving Maps and Integration Processes. (AM-31), Volume 31 Rating: 0 out of 5 stars0 ratingsMeromorphic Functions and Analytic Curves. (AM-12) Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Nonlinear Oscillations (AM-29), Volume II Rating: 0 out of 5 stars0 ratingsCurvature and Betti Numbers. (AM-32), Volume 32 Rating: 0 out of 5 stars0 ratingsAn Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 Rating: 0 out of 5 stars0 ratingsContributions to Fourier Analysis. (AM-25) Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Games (AM-39), Volume III Rating: 0 out of 5 stars0 ratingsLectures on the Theory of Games (AM-37) Rating: 1 out of 5 stars1/5
Related ebooks
On Formally Undecidable Propositions of Principia Mathematica and Related Systems Rating: 4 out of 5 stars4/5Abstract Sets and Finite Ordinals: An Introduction to the Study of Set Theory Rating: 3 out of 5 stars3/5Theory of Categories Rating: 0 out of 5 stars0 ratingsMorse Theory. (AM-51), Volume 51 Rating: 4 out of 5 stars4/5Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 Rating: 0 out of 5 stars0 ratingsLectures on Ergodic Theory Rating: 0 out of 5 stars0 ratingsThe Calculi of Lambda-Conversion (AM-6), Volume 6 Rating: 4 out of 5 stars4/5Topology Rating: 4 out of 5 stars4/5Axiomatics of Classical Statistical Mechanics Rating: 5 out of 5 stars5/5The Classical Groups: Their Invariants and Representations (PMS-1) Rating: 4 out of 5 stars4/5Proof Theory: Second Edition Rating: 0 out of 5 stars0 ratingsAn Introduction to the Theory of Groups Rating: 0 out of 5 stars0 ratingsAlgebraic Methods in Statistical Mechanics and Quantum Field Theory Rating: 0 out of 5 stars0 ratingsRecursive Analysis Rating: 0 out of 5 stars0 ratingsElementary Differential Topology. (AM-54), Volume 54 Rating: 4 out of 5 stars4/5III: Scattering Theory Rating: 0 out of 5 stars0 ratingsThe Death of Philosophy: Reference and Self-reference in Contemporary Thought Rating: 0 out of 5 stars0 ratingsDegrees of Unsolvability. (AM-55), Volume 55 Rating: 0 out of 5 stars0 ratingsCategories, Allegories Rating: 4 out of 5 stars4/5Differential Geometry, Lie Groups, and Symmetric Spaces Rating: 0 out of 5 stars0 ratingsMarkov Processes and Learning Models Rating: 0 out of 5 stars0 ratingsAutomata, Languages, and Machines Rating: 4 out of 5 stars4/5On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 Rating: 0 out of 5 stars0 ratingsTheory of Probability: A critical introductory treatment Rating: 0 out of 5 stars0 ratingsAlgebra of Proofs Rating: 5 out of 5 stars5/5Cantor, Russell, and ZFC Rating: 5 out of 5 stars5/5Wittgenstein's Lectures on the Foundations of Mathematics, Cambridge, 1939 Rating: 4 out of 5 stars4/5A Panorama of Pure Mathematics, As Seen by N. Bourbaki Rating: 0 out of 5 stars0 ratingsTopoi: The Categorial Analysis of Logic Rating: 5 out of 5 stars5/5
Mathematics For You
Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Calculus For Dummies Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Geometry For Dummies Rating: 5 out of 5 stars5/5Basic Math Notes Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Elements of Euclid for the Use of Schools and Colleges (Illustrated) Rating: 0 out of 5 stars0 ratingsThe Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Is God a Mathematician? Rating: 4 out of 5 stars4/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsRelativity: The special and the general theory Rating: 5 out of 5 stars5/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5GED® Math Test Tutor, 2nd Edition Rating: 0 out of 5 stars0 ratingsAlgebra I For Dummies Rating: 4 out of 5 stars4/5
Reviews for Consistency of the Continuum Hypothesis. (AM-3), Volume 3
0 ratings0 reviews