04420nam 22008295 450 991015475420332120190708092533.01-4008-8163-310.1515/9781400881635(CKB)3710000000620063(MiAaPQ)EBC4738543(DE-B1597)468016(OCoLC)979633756(DE-B1597)9781400881635(EXLCZ)99371000000062006320190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierConsistency of the Continuum Hypothesis. (AM-3), Volume 3 /Kurt GödelPrinceton, NJ : Princeton University Press, [2016]©19411 online resource (81 pages)Annals of Mathematics Studies ;264Includes index.0-691-07927-7 Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER I. THE AXIOMS OF ABSTRACT SET THEORY -- CHAPTER II. EXISTENCE OF CLASSES AND SETS -- CHAPTER III. ORDINAL NUMBERS -- CHAPTER IV. CARDINAL NUMBERS -- CHAPTER V. THE MODEL Δ -- CHAPTER VI. PROOF OF THE AXIOMS OF GROUPS A-D FOR THE MODEL Δ -- CHAPTER VII. PROOF THAT V = L HOLDS IN THE MODEL Δ -- CHAPTER VIII. PROOF THAT V = L IMPLIES THE AXIOM OF CHOICE AND THE GENERALISED CONTINTUUM-HYPOTHESIS -- APPENDIX -- INDEX -- Notes Added to the Second Printing -- BIBLIOGRAPHYKurt 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.Annals of mathematics studies ;Number 3.MathematicsPhilosophyLogic, Symbolic and mathematicalAbsoluteness.Addition.Axiom of choice.Axiom of extensionality.Axiom of infinity.Axiom.Axiomatic system.Boolean algebra (structure).Constructible set (topology).Continuum hypothesis.Existence theorem.Existential quantification.Integer.Mathematical induction.Mathematical logic.Mathematics.Metatheorem.Order by.Ordinal number.Propositional function.Quantifier (logic).Reductio ad absurdum.Requirement.Set theory.Theorem.Transfinite induction.Transfinite.Variable (mathematics).Well-order.MathematicsPhilosophy.Logic, Symbolic and mathematical.510.1Gödel Kurt, 346201DE-B1597DE-B1597BOOK9910154754203321Consistency of the Continuum Hypothesis. (AM-3), Volume 32788041UNINA02647nam 2200457z- 450 991034675050332120210211(CKB)4920000000094209(oapen)https://directory.doabooks.org/handle/20.500.12854/55338(oapen)doab55338(EXLCZ)99492000000009420920202102d2018 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierOptimizing Miscanthus for the Sustainable Bioeconomy: From Genes to ProductsFrontiers Media SA20181 online resource (230 p.)Frontiers Research Topics2-88945-566-1 In this Research Topic we report advances in fundamental and applied aspects of the perennial C4 bioenergy crop Miscanthus (Miscanthus spp.) and its role in mitigating climate change as part of the bioeconomy. Miscanthus is extremely well suited for bioenergy, biofuel and bioproduct production over a wide geographic area including Europe and North America as well as its native Asia. </p><p>Miscanthus offers a unique perspective within plant science: the challenge is to domesticate this novel crop for diverse environments and uses while simultaneously developing sustainable value chains to displace fossil fuels and contribute to climate change mitigation. Contributions to this Research Topic were offered from leading Miscanthus researchers from different parts of the world. We accepted 16 articles from 95 authors, which have generated 21,161 views at March 26 2018. Nine of the articles are the output of the European FP7 OPTIMISC project and describe multiple experiments investigating a common set of Miscanthus genotypes in Europe and Asia. These papers are complemented by seven additional articles from global authors, providing a comprehensive analysis of the state of the art of Miscanthus research and application.Optimizing Miscanthus for the Sustainable BioeconomyBotany & plant sciencesbicsscbioeconomybiomass qualityLCAmiscanthusnitrogenperennial C4 grassphyto-remediationsalt-toleranceBotany & plant sciencesEmily A. Heatonauth1328795Luisa M. TrindadeauthKerrie FarrarauthBOOK9910346750503321Optimizing Miscanthus for the Sustainable Bioeconomy: From Genes to Products3038961UNINA