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Strong Statements of Analysis
Author(s) -
Mathias A. R. D.
Publication year - 2000
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609300217037
Subject(s) - mathematics , mathematical proof , irrational number , mathematics subject classification , set (abstract data type) , natural number , subject (documents) , discrete mathematics , calculus (dental) , computer science , medicine , geometry , dentistry , library science , programming language
Examples are discussed of natural statements about irrational numbers that are equivalent, provably in ZFC, to strong set‐theoretical hypotheses, and of apparently classical statements provable in ZFC of which the only known proofs use strong set‐theoretical concepts. 2000 Mathematics Subject Classification 03E65, 03E60, 03E45, 26A21, 28A05, 54H05, 54E50, 54E52, 91A99.