Inter-universal geometry と ABC予想 (応援スレ) 45at MATH
Inter-universal geometry と ABC予想 (応援スレ) 45 - 暇つぶし2ch910:Reverse_mathematics Reverse mathematics The program was founded by Harvey Friedman (1975, 1976) and brought forward by Steve Simpson. A standard reference for the subject is (Simpson 2009), while an introduction for non-specialists is (Stillwell 2018). An introduction to higher-order reverse mathematics, and also the founding paper, is (Kohlenbach (2005)). Contents 1 General principles 1.1 Use of second-order arithmetic 1.2 Use of higher-order arithmetic 2 The big five subsystems of second-order arithmetic 2.1 The base system RCA0 2.2 Weak K?nig's lemma WKL0 2.3 Arithmetical comprehension ACA0 2.4 Arithmetical transfinite recursion ATR0 2.5 Π11 comprehension Π11-CA0 3 Additional systems 4 ω-models and β-models




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