Random reals, the rainbow Ramsey theorem, and arithmetic conservation
نویسندگان
چکیده
منابع مشابه
Random reals, the rainbow Ramsey theorem, and arithmetic conservation
We investigate the question “To what extent can random reals be used as a tool to establish number theoretic facts?” Let 2-RAN be the principle that for every real X there is a real R which is 2-random relative to X . In Section 2, we observe that the arguments of Csima and Mileti [3] can be implemented in the base theory RCA0 and so RCA0 +2-RAN implies the Rainbow Ramsey Theorem. In Section 3,...
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ژورنال
عنوان ژورنال: The Journal of Symbolic Logic
سال: 2013
ISSN: 0022-4812,1943-5886
DOI: 10.2178/jsl.7801130