Hilbert versus Hindman
Archive for Mathematical Logic 51 (1-2):123-125 (2012)
| Abstract |
We show that a statement HIL, which is motivated by a lemma of Hilbert and close in formulation to Hindman’s theorem, is actually much weaker than Hindman’s theorem. In particular, HIL is finitistically reducible in the sense of Hilbert’s program, while Hindman’s theorem is not
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| Keywords | Reverse mathematics Pigeonhole Conservation Finitism |
| Categories | (categorize this paper) |
| DOI | 10.1007/s00153-011-0257-4 |
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A Weak Variant of Hindman’s Theorem Stronger Than Hilbert’s Theorem.Lorenzo Carlucci - 2018 - Archive for Mathematical Logic 57 (3-4):381-389.
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