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math.CO2023
Big Ramsey Degrees of Countable Ordinals
Joanna Boyland, William Gasarch, Nathan Hurtig +1
Ramsey's theorem states that for all finite colorings of an infinite set, there exists an infinite homogeneous subset. What if we seek a homogeneous subset that is also order-equiv…
math.NT2023★ 4 cited
Fermat's Last Theorem, Schur's Theorem (in Ramsey Theory), and the Infinitude of the Primes
William Gasarch
Alpoge and Granville (separately) gave novel proofs that the primes are infinite that use Ramsey Theory. In particular, they use Van der Waerden's Theorem and some number theory. W…