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Some Bounds for the Ramsey-Paris-Harrington Numbers We first introduce some appropriate notation. Lower case variables will alwa
Proof theory -- Paris-Harrington theorem | Whitman College
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AN UNPROVABLE RAMSEY-TYPE THEOREM only. The validity of FRT* for values p , k , n , and N will be denoted in short by N -U (n)&q
Paris-Harrington theorem – The Crusader
PDF) The Paris-Harrington Theorem in an NF context | Thomas Forster - Academia.edu
Paris-Harrington Theorem -- from Wolfram MathWorld
John Carlos Baez on Twitter: "@stubborncurias @wtgowers Briefly, Ramsey theory is connected to functions that grow so fast they can't be understood using Peano arithmetic! The proof of the Paris-Harrington theorem, sketched
PDF) Analytic determinacy and 0#. A forcing-free proof of Harrington's theorem
John Carlos Baez on Twitter: "@_julesh_ However, the Paris-Harrington theorem is unprovable in PA but provable in PA + [induction up to epsilon_0]. The ordinal epsilon_0 is isomorphic to the set of