Some Bounds for the Ramsey-Paris-Harrington Numbers We first introduce some appropriate notation. Lower case variables will alwa
Some Bounds for the Ramsey-Paris-Harrington Numbers We first introduce some appropriate notation. Lower case variables will alwa
Some Bounds for the Ramsey-Paris-Harrington Numbers We first introduce some appropriate notation. Lower case variables will alwa
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
![On the Proof Complexity of Paris-Harrington and Off-Diagonal Ramsey Tautologies | ACM Transactions on Computational Logic On the Proof Complexity of Paris-Harrington and Off-Diagonal Ramsey Tautologies | ACM Transactions on Computational Logic](https://dl.acm.org/cms/asset/0160c26a-0dcd-4643-a23f-81542eb5744d/2996393.cover.jpg)
On the Proof Complexity of Paris-Harrington and Off-Diagonal Ramsey Tautologies | ACM Transactions on Computational Logic
![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 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](https://pbs.twimg.com/media/D768tzBVUAIryIf.jpg)