We present a result which is obtained by combining a result of Carlson with the Finitary Dual Ramsey Theorem of Graham-Rothschild. We start by introducing some notation. We confor...
: Jacobson, Levin, and Scheinerman introduced the fractional Ramsey function rf (a1,a2, ...,ak) as an extension of the classical definition for Ramsey numbers. They determined an e...
A Ramsey theory problem, that can be seen as a 2 dimensional extension of the Van der Waerden theorem, was posed by Martin J. Erickson in his book [1]: "find the minimum n su...
Denis Robilliard, Amine M. Boumaza, Virginie Mario...
The present paper offers some remarks on the significance of first order model theory for our understanding of theories, and more generally, for our understanding of the "stru...