Muticolor if n=R(k,l),for any 2-coloring of Knt, there exists a red Kk or a blue Ki. R(r;k1,k2,.,k) ifn≥R(r;k1,k2,.,k), for any r-coloring of Kn,there exists a monochromatic ki-clique with color i for some ie{1,2,...,r}. Ramsey Theorem R(r;k1,k2,...,k)is finite.R(r; k1, k2, ... , kr) Multicolor if n≥ R(k,l), for any 2-coloring of Kn, there exists a red Kk or a blue Kl. if n ≥ R(r; k1, k2, ... , kr), for any r-coloring of Kn, there exists a monochromatic ki-clique with color i for some i∈{1, 2, ..., r}. Ramsey Theorem R(r; k1, k2, ... , kr) is finite