On the history of the Strong Law of Large Numbers and Boole's inequality

We address the problem of priority for the Strong Law of Large Numbers (SLLN) with a view to portraying Cantelli's role more accurately. The controversy over priority in 1928 was initiated by Slutsky and came to a head at the Bologna Congress of Mathematicians. We portray it through the media of letters (the centerpiece of our paper) written by Slutsky during the Congress, and notes in the Congress Proceedings. The technical focus of Cantelli's proof of the SLLN is Boole's Inequality. The publicity it received at the Congress very likely led to considerations of optimality of such bounds and to the Bonferroni Inequalities.