Referee's report by Rudolf Ernst Peierls, on a paper [attributed] 'Order-disorder statistics. II. A two-dimensional model' by Cyril Domb Sectional Committee: Mathematics Recommended for publication in the 'Proceedings of the Royal Society of London'. Finds the paper difficult to follow, but is not an expert in this kind of work. The paper assumes the reader to be familiar with the arguments. Much of the argument is explained explicitly, but the final steps are only sketched qualitatively. [Published in the 'Proceedings of the Royal Society of London'] No received date. [1948]