Referee's report by Edmund Taylor Whittaker, on a paper 'On the significance tests for the introduction of new functions to represent measures' by Harold Jeffreys Sectional Committee: Mathematics Recommended for publication in the 'Proceedings of the Royal Society of London'. The paper continues and completes an earlier paper by the same author, also published in the Proceedings. The author's views are entitled to a hearing. Contains extra question - 'Is there any information contained in the paper which likely to be of value to the enemy?' Referee replies no. [Published in the 'Proceedings of the Royal Society of London'] No received date. [1941]