Referee's report by Godfrey Harold Hardy, on a paper 'On the new theory of integration' by William Henry Young Sectional Committee: Mathematics Recommended for publication in the 'Proceedings of the Royal Society of London'. Considers the paper 'didactic rather than a record of new results', yet contains new information. Suggests some additions and clarifications for the text. 'Further I would suggests that the phrase "a distinguished mathematician of the older school" is one which may or may not be accepted as a compliment by whoever it refers to'. [Published in the 'Proceedings of the Royal Society of London', 1913] Endorsed on verso as received 7 January 1913. [January 1913]