Arthur Ivan Greaves (11 January 1873 – 29 November 1959) was an Anglican bishop in the mid 20th century. He was born on 11 January 1873 and educated at Hurstpierpoint College and Keble College, Oxford. After a period of study at Ripon College Cuddesdon he was ordained: made deacon at Advent 1897 (19 December) and ordained priest the follow Advent (18 December 1898) – both times by Edward Carr Glyn, Bishop of Peterborough, at Peterborough Cathedral.