 He was characterised as a Latitudinarian.He associated with John Tillotson and Edward Stillingfleet, involved with them and John Wilkins in an abortive proposal for a comprehension of presbyterians within the Church of England, communicated by Bridgeman to Richard Baxter and others in early 1668.Anthony Wood says that a club formed by Wilkins to promote comprehension used to meet at the 'chambers of that great trimmer and latitudinarian, Dr. Hezekiah Burton.'