question: Who did the person believed to be The "infidel mathematician"  succeed as the AStronomer Royal in Britain?
answer: John Flamsteed
context: Title: Felig
  Passage: Felig is the name of a person believed to be the founder of "Cill Fheilige" ('the church of Felig'), which according to local tradition was the first church founded among the Soghain people of Menlough, County Galway.  This would make Felig among the very first Christian missionaries in Connacht, perhaps only a generation removed from the mission of Saint Patrick and Kerrill.
  Title: Edmond Halley
  Passage: Edmond (or Edmund) Halley, FRS (pronounced ; 8 November [O.S. 29 October] 1656 – 25 January 1742 [O.S. 14 January 1741] ) was an English astronomer, geophysicist, mathematician, meteorologist, and physicist who is best known for computing the orbit of Halley's Comet.  He was the second Astronomer Royal in Britain, succeeding John Flamsteed.
  Title: James Bradley
  Passage: James Bradley FRS (March 1693 – 13 July 1762) was an English astronomer and priest and served as Astronomer Royal from 1742, succeeding Edmond Halley.  He is best known for two fundamental discoveries in astronomy, the aberration of light (1725–1728), and the nutation of the Earth's axis (1728–1748).  These discoveries were called "the most brilliant and useful of the century" by Jean Baptiste Joseph Delambre, historian of astronomy, mathematical astronomer and director of the Paris Observatory, in his history of astronomy in the 18th century (1821), because "It is to these two discoveries by Bradley that we owe the exactness of modern astronomy.  ... This double service assures to their discoverer the most distinguished place (after Hipparchus and Kepler) above the greatest astronomers of all ages and all countries."
  Title: The Analyst
  Passage: The Analyst, subtitled ""A DISCOURSE Addressed to an Infidel MATHEMATICIAN.  WHEREIN It is examined whether the Object, Principles, and Inferences of the modern Analysis are more distinctly conceived, or more evidently deduced, than Religious Mysteries and Points of Faith"", is a book published by George Berkeley in 1734.  The "infidel mathematician" is believed to have been Edmond Halley, though others have speculated Sir Isaac Newton was intended.  See .
citations: Edmond Halley The Analyst