This extract is a transcript (a written-down version of a recording) of a famous radio debate between the Catholic priest and philosopher F.C. Copleston and the philosopher Bertrand Russell. The discussion was broadcast in 1948; Copleston went on to debate Religious Language with his friend, the philosopher A.J. Ayer.
The original debate was in three parts. The two debated the Cosmological Argument, Religious Experience and the Moral Argument for the existence of God. However, the extract in the Edexcel Anthology stops at the end of the section on religious experiences and this is all you need to know.