The book is a detailed and penetrating study of the relations between Bolzano's philosophical views and his mathematical achievements. It opens with a Biographical sketch, written with a good understanding of the political situation in Central Europe at Bolzano's times. The words of the Emperor Francis II: "I do not need scholars but obedient citizens" (p. 8), and of an English visitor of Austria at those times: "These school-books are the most barren and stupid extracts which ever left the printing press." (p. 9) express the problems of the intellectuals in this part of the world.