Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano's Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.
Short Title Key to Bolzano References; Part I: Historical Introduction 1. The Historical Context of the 'Paradoxien' 2. Biographical Sketch 3. Bolzano the Mathematician 4. Bolzano the Logician 5. Bolzano the Physicist 6. The 'Paradoxien Des Unendlichen'; Part II: Translation 7. Editor's Preface 8. Synopsis of Contents 9. Text of Translation 10. Reference Notes to Translation; Part III: Selected Bibliography 11. Bibliographical Works 12. Biographical Works 13. By Bolzano on Logic 14. By Bolzano on Mathematics 15. By Bolzano on Physics 16. By Bolzano on Other Subjects 17. On Bolzano the Logician 18. On Bolzano the Mathematician 19. On Bolzano the Philosopher; Key to the Quotations in the 'Paradoxien'; Index of Persons and Places; Index of Topics