Tit. orig.: Philosophie der Mathematik in der Antike und in der Neuzeit
Contiene:
Indice: Introduction. Pt. 1. Philosophy of mathematics in antiquity: 1. The concept of mathematics 2. Plato's philosophy of mathematics 3. The Aristotelian conception of mathematics 4. The axiomatic method of Euclid 5. Finitism in Greek mathematics 6. The paradoxes of Zeno. Pt. 2. Philosophy of mathematics in the 16th, 17th and 18th century: 7. On certainty in mathematics 8. The Cartesian nativism, the Prometheus myth, Augustinian illuminism, and Cartesian rationalism 9. John Locke's thoughts on mathematics 10 Rationalism 11. Empiricism in mathematics 12. Kant's conception of mathematics. Pt. 3. Philosophy of mathematics in the 19th and early 20th century: 13. Psychologism in mathematics 14. Logicism 15. The concept of set 16. Contemporary Platonism 17. The problem of non-constructive proofs of existence 18. The formal and the contentual position 19. Dedekind and the emergence of structuralism 20. Hilbert's critical philosophy. Epilogue. Index of names. Index of subjects. Index of abbreviations
