• Editors' introduction; Part I. Philosophy of Mathematics: 1. Infinite regress and foundations of mathematics; 2. A renaissance of empiricism in the recent philosophy of mathematics?; 3. Cauchy and the continuum: the significance of non-standard analysis for the history and philosophy of mathematics; 4. What does a mathematical proof prove?; 5. The method of analysis-synthesis; Part II. Critical Papers: 6. The problem of appraising scientific theories: three approaches; 7. Necessity, Kineale and Popper; 8. Changes in the problem of inductive logic; 9. On Popperian historiography; 10. Anomalies versus 'crucial experiments'; 11. Understanding Toulmin; Part III. Science and Education: 12. A letter to the director of the London School of Economics; 13. The teaching of the history of science; 14. The social responsibility of science; References; Lakatos bibliography; Indexes.

' … there is an essential unity of theme and purpose running through all the papers collected in these volumes. Many of the papers, even though they have been previously published, are not fully self-contained and can be understood only by reference to others. Their collection and the editors' cross-referencing thus serves the useful purpose of facilitating an assessment of Lakatos' contribution to philosophy.' Philosophical Books