This volume presents his work on the philosophy of mathematics, together with some critical essays on contemporary philosophers of science and some famous polemical writings on political and educational issues.
This volume presents his work on the philosophy of mathematics, together with some critical essays on contemporary philosophers of science and some famous polemical writings on political and educational issues.
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.
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.
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