Mathematics, Science and Epistemology

Imre Lakatos

doi:10.1017/CBO9780511624926

Imre Lakatos' philosophical and scientific papers are published here in two volumes. Volume I brings together his very influential but scattered papers on the philosophy of the physical sciences, and includes one important unpublished essay on the effect of Newton's scientific achievement. Volume 2 presents his work on the philosophy of mathematics (much of it unpublished), together with some critical essays on contemporary philosophers of science and some famous polemical writings on political and educational issues.

‘ … 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.’

Source: Philosophical Books

‘ … a well-produced book that every philosopher of science or mathematics will wish to have.’

Source: Philosophy

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Contents

Frontmatter
pp i-iv
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Contents
pp v-viii
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Editors' introduction
pp ix-x
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PART 1 - PHILOSOPHY OF MATHEMATICS
pp 1-2
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1 - Infinite regress and foundations of mathematics
pp 3-23
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2 - A renaissance of empiricism in the recent philosophy of mathematics?
pp 24-42
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3 - Cauchy and the continuum: the significance of non-standard analysis for the history and philosophy of mathematics (edited by J. P. Cleave)
pp 43-60
- By J. P. Cleave
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4 - What does a mathematical proof prove?
pp 61-69
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5 - The method of analysis-synthesis
pp 70-104
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PART 2 - CRITICAL PAPERS
pp 105-106
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6 - The problem of appraising scientific theories: three approaches
pp 107-120
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7 - Necessity, Kneale and Popper
pp 121-127
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8 - Changes in the problem of inductive logic
pp 128-200
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9 - On Popperian historiography
pp 201-210
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10 - Anomalies versus ‘crucial experiments’ (a rejoinder to Professor Grünbaum)
pp 211-223
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11 - Understanding Toulmin
pp 224-244
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PART 3 - SCIENCE AND EDUCATION
pp 245-246
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12 - A letter to the Director of the London School of Economics
pp 247-253
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13 - The teaching of the history of science
pp 254-255
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14 - The social responsibility of science
pp 256-258
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References
pp 259-273
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Lakatos bibliography
pp 274-276
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Indexes
pp 277-285
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Mathematics, Science and Epistemology

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Contents

Frontmatter
pp i-iv

Contents
pp v-viii

Editors' introduction
pp ix-x

PART 1 - PHILOSOPHY OF MATHEMATICS
pp 1-2

1 - Infinite regress and foundations of mathematics
pp 3-23

2 - A renaissance of empiricism in the recent philosophy of mathematics?
pp 24-42

3 - Cauchy and the continuum: the significance of non-standard analysis for the history and philosophy of mathematics (edited by J. P. Cleave)
pp 43-60

4 - What does a mathematical proof prove?
pp 61-69

5 - The method of analysis-synthesis
pp 70-104

PART 2 - CRITICAL PAPERS
pp 105-106

6 - The problem of appraising scientific theories: three approaches
pp 107-120

7 - Necessity, Kneale and Popper
pp 121-127

8 - Changes in the problem of inductive logic
pp 128-200

9 - On Popperian historiography
pp 201-210

10 - Anomalies versus ‘crucial experiments’ (a rejoinder to Professor Grünbaum)
pp 211-223

11 - Understanding Toulmin
pp 224-244

PART 3 - SCIENCE AND EDUCATION
pp 245-246

12 - A letter to the Director of the London School of Economics
pp 247-253

13 - The teaching of the history of science
pp 254-255

14 - The social responsibility of science
pp 256-258

References
pp 259-273

Lakatos bibliography
pp 274-276

Indexes
pp 277-285

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Mathematics, Science and Epistemology

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