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Ideas of Henri Poincaré, by Text
[French, 1854  1912, Professor of Mathematics at the Sorbonne.]
1894

On the Nature of Mathematical Reasoning


p.107

15923

Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Lavine]


p.430

9916

Convention, yes! Arbitrary, no! [Putnam]

1902

Science and Hypothesis

p.20

p.363

10180

Mathematicians do not study objects, but relations between objects

1906

The Value of Science

Pt III

p.52

15877

The aim of science is just to create a comprehensive, elegant language to describe brute facts [Harré]

p.65

p.154

10245

One geometry cannot be more true than another

1909

The Logic of Infinity

p.63

p.126

18203

Avoid nonpredicative classifications and definitions
