Combining Texts

All the ideas for 'The Architecture of Mathematics', 'Two Problems of Epistemology' and 'Open Society and Its Enemies:Hegel and Marx'

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Popper felt that ancient essentialism was a bar to progress [Popper, by Mautner]
14. Science / A. Basis of Science / 6. Falsification
Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]