Combining Texts

All the ideas for 'Two Problems of Epistemology', 'The Gettier Problem' and 'The Architecture of Mathematics'

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

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From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]

13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem

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A Gettier case is a belief which is true, and its fallible justification involves some luck [Hetherington]

14. Science / A. Basis of Science / 6. Falsification

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Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]