Combining Texts

All the ideas for 'Foundations of Geometry', 'The Emperor's New 'Knows'' and 'Probability and Logic of Rational Belief'

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8 ideas

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / e. The Lottery paradox
6368 If my ticket won't win the lottery (and it won't), no other tickets will either [Kyburg, by Pollock/Cruz]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
13472 Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
9546 Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
18742 Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
18217 Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
12900 How could 'S knows he has hands' not have a fixed content? [Bach]
12901 If contextualism is right, knowledge sentences are baffling out of their context [Bach]
12902 Sceptics aren't changing the meaning of 'know', but claiming knowing is tougher than we think [Bach]