Combining Texts

All the ideas for 'fragments/reports', 'Foundations of Geometry' and 'On Copernicanism and Relativity of Motion'

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8 ideas

3. Truth / A. Truth Problems / 8. Subjective Truth
13157 Choose the true hypothesis, which is the most intelligible one [Leibniz]
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]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
13158 The Copernican theory is right because it is the only one offering a good explanation [Leibniz]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]