Combining Texts

All the ideas for 'Inverted Earth', 'Structure and Ontology' and 'Foundations of Geometry'

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6 ideas

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]
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
6172 The Inverted Earth example shows that phenomenal properties are not representational [Block, by Rowlands]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
9626 A structure is an abstraction, focussing on relationships, and ignoring other features [Shapiro]