Combining Texts

All the ideas for 'Reply to Fourth Objections', 'Foundations of Geometry' and 'Statements about Universals'

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7 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]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
8499 Nominalists cannot translate 'red resembles pink more than blue' into particulars [Jackson]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
8500 Colour resemblance isn't just resemblance between things; 'colour' must be mentioned [Jackson]
17. Mind and Body / E. Mind as Physical / 6. Conceptual Dualism
3643 The concept of mind excludes body, and vice versa [Descartes]