Combining Texts

All the ideas for '67: Platonic Questions', 'Review of Aron 'Our Knowledge of Universals'' and 'Foundations of Geometry'

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8 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 / A. Nature of Mind / 2. Psuche
5960 When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
10645 We reach concepts by clarification, or by definition, or by habitual experience [Price,HH]
18. Thought / E. Abstraction / 2. Abstracta by Selection
10644 A 'felt familiarity' with universals is more primitive than abstraction [Price,HH]
10646 Our understanding of 'dog' or 'house' arises from a repeated experience of concomitances [Price,HH]