Combining Texts

All the ideas for 'Two Notions of Being: Entity and Essence', 'Foundations of Geometry' and 'Process Philosophy'

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13 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
13917 Metaphysics aims to identify categories of being, and show their interdependency [Lowe]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
13919 Philosophy aims not at the 'analysis of concepts', but at understanding the essences of things [Lowe]
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]
7. Existence / B. Change in Existence / 2. Processes
19480 Process philosophy places the dynamic nature of being at the centre of our theories [Seibt]
19479 Reductionists identify processes by their 'owner', but tornadoes etc. are processes without owners [Seibt]
19481 Traditionally small things add up to processes, but quantum mechanics reverses this [Seibt]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
13918 Holes, shadows and spots of light can coincide without being identical [Lowe]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
13921 All things must have an essence (a 'what it is'), or we would be unable to think about them [Lowe]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
13922 Knowing an essence is just knowing what the thing is, not knowing some further thing [Lowe]
9. Objects / F. Identity among Objects / 4. Type Identity
13920 Each thing has to be of a general kind, because it belongs to some category [Lowe]