Combining Texts

All the ideas for 'Foundations of Geometry', 'On the Essence of Human Freedom' and 'The Individuation of Events'

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10 ideas

5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Davidson controversially proposed to quantify over events [Davidson, by Engelbretsen]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
You can't identify events by causes and effects, as the event needs to be known first [Dummett on Davidson]
Events can only be individuated causally [Davidson, by Schaffer,J]
We need events for action statements, causal statements, explanation, mind-and-body, and adverbs [Davidson, by Bourne]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
The claim that events are individuated by their causal relations to other events is circular [Lowe on Davidson]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / g. Will to power
Ultimately, all being is willing. The nature of primal being is the same as the nature of willing [Schelling]