Combining Texts

All the ideas for 'Scientific Thought', 'Foundations of Geometry' and 'Reference and Contingency'

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11 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]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
14759 A thing is simply a long event, linked by qualities, and spatio-temporal unity [Broad]
11842 If short-lived happenings like car crashes are 'events', why not long-lived events like Dover Cliffs? [Broad]
10. Modality / B. Possibility / 5. Contingency
14895 'Superficial' contingency: false in some world; 'Deep' contingency: no obvious verification [Evans, by Macià/Garcia-Carpentiro]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
11881 Rigid designators can be meaningful even if empty [Evans, by Mackie,P]
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
8160 The present and past exist, but the future does not [Broad, by Dummett]
14609 We could say present and past exist, but not future, so that each event adds to the total history [Broad]
27. Natural Reality / D. Time / 2. Passage of Time / d. Time series
22933 We imagine the present as a spotlight, moving across events from past to future [Broad]