Combining Texts

All the ideas for 'On Motion', 'Foundations of Geometry' and 'Frege's Distinction of Sense and Reference'

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7 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive

9182	Ancient names like 'Obadiah' depend on tradition, not on where the name originated [Dummett]

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]

19. Language / B. Reference / 3. Direct Reference / b. Causal reference

9181	The causal theory of reference can't distinguish just hearing a name from knowing its use [Dummett]

27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity

12709

Motion is not absolute, but consists in relation [Leibniz]