Combining Texts

All the ideas for 'fragments/reports', 'Foundations of Geometry' and 'On the Source of Necessity'

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9 ideas

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4

15102

S4 says there must be some necessary truths (the actual ones, of which there is at least one) [Cameron]

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]

10. Modality / C. Sources of Modality / 1. Sources of Necessity

15103

Blackburn fails to show that the necessary cannot be grounded in the contingent [Cameron]

25. Social Practice / E. Policies / 5. Education / b. Education principles

13304

Learned men gain more in one day than others do in a lifetime [Posidonius]

27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure

20820

Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]

27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism

15104

The 'moving spotlight' theory makes one time privileged, while all times are on a par ontologically [Cameron]