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All the ideas for 'The Value of Science', 'On the Source of Necessity' and 'Logicism in the 21st Century'

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9 ideas

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
S4 says there must be some necessary truths (the actual ones, of which there is at least one) [Cameron]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
Neo-logicism founds arithmetic on Hume's Principle along with second-order logic [Hale/Wright]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
The Julius Caesar problem asks for a criterion for the concept of a 'number' [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Logicism is only noteworthy if logic has a privileged position in our ontology and epistemology [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Blackburn fails to show that the necessary cannot be grounded in the contingent [Cameron]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
The 'moving spotlight' theory makes one time privileged, while all times are on a par ontologically [Cameron]