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All the ideas for 'fragments/reports', 'fragments/reports' and 'Logicism in the 21st Century'

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8 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle

8784	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

8787	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

8788	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

8783	Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright]

18. Thought / E. Abstraction / 7. Abstracta by Equivalence

8786	One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright]

23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character

541	Virtue comes more from habit than character [Critias]

27. Natural Reality / G. Biology / 1. Biology

651	Eurytus showed that numbers underlie things by making pictures of creatures out of pebbles [Eurytus, by Aristotle]

28. God / C. Attitudes to God / 5. Atheism

542	Fear of the gods was invented to discourage secret sin [Critias]