Combining Texts

All the ideas for 'On Hippocrates and Plato', 'A priori/A posteriori' 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
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]
12. Knowledge Sources / A. A Priori Knowledge / 10. A Priori as Subjective
Maybe imagination is the source of a priori justification [Casullo]
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
Galen showed by experiment that the brain controls the body [Galen, by Hankinson]
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]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Each part of the soul has its virtue - pleasure for appetite, success for competition, and rectitude for reason [Galen]