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Ideas for 'Parmenides', 'Grundlagen der Arithmetik (Foundations)' and 'Every Thing Must Go'

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9 ideas

12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
For Frege a priori knowledge derives from general principles, so numbers can't be primitive [Frege]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Mathematicians just accept self-evidence, whether it is logical or intuitive [Frege]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
An a priori truth is one derived from general laws which do not require proof [Frege]
A truth is a priori if it can be proved entirely from general unproven laws [Frege]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
Frege tried to explain synthetic a priori truths by expanding the concept of analyticity [Frege, by Katz]
12. Knowledge Sources / D. Empiricism / 2. Associationism
Rats find some obvious associations easier to learn than less obvious ones [Ladyman/Ross]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
The doctrine of empiricism does not itself seem to be empirically justified [Ladyman/Ross]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Intuitions cannot be communicated [Frege, by Burge]
There is no reason to think our intuitions are good for science or metaphysics [Ladyman/Ross]