Combining Texts

Ideas for '74: Reply to Colotes', 'New Essays on Human Understanding' and 'Grundlagen der Arithmetik (Foundations)'

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10 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
Descartes needs to demonstrate how other people can attain his clear and distinct conceptions [Leibniz]
Mathematicians just accept self-evidence, whether it is logical or intuitive [Frege]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
Arithmetic and geometry are implicitly innate, awaiting revelation [Leibniz]
Children learn language fast, with little instruction and few definitions [Leibniz]
All of our thoughts come from within the soul, and not from the senses [Leibniz]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / c. Tabula rasa
What is left of the 'blank page' if you remove the ideas? [Leibniz]
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]