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
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For Frege a priori knowledge derives from general principles, so numbers can't be primitive [Frege]
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12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
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Descartes needs to demonstrate how other people can attain his clear and distinct conceptions [Leibniz]
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8657
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Mathematicians just accept self-evidence, whether it is logical or intuitive [Frege]
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12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
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Arithmetic and geometry are implicitly innate, awaiting revelation [Leibniz]
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12991
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Children learn language fast, with little instruction and few definitions [Leibniz]
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12929
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All of our thoughts come from within the soul, and not from the senses [Leibniz]
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12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / c. Tabula rasa
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What is left of the 'blank page' if you remove the ideas? [Leibniz]
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12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
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An a priori truth is one derived from general laws which do not require proof [Frege]
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16889
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A truth is a priori if it can be proved entirely from general unproven laws [Frege]
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12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
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Frege tried to explain synthetic a priori truths by expanding the concept of analyticity [Frege, by Katz]
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