Combining Philosophers
Ideas for Melvin Fitting, George Boolos and Gottlob Frege
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8 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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Frege's concept of 'self-evident' makes no reference to minds [Frege, by Burge]
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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 / 4. A Priori as Necessities
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An apriori truth is grounded in generality, which is universal quantification [Frege, by Burge]
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An a priori truth is one derived from general laws which do not require proof [Frege]
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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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12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
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Intuitions cannot be communicated [Frege, by Burge]
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