Combining Philosophers
Ideas for Stilpo, Bertrand Russell and Gottlob Frege
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15 ideas
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
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9158
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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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16887
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Frege's concept of 'self-evident' makes no reference to minds [Frege, by Burge]
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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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7554
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Self-evidence is often a mere will-o'-the-wisp [Russell]
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5412
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Some propositions are self-evident, but their implications may also be self-evident [Russell]
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5413
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Particular instances are more clearly self-evident than any general principles [Russell]
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5415
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As shown by memory, self-evidence comes in degrees [Russell]
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5416
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If self-evidence has degrees, we should accept the more self-evident as correct [Russell]
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12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
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16894
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An apriori truth is grounded in generality, which is universal quantification [Frege, by Burge]
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9352
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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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5397
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The rationalists were right, because we know logical principles without experience [Russell]
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12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
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2514
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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 / A. A Priori Knowledge / 9. A Priori from Concepts
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4430
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All a priori knowledge deals with the relations of universals [Russell]
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5411
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We can know some general propositions by universals, when no instance can be given [Russell]
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