Combining Texts

Ideas for 'Theaetetus', 'Science without Numbers' and 'Grundlagen der Arithmetik (Foundations)'

expand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

11 ideas

12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
9158 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
8657 Mathematicians just accept self-evidence, whether it is logical or intuitive [Frege]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
9352 An a priori truth is one derived from general laws which do not require proof [Frege]
16889 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
2514 Frege tried to explain synthetic a priori truths by expanding the concept of analyticity [Frege, by Katz]
12. Knowledge Sources / B. Perception / 1. Perception
2045 Perception is infallible, suggesting that it is knowledge [Plato]
2067 Our senses could have been separate, but they converge on one mind [Plato]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
2068 With what physical faculty do we perceive pairs of opposed abstract qualities? [Plato]
2078 You might mistake eleven for twelve in your senses, but not in your mind [Plato]
2069 Thought must grasp being itself before truth becomes possible [Plato]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
16900 Intuitions cannot be communicated [Frege, by Burge]