Combining Texts

All the ideas for 'Justified Belief as Responsible Belief', 'The Value Problem' and 'Continuity and Irrational Numbers'

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11 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
19735 Wisdom has a higher value than understanding, which has a higher value than knowledge [Greco]
2. Reason / A. Nature of Reason / 6. Coherence
12801 Coherentists seek relations among beliefs that are simple, conservative and explanatory [Foley]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
17611 We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
10572 A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
17612 Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18087 If x changes by less and less, it must approach a limit [Dedekind]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
19734 If value is practical, knowledge is no better than true opinion [Greco]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / c. Disjunctivism
12800 Externalists want to understand knowledge, Internalists want to understand justification [Foley]
13. Knowledge Criteria / B. Internal Justification / 2. Pragmatic justification
12802 We aren't directly pragmatic about belief, but pragmatic about the deliberation which precedes it [Foley]
12803 Justification comes from acceptable procedures, given practical constraints [Foley]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
19733 Externalist theories don't explain why knowledge has value [Greco]