Combining Texts

All the ideas for 'The Guide of the Perplexed', 'The Analysis of Mind' and 'Principles of Arithmetic, by a new method'

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13 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
13949 All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
18113 PA concerns any entities which satisfy the axioms [Peano, by Bostock]
17634 Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
15653 We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
6417 In 1921 Russell abandoned sense-data, and the gap between sensation and object [Russell, by Grayling]
6474 Seeing is not in itself knowledge, but is separate from what is seen, such as a patch of colour [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
6476 We cannot assume that the subject actually exists, so we cannot distinguish sensations from sense-data [Russell]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
2792 It is possible the world came into existence five minutes ago, complete with false memories [Russell]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
22326 Knowledge needs more than a sensitive response; the response must also be appropriate [Russell]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
6475 In perception, the self is just a logical fiction demanded by grammar [Russell]
28. God / A. Divine Nature / 2. Divine Nature
20696 We can approach knowledge of God by negative attributes [Maimonides]
28. God / C. Attitudes to God / 4. God Reflects Humanity
19085 Thinking of God as resembling humans results from a bad translation of Genesis 1:26 [Maimonides]