Combining Philosophers

All the ideas for Anaxarchus, Gabriel M.A. Segal and Giuseppe Peano

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26 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
3123 Science is in the business of carving nature at the joints [Segal]
2. Reason / A. Nature of Reason / 8. Naturalising Reason
3125 Psychology studies the way rationality links desires and beliefs to causality [Segal]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
3338 Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn]
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]
5897 0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew]
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]
10. Modality / A. Necessity / 5. Metaphysical Necessity
3105 Is 'Hesperus = Phosphorus' metaphysically necessary, but not logically or epistemologically necessary? [Segal]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
3106 If claims of metaphysical necessity are based on conceivability, we should be cautious [Segal]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
3061 Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
3113 The success and virtue of an explanation do not guarantee its truth [Segal]
18. Thought / A. Modes of Thought / 4. Folk Psychology
3112 Folk psychology is ridiculously dualist in its assumptions [Segal]
18. Thought / C. Content / 5. Twin Earth
3108 If 'water' has narrow content, it refers to both H2O and XYZ [Segal]
3110 Humans are made of H2O, so 'twins' aren't actually feasible [Segal]
3124 Externalists can't assume old words refer to modern natural kinds [Segal]
18. Thought / C. Content / 6. Broad Content
3117 Concepts can survive a big change in extension [Segal]
3104 Must we relate to some diamonds to understand them? [Segal]
3103 Maybe content involves relations to a language community [Segal]
3111 Externalism can't explain concepts that have no reference [Segal]
3109 If content is external, so are beliefs and desires [Segal]
3116 Maybe experts fix content, not ordinary users [Segal]
18. Thought / C. Content / 7. Narrow Content
3121 If content is narrow, my perfect twin shares my concepts [Segal]
18. Thought / C. Content / 10. Causal Semantics
3118 If thoughts ARE causal, we can't explain how they cause things [Segal]
3119 Even 'mass' cannot be defined in causal terms [Segal]