Combining Texts

All the ideas for 'fragments/reports', 'Believing the Axioms I' and 'A Slim Book about Narrow Content'

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30 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]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
13011 New axioms are being sought, to determine the size of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
13013 The Axiom of Extensionality seems to be analytic [Maddy]
13014 Extensional sets are clearer, simpler, unique and expressive [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13021 The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy]
13022 Infinite sets are essential for giving an account of the real numbers [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
13023 The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13024 Efforts to prove the Axiom of Choice have failed [Maddy]
13025 Modern views say the Choice set exists, even if it can't be constructed [Maddy]
13026 A large array of theorems depend on the Axiom of Choice [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
13019 The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
13018 Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy]
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]
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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]