Combining Texts

All the ideas for 'Believing the Axioms I', 'Friendship' and 'The Empirical Stance'

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18 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
12772 Philosophy is a value- and attitude-driven enterprise [Fraassen]
1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
12771 Is it likely that a successful, coherent, explanatory ontological hypothesis is true? [Fraassen]
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
12773 Analytic philosophy has an exceptional arsenal of critical tools [Fraassen]
2. Reason / A. Nature of Reason / 6. Coherence
12770 We may end up with a huge theory of carefully constructed falsehoods [Fraassen]
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]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
12769 Inference to best explanation contains all sorts of hidden values [Fraassen]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
12768 We accept many scientific theories without endorsing them as true [Fraassen]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
23834 Friendship is partly universal - the love of a person is like the ideal of loving everyone [Weil]