Combining Texts

All the ideas for 'talk', 'Believing the Axioms I' and 'Straw Dogs'

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19 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
9271 Human knowledge may not produce well-being; the examined life may not be worth living [Gray]
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]
13. Knowledge Criteria / C. External Justification / 9. Naturalised Epistemology
9275 Knowledge does not need minds or nervous systems; it is found in all living things [Gray]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
1556 By nature people are close to one another, but culture drives them apart [Hippias]
16. Persons / F. Free Will / 5. Against Free Will
9276 The will hardly ever does anything; most of our life just happens to us [Gray]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
9278 Nowadays we identify the free life with the good life [Gray]
27. Natural Reality / G. Biology / 4. Ecology
9280 Over forty percent of the Earth's living tissue is human [Gray]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
9272 Without Christianity we lose the idea that human history has a meaning [Gray]
9279 What was our original sin, and how could Christ's suffering redeem it? [Gray]