Combining Texts

All the ideas for 'works', 'Believing the Axioms I' and 'Causes and Conditions'

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21 ideas

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
13014 Extensional sets are clearer, simpler, unique and expressive [Maddy]
13013 The Axiom of Extensionality seems to be analytic [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]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
20239 Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
8337 Some says mental causation is distinct because we can recognise single occurrences [Mackie]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
8342 Mackie tries to analyse singular causal statements, but his entities are too vague for events [Kim on Mackie]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
8343 Necessity and sufficiency are best suited to properties and generic events, not individual events [Kim on Mackie]
8385 A cause is part of a wider set of conditions which suffices for its effect [Mackie, by Crane]
8335 Necessary conditions are like counterfactuals, and sufficient conditions are like factual conditionals [Mackie]
8336 The INUS account interprets single events, and sequences, causally, without laws being known [Mackie]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
8333 A cause is an Insufficient but Necessary part of an Unnecessary but Sufficient condition [Mackie]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
8395 Mackie has a nomological account of general causes, and a subjunctive conditional account of single ones [Mackie, by Tooley]
8334 The virus causes yellow fever, and is 'the' cause; sweets cause tooth decay, but they are not 'the' cause [Mackie]