Combining Texts

All the ideas for 'Set Theory', 'Dialectic of Enlightenment' and 'Mental Events'

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26 ideas

1. Philosophy / H. Continental Philosophy / 5. Critical Theory
15663 Adorno and Horkheimer subjected the Enlightenment to 'critical theory' analysis [Adorno/Horkheimer, by Finlayson]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
13030 Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
13032 Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / d. Axiom of Unions III
13033 Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13037 Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
13038 Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
13034 Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
13039 Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13036 Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
13029 Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
13031 Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
13040 Constructibility: V = L (all sets are constructible) [Kunen]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
4983 There are no rules linking thought and behaviour, because endless other thoughts intervene [Davidson]
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
3529 Reduction is impossible because mind is holistic and brain isn't [Davidson, by Maslin]
17. Mind and Body / D. Property Dualism / 2. Anomalous Monism
2307 Anomalous monism says nothing at all about the relationship between mental and physical [Davidson, by Kim]
5497 Mind is outside science, because it is humanistic and partly normative [Davidson, by Lycan]
4081 Anomalous monism says causes are events, so the mental and physical are identical, without identical properties [Davidson, by Crane]
2321 If rule-following and reason are 'anomalies', does that make reductionism impossible? [Davidson, by Kim]
3404 Davidson claims that mental must be physical, to make mental causation possible [Davidson, by Kim]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
3405 If mental causation is lawless, it is only possible if mental events have physical properties [Davidson, by Kim]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
16041 Supervenience of the mental means physical changes mental, and mental changes physical [Davidson]
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
6620 Davidson sees identity as between events, not states, since they are related in causation [Davidson, by Lowe]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
3429 Multiple realisability was worse news for physicalism than anomalous monism was [Davidson, by Kim]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
20572 De Sade said it was impossible to rationally argue against murder [Adorno/Horkheimer]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
3524 Causation is either between events, or between descriptions of events [Davidson, by Maslin]
3526 Whether an event is a causal explanation depends on how it is described [Davidson, by Maslin]