Combining Texts

All the ideas for 'Set Theory', 'Mind in a Physical World' and 'The Semantic Tradition from Kant to Carnap'

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38 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
2319 Metaphysics is the clarification of the ontological relationships between different areas of thought [Kim]
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]
18270 Choice suggests that intensions are not needed to ensure classes [Coffa]
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]
7. Existence / C. Structure of Existence / 2. Reduction
2317 Reductionism is good on light, genes, temperature and transparency [Kim, by PG]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
2310 Supervenience is linked to dependence [Kim]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
2315 Mereological supervenience says wholes are fixed by parts [Kim]
7. Existence / D. Theories of Reality / 3. Reality
2329 Causal power is a good way of distinguishing the real from the unreal [Kim]
8. Modes of Existence / B. Properties / 7. Emergent Properties
2320 Properties can have causal powers lacked by their constituents [Kim]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
18263 The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
18272 Platonism defines the a priori in a way that makes it unknowable [Coffa]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
530 There are two contradictory arguments about everything [Kim]
13314 Protagoras says arguments on both sides are always equal [Kim, by Seneca]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
2065 Not every person is the measure of all things, but only wise people [Plato on Kim]
1550 Why didn't Protagoras begin by saying "a tadpole is the measure of all things"? [Plato on Kim]
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
2318 Agency, knowledge, reason, memory, psychology all need mental causes [Kim, by PG]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
2325 It seems impossible that an exact physical copy of this world could lack intentionality [Kim]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
18266 Mathematics generalises by using variables [Coffa]
17. Mind and Body / C. Functionalism / 1. Functionalism
2324 Intentionality as function seems possible [Kim]
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
2314 Maybe intentionality is reducible, but qualia aren't [Kim]
17. Mind and Body / D. Property Dualism / 4. Emergentism
2313 Emergentism says there is no explanation for a supervenient property [Kim]
2328 The only mental property that might be emergent is that of qualia [Kim]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
2309 Non-Reductive Physicalism relies on supervenience [Kim]
2311 Maybe strong supervenience implies reduction [Kim]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
2308 Identity theory was overthrown by multiple realisations and causal anomalies [Kim]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
2322 Multiple realisation applies to other species, and even one individual over time [Kim]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / c. Knowledge argument
2327 Knowledge and inversion make functionalism about qualia doubtful [Kim]
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
2323 Emotions have both intentionality and qualia [Kim]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
18279 Relativity is as absolutist about space-time as Newton was about space [Coffa]