Combining Texts

All the ideas for 'Set Theory', 'The Inessential Indexical' and 'Reference and Essence: seven appendices'

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32 ideas

2. Reason / E. Argument / 1. Argument
18405 A 'teepee' argument has several mutually supporting planks to it [Cappelen/Dever]
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]
7. Existence / D. Theories of Reality / 10. Vagueness / g. Degrees of vagueness
14742 It can't be indeterminate whether x and y are identical; if x,y is indeterminate, then it isn't x,x [Salmon,N]
16. Persons / C. Self-Awareness / 2. Knowing the Self
18422 Prioprioception focuses on your body parts, not on your self, or indexicality [Cappelen/Dever]
18425 We can acquire self-knowledge with mirrors, not just with proprioception and introspection [Cappelen/Dever]
18421 Proprioception is only immune from error if you are certain that it represents the agent [Cappelen/Dever]
17. Mind and Body / C. Functionalism / 1. Functionalism
18419 Folk Functionalism is a Ramsification of our folk psychology [Cappelen/Dever]
18. Thought / A. Modes of Thought / 9. Indexical Thought
18404 It is assumed that indexical content is needed to represent the perspective of perception [Cappelen/Dever]
18426 All information is objective, and purely indexical information is not much use [Cappelen/Dever]
18427 If some of our thought is tied to its context, it will be hard to communicate it [Cappelen/Dever]
18428 You don't remember your house interior just from an experienced viewpoint [Cappelen/Dever]
18429 Our beliefs and desires are not organised around ourselves, but around the world [Cappelen/Dever]
18407 Indexicality is not significantly connected to agency [Cappelen/Dever]
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
18885 Kripke and Putnam made false claims that direct reference implies essentialism [Salmon,N]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
18413 Fregeans can't agree on what 'senses' are [Cappelen/Dever]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
18417 Possible worlds accounts of content are notoriously coarse-grained [Cappelen/Dever]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
18408 Indexicals are just non-constant in meaning, and don't involve any special concepts [Cappelen/Dever]
18414 Fregeans say 'I' differs in reference, so it must also differ in sense [Cappelen/Dever]
18423 All indexicals can be expressed non-indexically [Cappelen/Dever]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
18406 The basic Kaplan view is that there is truth-conditional content, and contextual character [Cappelen/Dever]
18411 It is proposed that a huge range of linguistic items are context-sensitive [Cappelen/Dever]
20. Action / C. Motives for Action / 2. Acting on Beliefs / b. Action cognitivism
18420 We deny that action involves some special class of beliefs [Cappelen/Dever]