Combining Texts

All the ideas for 'The Mental Life of Some Machines', 'Subjective View: sec qualities and indexicals' and 'Set Theory'

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31 ideas

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 / 2. Realism
22427 To explain object qualities, primary qualities must be more than mere sources of experience [McGinn]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
22413 Being red simply consists in looking red [McGinn]
22415 Relativity means differing secondary perceptions are not real disagreements [McGinn]
22416 Phenomenalism is correct for secondary qualities, so scepticism is there impossible [McGinn]
22422 Maybe all possible sense experience must involve both secondary and primary qualities [McGinn]
22428 You understood being red if you know the experience involved; not so with thngs being square [McGinn]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
22414 You don't need to know how a square thing looks or feels to understand squareness [McGinn]
22423 Touch doesn't provide direct experience of primary qualities, because touch feels temperature [McGinn]
22426 We can perceive objectively, because primary qualities are not mind-created [McGinn]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
22412 Lockean secondary qualities (unlike primaries) produce particular sensory experiences [McGinn]
22421 Could there be a mind which lacked secondary quality perception? [McGinn]
22424 Secondary qualities contain information; their variety would be superfluous otherwise [McGinn]
22425 The utility theory says secondary qualities give information useful to human beings [McGinn]
12. Knowledge Sources / B. Perception / 3. Representation
7629 We see objects 'directly' by representing them [McGinn]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
5495 Instances of pain are physical tokens, but the nature of pain is more abstract [Putnam, by Lycan]
18. Thought / A. Modes of Thought / 9. Indexical Thought
22420 The indexical perspective is subjective, incorrigible and constant [McGinn]
18410 Indexical thought is in relation to my self-consciousness [McGinn]
22417 Indexicals do not figure in theories of physics, because they are not explanatory causes [McGinn]
18402 Indexical concepts are indispensable, as we need them for the power to act [McGinn]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
22418 I can know indexical truths a priori, unlike their non-indexical paraphrases [McGinn]