Combining Texts

All the ideas for 'Brainstorms:Essays on Mind and Psychology', 'Kinds of Minds' and 'Set Theory'

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25 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]
15. Nature of Minds / A. Nature of Mind / 1. Mind / e. Questions about mind
4608 Minds are hard-wired, or trial-and-error, or experimental, or full self-aware [Dennett, by Heil]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
4880 Sentience comes in grades from robotic to super-human; we only draw a line for moral reasons [Dennett]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
3158 Theories of intentionality presuppose rationality, so can't explain it [Dennett]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
4873 What is it like to notice an uncomfortable position when you are asleep? [Dennett]
16. Persons / B. Nature of the Self / 6. Self as Higher Awareness
4881 Being a person must involve having second-order beliefs and desires (about beliefs and desires) [Dennett]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
3159 Beliefs and desires aren't real; they are prediction techniques [Dennett]
17. Mind and Body / C. Functionalism / 6. Homuncular Functionalism
4875 We descend from robots, and our intentionality is composed of billions of crude intentional systems [Dennett]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
4879 There is no more anger in adrenaline than silliness in a bottle of whiskey [Dennett]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
4876 Maybe there is a minimum brain speed for supporting a mind [Dennett]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
4878 The materials for a mind only matter because of speed, and a need for transducers and effectors [Dennett]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
4874 The predecessor and rival of the language of thought hypothesis is the picture theory of ideas [Dennett]
18. Thought / D. Concepts / 5. Concepts and Language / b. Concepts are linguistic
4882 Concepts are things we (unlike dogs) can think about, because we have language [Dennett]
25. Social Practice / F. Life Issues / 3. Abortion
4872 Most people see an abortion differently if the foetus lacks a brain [Dennett]
27. Natural Reality / G. Biology / 2. Life
4877 Maybe plants are very slow (and sentient) animals, overlooked because we are faster? [Dennett]