Combining Texts

All the ideas for 'fragments/reports', 'Set Theory' and 'Externalism'

expand these ideas     |    start again     |     specify just one area for these texts

28 ideas

1. Philosophy / H. Continental Philosophy / 4. Linguistic Structuralism
6161 Structuralism is neo-Kantian idealism, with language playing the role of categories of understanding [Rowlands]
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]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
6163 If bivalence is rejected, then excluded middle must also be rejected [Rowlands]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
6155 Supervenience is a one-way relation of dependence or determination between properties [Rowlands]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
6154 It is argued that wholes possess modal and counterfactual properties that parts lack [Rowlands]
9. Objects / F. Identity among Objects / 4. Type Identity
6157 Tokens are dated, concrete particulars; types are their general properties or kinds [Rowlands]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
6159 Strong idealism is the sort of mess produced by a Cartesian separation of mind and world [Rowlands]
15. Nature of Minds / A. Nature of Mind / 1. Mind / c. Features of mind
6152 Minds are rational, conscious, subjective, self-knowing, free, meaningful and self-aware [Rowlands]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
6173 Content externalism implies that we do not have privileged access to our own minds [Rowlands]
6174 If someone is secretly transported to Twin Earth, others know their thoughts better than they do [Rowlands]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
6158 Supervenience of mental and physical properties often comes with token-identity of mental and physical particulars [Rowlands]
18. Thought / C. Content / 1. Content
6168 The content of a thought is just the meaning of a sentence [Rowlands]
20. Action / A. Definition of Action / 4. Action as Movement
6167 Action is bodily movement caused by intentional states [Rowlands]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
6177 Moral intuition seems unevenly distributed between people [Rowlands]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
6156 The 17th century reintroduced atoms as mathematical modes of Euclidean space [Rowlands]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
6170 Natural kinds are defined by their real essence, as in gold having atomic number 79 [Rowlands]
27. Natural Reality / G. Biology / 4. Ecology
6178 It is common to see the value of nature in one feature, such as life, diversity, or integrity [Rowlands]