Combining Texts

All the ideas for 'The Roots of Reference', 'Set Theory' and 'Db (ideas)'

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28 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
4465 Note that "is" can assert existence, or predication, or identity, or classification [PG]
2. Reason / F. Fallacies / 1. Fallacy
4686 Fallacies are errors in reasoning, 'formal' if a clear rule is breached, and 'informal' if more general [PG]
2. Reason / F. Fallacies / 3. Question Begging
7415 Question-begging assumes the proposition which is being challenged [PG]
2. Reason / F. Fallacies / 6. Fallacy of Division
7414 What is true of a set is also true of its members [PG]
2. Reason / F. Fallacies / 7. Ad Hominem
6696 The Ad Hominem Fallacy criticises the speaker rather than the argument [PG]
3. Truth / H. Deflationary Truth / 3. Minimalist Truth
4687 Minimal theories of truth avoid ontological commitment to such things as 'facts' or 'reality' [PG]
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 / L. Paradox / 1. Paradox
6516 Monty Hall Dilemma: do you abandon your preference after Monty eliminates one of the rivals? [PG]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
14296 Dispositions are physical states of mechanism; when known, these replace the old disposition term [Quine]
10. Modality / B. Possibility / 6. Probability
24054 Everything has a probability, something will happen, and probabilities add up [PG]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / a. Naïve realism
3875 If reality is just what we perceive, we would have no need for a sixth sense [PG]
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
3876 If my team is losing 3-1, I have synthetic a priori knowledge that they need two goals for a draw [PG]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
7734 Maybe a mollusc's brain events for pain ARE of the same type (broadly) as a human's [PG]
7735 Maybe a frog's brain events for fear are functionally like ours, but not phenomenally [PG]
23. Ethics / E. Utilitarianism / 4. Unfairness
3877 Utilitarianism seems to justify the discreet murder of unhappy people [PG]
27. Natural Reality / G. Biology / 2. Life
6126 Life is Movement, Respiration, Sensation, Nutrition, Excretion, Reproduction, Growth (MRS NERG) [PG]
28. God / A. Divine Nature / 4. Divine Contradictions
3873 An omniscient being couldn't know it was omniscient, as that requires information from beyond its scope of knowledge [PG]
3874 How could God know there wasn't an unknown force controlling his 'free' will? [PG]