Combining Texts

All the ideas for 'Lectures on the History of Philosophy', 'Set Theory' and 'A Defense of Presentism'

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25 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
21757 Philosophy is the conceptual essence of the shape of history [Hegel]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
14001 People who use science to make philosophical points don't realise how philosophical science is [Markosian]
3. Truth / B. Truthmakers / 9. Making Past Truths
13991 Presentism has the problem that if Socrates ceases to exist, so do propositions about him [Markosian]
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]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
14002 Possible worlds must be abstract, because two qualitatively identical worlds are just one world [Markosian]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
14000 'Grabby' truth conditions first select their object, unlike 'searchy' truth conditions [Markosian]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
13990 Presentism is the view that only present objects exist [Markosian]
13992 Presentism says if objects don't exist now, we can't have attitudes to them or relations with them [Markosian]
13994 Presentism seems to entail that we cannot talk about other times [Markosian]
13995 Serious Presentism says things must exist to have relations and properties; Unrestricted version denies this [Markosian]
13996 Maybe Presentists can refer to the haecceity of a thing, after the thing itself disappears [Markosian]
13997 Maybe Presentists can paraphrase singular propositions about the past [Markosian]
13993 Special Relativity denies the absolute present which Presentism needs [Markosian]
27. Natural Reality / D. Time / 2. Passage of Time / k. Temporal truths
13998 Objects in the past, like Socrates, are more like imaginary objects than like remote spatial objects [Markosian]
13999 People are mistaken when they think 'Socrates was a philosopher' says something [Markosian]