Combining Texts

All the ideas for 'Essentials of Pragmatism', 'Truthmaking for Presentists' and 'Set Theory'

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23 ideas

3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
18928 If maximalism is necessary, then that nothing exists has a truthmaker, which it can't have [Cameron]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
18931 Determinate truths don't need extra truthmakers, just truthmakers that are themselves determinate [Cameron]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
18932 The facts about the existence of truthmakers can't have a further explanation [Cameron]
3. Truth / B. Truthmakers / 9. Making Past Truths
18923 The present property 'having been F' says nothing about a thing's intrinsic nature [Cameron]
18926 One temporal distibution property grounds our present and past truths [Cameron]
18929 We don't want present truthmakers for the past, if they are about to cease to exist! [Cameron]
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]
8. Modes of Existence / B. Properties / 3. Types of Properties
18924 Being polka-dotted is a 'spatial distribution' property [Cameron]
9. Objects / E. Objects over Time / 2. Objects that Change
18930 Change is instantiation of a non-uniform distributional property, like 'being red-then-orange' [Cameron]
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
14794 Instead of seeking Truth, we should seek belief that is beyond doubt [Peirce]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
14792 A 'conception', the rational implication of a word, lies in its bearing upon the conduct of life [Peirce]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
14793 The definition of a concept is just its experimental implications [Peirce]
27. Natural Reality / D. Time / 3. Parts of Time / c. Intervals
18927 Surely if things extend over time, then time itself must be extended? [Cameron]