Combining Texts

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

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38 ideas

3. Truth / B. Truthmakers / 2. Truthmaker Relation
A ground must be about its truth, and not just necessitate it [Merricks]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
Truthmaker needs truths to be 'about' something, and that is often unclear [Merricks]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
If a ball changes from red to white, Truthmaker says some thing must make the change true [Merricks]
Truthmaker says if an entity is removed, some nonexistence truthmaker must replace it [Merricks]
If Truthmaker says each truth is made by the existence of something, the theory had de re modality at is core [Merricks]
3. Truth / B. Truthmakers / 5. What Makes Truths / c. States of affairs make truths
Truthmaker demands not just a predication, but an existing state of affairs with essential ingredients [Merricks]
3. Truth / B. Truthmakers / 5. What Makes Truths / d. Being makes truths
If 'truth supervenes on being', worlds with the same entities, properties and relations have the same truths [Merricks]
If truth supervenes on being, that won't explain why truth depends on being [Merricks]
3. Truth / B. Truthmakers / 6. Making Negative Truths
It is implausible that claims about non-existence are about existing things [Merricks]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
Truthmaker isn't the correspondence theory, because it offers no analysis of truth [Merricks]
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Speculations about non-existent things are not about existent things, so Truthmaker is false [Merricks]
I am a truthmaker for 'that a human exists', but is it about me? [Merricks]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
Being true is not a relation, it is a primitive monadic property [Merricks]
If the correspondence theory is right, then necessary truths must correspond to something [Merricks]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationism just says there is no property of being truth [Merricks]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
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
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
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
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
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
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
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
Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
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
Constructibility: V = L (all sets are constructible) [Kunen]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
The totality state is the most plausible truthmaker for negative existential truths [Merricks]
8. Modes of Existence / B. Properties / 3. Types of Properties
Some properties seem to be primitive, but others can be analysed [Merricks]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
An object can have a disposition when the revelant conditional is false [Merricks]
9. Objects / A. Existence of Objects / 4. Impossible objects
Fregeans say 'hobbits do not exist' is just 'being a hobbit' is not exemplified [Merricks]
9. Objects / E. Objects over Time / 5. Temporal Parts
You believe you existed last year, but your segment doesn't, so they have different beliefs [Merricks]
10. Modality / B. Possibility / 9. Counterfactuals
Counterfactuals aren't about actuality, so they lack truthmakers or a supervenience base [Merricks]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
If 'Fido is possibly black' depends on Fido's counterparts, then it has no actual truthmaker [Merricks]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
Presentists say that things have existed and will exist, not that they are instantaneous [Merricks]
Presentist should deny there is a present time, and just say that things 'exist' [Merricks]
Maybe only presentism allows change, by now having a property, and then lacking it [Merricks]
27. Natural Reality / D. Time / 2. Passage of Time / k. Temporal truths
How can a presentist explain an object's having existed? [Merricks]